Equivalent Fractions

National Council of Teachers of Mathematics

- July 31, 2012

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# Description

Create equivalent fractions by dividing and shading squares or circles, and match each fraction to its location on the number line. Check your work, and use the table feature to capture results and look for patterns. Got a particular value for which you’d like to make equivalent fractions? Use “Build Your Own” mode.

This app was developed by Illuminations, a project of the National Council of Teachers of Mathematics. It is also available as an online activity along with many other free math resources for teachers and students at http://illuminations.nctm.org.

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# Reviews

Helpfulness

Newest

Rating

Helpfulness

All Versions

All Versions

Latest Version

3.0

93 total

5 32

4 13

3 5

2 6

1 37

Aurellia Pratt

Horrible I tried it and it was horrible and hard to use it does not deserve that one star I gave them

saraya allen

Salena Star Amazing I thought being a popstar I would never find a good learning game I was wrong

User reviews

Great! Happy to see a math app for middle school math from NCTM.

Review deleted

# Additional information

Updated

July 31, 2012

Size

8.6M

Installs

10,000 - 50,000

Current Version

1.0.0

Requires Android

2.2 and up

Content Rating

Everyone

Permissions

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National Council of Teachers of Mathematics

Developer

# Similar

## Fractions

Fractions is an original game of reflexion combining mental calculation and speed.

At start, a grid is generated randomly and has squares with each 4 values under differents forms (fractions, percentage, integer, decimal, subtraction, addition).

For exemple, value 0.6 can be represented like that in Fractions :

- 3/5

- 6/10

- 12/20

- 9-8.4

- 7-6.4

- 60%

- …

All of theses forms are an equality in Fractions.

Thus, solve a Fractions grid consists to find all equalities between squares’ values in contact on the grid.

To do that, you should make roll values of squares clockwise by clicking on it.

For players that want more complexity in game, levels 4, 5 and 6 will be a perfect challenge since grid’s squares are shuffled at game start. So, to solve grid you should also make drag and drop with squares !

To solve grid as fast as possible with least possible actions will let you to realize high score between Fractions players around the world.

Fractions has also the following functionalities :

* Share high scores throungh the world

* Configure your player name thanks to Preferences menu available on Fractions home screen

* Consult Fractions high scores around the world with your personal ranking displayed

* Consult stats during grid resolution

* Help for levels 4, 5 and 6 to mark squares well placed by a little orange square and squares well placed with values in good order thanks to little green square at left top of squares.

* An elegant help menu lets you to see how to play to Fractions. Changes between screens are realized thanks to edges that are in bottom of the screen or by flip on screen right to left or left to right respectively to go to previous screen or next screen.

## Math Workout

With MILLIONS of worldwide downloads, we think your brain will ♥ Math Workout.

AS FEATURED IN:

- 'Amazing Android Apps for Dummies' - D. Begun, 2011

- 'Best Android Apps' B. Sawyer, 2010

Keep your mind healthy, test your mental math and exercise your brain once a day.

Math/Maths Workout is a set of daily brain training exercises and math drills designed to enhance mental arithmetic.

FEATURES

► Inspired by Kumon

► Compete in the World Challenge

► Fly the Math Blaster

► Track your progress with charts

► Fun for all ages

► Helps keep you sharp

This version is FREE and is supported by ads. You can remove the ads by upgrading to Math Workout Pro for a nominal one-time charge.

Want to see how fast you can get? Check out http://www.youtube.com/watch?v=b2JSQvKv2S0 - video provided courtesy of a regular player - Hamster!

## Concentration

By yourself or against a friend, match whole numbers, shapes, fractions, or multiplication facts to equivalent representations. Practice with the clear panes or step up the challenge with the windows closed. How many socks can you win?

This app was developed for children in grades preK–5 by Illuminations. It is also available as an online activity along with many other free math resources for children at http://illuminations.nctm.org.

## Fraction Voyager

This puzzle based game is designed to introduce youngsters to fractions, decimals and percentages in an intuitive way. Designed, produced and tested by kids, it provides an easy introduction to what is sometimes a tricky area of mathematics. Fraction Voyager has six unique chapters, before letting the user loose to explore an infinite number of randomly generated levels.

## Algebra Tutor

Practice and learn Prealgebra and Algebra topics!

Walk through step-by-step solutions to see where you made your mistake.

See your stats for every problem type (saved across app runs).

Work out problems without needing to take notes.

Get math help wherever you are.

35 practice concepts

- Find the Greatest Common Denominator

- Fraction Addition

- Fraction Division

- Fraction Multiplication

- Fraction Subtraction

- Reduce Fraction to Lowest Terms

- Distributed Linear

- One Step Linear Equations Using Integers

- Two Step Linear Equations Using Integers

- Multiplying Monomials by Polynomials

- Naming Polynomials by Degree

- Naming Polynomials by Degree and Terms

- Naming Polynomials by Number of Terms

- Single Degree Simplifiable Polynomial

- Factorable Quadratic in Factored Form

- Factorable Quadratic in Standard Form

- Convert from Decimal to Scientific Notaiton

- Convert from Scientific Notation to Decimal

- English to Variable Expression

- Evaluating Single Variable Linear Expressions

- Finding Prime Numbers

- Prime or Composite?

- Classifying Rational Numbers

- Convert Expanded Form To Exponent

- Convert Exponent to Expanded Form

- Convert Exponent to Words

- Exponentiating Exponents

- Write Base and Exponent

- Expressing Fraction in Higher Terms

- Find Value to Make Fractions Equivalent

- Finding the Least Common Multiple

- Find the Reciprocal

- Identifying Numerator and Denominator

- Order of Operations with Integers

- Order of Operations with Whole Numbers

Walk through step-by-step solutions to see where you made your mistake.

See your stats for every problem type (saved across app runs).

Work out problems without needing to take notes.

Get math help wherever you are.

35 practice concepts

- Find the Greatest Common Denominator

- Fraction Addition

- Fraction Division

- Fraction Multiplication

- Fraction Subtraction

- Reduce Fraction to Lowest Terms

- Distributed Linear

- One Step Linear Equations Using Integers

- Two Step Linear Equations Using Integers

- Multiplying Monomials by Polynomials

- Naming Polynomials by Degree

- Naming Polynomials by Degree and Terms

- Naming Polynomials by Number of Terms

- Single Degree Simplifiable Polynomial

- Factorable Quadratic in Factored Form

- Factorable Quadratic in Standard Form

- Convert from Decimal to Scientific Notaiton

- Convert from Scientific Notation to Decimal

- English to Variable Expression

- Evaluating Single Variable Linear Expressions

- Finding Prime Numbers

- Prime or Composite?

- Classifying Rational Numbers

- Convert Expanded Form To Exponent

- Convert Exponent to Expanded Form

- Convert Exponent to Words

- Exponentiating Exponents

- Write Base and Exponent

- Expressing Fraction in Higher Terms

- Find Value to Make Fractions Equivalent

- Finding the Least Common Multiple

- Find the Reciprocal

- Identifying Numerator and Denominator

- Order of Operations with Integers

- Order of Operations with Whole Numbers

## Right Brain × Left Brain

"Let's promote collaboration between your right brain and left brain!"

What is the secret of cleverness?

Is it that the right brain which manages intuition is developed?

Or is it that the left brain which manages logic is developed?

In fact, the secret of cleverness is not that one brain is developed, but that both brains can cooperate smoothly.

It is said that that Dr. Einstein had the remarkable cooperation between the right brain and left brain.

"Right Brain x Left Brain" is a game which enhances cooperation between your right brain and left brain.

【Game Introduction】

(1)Color × Character

This is a game which enhances cooperation between the "color cognition" which is a domain of the right brain and the "character cognition" which is the domains of the left brain.

Can you choose correctly, without mixing up the contents and the color of a character?

(2)Figure × Calculation

This is a game which enhances cooperation between the "pattern cognition" which is a domain of the right brain and the "calculating ability" which is the domains of the left brain.

Unlike the usual numerical calculation, the number is replaced with the figure.

If it is a number, you are an easy numerical calculation, but can you solve?

(3)Number × Numeral

This is a game which enhances cooperation between the "number cognition" which is a domain of the right brain and the "numeral cognition" which is the domains of the left brain.

Can you recognize the number of a numeral and numeral quickly, and touch it?

# More from developer

## Concentration

By yourself or against a friend, match whole numbers, shapes, fractions, or multiplication facts to equivalent representations. Practice with the clear panes or step up the challenge with the windows closed. How many socks can you win?

This app was developed for children in grades preK–5 by Illuminations. It is also available as an online activity along with many other free math resources for children at http://illuminations.nctm.org.

## Deep Sea Duel

Okta challenges you to a duel! Collect cards with a specified sum, and you win! But you better do it before Okta does! Choose how many cards (9 or 16), what types of numbers (whole numbers or decimals), and Okta’s level of strategy (easy to hard).

This app was developed for students of all ages by Illuminations. It is also available as an online activity along with many other free math resources for children at http://illuminations.nctm.org.

## Okta's Rescue

Oh, no! Okta and his friends need help. Help rescue them by transporting them to a safe ocean. How fast can you transport the Oktas? Use your counting skills to save as many as you can before the timer runs out.

This app was developed for children in grades preK–2 by Illuminations. It is also available as an online activity along with many other free math resources for children at http://illuminations.nctm.org.

## What Comes Next? Patterns

What Comes Next? Making Patterns with the MOTO Family is one book in NCTM’s Math of Tomorrow (MOTO) Response to Intervention series of interactive digital books that are designed to engage students in a dynamic learning experience.

• Chapter 1: Repeat My Pattern

• Chapter 2: Watch My Patterns Grow

• Chapter 3: Making Patterns with Numbers

Each chapter in What Comes Next? is aligned with the Common Core State Standards for Mathematics. The content was developed to help students explore different kinds of patterns, including repeating and growing patterns. The technological innovation for What Comes Next? Making Patterns with the MOTO Family far exceeds any digital publication on the market and includes:

• instructional animated video segments featuring the MOTO family -- four engaging characters that portray computational math symbols,

• dozens of interactive learning opportunities,

• digital manipulatives and games,

• a specifically developed writing/drawing tool to allow students to complete interactive tasks and show their progress without leaving the iPad environment,

• Teacher Notes on every page that guide teachers on how to get the most of each page and task,

• technology that allows students to practice key skills, put answers directly on the page, and get instant teacher feedback, and

• the capability for multiple students, each with an individual password, to share the same iPad.

Authors:

Barbara Dougherty, Ph.D., is the Richard G. Miller Endowed Chair for Mathematics Education and a Professor in Mathematics Education at the University of Missouri-Columbia.

Lynn Columba, Ph.D., an associate professor in Lehigh University’s College of Education, teaches future mathematics educators to embrace an interdisciplinary approach in the mathematics classroom.

Amy Lingo, Ed.D., is an Associate Professor and Assistant Chair of the Department of Special Education at the University of Louisville in Kentucky.

• Chapter 1: Repeat My Pattern

• Chapter 2: Watch My Patterns Grow

• Chapter 3: Making Patterns with Numbers

Each chapter in What Comes Next? is aligned with the Common Core State Standards for Mathematics. The content was developed to help students explore different kinds of patterns, including repeating and growing patterns. The technological innovation for What Comes Next? Making Patterns with the MOTO Family far exceeds any digital publication on the market and includes:

• instructional animated video segments featuring the MOTO family -- four engaging characters that portray computational math symbols,

• dozens of interactive learning opportunities,

• digital manipulatives and games,

• a specifically developed writing/drawing tool to allow students to complete interactive tasks and show their progress without leaving the iPad environment,

• Teacher Notes on every page that guide teachers on how to get the most of each page and task,

• technology that allows students to practice key skills, put answers directly on the page, and get instant teacher feedback, and

• the capability for multiple students, each with an individual password, to share the same iPad.

Authors:

Barbara Dougherty, Ph.D., is the Richard G. Miller Endowed Chair for Mathematics Education and a Professor in Mathematics Education at the University of Missouri-Columbia.

Lynn Columba, Ph.D., an associate professor in Lehigh University’s College of Education, teaches future mathematics educators to embrace an interdisciplinary approach in the mathematics classroom.

Amy Lingo, Ed.D., is an Associate Professor and Assistant Chair of the Department of Special Education at the University of Louisville in Kentucky.

## Shapes and Sizes: Geometry

Shapes and Sizes: Learning Geometry with the MOTO Family is one book in NCTM’s Math of Tomorrow (MOTO) Response to Intervention series of interactive digital books that are designed to engage students in a dynamic learning experience.

• Chapter 1: Finding Shapes

• Chapter 2: Making Shapes

• Chapter 3: Composing Shapes

Each chapter in Shapes and Sizes is aligned with the Common Core State Standards for Mathematics. The content was developed to help students in grades Kindergarten through Grade 2 explore shapes in different orientations and identify characteristics of classes of shapes they find in their own environment. The technological innovation for Shapes and Sizes: Learning Geometry with the MOTO Family far exceeds any digital publication on the market and includes:

• instructional animated video segments featuring the MOTO family -- four engaging characters that portray computational math symbols,

• dozens of interactive learning opportunities,

• digital manipulatives and games,

• a specifically developed writing/drawing tool to allow students to complete interactive tasks and show their progress without leaving the iPad environment,

• Teacher Notes on every page that guide teachers on how to get the most of each page and task,

• technology that allows students to practice key skills, put answers directly on the page, and get instant teacher feedback, and

• the capability for multiple students, each with an individual password, to share the same iPad.

Authors:

Barbara Dougherty, Ph.D., is the Richard G. Miller Endowed Chair for Mathematics Education and a Professor in Mathematics Education at the University of Missouri-Columbia.

Lynn Columba, Ph.D., an associate professor in Lehigh University’s College of Education, teaches future mathematics educators to embrace an interdisciplinary approach in the mathematics classroom.

Amy Lingo, Ed.D., is an Associate Professor and Assistant Chair of the Department of Special Education at the University of Louisville in Kentucky.

• Chapter 1: Finding Shapes

• Chapter 2: Making Shapes

• Chapter 3: Composing Shapes

Each chapter in Shapes and Sizes is aligned with the Common Core State Standards for Mathematics. The content was developed to help students in grades Kindergarten through Grade 2 explore shapes in different orientations and identify characteristics of classes of shapes they find in their own environment. The technological innovation for Shapes and Sizes: Learning Geometry with the MOTO Family far exceeds any digital publication on the market and includes:

• instructional animated video segments featuring the MOTO family -- four engaging characters that portray computational math symbols,

• dozens of interactive learning opportunities,

• digital manipulatives and games,

• a specifically developed writing/drawing tool to allow students to complete interactive tasks and show their progress without leaving the iPad environment,

• Teacher Notes on every page that guide teachers on how to get the most of each page and task,

• technology that allows students to practice key skills, put answers directly on the page, and get instant teacher feedback, and

• the capability for multiple students, each with an individual password, to share the same iPad.

Authors:

Barbara Dougherty, Ph.D., is the Richard G. Miller Endowed Chair for Mathematics Education and a Professor in Mathematics Education at the University of Missouri-Columbia.

Lynn Columba, Ph.D., an associate professor in Lehigh University’s College of Education, teaches future mathematics educators to embrace an interdisciplinary approach in the mathematics classroom.

Amy Lingo, Ed.D., is an Associate Professor and Assistant Chair of the Department of Special Education at the University of Louisville in Kentucky.

## One Foot, Two Feet: Measuring

One Foot, Two Feet: Learning Measurement with the MOTO Family is one book in NCTM’s Math of Tomorrow (MOTO) Response to Intervention series of interactive digital books that are designed to engage students in a dynamic learning experience.

• Chapter 1: Comparing Length and Weight

• Chapter 2: Ordering and Measuring Length

• Chapter 3: Measuring with Different Units

Each chapter in One Foot, Two Feet is aligned with the Common Core State Standards for Mathematics. The content was developed to help students explore measurement concepts and skills with a primary focus on length. The technological innovation for One Foot, Two Feet: Learning Measurement with the MOTO Family far exceeds any digital publication on the market and includes:

• instructional animated video segments featuring the MOTO family -- four engaging characters that portray computational math symbols,

• dozens of interactive learning opportunities,

• digital manipulatives and games,

• a specifically developed writing/drawing tool to allow students to complete interactive tasks and show their progress without leaving the iPad environment,

• Teacher Notes on every page that guide teachers on how to get the most of each page and task,

• technology that allows students to practice key skills, put answers directly on the page, and get instant teacher feedback, and

• the capability for multiple students, each with an individual password, to share the same iPad.

Authors:

Barbara Dougherty, Ph.D., is the Richard G. Miller Endowed Chair for Mathematics Education and a Professor in Mathematics Education at the University of Missouri-Columbia.

Lynn Columba, Ph.D., an associate professor in Lehigh University’s College of Education, teaches future mathematics educators to embrace an interdisciplinary approach in the mathematics classroom.

Amy Lingo, Ed.D., is an Associate Professor and Assistant Chair of the Department of Special Education at the University of Louisville in Kentucky.

• Chapter 1: Comparing Length and Weight

• Chapter 2: Ordering and Measuring Length

• Chapter 3: Measuring with Different Units

Each chapter in One Foot, Two Feet is aligned with the Common Core State Standards for Mathematics. The content was developed to help students explore measurement concepts and skills with a primary focus on length. The technological innovation for One Foot, Two Feet: Learning Measurement with the MOTO Family far exceeds any digital publication on the market and includes:

• instructional animated video segments featuring the MOTO family -- four engaging characters that portray computational math symbols,

• dozens of interactive learning opportunities,

• digital manipulatives and games,

• a specifically developed writing/drawing tool to allow students to complete interactive tasks and show their progress without leaving the iPad environment,

• Teacher Notes on every page that guide teachers on how to get the most of each page and task,

• technology that allows students to practice key skills, put answers directly on the page, and get instant teacher feedback, and

• the capability for multiple students, each with an individual password, to share the same iPad.

Authors:

Barbara Dougherty, Ph.D., is the Richard G. Miller Endowed Chair for Mathematics Education and a Professor in Mathematics Education at the University of Missouri-Columbia.

Lynn Columba, Ph.D., an associate professor in Lehigh University’s College of Education, teaches future mathematics educators to embrace an interdisciplinary approach in the mathematics classroom.

Amy Lingo, Ed.D., is an Associate Professor and Assistant Chair of the Department of Special Education at the University of Louisville in Kentucky.

## It All Adds Up: Addition

It All Adds Up: Learning to Add and Subtract with the MOTO Family is one book in NCTM’s Math of Tomorrow (MOTO) Response to Intervention series of interactive digital books that are designed to engage students in a dynamic learning experience. Each chapter in It All Adds Up:

• Chapter 1: To Ten and Back

• Chapter 2: Doubling to Add

• Chapter 3: Adding and Subtracting

Each chapter in It All Adds Up is aligned with the Common Core State Standards for Mathematics. The content was developed to help children explore addition and subtraction, and learn strategies that involve using double. The technological innovation for It All Adds Up: Learning to Add and Subtract with the MOTO Family far exceeds any digital publication on the market and includes:

• instructional animated video segments featuring the MOTO family -- four engaging characters that portray computational math symbols,

• dozens of interactive learning opportunities,

• digital manipulatives and games,

• a specifically developed writing/drawing tool to allow students to complete interactive tasks and show their progress without leaving the iPad environment,

• Teacher Notes on every page that guide teachers on how to get the most of each page and task,

• technology that allows students to practice key skills, put answers directly on the page, and get instant teacher feedback, and

• the capability for multiple students, each with an individual password, to share the same iPad.

Authors:

Barbara Dougherty, Ph.D., is the Richard G. Miller Endowed Chair for Mathematics Education and a Professor in Mathematics Education at the University of Missouri-Columbia.

Lynn Columba, Ph.D., an associate professor in Lehigh University’s College of Education, teaches future mathematics educators to embrace an interdisciplinary approach in the mathematics classroom.

Amy Lingo, Ed.D., is an Associate Professor and Assistant Chair of the Department of Special Education at the University of Louisville in Kentucky.

• Chapter 1: To Ten and Back

• Chapter 2: Doubling to Add

• Chapter 3: Adding and Subtracting

Each chapter in It All Adds Up is aligned with the Common Core State Standards for Mathematics. The content was developed to help children explore addition and subtraction, and learn strategies that involve using double. The technological innovation for It All Adds Up: Learning to Add and Subtract with the MOTO Family far exceeds any digital publication on the market and includes:

• instructional animated video segments featuring the MOTO family -- four engaging characters that portray computational math symbols,

• dozens of interactive learning opportunities,

• digital manipulatives and games,

• a specifically developed writing/drawing tool to allow students to complete interactive tasks and show their progress without leaving the iPad environment,

• Teacher Notes on every page that guide teachers on how to get the most of each page and task,

• technology that allows students to practice key skills, put answers directly on the page, and get instant teacher feedback, and

• the capability for multiple students, each with an individual password, to share the same iPad.

Authors:

Barbara Dougherty, Ph.D., is the Richard G. Miller Endowed Chair for Mathematics Education and a Professor in Mathematics Education at the University of Missouri-Columbia.

Lynn Columba, Ph.D., an associate professor in Lehigh University’s College of Education, teaches future mathematics educators to embrace an interdisciplinary approach in the mathematics classroom.

Amy Lingo, Ed.D., is an Associate Professor and Assistant Chair of the Department of Special Education at the University of Louisville in Kentucky.

## Everybody Counts: Numbers

Everybody Counts: Learning Numbers with the MOTO Family is one book in NCTM’s Math of Tomorrow (MOTO) Response to Intervention series of interactive digital books that are designed to engage students in a dynamic learning experience.

• Chapter 1: Learning Numbers

• Chapter 2: Building and Breaking Apart Numbers

• Chapter 3: Comparing Numbers

Each chapter in Everybody Counts is aligned with the Common Core State Standards for Mathematics. The content was developed to help students to explore quantities, learn numbers symbols, compare numbers, and skip count . The technological innovation for Everybody Counts: Learning Numbers with the MOTO Family far exceeds any digital publication on the market and includes:

• instructional animated video segments featuring the MOTO family -- four engaging characters that portray computational math symbols,

• dozens of interactive learning opportunities,

• digital manipulatives and games,

• a specifically developed writing/drawing tool to allow students to complete interactive tasks and show their progress without leaving the iPad environment,

• Teacher Notes on every page that guide teachers on how to get the most of each page and task,

• technology that allows students to practice key skills, put answers directly on the page, and get instant teacher feedback, and

• the capability for multiple students, each with an individual password, to share the same iPad.

Authors:

Barbara Dougherty, Ph.D., is the Richard G. Miller Endowed Chair for Mathematics Education and a Professor in Mathematics Education at the University of Missouri-Columbia.

Lynn Columba, Ph.D., an associate professor in Lehigh University’s College of Education, teaches future mathematics educators to embrace an interdisciplinary approach in the mathematics classroom.

Amy Lingo, Ed.D., is an Associate Professor and Assistant Chair of the Department of Special Education at the University of Louisville in Kentucky.

• Chapter 1: Learning Numbers

• Chapter 2: Building and Breaking Apart Numbers

• Chapter 3: Comparing Numbers

Each chapter in Everybody Counts is aligned with the Common Core State Standards for Mathematics. The content was developed to help students to explore quantities, learn numbers symbols, compare numbers, and skip count . The technological innovation for Everybody Counts: Learning Numbers with the MOTO Family far exceeds any digital publication on the market and includes:

• instructional animated video segments featuring the MOTO family -- four engaging characters that portray computational math symbols,

• dozens of interactive learning opportunities,

• digital manipulatives and games,

• a specifically developed writing/drawing tool to allow students to complete interactive tasks and show their progress without leaving the iPad environment,

• Teacher Notes on every page that guide teachers on how to get the most of each page and task,

• technology that allows students to practice key skills, put answers directly on the page, and get instant teacher feedback, and

• the capability for multiple students, each with an individual password, to share the same iPad.

Authors:

Barbara Dougherty, Ph.D., is the Richard G. Miller Endowed Chair for Mathematics Education and a Professor in Mathematics Education at the University of Missouri-Columbia.

Lynn Columba, Ph.D., an associate professor in Lehigh University’s College of Education, teaches future mathematics educators to embrace an interdisciplinary approach in the mathematics classroom.

Amy Lingo, Ed.D., is an Associate Professor and Assistant Chair of the Department of Special Education at the University of Louisville in Kentucky.

## Clock Wise: Learning Time

Clock Wise: Learning Time with the MOTO Family is one book in NCTM’s Math of Tomorrow (MOTO) Response to Intervention series of interactive digital books that are designed to engage students in a dynamic learning experience.

Chapter 1: Putting Things in Order

Chapter 2: Telling Time with Hours and Half Hours

Chapter 3: Telling Time with Five Minutes

Each chapter in Clock Wise is aligned with the Common Core State Standards for Mathematics. The content was developed to help students in grades Kindergarten through Grade 2 explore time factors related to clocks and calendars. The technological innovation for Clock Wise: Learning Time with the MOTO Family far exceeds any digital publication on the market and includes:

• instructional animated video segments featuring the MOTO family -- four engaging characters that portray computational math symbols,

• dozens of interactive learning opportunities,

• digital manipulatives and games,

• a specifically developed writing/drawing tool to allow students to complete interactive tasks and show their progress without leaving the iPad environment,

• Teacher Notes on every page that guide teachers on how to get the most of each page and task,

• technology that allows students to practice key skills, put answers directly on the page, and get instant teacher feedback, and

• the capability for multiple students, each with an individual password, to share the same iPad.

Authors:

Barbara Dougherty, Ph.D., is the Richard G. Miller Endowed Chair for Mathematics Education and a Professor in Mathematics Education at the University of Missouri-Columbia.

Lynn Columba, Ph.D., an associate professor in Lehigh University’s College of Education, teaches future mathematics educators to embrace an interdisciplinary approach in the mathematics classroom.

Amy Lingo, Ed.D., is an Associate Professor and Assistant Chair of the Department of Special Education at the University of Louisville in Kentucky.

## Bits and Pieces: Sorting Data

Bits and Pieces: Sorting and Representing Data with the MOTO Family is one book in NCTM’s Math of Tomorrow (MOTO) Response to Intervention series of interactive digital books that are designed to engage students in a dynamic learning experience.

• Chapter 1: Sorting and Classifying

• Chapter 2: Classifying and Graphing

• Chapter 3: Taking a Survey

Each chapter in Bits and Pieces is aligned with the Common Core State Standards for Mathematics. The content was developed to help students focus on ways to sort objects as a first step in dealing with data. The technological innovation for Bits and Pieces: Sorting and Representing Data with the MOTO Family far exceeds any digital publication on the market and includes:

• instructional animated video segments featuring the MOTO family -- four engaging characters that portray computational math symbols,

• dozens of interactive learning opportunities,

• digital manipulatives and games,

• a specifically developed writing/drawing tool to allow students to complete interactive tasks and show their progress without leaving the iPad environment,

• Teacher Notes on every page that guide teachers on how to get the most of each page and task,

• technology that allows students to practice key skills, put answers directly on the page, and get instant teacher feedback, and

• the capability for multiple students, each with an individual password, to share the same iPad.

Authors:

Barbara Dougherty, Ph.D., is the Richard G. Miller Endowed Chair for Mathematics Education and a Professor in Mathematics Education at the University of Missouri-Columbia.

Lynn Columba, Ph.D., an associate professor in Lehigh University’s College of Education, teaches future mathematics educators to embrace an interdisciplinary approach in the mathematics classroom.

Amy Lingo, Ed.D., is an Associate Professor and Assistant Chair of the Department of Special Education at the University of Louisville in Kentucky.

• Chapter 1: Sorting and Classifying

• Chapter 2: Classifying and Graphing

• Chapter 3: Taking a Survey

Each chapter in Bits and Pieces is aligned with the Common Core State Standards for Mathematics. The content was developed to help students focus on ways to sort objects as a first step in dealing with data. The technological innovation for Bits and Pieces: Sorting and Representing Data with the MOTO Family far exceeds any digital publication on the market and includes:

• instructional animated video segments featuring the MOTO family -- four engaging characters that portray computational math symbols,

• dozens of interactive learning opportunities,

• digital manipulatives and games,

• a specifically developed writing/drawing tool to allow students to complete interactive tasks and show their progress without leaving the iPad environment,

• Teacher Notes on every page that guide teachers on how to get the most of each page and task,

• technology that allows students to practice key skills, put answers directly on the page, and get instant teacher feedback, and

• the capability for multiple students, each with an individual password, to share the same iPad.

Authors:

Barbara Dougherty, Ph.D., is the Richard G. Miller Endowed Chair for Mathematics Education and a Professor in Mathematics Education at the University of Missouri-Columbia.

Lynn Columba, Ph.D., an associate professor in Lehigh University’s College of Education, teaches future mathematics educators to embrace an interdisciplinary approach in the mathematics classroom.

Amy Lingo, Ed.D., is an Associate Professor and Assistant Chair of the Department of Special Education at the University of Louisville in Kentucky.