elementary math homework

Here you can generate printable math worksheets for a multitude of topics: all the basic operations, clock, money, measuring, fractions, decimals, percent, proportions, ratios, factoring, equations, expressions, geometry, square roots, and more. We also offer pages that list worksheets by grade levels (grades 1, 2, 3, 4, 5, 6, and 7).

The worksheets are available as both PDF and html files. They are also very : you can control the number of problems, font size, spacing, the range of numbers, and so on. The worksheets are generated randomly, so you get a different one each time.

All of the worksheets come with an answer key on the 2nd page of the file.

has been updated with more options — including worksheets in both PDF and html formats.

: you can of the worksheets for use in the classroom, home, tutoring center—anywhere you might be teaching. If you want to distribute the links or worksheets on a website or publication, please us.

Below you can see examples of the variety of the worksheets:

Elementary math

Money (various currencies)

Number theory

Ratio, proportion, and percent

Other math worksheet websites

DadsWorksheets.com - thousands of free math worksheets This site has over 5,000 different math worksheets from kindergarten to pre-algebra and growing.

Math Maze Generate a maze that practices any of the four operations. You can choose the difficulty level and size of maze.

• Skills by Standard
• Skills by Grade
• Skills by Category

Go to profile

• Assignments
• Assessments
• Report Cards
• Our Teachers

Get Started Learning With MathGames!

• Math Slither
• Launch The Llama
• Viking Queen Defense
• Math and Snacks
• Math vs Monsters
• Number Worms
• Math Invasion
• Candy Stacker
• King of Math
• Toon Balloonz
• Math Missile
• P Pre-Kindergarten 34 skills
• K Kindergarten 70 skills
• 1 Grade 1 83 skills
• 2 Grade 2 128 skills
• 3 Grade 3 91 skills
• 4 Grade 4 126 skills
• 5 Grade 5 120 skills
• 6 Grade 6 151 skills
• 7 Grade 7 184 skills
• 8 Grade 8 113 skills
• Measurement
• Mixed Equations
• Multiplication
• More Skills

Volume of Cubes and Rectangular Prisms

Relationship Between Area and Perimeter

Classify Quadrilateral Shapes

Multiplication with Pictures

• Instant setup using Google Classrooms, Remind or Office 355
• Create printable worksheets for offline practice
• Create detailed assignments, lesson plans and exit tickets
• Scratch pads to help students solve problems
• Detailed Reporting for Teachers and School Admins
• Skills Aligned to the Common Core Standards
• Tablet, Chromebooks, iPads and mobile phone ready -no downloads needed
• Trusted and used by over 5 million students in homes and classrooms

Math Games offers online games and printable worksheets to make learning math fun. Kids from pre-K to 8th grade can practice math skills recommended by the Common Core State Standards in exciting game formats. Never associated learning algebra with rescuing animals or destroying zombies? Time to think again!

Kids learn better when they're having fun . They also learn better when they get to practice new skills repeatedly . Math Games lets them do both - in school or at home .

Teachers and parents can create custom assignments that assess or review particular math skills. Activities are tailored so pupils work at appropriate grade levels . Worksheets can be downloaded and printed for classroom use , or activities can be completed and automatically graded online .

Best of all? It's completely free! Click on any of our games above to get started.

Get updates on what we do by following us on Twitter at @mathgames . Send us your comments, queries or suggestions here .

K-5 Math Resources

Whether they’re learning to count in kindergarten or dividing decimals in 5th grade, students can count on DoodleMath to turn math into a real adventure — and like any adventure, they’re bound to finish strong! Select your child’s grade and start the journey today. 

Select a grade

If you’ve ever wondered how to help your 3rd grader with math homework or what your child should know by the end of fifth grade , these elementary math resources are for you. Choose a grade level below to browse math skills and objectives by grade.

Kindergarten

A strong start makes all the difference. 

Find out more

Take a leap forward with addition and subtraction. 

A new year means new challenges – and bigger numbers!

Jump into upper elementary with multiplication and division. 

Keep climbing toward the top with fractions, angles, and more. 

At the top of the first mountain, it’s time to prepare for the next trail!

What's covered in K-5 math?

Well, a lot! In the six years your child spends in elementary school, they will learn a wide variety of mathematical skills and concepts.

In Kindergarten, students will learn how to count to 100 by ones and tens, the basics of addition and subtraction, and be introduced to measurement and shapes.

In first grade, students will learn addition and subtraction strategies that will help them understand more complex equations later on. They will learn how to add up to and within 20.

Second graders build on their addition and subtraction skills, learning to add up to and within 100. They will begin to estimate using their understanding of numbers and quantities.

In third grade, your child moves into more complex mathematics, like multiplication, division, and fractions. It can be a bit of a challenge, so be prepared to help them build confidence.

Once your child is in fourth grade they will learn how to multiply multi-digit numbers, understand place values, work with fractions, factors, and multiples, and analyze data.

Fifth-grade math standards aim to help your child become skilled in using multi-digit numbers, decimals, fractions, and measurement conversions to solve real-world problems.

Solving the mystery of elementary school math

Let’s step back in time for a second. You’re sitting at the kitchen table, staring at your math homework, completely lost on what to do. You ask for help, only for your parent to stare at you wide-eyed, as confused as you are. 

At DoodleMath , we remember that feeling – and we’re here to help. Using our knowledge of K-5 math, we’ve designed the games, guides, and practice problems children need to perfect their math skills — and that parents need to provide meaningful guidance along the way.

Why use DoodleMath? We can think of a few reasons.

1. The research doesn’t lie

Math can be a tedious subject. Many students struggle to pay attention, which can make it difficult to retain information. 

Recent studies have shown that engaging in activities like online math games can help students with retention, especially over the summer holidays. Games and short practice sessions can also help them stay interested when learning new concepts. 

2. Low stakes means better performance when it counts

In the classroom, everything can feel like high stakes. Students are so focused on getting good grades or not falling behind, they often miss out on the excitement of learning. 

With DoodleMath’s games and practice problems, students are allowed to make mistakes – in fact, we encourage it! The low stakes environment, complete with our step-by-step explanations on how to solve problems, will help them build their confidence so they can show off in the classroom where it counts!

3. Practice makes perfect

Whether it’s math, English, science or even physical education, you only get better the more you practice, right? 

The DoodleMath app and DoodleLearning give students a place to hone their math skills while providing guidance on how to grow and improve. Like any sport or skill, mastering math is all about practice, practice, practice.

4. Build memories and connections with your child

Whether they’re in kindergarten or 5th grade, children look up to the adults in their life. When they ask for help, they’re saying, “I trust you. I know you can find the right answer.” 

DoodleMath provides you with the guides and resources you need to provide meaningful assistance. That means that math homework can become less about stress and anxiety and more about working together to find the right answer. 

This leads to invaluable memories that your student will cherish for years to come, making them more likely to come to you when it matters most.

5. Real people designing real solutions

Any robot can spit out math problems. At DoodleLearning, we’re all about human connection. We’ve partnered with Discovery Education to bring you handcrafted guides and practice problems written by educational specialists to ensure you’re getting the best information possible. 

Parents, sign up for a DoodleMath subscription and see your child become a math wizard!

What we offer

Quick links

All rights reserved. 

Are you a parent, teacher or student?

Get started for free!

Intervention information pack

We ask for your contact info so we can send our info pack directly to your inbox for your convenience, english and spelling information pack, maths information pack, exam prep information pack, case studies information pack.

Book a chat with our team

I’m new to Doodle

My school is already using Doodle

Information pack

We ask for your contact info so that our education consultants can get in touch with you and let you know a bit more about doodle., student login, which programme would you like to use.

DoodleMaths

DoodleTables

DoodleEnglish

DoodleSpell

If you’d like to use Doodle’s browser version, please visit this page on a desktop.

To log in to Doodle on this device, you can do so through our apps. You can find out how to download them here:

• Join for FREE
• Printable Worksheets
• Online Lessons
• Test Maker™
• Printable Games
• Worksheet Generator
• Plans & Pricing

Printable & online resources for educators

• Test Maker TM

Share/Like This Page

Browse Printables

• Early Education

Kindergarten

All worksheets by subject.

• English Language Arts
• Life Skills

Elementary Math

Middle school math, high school math, arithmetic and number concepts, function and algebra concepts, decimals new, fractions new, geometry and measurement, multiplication.

• Place Value

Statistics and Probability

Subtraction, word problems new.

• Physical Education
• Seasonal and Holidays
• Social Studies
• Study Skills/Strategies
• Vocational Education
• Word Searches new!

Common Core ELA

Common core math, math worksheet generators, printable game generators, printable elementary math worksheets, tests, and activities.

Assess student understanding of arithmetic and geometry concepts with these math worksheets for K-5 students.

Worksheets labeled with are accessible to Help Teaching Pro subscribers only. Become a Pro Subscriber to access hundreds of standards aligned worksheets.

Daily Math Practice Printables

Supplement your lower elementary curriculum and reinforce essential math skills with our daily math practice worksheets. Each week features a two-page worksheet designed for front-to-back printing while providing space for student work. Use the four days of math problems for morning work or weeknight homework. Separate fifth day quizzes are included for optional progress monitoring. Worksheets are Common Core aligned and offer spiral review of previously covered standards. Select the worksheet link to view the alignment note in the upper left corner of its page. Review weeks may be used anytime during the school year to meet your teaching needs or as summer math practice.

General Practice Printables

• Student Work Form
• Work Corrections Form

Kindergarten Daily Math Practice

• Week 1: Daily Math Practice Quiz
• Week 2: Daily Math Practice Quiz
• Week 3: Daily Math Practice Quiz
• Week 4: Daily Math Practice Quiz
• Week 5: Daily Math Practice Quiz
• Week 6: Daily Math Practice Quiz
• Week 7: Daily Math Practice Quiz
• Week 8: Daily Math Practice Quiz
• Week 9: Daily Math Practice Quiz
• Week 10: Daily Math Practice Quiz
• Week 11: Daily Math Practice Quiz
• Week 12: Daily Math Practice Quiz
• Week 13: Daily Math Practice Quiz
• Week 14: Daily Math Practice Quiz
• Week 15: Daily Math Practice Quiz
• Week 16: Daily Math Practice Quiz
• Week 17: Daily Math Practice Quiz
• Week 18: Daily Math Practice Quiz
• Week 19: Daily Math Practice Quiz
• Week 20: Daily Math Practice Quiz
• Week 21: Daily Math Practice Quiz
• Week 22: Daily Math Practice Quiz
• Week 23: Daily Math Practice Quiz
• Week 24: Daily Math Practice Quiz
• Week 25: Daily Math Practice Quiz
• Week 26: Daily Math Practice Quiz
• Week 27: Daily Math Practice Quiz
• Week 28: Daily Math Practice Quiz
• Week 29: Daily Math Practice Quiz
• Week 30: Daily Math Practice Quiz
• Week 31: Daily Math Practice Quiz
• Week 32: Daily Math Practice Quiz
• Review 1: Counting Review Counting Quiz
• Review 2: Operations Review Operations Quiz
• Review 3: Geometry Review Geometry Quiz
• Review 4: Mixed Review Mixed Review Quiz

Grade 1 Daily Math Practice

• Review 1: Operations Review Operations Quiz
• Review 2: Numbers Review Numbers Quiz
• Review 3: Measurement Review Measurement Quiz
• Review 4: Geometry Review Geometry Quiz
• Review 5: Mixed Review Mixed Review Quiz

Constructive Response Practice and Review Worksheets

These tests feature questions modeled after PARCC Mathematics items. Search for PARCC questions to see all content available.

• Grade 3 Multiple-Choice Practice
• Grade 3 Math Practice (Long)
• Grade 3 Short Practice #1
• Grade 3 Short Practice #2
• Grade 3 Short Practice #3
• Grade 3 Short Practice #4
• Grade 3 Short Practice #5
• Grade 4 Angles
• Grade 4 Word Problems
• Grade 4 Fractions and Decimals
• Grade 4 Math Practice (Long)
• Grade 4 Multiple-Choice Practice
• Grade 4 Short Practice
• Grade 5 Multiple-Choice Practice
• Grade 5 Math Practice (Long)
• Grade 5 Short Practice #1
• Grade 5 Short Practice #2
• Grade 5 Short Practice #3
• Grade 5 Short Practice #4
• Grade 5 Short Practice #5

Elementary Arithmetic

• Picture Addition
• Picture Subtraction
• Counting to 100
• Counting Forward
• Writing Numbers 0 - 20
• Number Names and Count Sequence
• Greater Than, Less Than, and Equal To
• Writing Numbers 0 – 5
• Writing Numbers 6 - 10
• Writing Numbers 11 - 15
• Writing Numbers 16 - 20
• Counting Objects
• Comparing Two Numbers 1 – 10
• Counting & Cardinality Review
• 20 Chart – Missing Numbers
• 20 Chart – Missing Even Numbers
• 20 Chart – Missing Odd Numbers
• Counting By Tens
• Count and Write - Numbers 1 and 2
• Count and Write - Numbers 3 and 4
• Count and Write - Numbers 5 and 6
• Count and Write - Numbers 7 and 8
• Count and Write - Numbers 9 and 10
• Operations and Algebraic Thinking Review
• Counting to Ten
• Math Facts: Adding Within 5
• Math Facts: Subtracting Within 5
• Word Problem - Fluttering Butterflies!
• Word Problem - Growing Beans!
• Word Problem - Baking Pies!
• Word Problem - Let it Snow!
• Word Problem - Let's Play Soccer!
• Word Problem - Flying Birds!
• Word Problem - Sharing Balloons!
• Word Problem - Thank You Notes!
• Word Problem - Eating Muffins!
• Word Problem - Setting the Table!
• Subtraction Test
• Comparing Numbers 1 - 10
• More or Less
• Number 0 Writing Practice
• Number 1 Writing Practice
• Number 2 Writing Practice
• Number 3 Writing Practice
• Number 4 Writing Practice
• Number 5 Writing Practice
• Number 6 Writing Practice
• Number 7 Writing Practice
• Number 8 Writing Practice
• Number 9 Writing Practice
• Numbers: Roll and Write
• Count and Match Number Names
• Number Sequence Maze - 1 to 10
• Number Sequence Maze (2) - 1 to 10
• Counting Up or Counting Down?
• Liftoff! Counting Down from 10
• Addition Within 10 - Word Problems
• Addition Word Problems with Number Lines
• Missing Addends
• Place Value - Ten Ones
• Place Value - 11 to 19
• Place Value - Tens
• Solving Problems with Pictographs
• Place Value - Two-Digit Numbers
• Comparing Two-Digit Numbers
• Math Story – Bald Eagles
• 100 Chart – Missing Even Numbers
• 100 Chart – Missing Odd Numbers
• 100 Chart – Missing 5’s and 10’s
• 100 Chart – Missing Random Numbers
• 100 Chart – Mystery Picture #1
• 100 Chart – Mystery Picture #2
• 120 Chart – Missing Even Numbers
• 120 Chart – Missing Odd Numbers
• 120 Chart – Missing Random Numbers
• Addition Chart 0 to 5 - Blank
• Addition Chart 0 to 5 - Missing Sums #1
• Addition Chart 0 to 5 - Missing Sums #2
• Addition Chart 0 to 5 - Missing Sums #3
• Addition Chart 0 to 5 - Missing Sums #4
• Addition Chart 0 to 10 - Blank
• Addition Chart 0 to 10 - Missing Sums #1
• Addition Chart 0 to 10 - Missing Sums #2
• Addition Chart 0 to 10 - Missing Sums #3
• Addition Chart 0 to 10 - Missing Sums #4
• Word Problem - Pumpkin Picking!
• Word Problem - Pouring Apple Cider!
• Word Problem - Shopping for Boots!
• Word Problem - Serving Cake!
• Word Problem - Let's Play!
• Word Problem - Cooking with Tomatoes
• Word Problem - Bike Riding!
• Word Problem - Rain, Rain, Go Away!
• Word Problem - Apple Picking!
• Word Problem - She Finds Sea Shells!
• Finding 10 Less
• Subtraction Word Problems Within 10
• Subtraction Word Problems Within 20
• Subtraction Facts (0 - 20)
• Addition Facts (0 - 20)
• Skip Counting Maze - 2s
• Skip Counting by 5’s
• Tens and Ones - Base Ten Blocks
• Mystery Number - Two-Digit Numbers
• Dice Addition Cut and Paste
• Number Practice - One
• Number Practice - Two
• Number Practice - Three
• Number Practice - Four
• Number Practice - Five
• Number Practice - Six
• Number Practice - Seven
• Number Practice - Eight
• Number Practice - Nine
• Counting Within 20
• Single Digit Subtraction
• Single Digit Addition
• Adding up to 10 on Number Lines
• Addition Within 20 - Word Problems
• Adding Three Numbers – Word Problems
• Subtraction Word Problems with Number Lines
• Money Word Problems
• Word Problems - Adding & Subtracting up to 100
• Adding with Arrays
• Place Value Using Unifix Cubes
• Addition up to 20
• Subtraction up to 20
• Even and Odd Numbers up to 20
• Adding on Number Lines
• Subtracting on Number Lines
• Adding on a Ruler - Word Problems
• Subtracting on a Ruler - Word Problems
• Adding & Subtracting on a Ruler - Word Problems
• Input Output Tables - Addition & Subtraction
• Skip Counting Within 1000
• Skip Counting by 5s
• Skip Counting by 10s
• Skip Counting by 100s
• Skip Counting - Mixed Practice
• Three Digit Place Value
• Three-Digit Numbers
• 100 More and 100 Less Chart
• Math Story - General Sherman Tree
• Adding Three 2-Digit Numbers
• Adding Four 2-Digit Numbers
• Adding and Subtracting 10
• Even Numbers - Adding Doubles
• Number and Operations in Base Ten Review
• Number Chart (101 - 200)
• Number Chart (201 - 300)
• Number Chart (301 - 400)
• Number Chart (401 - 500)
• Number Chart (501 - 600)
• Number Chart (601 - 700)
• Number Chart (701 - 800)
• Number Chart (801 - 900)
• Number Chart (901 - 1,000)
• Operations & Algebraic Thinking Review
• Counting Backwards Within 100
• Counting to 1,000
• Fact Families
• Mystery Number - Three-Digit Numbers
• Smallest and Largest Three-Digit Numbers
• Expanded Notation
• Least and Greatest
• Two Digit Addition without Regrouping
• Double Digit Addition
• Addition Within 100 - Word Problems
• Double Digit Subtraction
• Subtraction Rule Tables
• Parts of a Subtraction Problem
• Subtraction Word Problems Within 100
• Color by Number Addition and Subtraction
• Rounding to 10s and 100s
• Adding up to 1000
• Comparing Visual Fraction Models
• Fractions as Parts of Sets
• Equivalent Fractions
• Subtracting within 1000
• Multiplying by 10s
• Numbers & Operations in Base Ten Review
• NBT Review Grade 3
• Representing Fractions on Number Lines
• Unit Fractions on Number Lines – Matching
• Fractions on Number Lines – Matching
• Graphing Fractions on Number Lines
• Shading Fraction Models
• Fraction Models
• Grade 3 Multiplication Test
• Multiplication Chart 1 to 10 - Missing Products #1
• Multiplication Chart 1 to 10 - Missing Products #2
• Multiplication Chart 1 to 10 - Missing Products #3
• Multiplication Chart 1 to 10 - Missing Products #4
• Multiplication Word Problem Practice - Pears
• Multiplication Word Problem Practice - Ski Race
• Multiplication Word Problem Practice - Seeds
• Multiplication Word Problem Practice - New Song
• Multiplication Word Problem Practice - Leaves
• Division Word Problem Practice - Art Class
• Division Word Problem Practice - Feeding Horses
• Division Word Problem Practice - Carpentry Work
• Division Word Problem Practice - Boxing Cupcakes
• Division Word Problem Practice - Recycling
• Multiplication Chart 1 to 10 - Blank
• Vertical Addition
• Addition Word Problems (Up to Three Digits)
• Word Problems (Addition and Subtraction)
• Multiplication Facts (0 - 12)
• Multiplication Facts (0 - 3)
• Multiplication Facts (4 - 6)
• Multiplication Facts (7 - 9)
• Smallest and Largest Four-Digit Numbers
• Mystery Number - Four-Digit Numbers
• Rounding to Tens Place
• Numbers Within 1,000
• Two Digit Addition with Regrouping
• Subtraction Word Problems Within 1000
• Estimating Differences
• Triple Digit Subtraction
• Multiplication Word Problems (Within 100)
• Multiplication Word Problems - Practice #1
• Multiplication Word Problems - Practice #2
• Multiplication by 1
• Multiplication by 2
• Multiplication by 3
• Multiplication by 4
• Multiplication by 5
• Multiplication by 6
• Multiplication by 7
• Multiplication by 8
• Multiplication by 9
• Multiplication by 10
• Dividing by 2 - No Remainders
• Dividing by 3 - No Remainders
• Dividing by 4 - No Remainders
• Dividing by 5 - No Remainders
• Dividing by 6 - No Remainders
• Dividing by 7 - No Remainders
• Dividing by 8 - No Remainders
• Division: 2 Digits by 1 Digit - No Remainders
• Division Word Problems Within 100
• Division Word Problems - Practice #1
• Division Word Problems - Practice #2
• Fraction Word Problems Practice (Grade 3)
• Mixed Operation Word Problems - Practice #1
• Mixed Operation Word Problems - Practice #2
• Mixed Operation Word Problems - Practice #3
• Roman Numerals
• Roman Numerals I - X
• Fraction Practice: One-Half
• Comparing Fractions
• Fraction Equivalence with Models
• Ordering Unlike Fractions
• Decomposing Fractions
• Identifying Equivalent Fraction Models
• Equivalent Fractions - Denominators of 10 & 100
• Fraction Word Problems - Addition & Subtraction
• Subtracting Fractions with Like Denominators
• Subtracting Money
• Completing Patterns with Images
• Generating Patterns
• Number Pattern Word Problems
• Decimal Grids - Tenths
• Decimal Grids - Hundredths
• Decimal Grids - Mixed Practice
• Shading Decimal Grids
• Rounding Large Numbers
• Rounding Multi-Digit Whole Numbers
• Comparing Large Numbers
• Understanding Place Value
• Understanding Place Value - Large Numbers
• Converting Place Values
• NBT Review Grade 4
• Multiplication Word Problems - Two-Digit Numbers
• Whole Number Multistep Word Problems
• Multiplicative Comparison Word Problems
• Multiplicative Comparison Statements
• Multiplying Fractions and Whole Numbers
• Grade 4 Multiplication Test
• Finding Multiples of One-Digit Numbers
• Finding Factor Pairs
• Prime and Composite Numbers Practice
• Multiplication Word Problems - Practice #3
• Long Division
• Adding Multi-Digit Whole Numbers-Word Problems
• Subtraction Word Problems - Up To 5 Digits
• Word Problems (Multiplication and Division)
• Writing Numbers
• Inserting Commas in Numbers
• Ordering Whole Numbers
• Rounding to Hundreds
• Converting Between Fractions and Decimals
• Even and Odd Numbers
• Number Patterns
• Dividing by 1 Digit Numbers
• Selecting the Best Mathematical Operation
• Prime Numbers
• Adding Fractions with Like Denominators
• Multiplying and Dividing Fractions
• Triple Digit Addition
• Subtracting 4 Digit Numbers
• 2 Digit by 1 Digit Multiplication
• 3 Digit by 1 Digit Multiplication
• Dividing by 9 - No Remainders
• Division with 1 Digit Divisors
• Division: 3 Digit by 1 Digit
• Division: 4 Digit by 1 Digit
• Division Word Problems (2-Digit by 1-Digit)
• Division Word Problems - Practice #3
• Division Word Problems - Practice #4
• Minecraft-Themed Word Problems
• Fraction Word Problems Practice (Grade 4)
• Mixed Operation Word Problems - Practice #4
• Mixed Operation Word Problems - Practice #5
• Mixed Operation Word Problems - Practice #6
• Mixed Operation Word Problems Quiz
• Ordering Fraction Models
• Graphing Improper Fractions on Number Lines
• Comparing Decimals to Thousandths
• Reading and Writing Decimals to Thousandths
• Rounding Decimals
• Adding and Subtracting Decimals to Hundredths
• Multiplying and Dividing Decimals to Hundredths
• Interpreting Fractions
• Fraction Word Problems - Multiplication
• Fraction Word Problems - Division
• Add and Subtract Fractions - Unlike Denominators
• Dividing Fractions and Whole Numbers
• Number & Operation - Fractions Review
• NBT Review Grade 5
• Powers of 10
• Place Value Patterns
• Evaluating Numerical Expressions (Multiple-Choice)
• Two Number Patterns Using Two Rules
• Multiplying 3-Digit Numbers by 2-Digit Numbers
• Writing Simple Numerical Expressions
• Expressions with Parentheses, Brackets, & Braces
• Evaluating Numerical Expressions
• Place Value Patterns - Fill-ins
• Multiplying Fractions – Fractions & Decimals
• Adding & Subtracting Fractions-Unlike Denominators
• Identifying Equivalent Fractions
• Fractions - Reciprocals
• Recipe Word Problems Involving Fractions
• Adding Fractions
• Fraction Constructed Response
• Mixed Number Word Problems
• Prime Factorization
• Decimal Word Problems
• Adding Decimals
• Subtracting Decimals
• Comparing Decimals
• Round Decimals
• Decimals - Mixed Operations
• Decimals in Words - Tenths
• Rounding Decimals to Whole Numbers
• Rounding to Tenths
• Ordering Decimals
• Multiplying Decimals
• 3 Digit by 2 Digit Multiplication
• Dividing by 10 - No Remainders
• Dividing by 11 - No Remainders
• Dividing by 12 - No Remainders
• Division: 3 Digits by 2 Digits
• Division: 4 Digits by 2 Digits - No Remainders
• Division: 3 Digit by 2 Digit
• Division: 4 Digit by 2 Digit
• Division: Mixed Practice

Elementary Geometry and Measurement

• Recognizing Circles
• Recognizing Squares
• Recognizing Triangles
• Identifying Flat and Solid Shapes
• Comparing Flat Shapes
• Comparing Solid Shapes
• Relative Positions Matching #1
• Relative Positions Matching #2
• Relative Positions Matching #3
• Relative Positions Matching #4
• Opposite Relative Positions Matching
• Describing Positions
• Flat or Solid?
• Classifying and Counting Objects
• Understanding Solid Figures
• Understanding Shapes
• Bigger and Smaller
• Which Holds More or Less
• Measurable Attributes of Objects
• Measurement and Data Review
• Geometry Review - Kindergarten
• Shape Coloring
• Identifying Colors
• Telling Time with Clocks
• Drawing Clock Hands - Hours
• Drawing Clock Hands - Hours and Half-Hours
• Matching Clocks to Time – Hour Increments
• Matching Clocks to Time – Half-Hour Increments
• Telling Time - Digital and Analog Clocks #1
• Reading Digital Clocks to Hours and Half-Hours
• Composite Shapes
• Comparing Lengths of Objects
• Longer or Shorter
• Geometry Review
• Coloring Shapes by Attribute
• Partitioning Circles and Rectangles
• Reading Clocks
• Measuring Length with Blocks
• Identifying Squares
• Identifying Triangles
• Identifying Circles
• Comparing Coin Values
• Canadian Coins
• Naming Canadian Money
• Matching Analog and Digital Clocks #1
• Matching Analog and Digital Clocks #2
• Estimating Time - Hours or Minutes?
• Days of the Week
• Months of the Year
• Coin Word Problems
• Shape Properties
• Matching 2D and 3D Shapes #1
• Matching 2D and 3D Shapes #2
• Matching Solid Shapes
• Solid Shapes – Cube
• Solid Shapes - Cylinder
• Solid Shapes - Cone
• Measuring and Estimating Length
• Units of Length Word Problems
• Counting Money - Coins
• Counting Money – Coins & Bills
• Drawing Clock Hands - 5 Minute Intervals
• Drawing Clock Hands - 10 Minute Intervals
• Drawing Clock Hands - Quarter Hours
• A.M. or P.M.?
• A.M. or P.M. with Clocks
• Telling Time - Digital and Analog Clocks #2
• Reading Digital Clocks to Nearest Five Minutes
• Identifying Shapes
• Halves, Thirds, and Fourths
• Identifying Pennies
• Identifying Nickels
• Identifying Dimes
• Identifying Quarters
• Identifying Coins
• Money - Ways to Make the Same Amount #1
• Money - Ways to Make the Same Amount #2
• Money - Ways to Make the Same Amount #3
• Money - Ways to Make the Same Amount #4
• Counting Canadian Coins
• Comparing Canadian Coin Values
• Matching Analog and Digital Clocks #3
• Matching Analog and Digital Clocks #4
• Matching Analog and Digital Clocks #5
• Drawing Clock Hands - Minutes #1
• Drawing Clock Hands - Minutes #2
• Drawing Clock Hands - Time in Words #1
• Drawing Clock Hands - Time in Words #2
• Measuring Time in Minutes
• Reading Digital Clocks to Nearest Minute
• Telling Time - Digital and Analog Clocks #3
• Measuring with Rulers - Inches
• Measuring with Rulers – Half-Inch
• Measuring Objects with Rulers
• Understanding Quadrilaterals
• Measuring Area with Unit Squares
• Area of Plane Figures
• Perimeter - Finding Side Lengths
• Area with Visual Fractions
• Equal Parts
• Estimating Mass and Volume
• Perimeters of Polygons
• Comparing Visual Fractions
• Volume in Unit Cubes – Matching
• Naming 3-Dimensional Shapes
• Calculating Change
• Reading Thermometers
• Metric System
• Selecting Metric Units
• Canadian Coin Word Problems
• Perimeter Word Problems
• Elapsed Time
• Adding and Subtracting Hours
• Matching Analog and Digital Clocks #6
• Days of the Week - Tomorrow
• Reading a Schedule
• Schedule Sleuth
• Lines, Rays, and Segments
• Classifying Triangles
• Classifying Two-Dimensional Figures
• Measuring with Protractors
• Measuring Angles
• Drawing Lines of Symmetry
• Classifying Angles
• Symmetry Cut-and-Fold
• Recognizing Lines of Symmetry
• Grade 4 Geometry Review
• Identifying Parallel Lines
• Identifying Perpendicular Lines
• Identifying Parallel and Perpendicular Lines
• Comparing Decimals to Hundredths - Grids
• Decimal Notation for Fractions - Grids
• Money Word Problems - Addition and Subtraction
• Money Word Problems - Multiplication and Division
• Time Conversions
• Converting Time Units
• Time Word Problems
• Elapsed Time Chart
• Elapsed Time Chart - Mixed Practice
• Calendar Math - Comparing Time
• Calendar Math - Converting Time
• Classifying Quadrilaterals
• Customary Units of Measurement
• Selecting Customary Units
• Measuring Volume
• Identifying Polygons
• Area of Rectangles Word Problems
• Coordinate Plane - First Quadrant Problems
• Graphing Points in the First Quadrant
• Converting Within the Metric System
• Converting with Customary Units
• Converting Customary Units - Volume
• Making Line Plots
• Volume in Cubic Units
• Measuring Volume by Counting
• Volume - L x W x H
• Additive Volumes of Right Rectangular Prisms
• Regular or Irregular Polygon?
• Recognizing Parallelograms
• Classifying Quadrilaterals by Properties
• Converting Metric Masses
• Converting Metric Lengths
• Converting Metric Volumes
• Multistep Money Word Problems

Elementary Statistics and Probability

• Single-Unit Scale Bar Graphs
• Comparing Data with Bar Graphs
• Scaled Bar Graphs
• Interpreting a Line Plot
• Ice Cream Cone Pictograph
• Soccer Pictograph
• Kwanzaa Pictograph
• Weather Pictograph
• Cupcake Pictograph
• What Type of Graph?
• Reading Bar Graphs – Plant Growth
• Reading Bar Graphs – Distance
• Reading Horizontal Bar Graphs
• Creating a Line Plot - Measuring Pencils
• Creating a Line Plot - Measuring Books

© Copyright Notice: All worksheets contain copyrighted work and are designed for use by individual teachers, tutors, and parents. Worksheets and/or questions may not be replicated or redistributed in any way outside HelpTeaching.com, regardless of intended usage, without explicit permission .

• Privacy Policy
• Terms of Use
• FREE Printable Worksheets
• Common Core ELA Worksheets
• Common Core Math Worksheets

In order to continue enjoying our site, we ask that you confirm your identity as a human. Thank you very much for your cooperation.

If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

To log in and use all the features of Khan Academy, please enable JavaScript in your browser.

Unit 1: Algebra foundations

Unit 2: solving equations & inequalities, unit 3: working with units, unit 4: linear equations & graphs, unit 5: forms of linear equations, unit 6: systems of equations, unit 7: inequalities (systems & graphs), unit 8: functions, unit 9: sequences, unit 10: absolute value & piecewise functions, unit 11: exponents & radicals, unit 12: exponential growth & decay, unit 13: quadratics: multiplying & factoring, unit 14: quadratic functions & equations, unit 15: irrational numbers, unit 16: creativity in algebra.

Reading & Math for K-5

• Kindergarten
• Learning numbers
• Comparing numbers
• Place Value
• Roman numerals

Subtraction

• Multiplication
• Order of operations
• Drills & practice

Measurement

• Factoring & prime factors
• Proportions
• Shape & geometry
• Data & graphing
• Word problems
• Children's stories
• Leveled Stories
• Sentences & passages
• Context clues
• Cause & effect
• Compare & contrast
• Fact vs. fiction
• Fact vs. opinion
• Main idea & details
• Story elements
• Conclusions & inferences
• Sounds & phonics
• Words & vocabulary
• Reading comprehension
• Early writing
• Numbers & counting
• Simple math
• Social skills
• Other activities
• Dolch sight words
• Fry sight words
• Multiple meaning words
• Prefixes & suffixes
• Vocabulary cards
• Other parts of speech
• Punctuation
• Capitalization
• Narrative writing
• Opinion writing
• Informative writing
• Cursive alphabet
• Cursive letters
• Cursive letter joins
• Cursive words
• Cursive sentences
• Cursive passages
• Grammar & Writing

Breadcrumbs

Download & Print From only $2.00

Fourth Grade Math Worksheets

Grade 4 math worksheets.

Our grade 4 math worksheets help students  build mastery in computations with the 4 basic operations , delve deeper into the use of fractions and decimals and introduce concept related to factors.  

4 Operations

Place Value & Rounding

Mental Multiplication

Multiply in Columns

Mental Division

Long Division

Order of Operations

Fractions & decimals

Fractions to/from Decimals

Roman Numerals

Data & Graphing

Word Problems

Sample Grade 4 Math Worksheet

What is K5?

K5 Learning offers free worksheets , flashcards  and inexpensive  workbooks  for kids in kindergarten to grade 5. Become a member  to access additional content and skip ads.

Our members helped us give away millions of worksheets last year.

We provide free educational materials to parents and teachers in over 100 countries. If you can, please consider purchasing a membership ($24/year) to support our efforts.

Members skip ads and access exclusive features.

Learn about member benefits

This content is available to members only.

Join K5 to save time, skip ads and access more content. Learn More

• Forgot Password?

• Rating Count
• Price (Ascending)
• Price (Descending)
• Most Recent

Elementary math homework

Resource type.

Personal Finance Unit - PBL Simulation - Print and Google™ Drive

Back to School Math Activities All About Me - Beginning of the Year Math

Algebra 2 / Precalculus with Intro to Calc Word Wall - Bundle

Consumer Math - Financial Literacy - Personal Finance Curriculum BUNDLE

3rd Grade Math Spiral Review - Morning Work, Math Homework, or Warm Ups BUNDLE

4th Grade Math Spiral Review - Morning Work, Math Homework, or Warm Ups BUNDLE

2nd Grade Math Spiral Review - Morning Work, Math Homework, or Warm Ups BUNDLE

5th Grade Math Spiral Review - Morning Work, Homework, or Warm Ups

Parent Handouts for Preschool, Pre-K, TK, and Kindergarten - English & Spanish

Back to School Coloring Pages- Color by Number Code Math Worksheets Add Subtract

6th Grade Math Review - Spiral Math Homework, Warm Ups, Progress Monitoring

Kindergarten Math Literacy Centers Worksheets Activities Summer Back to School

Take Home Folder Covers with Labels and Homework Helper Inserts

Addition & Subtraction to within 20 Worksheets Math Fact Fluency Practice: Sp Ed

Kindergarten Summer Review Kinder to 1st Grade Packet Math Activities

1st Grade Math Spiral Review - Morning Work, Math Homework, or Warm Ups BUNDLE

4th Grade Daily Math Spiral Review Morning Work [Editable]

5th Grade Daily Math Spiral Review Morning Work [Editable]

Summer Packet & Early Finishers Activities - Math Review, End of Year 2nd Grade

Homework, Homework Sheets with Homework Folder Labels, 2nd Grade Homework

Area and Perimeter Worksheets No Prep

Sorting Objects by Categories Activities Attributes Size Color Shape Weight

3rd Grade Math Spiral Review Morning Work Worksheets, Homework, Math Test Prep

INSTANT Math Tool Kit

3rd Grade Daily MATH Spiral Review Morning Work [Editable]

Color by Number Bundle 2-digit Addition & Subtraction with Regrouping Worksheets

Preschool Review Worksheets PreK Summer Packet Kindergarten Readiness Activities

Addition and Subtraction Themed Word Problems (within 20)

Find math resources | tpt, importance of learning math skills.

It's no secret that mathematics is one of the foundational subjects that students need to learn. Math forms the basis for so many other subjects — like science, engineering, and technology — and because of that, it's essential that students develop strong math skills starting from a very young age.

Benefits of learning math

Learning math has many benefits. It helps students:

• Begin to develop problem-solving, logical reasoning, and critical-thinking skills
• Grow their understanding of numbers and basic operations
• Understand how math is used in real-life situations

By ensuring that students have a solid foundation, teachers can help set them up for future success.

Discover printable and digital math resources

Math resources are an integral part of effective math education. On TPT, math resources come in various forms: from worksheets and full-year curricula to manipulatives and educational games. They can be used to enhance learning, assess student’s mastery of math concepts, and engage students in meaningful learning. By incorporating math resources from TPT into your teaching toolbox, you can create a rich learning experience that strengthens students’ understanding of math concepts and encourages a positive attitude toward math.

If you’re a teacher or parent looking for printable and digital math worksheets, TPT has an extensive collection of math resources across topics and grade levels. No matter what math topic your students are working on — whether you’re teaching numbers to kindergarteners or algebra to 9th graders — TPT has resources designed to help with any math learning need.

With a little encouragement and plenty of resources, TPT resources can make teaching and learning math so much easier. Plus, you can expand students’ knowledge even further by exploring TPT science resources, which are frequently paired with math lessons.

Frequently asked questions about math resources

What types of math lessons are available on tpt.

There are many different types of math resources sold by Sellers on TPT. Some popular math lessons include geometry, mental math, algebra, fractions, place value, measurement, and decimals.

How do I find math lessons on TPT?

Educators can save time preparing math lessons with resources created by experienced teachers. Simply start a search for math resources on the TPT marketplace, and filter by grade level, price, and/or resource type to find materials that've been proven to work in classrooms like yours. No matter what you’re teaching, there are plenty of math lessons and activities sold by Sellers on TPT that are tailored to meet your students' skill levels.

How do I support students struggling with math?

If your student or child is struggling with a specific math concept, you can provide extra support and resources such as math worksheets. Sometimes, visual aids like charts, graphs, and manipulatives can help children understand abstract concepts better.

How can I make math fun?

Students learn best when they're engaged! Sprinkle a little fun into your math lessons by using educational games, videos, puzzles, and real-life scenarios. If your class seems to find math boring or uninteresting, you can also try connecting lessons to their interests or hobbies. Encourage them to ask questions and explore mathematical concepts in different ways.

• We're hiring
• Help & FAQ
• Privacy policy
• Student privacy
• Terms of service
• Tell us what you think

The Elementary Mathematics Project (EMP) is an NSF-funded project out of Boston University whose overarching goal is to develop and disseminate learning materials that strengthen pre-service elementary teachers’ understanding of mathematics.  Learn More .

Improving Pre-Service Elementary Teachers’ Mathematical Knowledge for Teaching

Our mission.

Mathematical knowledge for teaching (MKT) refers to the “mathematical knowledge needed to carry out the work of teaching mathematics” (Ball, Thames, & Phelps, 2008). Simply knowing how to do mathematics is not sufficient; teachers must also know the mathematics they teach deeply and in ways that can help their students learn. The importance of developing this mathematical knowledge through coursework and professional development is undeniable (CBMS, 2012).

In light of this need, our mission is two-fold: 1) to develop and test learning materials to improve pre-service elementary teachers’ mathematical knowledge for teaching; and 2) to develop and test instructor support materials to grow faculty expertise in using our learning materials in their content and methods courses.

Development of EMP Learning Materials

50+ Lessons and Support Materials

The EMP curriculum includes more than 50 lessons and corresponding support materials spanning 7 key mathematical content areas, or units. These units can be combined in different ways to create two or three college-level courses (depending on credit hours) for teaching mathematics content to future elementary teachers.  The content and pedagogies used in the EMP instructional materials align with recommendations from the Association of Mathematics Teacher Educators’  Standards for Preparing Teachers of Mathematics  and the Conference Board of the Mathematical Sciences’ Mathematical Education of Teachers I  and II  reports. Content focuses on essential concepts and procedures that future elementary teachers need to understand. The lessons were designed to be taught using inquiry and research-based instructional strategies. For example, in order to support the construction of shared meaning, PTs participate in discourse communities where learning revolves around discussions, student-led presentations, and problem solving.

The EMP curriculum includes support materials (print, interactive software, and videos) for faculty members. The support materials include general information related to all units such as documents about setting classroom norms and using discussion-based instruction; information related to each specific unit such as documents about online teaching and the key mathematical ideas; and information related to each specific lesson such as Instructor’s Guides and homework files.  These materials are educative – namely, they were designed so that faculty members could learn from them. Educative features of the Instructor’s Guides include: a) elaborations of the mathematical content, including representations regularly used in elementary instruction, b) suggestions for how to use student-centered pedagogies, c) information about the instructor’s role as a co-participant in the community, d) details about PTs as learners of this content, and e) connections to teaching elementary children the content.

Key Mathematical Content Areas

The Fractions unit consists of 10 mathematical lessons that explore important fraction concepts as well as fraction operations. Topics studied include the concept of a fraction, equivalent fractions, fraction comparisons, addition and subtraction of fractions, multiplication and division of fractions, and converting fractions to decimals.  These lessons emphasize topics that are most relevant to the teaching of children in grades K-5, and are mentioned in the Common Core State Standards for Mathematics  (2010).

Number Theory

The Number Theory unit consists of 6 mathematical lessons that explore important number theory concepts and procedures typically studied starting in the elementary grades. Topics studied include factors, prime factorization, divisibility, divisibility rules, greatest common factor, and least common multiple. Emphasis is placed on developing a deeper understanding of the multiplicative structure of integers, a central concept in number theory that supports other critical topics in the elementary grades.

Geometric Measurement

The Geometric Measurement unit consists of 9 mathematical lessons that explore foundational measurement concepts as well as the justifications of key measurement formulas. Topics studied include area concepts, area and perimeter relationships, area formulas, surface area, and volume. In the  Mathematical Education of Teachers   II  (Conference Board of Mathematical Sciences, 2012) document, these topics are mentioned as ones that future teachers of elementary school students should have opportunities to study in depth.

NOTE: See the Geometry unit for an alternate, updated version of the Prisms lesson that can be used instead of the version posted here.

The Geometry unit consists of 11 mathematical lessons that explore core concepts in two-dimensional Euclidean geometry as well as solid geometry. Topics studied include sorting attributes, defining angle, parallel and intersecting lines, defining polygons, classifying and constructing triangles, classifying quadrilaterals, the sum of interior angles of polygons, tessellations, visualization with nets, and prisms. A running theme throughout the unit is on classifying shapes by their attributes.

Number Concepts

The Number Concepts unit consists of 6 mathematical lessons that explore important concepts related to the place value number system. Topics studied include characteristics of the base-ten place value system, different place values, large numbers, decimals, modeling decimal quantities, comparing and ordering decimal quantities, and representing fractions as decimals. There is an extensive focus on place value structure and modeling throughout the unit.

Addition & Subtraction

The Addition & Subtraction unit consists of 7 mathematical lessons focused on the addition and subtraction operations. Topics studied include addition and subtraction story problems, addition strategies and algorithms, subtraction strategies and algorithms, and addition and subtraction of decimals. There is significant attention placed on number decomposition, number line modeling, and the arithmetic properties throughout the unit.

Multiplication & Division

The Multiplication & Division unit consists of 8 mathematical lessons focused on the multiplication and division operations. Topics studied include multiplication and division situations, multiplication strategies and algorithms, multiplication games, measurement and partitive division, division strategies and algorithms, and multiplication and division of decimals. Across lessons, there is an emphasis on array models and on the distributive property.

Written Lesson Materials

The Lesson, Lesson Answers

Instructor’s Guide

Homework, Homework Answers

Become an EMP User

Our written and multimedia materials are currently available for general dissemination. If you are interested in using our written and/or multimedia materials in a mathematics content or mathematics methods course, please contact Suzanne Chapin at [email protected] or  [email protected].

Multimedia Materials

Video clips to support faculty members in using more student-centered instruction are used by this project. There are 192 video clips across the EMP lessons (1 to 5 videos per lesson). Furthermore, another 108 video clips are in the searchable EMP Video Library.  The video library is organized around five categories: Discourse ,  Mathematical Reasoning ,  Norms, Pedagogical Challenges,  and Extended Clips . The videos provide images of experienced instructors teaching future elementary teachers in mathematics content courses. Each video includes preservice teachers grappling with complex ideas from an EMP lesson and instructors facilitating participants’ engagement with the content. Commentary from the curriculum designers accompanies each clip to provide context, highlight particular actions and questions made by the instructors or students, or explain the instructor’s decision-making.

The EMP project team also created supports for synchronous online teaching of the EMP lessons.  Information for using EMP online outlines strategies, tools, and resources for establishing community and norms, setting up routines for small group work, structures for increasing engagement, and ideas for using online tools such as Google Slides and Jamboards. Additionally, for all 57 lessons, online lesson guides suggest which problems are best to have students work on prior to a class meeting, during small group time, and during whole group time.  These lesson-specific guides contain Google Slide presentations that can be edited collaboratively by faculty and students.  There are also tips for engaging students, collecting feedback, and using the chat and video features during online class time.

Elementary Algebra

(12 reviews)

John Redden, College of the Sequoias

Copyright Year: 2011

ISBN 13: 9781453300923

Publisher: Saylor Foundation

Language: English

Formats Available

Conditions of use.

Learn more about reviews.

Reviewed by Loretta Waldroupe, Math Specialist, Cowley Community College on 5/14/21

Our college uses the same textbook for Elementary and Intermediate Algebra. This book is missing some of the Intermediate Algebra content that we cover. However, as just an Elementary Algebra book I feel the book covers all the necessary material.... read more

Comprehensiveness rating: 4 see less

Our college uses the same textbook for Elementary and Intermediate Algebra. This book is missing some of the Intermediate Algebra content that we cover. However, as just an Elementary Algebra book I feel the book covers all the necessary material. There is no glossary/index which I feel would be very helpful.

Content Accuracy rating: 3

The accuracy depends on the version you use. In the PDF version the fractions are not displayed correctly. They do appear correctly in the online version. However, for those students who prefer the physical version of the text this could create some issues.

Relevance/Longevity rating: 5

The thing with math is the concept does not change. Even in updated versions of book the content stays the same. The only thing they change is updating some word problems to more current data. So, I feel the relevance of the book is excellent and is not something that will change quickly like some subjects do.

Clarity rating: 4

The book is clear and easy to understand. I love the key take-aways idea. The graphs are nice and clear. I feel for clarity purposes some of the inconsistencies between the online and PDF versions should be take care of. The explanation are clear and easy to understand. This is important for this level of math student.

Consistency rating: 4

For the most part the consistency of the book is good. There are some places that need fixed where the equation is sometimes quite a bit smaller than the text in the PDF version. This occurs even if it is right next to the text and could be a hindrance to some students. Other than that I like the consistency.

Modularity rating: 4

I love how the book is broken down into short sections. The graphs are big enough to actually see without feeling like you need a magnifying glass to read the points on the graph.

Organization/Structure/Flow rating: 5

The organization of the book is great. I feel it covers the topics in a good order making sure they build on a solid foundation. I really like the odd answers being at the end of the section so that you do not have to keep flipping to the back of the book to check your answers. There are a good variety of questions to choose from and the teacher can choose some with the answers given so the student knows if they are right and some without so that the teacher knows the student is actually working out the problems and not just giving answers.

Interface rating: 4

I did not have any problems with navigating through the textbook. The table of contents made it easy to navigate to whatever section I wanted to go to. I like the idea of getting there quickly and efficiently. I wish there was a glossary/index to help the student find the page of certain terms more quickly.

Grammatical Errors rating: 3

I found several errors in the PDF version of the text. Fractions were displayed correctly and would look like a whole number instead of a fraction. This can cause confusion for the students.

Cultural Relevance rating: 4

I did not see any issues with the cultural relevance of the book.

I feel if the PDF version did not have the grammatical errors it would be a good text for any Elementary Algebra student.

Reviewed by Jesna Nissam, Instructor, Hawaii Community College on 3/18/21

Online Version: A great book for the beginners in Algebra. Provides a very clear picture of the common elementary algebra contents. Also covers few intermediate algebra contents needed for the students of that stage. The exercise set is well... read more

Online Version: A great book for the beginners in Algebra. Provides a very clear picture of the common elementary algebra contents. Also covers few intermediate algebra contents needed for the students of that stage. The exercise set is well defined and legible. There is no glossary but the table of content is available in orderly manner. I like the way how the examples are presented in a very simple and clear manner.

With regard to PDF version the table of content is not given, there are plenty symbolic errors seen in the text book specially in the radical section.

Content Accuracy rating: 4

Good accuracy is seen in the online version of the book. But I found few error specifically in the radical section when I downloaded the book in PDF format and figured out the roots in the question is not clearly located. Specially for the students who like a hard copy of textbook for their reference, it will be difficult for them to understand the questions.

The relevancy of book is good. The contents for elementary algebra and the method of solving will remain the same for years to come. The word problems are also presented in a simple layman's language so that its easier for students to understand which should be good for years to come.

Clarity rating: 3

For online users the clarity is good. The presentation is simple, legible and easy to understand. For PDF users the clarity of mathematical symbols should be taken care of.

Consistency rating: 5

I like the consistency of this book. Each chapter starts with learning objectives, there are boxes for cautions, video solutions are available , tips are given based on the topics required and the chapter ends with key takeaways.

Modularity rating: 3

For online access of the book: Modularity is a strong point of this book. The chapters are broken into easily accessible sections. For PDF version there is no content of table given.

For online access: The book is organized in very clear order. A teacher has an option to choose good range of questions based on the difficulty level.

Interface rating: 3

There are lots of inconsistencies seen on the PDF version of the book. A teacher using this book should give clear guidance on using the online version and should make the students aware of the errors seen in the PDF version.

Grammatical Errors rating: 5

No grammatical error seen.

Cultural Relevance rating: 3

For a diverse classroom some of cultural related questions can help students get a better understanding.

Overall this is a good book. The book is organized in a very neat manner with a lot examples and exercise questions. I would not hesitate using this book as my textbook for the class if relevant changes are made in the PDF version such as including the table of content and fixing the symbolic errors.

Reviewed by Said Raki, Mathematics Instructor, NTCC on 4/27/20

The book gives students a good insight about pre-Algebra concepts. I gave is a five because of the breaking down of the problems and the use of the colors to reach the visual learners. There is no glossary, but a table is given. read more

Comprehensiveness rating: 5 see less

The book gives students a good insight about pre-Algebra concepts. I gave is a five because of the breaking down of the problems and the use of the colors to reach the visual learners. There is no glossary, but a table is given.

Looking at the examples, and exercises given to students for practice, the book is accurate. I did not find any errors. I cannot say that the book is culturally sensitive. The book is not as diverse as our today classrooms.

Relevance/Longevity rating: 4

The longevity of the bool is good. The topics will be still good many years to come. It won't be a lot of changes. The use of certain symbols like the radical could more clear at times so student will not make mistakes reading them.

Clarity rating: 5

The vocabulary use is clear and easy to understand for student of that age group.

The book is consistent all the way. I gave a high rating for that.

Modularity rating: 5

The book is split in good and easy to read parts. It makes is easy for teachers and students as well.

Organization/Structure/Flow rating: 4

The book is well organized. There is a linearity in the topics studied and I can see a logical follow up. The only minor point, is a small review before starting the new chapter so the students can rely on the previous chapters for better understanding.

There is inconsistencies on the PDF version of the book. The book is using different platform to display content (like math symbols) which are not clear on the PDF version of the book, It is always better to tell the audience which platform to use for better reading.

I did not see or encounter any grammatical errors even though I did not read every sentence in the book.

I did not see any relevance of cultural insensitivity, but looking at the diversity of our classrooms, the book should add some cultural items to help the minority students understand the topics using their cultural background.

The book has a lot of potential to it. There is a need for cultural sensitivity on the mathematical topics, and also raising the bar to help some advance students get a head, and get more challenged.

Reviewed by Bill Diss, Instructor, Portland Community College on 8/2/18

The book is very comprehensive. There is a table of contents but no glossary. read more

The book is very comprehensive. There is a table of contents but no glossary.

Content Accuracy rating: 5

I did not see any errors.

The book's relevance/Longevity is one of the strongest features. The book does not have that much text, which is very good for fast learning and reading. Additionally the efficient use of text results in short worded problems. The worded problems do not have a great deal of special names of people or places or events, thus they appear to be applicable to many groups and should be pertinent for many years.

The book is very clear. Diagrams are simple. There is a lot of space. The explanations are very clear and the wording is very efficient.

The book is very consistent. The outline of each chapter and topics are very consistent between chapters.

The book is very modular and each chapter is broken up into short manageable sections that are easily accessed by clicking in the table of contents.

The organization, structure and flow are well designed. Objectives are first shown, some introductory text and then some great examples are finally presented. At the end of each section, there are many problems. The odd answers are also at the end of the sections and this allows students to quickly verify answers and not look in other books or all over the book for answers.

Interface rating: 5

Navigation is very easy and the charts and images are simple but powerful.

Grammar is fine.

Cultural Relevance rating: 5

The simple explanations and efficient wording of worded problems appear to have the effect that there should not be any offensive problems for certain races, etc.

I thought the book was one of the better introductory algebra books. The examples and methods are very clear and simple. I think the book is especially useful for ESL users.

Reviewed by Wendy Rawlinson, Mathematics Instructor, Lane Community College on 8/21/16

This book provides very clear and comprehensive coverage of the usual Elementary Algebra topics, as well as some Intermediate Algebra material. The book provides plenty of examples and very robust, well-constructed exercise sets. The author has... read more

This book provides very clear and comprehensive coverage of the usual Elementary Algebra topics, as well as some Intermediate Algebra material. The book provides plenty of examples and very robust, well-constructed exercise sets. The author has gone the extra mile to include special notes, cautions, and even some alternate solutions to examples.

There is no index or glossary, which is a significant problem. While navigating the book to simply review it, I spent a lot of time searching (scrolling) for specific topics. One example of this is, when the AC method is discussed in section 6.3, the text says “…using the AC method described previously.” Finding where it had been “…described previously” wasn’t trivial (especially since I think the logical place to introduce it was IN section 6.3, as opposed to earlier). I expect that the lack of an index could deter students from using the book as a resource, and may inhibit learning the material.

The embedded videos are a very useful feature. Students benefit greatly from easy access to videos that demonstrate and reinforce the material, and care has been taken to choose appropriate videos. However, there were no videos linked for certain topics that I think would specifically call for them (one example: students often struggle mightily with the AC method, but I couldn’t find a linked video demonstrating the technique). If I were using this text for my class, I would likely supplement with additional videos for my students.

Overall, this is a good, comprehensive book for Elementary Algebra.

In reviewing the book, I saw very few content errors. Care has been taken to use proper vocabulary, to show appropriate mathematical processes, and to address common student errors.

The main “accuracy” issues are with notation use and variation depending on the application/browser used.

With algebra content, longevity isn’t as big an issue as with some other disciplines. This book’s content will still be “current” many years from now. If, by chance, groundbreaking algebraic methods or strategies come into fashion, this book could be easily edited to incorporate them.

Examples and exercises are fairly factual and generic. By avoiding "real world" contexts and references, they are somewhat insulated from becoming outdated. The downside to this approach is that problem introductions are a bit dry and potentially hard for students to relate to.

In section 1.5, there are some pie charts based on 2009 data. If those graphics (or others) make the book feel outdated at some point, it could be easily updated with newer data from the cited source.

Clarity rating: 1

The clarity of this book seems in line with most other mainstream elementary algebra books. The very nice use of color and graphics is effective and helps with readability.

Some of the notation and examples may be a bit advanced and confusing for this level of student (for example: the description of factoring by trial and error uses p, q, m, and n, in addition to the expression’s variable, x).

Additionally, while searching for particular videos, I found it difficult to scroll through quickly and find the video links. I would like to see video links offset by a color or special graphic for clarity and ease of use.

Consistency rating: 3

There is a very nice, consistent structure throughout the book. Sections begin with numbered “Learning Objectives”, and end with “Key Takeaways”. Also consistent throughout the text are the “Incorrect vs. Correct” examples, the “Notes”, and the “Try This!” features.

Consistent use of colored boxes for various features makes scanning for important, “key” features easy. For example, blue boxes make finding exercise sets fast and easy.

Depending on how the book is being accessed, there can be significant variation in how notation is used, even from one exercise to the next. I experienced inconsistencies between browsers, and between the pdf versus online version.

One example is exponents. Sometimes they are superscripted, sometimes the “^” is used, and sometimes the exponent simply follows the base – making “3 squared” appear as 32.

Another example is the placement of the radical symbol. Sometimes it was written correctly, and other times the radical symbol was typed after the radicand.

The inconsistency (and inaccuracy) are very problematic, and would certainly need to be addressed before I would feel comfortable using this book.

The consistent structure used within each section would earn a rating of "5" from me. But the other major inconsistencies mentioned lower my ranking.

Chapters and sections are numbered, but then those numbers aren't referenced in the online version's table of contents. And, even though each section begins with a chapter and section number, the pdf version does not provide a table of contents, at all.

The advantages of having each chapter and section numbered would include the ability to explicitly list the content, by number, in a table of contents. I am confused as to why this wasn't done, but suppose it wouldn't be a big job to edit that information in, if desired. The disadvantages of having each section numbered is that it complicates re-ordering content.

The book is somewhat self-referential (example, “… as described earlier …”), but lacks an index. This would make re-ordering or omitting sections a bit more complicated, and would likely necessitate significant editing.

One nice feature is the sub-sections (objectives) of each section. The topics are bite-sized, and are compatible with spreading a section over multiple class meetings and/or re-ordering material to suit a particular course.

The book’s organization is fairly traditional, and it could work really well for a conventional series of algebra courses. There is some material introduced earlier than usual (square roots, for example), but that approach improves the modularity of the material.

Overall, the organization of material makes sense.

Interface rating: 2

This is the area in which the book stumbles, somewhat. Depending on which browser or format I used, the notation and fonts were pretty wildly inconsistent and sometimes totally meaningless.

I was using a Mac, and viewed the book using both Chrome and Safari. I also downloaded the pdf to view on my laptop.

In Chrome, the exercise sets at the end of each section were virtually empty of content. In Safari, I was able to view the problem sets.

In Chrome, many of the mathematical expressions and equations were simply missing from the body of the text. In Safari, they showed up okay.

Neither browser allowed me to view videos by simply clicking on “click to see video”. On Chrome, I had to right-click and view in a separate tab. In Safari, I never was able to figure out how to view the videos.

The font size varied dramatically, even within single problem sets. Further, fraction bars were often missing, making the content unreadable.

If students encounter any or all of these issues, it could certainly be a significant barrier to their learning. There did not seem to be one application through which I could access the full, correct version of the book.

In general, I like this book. But I would need to figure out how to provide students with a reliably correct version of it before using it for a course.

The book's English grammar is good and mostly at an appropriate reading level. The statement of the examples and exercises tends to be a bit dry, but the grammar appears to be correct.

Most of the examples and word problems in this text are very factual and seem to intentionally avoid the common, “real world” set-up, hence avoiding most cultural context and references. However, in the “Applications of Linear Systems” section, the “Topic Exercises” use the following set of Anglo-sounding names: Mary, Sally, Joe, Millicent, Jerry, James, John, Dennis, Billy. I would prefer to see more cultural variety represented in this simple way. Another example: In the “Order of Operations” section, the word problems reference Mary, Joe, Margaret, Bill, Audry, Mark, and Janet. (And, Mark and Janet are traveling home for Thanksgiving.) While I didn't encounter anything that I consider "offensive", I think some opportunities were missed, and this book could have been made to feel more inclusive.

Overall, I like this book.

I would absolutely consider using it in my courses, with some edits and notational corrections.

Reviewed by Kristin Lassonde, Mathematics Faculty, Klamath Community College on 8/21/16

The book covers almost every topic one might use in the course and many topics which are frequently covered in the next course. Small lacking in comprehensiveness might be a treatments of simple absolute value equations or inequalities. Another... read more

The book covers almost every topic one might use in the course and many topics which are frequently covered in the next course. Small lacking in comprehensiveness might be a treatments of simple absolute value equations or inequalities. Another small lacking is the absence of a 'review' chapter or appendix which is typical for this level of a course.

Although almost all of the content is accurate, I scored this category lower (3 of 5) due to numerous 'errors' in the text, which are frequently typesetting errors. However, a typesetting error becomes a math error when it makes the math incorrect. For instance, in section 1.1 the answer to number 16. in the "TOPIC EXERCISES" is the square root of 7. While accurate in Firefox, this answer doesn't display at all using Google Chrome (an issue to be dealt with later in interface) and the typesetting is reversed in the PDF version showing the square root after the 7. This type of error provides in a sense inaccurate information to students and several errors of this type are common throughout the text. If these were resolved, I would raise my rating here to 4 or 5, depending on if any other errors were left at that point.

Relevance/Longevity rating: 1

While the math content will never be obsolete as long as we require this style of algebraic learning in school, the text itself is currently obsolete merely based on the fact that it does not meet accessibility guidelines of the Federal government. As such, the way the laws are currently written, it is my understanding that using the text in a course, even as a resource, is not allowable by the Federal government (unless equitable accessible materials are also provided).

Similarly for accuracy (above), while much all of the content is clear, I scored this category lower (3 of 5) due to numerous typesetting errors which will cause students to not find the content clear. These same type of issues, as described above in the accuracy section, provide unclear information to students and several issues of this type are common throughout the text. Additionally unclear are the lack of accessible content due to the missing alt tags on numerous images throughout the text, which frequently contain all the steps for solving a particular problem type. As such, students using a screen reader will be unable to view any of these steps. If these types of issues were resolved, I would raise my rating here to 4 or 5, depending on other clarity issues that may still exist.

The book is mostly consistent throughout, however, there are some minor inconsistencies such as the use of variables. For instance, in many sections the book will use x, y, a, b all throughout, and then in the homework Greek letters like alpha and beta appear. This is literally a new alphabet and should probably be discussed somewhere in the book (at least the preface or an appendix since this is not a prerequisite for the book).

The text is pretty easy to divide into smaller reading sections, and reorganization should be fairly easy for most teachers, but certain sections will be challenging to reorder due to some implicit self-references.

The topics in the text are mostly presented in a logical and clear fashion. The discussion on absolute value seems disjointed between the first chapter and then 8 and 9, and it seems to overly assume that the student has studied and comprehended everything in 8 prior to studying 9 (which is frequently not the case in basic algebra courses), specifically in reference to taking the square root of both sides of an equation and the result of an absolute value. Additionally, while the subsections are numbered in the text, they are not listed in the table of contents and it is also difficult to determine which section you are in while in the midst of the text.

Interface rating: 1

The text has significant interface issues, including the following. First, the PDF version of the book does not display content correctly. The PDF version of the book needs to be significantly revised or it should be removed from the site so that users can focus on the web-based version, which is more accurate. However, in the web-based version, many problems still exist. For instance, some of the mathematical expressions are coded using MathML, which is not supported on numerous common web browsers including Google Chrome, Internet Explorer, and Microsoft Edge. With this in mind, at minimum the book should specify at least in the preface, which browser is recommended for best compatibility. Further, many items throughout the book are images without an alt tag provided, making them completely unreadable to screen-readers and difficult to navigate for students using mobile devices. Additionally, there are "Video Solution" links provided which include embedded YouTube videos using a Flash-player embedding. Using Flash Player is outdated, and results in videos not playing in mobile browsers or browsers where Flash Player is not installed or blocked, which includes an increasing number of browsers. Modern embedded features should be used, which would include the use of HTML5 videos. Finally, the videos provided are not properly subtitled, again as required by Federal accessibility standards.

Although I have not read every sentence in the book, all of the grammar I saw seems to be correct.

The text is not particularly insensitive to specific races or ethnicities that I am aware of, however, with a lack of emphasis placed on Federal accessibility standards, the text is not sensitive to students from different backgrounds who require implementation of the accessibility guidelines.

This book has a lot of potential and I hope to see improvements in the future! As mentioned by another reviewer, at minimum, this book can be used right now as a reference/problem bank for the instructor.

Reviewed by John Salisbury, Mathematics Instructor, Rogue Community College on 8/21/16

The book covers all usual topics in an elementary algebra text book, commencing with integers and continuing through linear expressions, linear equations and inequalities, systems of linear equations, and other topics. The book concludes with a... read more

The book covers all usual topics in an elementary algebra text book, commencing with integers and continuing through linear expressions, linear equations and inequalities, systems of linear equations, and other topics. The book concludes with a nice treatment of the solution of quadratic equations with the quadratic formula and introduces complex numbers. The treatment of factoring using guess and check and the ac-method, factoring by grouping, and special products is thorough and well presented. Any student who was taught from this book and covered all chapters would have a good grounding in the subject matter.

There is no glossary, index or table of contents, which does detract from an otherwise comprehensive book.

I found no biases in the book. I found one misspelling but the book is well written and edited and substantially error-free. I found the presentation of the material to be objective and clear.

The subject of algebra is timeless, so there should be no short-term problem with relevance or longevity. There a numerous graphs which present current statistics and trends, but it would not be difficult to update these as the years go by. For example, the number of Americans over 65 or a period of recent years is presented. This could be made more current easily. Regular later editions of this book could be published to update the material in the years to come.

The language is simple straightforward and presented clearly. The terms are well defined. The presentation is not highly rigorous. There are almost no proofs or demonstrations of the truth of what is being presented, but this is not a higher level book so that does not really detract from the overall presentation. .

Terms are presented consistently and clearly. A glossary would be helpful to absolutely be able to check how the author defines and views the terms that he uses.

Sections and subsections of the book are presented in bite-sized chunks that would not overwhelm a student who has math anxiety or little previous experience with math. One way in which the book is thorough and distinctive is in the sheer number of problems. A teacher using this book would have numerous options in choosing easy or difficult problems to do. The lack of a table of contents or an index would definitely make looking up specific topics in the book problematic.

There are no problems here. The book builds nicely on beginning concepts and progresses logically.

The lack of the usual apparatus of a textbook (table of contents, glossary, index, etc.) make navigation in the book very difficult. Also, there are equations where the spacing is bad, at least in the pdf format that I read. These could be cleaned up in any final edition.

I found the text to be clear and almost entirely free from grammatical mistakes.

The book is not culturally insensitive or offensive. (Very few algebra books would be, I would think). I did notice that the names used in word problems are a little old fashioned, e.g., Mary, and maybe in a later edition more contemporary names could be introduced.

There were excellent suggestions for historical research that would be a great stimulant to further learning and study by an interested student. It would be helpful if there were more provocative and interesting problems and questions for gifted students to mull over

Reviewed by Berri Hsiao, Faculty, Lane Community College on 8/21/16

This book is the most comprehensive Algebra textbook that I have seen as an OER material. The book covers sections and topics that are appropriate for the math 60-65 sequence at the community college level that I teach. The sequence in which the... read more

This book is the most comprehensive Algebra textbook that I have seen as an OER material. The book covers sections and topics that are appropriate for the math 60-65 sequence at the community college level that I teach. The sequence in which the topics appear is very appropriate for the level of audience. The book almost could be used in math 95 (Intermediate Algebra) as well, except a few more advanced topics such as introduction of basic function notations and logarithms. The exercise sets are large enough for instructors to choose from and for students to gain practice from. I am impressed by the learning objectives as well as the sample review exercises and sample exams at the end of each chapter. It is a thoughtful book that includes many key features that I find useful: key take-aways, discussion board topics, note section, video solutions, and incorrect v.s. correct way of solving a problem side by side. The book itself is very comparable to a traditional textbook that I have seen in its layout and organizations. The only things I do not see are some kind of online homework system for instant feedback that can be used in an online course format and an index (or glossary) at the end of the book. The answers to the even-number problems of the sample tests are also not listed but maybe it’s stored somewhere else for instructors to find that I’m not aware of.

Notations and explanations seem fairly accurate in this book, although I did not do a detailed line-by-line reading to check if there errors to the solutions. The book also includes notations not commonly mentioned in a traditional textbook, for computer programming purposes or on a calculator.

The book seems comparable to other textbooks that I have seen in its relevance and I could see it being useful for a long while. The concepts covered in the book are not going to change so it’s not an issue for a long-term usage. The real-life applications provided in the book are general enough that changes would not be necessary. I believe the nature of the licensing allows easily adaptability for an instructor to include other examples as one sees fit.

The book has good clarity overall and is very readable to students at this level, except in a few places. For example, in section 1.2 (adding and subtracting integers) good explanations are provided for how to add two integers. However, how to subtract two integers are is not presented, yet it is referenced in an addition problem of two integers that involves the second number being negative. This section would be so much clearer to the students and robust if subtracting integers is introduced in the same way as adding, with the visuals of the number line and clear examples provided.

The book has really good consistency throughout sections and chapters. The flow is consistent and clear in each section in terms of how concepts are introduced. The author uses consistent terminology as in most other textbooks. The only problem in consistency that I see is in the exercise sets and answers. For examples, fractions and radical notations are not always displayed using the same format and font sizes appear to be inconsistent as well. But this is more of an 'interface' problem.

he book is fairly useful in its modularity except in a few places where references to materials covered in the previous section(s) are mentioned. For example, in factoring trinomials with leading coefficient being not 1, the AC method is referred as ‘described before’ but it is not listed as to where ‘before’ is. It does not hurt (actually would be more helpful) to have this method listed again in this section as this is where the method is really needed.

This is a strong aspect of the book in my opinion. Every section starts with learning objectives, followed by definitions and appropriate vocabulary, and easy to follow examples and steps are provided before students reach the practice exercises at the end of the section. I particular enjoy the visual layouts, colors, and useful information such as common mistakes listed in a way that is visually clear and pleasing fashion.

This area is the weakest aspect of the book. I read the book in different formats to find that the online format in Chrome is not compatible in many places – various mathematical symbols are simply missing as well as entire exercise sets not showing up. It can create confusion to the students. Using Safari on a Mac works fairly well, but I was not able to view the videos in Chrome or Safari. The only way to view the video for me is to right click in Chrome and choose “open link using a different tab or window”. Viewing the book using the PDF version is not helpful, especially when it comes to mathematical symbols being not readable or lost. The font sizes are not consistent either. This is surprising to me as I was expecting the PDF version to be the best in preserving the formatting for the students. I think providing the URL address to let students know that videos do exist could be helpful in the PDF version.

I did not notice any grammatical error. The language used in the book is clear and appropriate to the level of students.

The book does not have as many culturally inclusive examples as other traditional textbooks. However, I could understand that the level of mathematical concepts are mostly algebraic and perhaps requires a little more work to write examples that include cultural relevance. It certainly would be beneficial to incorporate more culturally diverse examples for our diverse student population.

Overall, it is a well written book and I really like the formats and the flow of the book. I'm hoping to adopt this book for my algebra courses so viewing it from this perspective, I would have to figure out how to make the interface of the book much more friendly and usable to the students. I am happy to see that the quality of this book is quite good and I hope to find useful online tutorial and homework systems that can be incorporated to make this book a more complete one to use in an online format.

Reviewed by Harmony Richman, Mathematics Instructor, Dakota College at Bottineau on 1/7/16

The book covers a wide variety of topics, in detail that I cover in my current Algebra Prep 1, Algebra Prep 2 and Algebra Prep 3 course. Each course is 8 weeks long so could use the text to use over the entire semester and half that is needed. A... read more

The book covers a wide variety of topics, in detail that I cover in my current Algebra Prep 1, Algebra Prep 2 and Algebra Prep 3 course. Each course is 8 weeks long so could use the text to use over the entire semester and half that is needed. A very good comprehensive book to help prepare students in all aspects who need to brush up on their skills before attempting College Algebra. Although there were some areas where topics delved a little more deeply than students may be ready for; however, an instructor could easily pick and choose what they feel their students need.

The book appears accurate throughout the chapters. The book uses color to determine step by step guidance which is extremely important to help my students follow along more easily while working on their own.

The charts/graphs were up to date and could easily be updated as needed. They also appeared relevant in today's society with topics students may have an interest in.

All terminology was used appropriately and accurately among the book. The one area that seemed a little stand-offish is the step by step guides, I feel it's important for students in an Algebra Prep course to understand why we are doing what we are doing, not just a simple memorization of steps. If a student can understand the why they are more apt to retaining vs. remembering a bunch of steps to get there.

Each section started off with the section title, then the "Learning Objectives." The Learning Objectives at some points seem to be a little vocab advanced for the topics covered; however, with instructor guidance can be followed nicely. The Learning Objectives are followed by step by step instructions with examples and "Try this!" problems. At the end of every section there is a Key Takeaway portion which leads into multiple topic exercises and solutions.

Each unit and subsection of each unit is broken down in such a way that as a teacher teaching 3 different 8 week courses, I could pick and choose what I need to cover for each course to meet the objectives easily.

There were some instances where I personally would rearrange some topics simply based on what I know about my students and their needs, but overall the structure is fairly logical.

Maybe it's just the online PDF version, but I'm struggling with the fraction section as many of the problems in the homework sets and within the lesson portion the fractions don't have fraction bars. For example the problem asked to reduce 105300, but there was no fraction bar to indicate what was what fraction. As you continued down the page you see through the work through portion that it should have been 105/300. The only indication that you are working with fractions is the numbers appear in smaller text than the other numbers not represented in fractional form. When we hit the radical section, it appears the radical symbol comes after the number so it is unclear to a student what they may have to do or it's stated as "square root 36" this is also would be confusing to my students especially.

I did not notice any grammatical errors throughout the text.

Although the book did use a variety of occupations, social standing, and students. There was a lot of "a man," "a woman," "a student." I felt that the book slightly lacked a variety of races and ethnicities.

I particularly liked the length of practice questions at the end of each section and the variety of difficulty level, specifically the discussion board topic questions to encourage writing/researching/reading within mathematics.

Reviewed by Mel Taylor, Mathematics Faculty, Ridgewater College, Willmar, Minnesota on 6/10/15

The text covers all areas of Elementary Algebra appropriately and covers some areas of Intermediate Algebra. There is so much material in this text that it could not possibly be covered in one semester. Of course since this text is open source, an... read more

The text covers all areas of Elementary Algebra appropriately and covers some areas of Intermediate Algebra. There is so much material in this text that it could not possibly be covered in one semester. Of course since this text is open source, an instructor could pick and choose what he/she would like to cover and simply not use the rest. For example, exponents, square root and the Pythagorean Theorem all occur in Chapter 1. Rational expressions and radicals appear in Chapters 7 and 8. Solving quadratic equations, graphing parabolas and completing the square occur in the last chapter. There is no index or glossary that I could see. Therefore I had to page through the whole text to see where everything was located. All areas of Elementary Algebra that are normally covered did occur somewhere in the text but a person would need to search for it. The part of the text that I liked the most was the excellent problem bank. There is a wide variety of problems, both rote problems and many application problems. I certainly would use this textbook as a resource for problem bank alone if nothing else.

The book seems accurate in all the material that is presented. The concepts are presented step-by-step in an easy to follow flow. Common mistakes were also shown side by side the correct mathematical steps. There was one case that parenthesis was used where it would have been more appropriate to use the multiplication sign. Other than that, the text seemed pretty error-free and unbiased.

The material seemed up- to- date as far as the application problems. The application problems would be easy to update when needed.

The text was easy to follow as far as understanding. However, I think that some concepts, like square roots and the use of exponents in the first chapter were out of the correct order that they should be. There were many references to use of technology and instructions of how to use that technology. The main problem that I saw was the order in which some of the concepts were introduced and used.

The text was very consistent in it's framework. Each section start.ed out with Learning Objectives, followed by the material. The material contained a variety of examples explained in great detail. At the end of each section came the Key Takeaways, followed by the Topic Exercises. The problem bank for most sections was huge with some excellent application problems. The answers for the problem bank then followed. Each chapter contained a Review along with a Review Problem Bank. Lastly came a Sample Exam along with the solutions to the Sample Exam.

The text could easily by divided and reorganized and I would certainly suggest doing so. I also would suggest dropping some concepts that fit better into an Intermediate Algebra text. There is no way that an instructor could cover all this material in one semester. We need to remember that students taking this course have probably not had success in high school and/or have been out of the classroom for so long that some concepts need to be introduced slowly and not rushed through.

This seems to be a bit of a problem as exponents and square roots normally do not come in the first chapter of an Elementary Algebra textbook to the extent that they were used here. Basic exponent usage and simple square roots are more common in the first chapter. However, an instructor certainly could again pick and choose what they want to use. Otherwise, the logic of other topics seemed to follow the order of other Elementary textbooks.

There is a major problem here with type size in the problem bank. Some problems were easy to read and some problems were in so small a type size that they were hard to make out. Also, when writing fractions the "/" in the fraction of say 1/4 did not come out, all I could see was 1 4. This certainly needs to be fixed as students would not understand at all what the problem was. Also the radical sign came after the number, so it would be 144, square root symbol. Now, this may not show up on everyone's computer like this, but if it was this way on my computer, it would be on someone else's also.

The mathematical terminology was correctly used and did not contain any grammatical errors.

The application problems seemed to be culturally relative and diverse. A variety of names, occupations and locations made the problems seem relevant to a variety of cultures.

I would say that the best part of this text was the use of Learning Objectives, Key Takeaways and the large problem bank. I think the variety of problems in the problem bank were great. The Application problems in particular were well done.

Reviewed by Laurence Stone, Math Instructor, Dakota County Technical College on 6/10/15

Presently (March 2015) the book has neither table of contents nor index. I had to build my own table of contents by hand before I could settle down to review this book. This, of course, makes a score of 5 impossible. Actually, the book is... read more

Presently (March 2015) the book has neither table of contents nor index. I had to build my own table of contents by hand before I could settle down to review this book. This, of course, makes a score of 5 impossible. Actually, the book is riddled with so many typesetting errors it is unusable (by students) in its present form. Hopefully this can be remedied soon, because the book has the potential to serve as an excellent reference text.

All of the usual sections are here: real numbers, solving linear equations and inequalities, factoring polynomials, radicals and rational exponents, quadratic equations and graphs. The treatment is thorough and precise, with plenty of warnings about common mistakes, and large exercise sets with answers to the odds provided.

My only concern (aside from the many typesetting errors) is with graphing. Although straight lines and parabolas are covered thoroughly, I see hardly any examples of other kinds of graphs. Instructors who like to showcase a broader array of patterns (such as exponential growth) early in a student's graphing experience will need to supplement.

Mathematical ideas are everywhere most carefully stated, with only one exception that I found. On page 4 it reads: "When studying mathematics, we focus on special sets of numbers. The set of natural (or counting) numbers is combined with zero." What, always? It goes on to define the whole numbers as the natural numbers combined with zero, which of course is the intent of the paragraph, but due to some typographical error or whatever it doesn't quite begin right.

"At the moment" this material seems timeless.

Ideas are stated precisely, as in any other mainstream math text. This could make it an excellent, authoritative reference.

For most beginning students, however, precision and lucidity are two different things. Consider, for example, this Key Takeaway for section 6.3: "If a trinomial of the form ax^2 + bx + c factors into a product of two binomials, then the coefficient of the middle term will be the sum of certain products of factors of the first and last terms." I realize it's not a super-advanced sentence; nonetheless, most of my elementary algebra students would struggle to understand what is being said.

Then again, most examples and so on are quite clear about "do this, then do this, but don't do this." At the risk of making math seem like a collection of memorized steps, it does clearly show what needs to be done. But the overall narrative behind the examples is not the best fit for my students, so I cannot give a perfect rating for "clarity/lucid and accessible prose."

Excellent overall, in the presentation of facts. No complaints there.

I was, however, hoping for a tighter correspondence between the stated learning objectives and the review questions/questions on the sample exams. Just to pick section 9.5, graphing parabolas: finding the maximum/minimum earns a subtitle in this section, and related questions appear in the review and on the sample exam, but it is not one of the stated objectives. Also: one of the stated objectives is to find the vertex by completing the square, but this specific objective is not measured in the review questions or the sample test. Students are asked to find the vertex, certainly, but are not asked to complete the square.

This book is as "modular" as any other math text I've seen, in the sense that one could skip certain sections towards the ends of the chapters if one felt crunched for time, or even come back to cover them at a later time. But if modularity is considered a strength, I see no reason why this book should score more points than any other.

One non-modular aspect: students will see examples involving functions at the ends of many sections. The instructor could choose to ignore them, of course, but would not have a way to hide them from students' view.

Organization/Structure/Flow rating: 3

I already mentioned it's missing its table of contents. Other structural problems: section 4.1 is presented twice, on page 539 and again on page 560; section 4.3 is presented twice, on page 594 and again on page 611. Chapter 10 is not really a chapter but a short appendix with some area and volume formulas. Chapter 7 is missing its title. Many sections (if not most) begin at the bottom of a page.

The typesetting issues are so numerous that the text is actually unusable in its present form (for students, anyway). Fraction bars are missing, exponents are not superscripted, sometimes the radical symbol follows instead of preceding its contents, etc.

Obviously, these errors are "minor" in the sense that it shouldn't take too many days for someone to clean them up. Hopefully this is in progress even as I write this review.

But my next question would be: where are the embedded video examples promised in the preface? Are these also under construction? The .pdf file I was able to download contains no such links or otherwise. It is impossible to assign a high score when I haven't had the chance to see all that is promised.

Looking at the print version, I do like the ordering of topics well enough. None of the chapters have any motivating introductions, though; adding some would be a nice touch.

The only viewing option I have in March 2015 is to download the .pdf file. I tried reading it on screen, but ended up printing it out (4 pages per sheet, double-sided, some trees were spared) to write this review. As mentioned above, I have not been able to view any embedded videos, as promised in the book's preface.

If this were meant to be a print reference, then I might be able to give a high score once the many typesetting issues are resolved; if it is meant to be more than that, then I haven't had a chance to see what it will be.

It's not the grammar but the typesetting that hurts, as described elsewhere.

I see no issues here.

I went back and reread the preface. It says this book makes no assumption of prior algebra experience, though it certainly assumes a high proficiency in reading. I also saw, in the section on negative exponents, that it assumes a certain familiarity with the dimensional analysis method of converting units.

It also says this is "by far the best elementary algebra textbook offered under the creative commons license." Well, as described above, the typesetting still needs major cleaning up. With that done, however, I do expect this text could serve as an excellent reference… but then there is the question of whether it will have any embedded videos, and how good those will be.

It claims modularity, but I'm not seeing how this book is any more or less modular than any other math text.

It says it stresses the importance of paper/pencil practice, but I'm not sure what this is referring to. I do remember the author saying that learning to factor polynomials takes a lot of practice and patience, but I don't recall any specific exhortations to write out steps by hand.

Obviously this is a work in progress, and I have not seen the final product. Perhaps the author is fishing for some early feedback. Well, I'd say it's a great start, but later reviews will have to trump mine.

Reviewed by D Bobzien, Mathematics Instructor, Central Lakes College on 6/10/15

The textbook covers all of the chosen topics very thoroughly. read more

The textbook covers all of the chosen topics very thoroughly.

The math is correct and what it should be.

This book writes math problems using the traditional notation as well as textual notation, so it can be emailed and communicated electronically without a special keyboard or software. This was the first time I have seen this. This is just one example of how I feel the textbook is current but yet has staying power. I can see it being reused for quite a while.

the book is written so it is easily understood. I felt it was a bit wordy but since it was clear I could deal with that. I also think a few more pictures would enhance the experience.

Even with modular chapters I found the book to be fairly consistent.

Chapters can be skipped and it does not hurt the future lessons.

This textbook presents topics in the same order as all other books I have used. This is the organization I would use.

I had only one issue with the textbook's navigation.

I did not catch any grammar issues--but then grammar is not my forte.

It is hard to be culturally insensitive in math. I saw no problems with this textbook.

I like the Key Takeaways and Tips charts the author used. I will probably adopt this book for my Fall 2015 class. I will add comments or re-review this textbook after that.

Table of Contents

• Chapter 1: Real Numbers and Their Operations
• Chapter 2: Linear Equations and Inequalities
• Chapter 3: Graphing Lines
• Chapter 4: Solving Linear Systems
• Chapter 5: Polynomials and Their Operations
• Chapter 6: Factoring and Solving by Factoring
• Chapter 7: Rational Expressions and Equations
• Chapter 8: Radical Expressions and Equations
• Chapter 9: Solving Quadratic Equations and Graphing Parabolas
• Chapter 10: Appendix: Geometric Figures

Ancillary Material

About the book.

It is essential to lay a solid foundation in mathematics if a student is to be competitive in today's global market. The importance of algebra, in particular, cannot be overstated, as it is the basis of all mathematical modeling used in applications found in all disciplines. Traditionally, the study of algebra is separated into a two parts, elementary algebra and intermediate algebra. This textbook, Elementary Algebra, is the first part, written in a clear and concise manner, making no assumption of prior algebra experience. It carefully guides students from the basics to the more advanced techniques required to be successful in the next course.

This text is, by far, the best elementary algebra textbook offered under a Creative Commons license. It is written in such a way as to maintain maximum flexibility and usability. A modular format was carefully integrated into the design. For example, certain topics, like functions, can be covered or omitted without compromising the overall flow of the text. An introduction of square roots in Chapter 1 is another example that allows for instructors wishing to include the quadratic formula early to do so. Topics such as these are carefully included to enhance the flexibility throughout. This textbook will effectively enable traditional or nontraditional approaches to elementary algebra. This, in addition to robust and diverse exercise sets, provides the base for an excellent individualized textbook instructors can use free of needless edition changes and excessive costs! A few other differences are highlighted below:

• Equivalent mathematical notation using standard text found on a keyboard
• A variety of applications and word problems included in most exercise sets
• Clearly enumerated steps found in context within carefully chosen examples
• Alternative methods and notation, modularly integrated, where appropriate
• Video examples available, in context, within the online version of the textbook
• Robust and diverse exercise sets with discussion board questions
• Key words and key takeaways summarizing each section

This text employs an early-and-often approach to real-world applications, laying the foundation for students to translate problems described in words into mathematical equations. It also clearly lays out the steps required to build the skills needed to solve these equations and interpret the results. With robust and diverse exercise sets, students have the opportunity to solve plenty of practice problems. In addition to embedded video examples and other online learning resources, the importance of practice with pencil and paper is stressed. This text respects the traditional approaches to algebra pedagogy while enhancing it with the technology available today. In addition, textual notation is introduced as a means to communicate solutions electronically throughout the text. While it is important to obtain the skills to solve problems correctly, it is just as important to communicate those solutions with others effectively in the modern era of instant communications.

About the Contributors

John Redden earned his degrees at California State University–Northridge and Glendale Community College. He is now a professor of mathematics at the College of the Sequoias, located in Visalia, California. With over a decade of experience working with students to develop their algebra skills, he knows just where they struggle and how to present complex techniques in more understandable ways. His student-friendly and commonsense approach carries over to his writing of Elementary Algebra and various other open-source learning resources.

Contribute to this Page