FREE Teacher Tools for Interactive Whiteboards Develop Students’ Mathematical Thinking

Over thirty lessons. Infinite possibilities.

Ready for use in elementary classrooms with any type of interactive whiteboard, these high-quality virtual manipulative tools help teachers connect students with great ways to make sense of math. Use these tools to create an environment for students to explain, discuss, and defend their mathematical thinking.

• Select Grade and Topic
  • Kindergarten Number Sense and Equivalence
  • Kindergarten Addition and Subtraction
  • First Grade Number Sense and Equivalence
  • First Grade Addition and Subtraction
  • Second Grade Number Sense and Equivalence
  • Second Grade Addition and Subtraction
  • Third Grade Number Sense and Equivalence
  • Third Grade Addition and Subtraction
  • Fourth Grade Number Sense and Equivalence
  • Fourth Grade Multiplication and Division
  • Fourth Grade Addition and Subtraction
  • Fifth Grade Multiplication and Division
  • Fifth Grade Addition and Subtraction
  • Sixth Grade Ratio and Proportional Relationships
  • Sixth Grade Number Sense and Equivalence
  • Seventh Grade Geometry
  • Seventh Grade Addition and Subtraction

Kindergarten Number Sense and Equivalence

Numbers to Ten on the TenFrame

Using a two by five array, the TenFrame supports the use of five as an anchor for early number sense.

Go More info

Numbers to Ten on the TenFrame

The Quick Images™ manipulative is a great way to engage students in communicating their mathematical thinking while offering opportunities for students to subitize and conceptualize numbers. The TenFrame uses a two by five array on which counters are placed from left to right across the top, and then left to right across the bottom. This manipulative offers visual support for seeing the quantities of five and ten as wholes. The Tenframe also supports the use of fives and tens as anchors for early number sense.

Numbers to Ten on the Mathrack

Using one, two, or ten wires, the MathRack supports the use of fives, tens, and doubles as anchors for supporting automaticity of

Go More info

Numbers to Ten on the Mathrack

The Quick Images™ manipulative is a great way to engage students in communicating their mathematical thinking while offering opportunities for students to subitize and conceptualize numbers. The Tenframe uses a two by five array on which counters are placed from left to right across the top, and then left to right across the bottom. This manipulative offers visual support for seeing the quantities of five and ten as wholes. The Tenframe also supports the use of fives and tens as anchors for early number sense.

Numbers to Twenty on the TenFrame

Using multiple two by five arrays, the TenFrame supports the use of fives and tens as anchors for early number sense.

Go More info

Numbers to Twenty on the TenFrame

The Quick Images™ manipulative is a great way to engage students in communicating their mathematical thinking while offering opportunities for students to subitize and conceptualize numbers. The Tenframe uses a two by five array on which counters are placed from left to right across the top, and then left to right across the bottom. This manipulative offers visual support for seeing the quantities of five and ten as wholes. The Tenframe also supports the use of fives and tens as anchors for early number sense.

Numbers to Twenty on the MathRack

Using a two-wire MathRack, students recognize and apply patterns of five and ten to develop early counting.

Go More info

Numbers to Twenty on the MathRack

The Quick Images™ manipulative is a great way to engage students in communicating their mathematical thinking while offering opportunities for students to subitize and conceptualize numbers. The Mathrack offers visual support for seeing the quantities of five and ten as wholes, and supports this visual as students build automaticity of basic math facts.

Kindergarten Addition and Subtraction

Matching Number Pairs for Eight

Students practice computation strategies and identify number patterns and relationships to make eight in a variety of ways.

Go More info

Matching Number Pairs for Eight

Matching Number Pairs activities provide opportunities for students to practice computation strategies and identify number patterns and relationships. The ideas here can be used as stand-alone activities or as a supplement to an existing math curriculum, or can be incorporated into a professional development program for teachers. Matching Number Pairs provides pairs of numbers that add up to a landmark number. The numbers can be restricted (for example, by only using a landmark of ten or multiples of ten) to focus on specific strategies and scaffold student learning.

Matching Number Pairs for Nine

Students practice computation strategies and identify number patterns and relationships to make nine in a variety of ways.

Go More info

Matching Number Pairs for Nine

Matching Number Pairs activities provide opportunities for students to practice computation strategies and identify number patterns and relationships. The ideas here can be used as stand-alone activities or as a supplement to an existing math curriculum, or can be incorporated into a professional development program for teachers. Matching Number Pairs provides pairs of numbers that add up to a landmark number. The numbers can be restricted (for example, by only using a landmark of ten or multiples of ten) to focus on specific strategies and scaffold student learning.

Matching Number Pairs for Ten

Students practice computation strategies and identify number patterns and relationships to make ten in a variety of ways.

Go More info

Matching Number Pairs for Ten

Matching Number Pairs activities provide opportunities for students to practice computation strategies and identify number patterns and relationships. The ideas here can be used as stand-alone activities or as a supplement to an existing math curriculum, or can be incorporated into a professional development program for teachers. Matching Number Pairs provides pairs of numbers that add up to a landmark number. The numbers can be restricted (for example, by only using a landmark of ten or multiples of ten) to focus on specific strategies and scaffold student learning.

First Grade Number Sense and Equivalence

Numbers to Forty on the TenFrame

Using multiple two by five arrays, the TenFrame supports the use of fives and tens as anchors for early number sense.

Go More info

Numbers to Forty on the TenFrame

The Quick Images™ manipulative is a great way to engage students in communicating their mathematical thinking while offering opportunities for students to subitize and conceptualize numbers. The Tenframe uses multipletwo by five arrays on which counters are placed from left to right across the top, and then left to right across the bottom. This manipulative offers visual support for seeing the quantities of five and ten as wholes. The Tenframe also supports the use of fives and tens as anchors for early number sense.

Numbers to One Hundred on the Mathrack

Using a ten-wire Mathrack, students recognize and apply patterns of five, ten, and fifty to develop early counting.

Go More info

Numbers to One Hundred on the Mathrack

The Quick Images™ manipulative is a great way to engage students in communicating their mathematical thinking while offering opportunities for students to subitize and conceptualize numbers. The Mathrack offers visual support for seeing the quantities of five and ten as wholes, and supports this visual as students build automaticity of basic math facts.

First Grade Addition and Subtraction

Matching Number Pairs for Twenty

Students practice computation strategies and identify number patterns and relationships to make twenty in a variety of ways.

Go More info

Matching Number Pairs for Twenty

Matching Number Pairs activities provide opportunities for students to practice computation strategies and identify number patterns and relationships. The ideas here can be used as stand-alone activities or as a supplement to an existing math curriculum, or can be incorporated into a professional development program for teachers. Matching Number Pairs provides pairs of numbers that add up to a landmark number. The numbers can be restricted (for example, by only using a landmark of ten or multiples of ten) to focus on specific strategies and scaffold student learning.

Matching Number Pairs for Fifty

Students practice computation strategies and identify number patterns and relationships to make fifty in a variety of ways.

Go More info

Matching Number Pairs for Fifty

Matching Number Pairs activities provide opportunities for students to practice computation strategies and identify number patterns and relationships. The ideas here can be used as stand-alone activities or as a supplement to an existing math curriculum, or can be incorporated into a professional development program for teachers. Matching Number Pairs provides pairs of numbers that add up to a landmark number. The numbers can be restricted (for example, by only using a landmark of ten or multiples of ten) to focus on specific strategies and scaffold student learning.

Matching Number Pairs for One Hundred

Students practice computation strategies and identify number patterns and relationships to make one hundred in a variety of ways.

Go More info

Matching Number Pairs for One Hundred

: Matching Number Pairs activities provide opportunities for students to practice computation strategies and identify number patterns and relationships. The ideas here can be used as stand-alone activities or as a supplement to an existing math curriculum, or can be incorporated into a professional development program for teachers. Matching Number Pairs provides pairs of numbers that add up to a landmark number. The numbers can be restricted (for example, by only using a landmark of ten or multiples of ten) to focus on specific strategies and scaffold student learning.

Second Grade Number Sense and Equivalence

Build Expressions Equal to Twenty

Using expressions that have one to three addends, this tool engages students in understanding various number pairs that equal up to twenty.

Go More info

Build Expressions Equal to Twenty

The Snap Blocks™ tool is an engaging way for students to explore the concept of equality and begin to make generalizations that will inform their algebraic thinking. The ideas here can be used as stand-alone activities or as a supplement to an existing math curriculum, or can be incorporated into a professional development program for teachers. Students will understand the meaning of the equal sign and the concept of equivalence, and will explore relational thinking by noting relationships between two sides of the equal sign.

Build Expressions Equal to One Hundred

Using expressions that have one to three addends, this tool engages students in understanding equivalence of numbers and expressions up to one hundred.

Go More info

Build Expressions Equal to One Hundred

The Snap Blocks™ tool is an engaging way for students to explore the concept of equality and begin to make generalizations that will inform their algebraic thinking. The ideas here can be used as stand-alone activities or as a supplement to an existing math curriculum, or can be incorporated into a professional development program for teachers. Students will understand the meaning of the equal sign and the concept of equivalence, and will explore relational thinking by noting relationships between two sides of the equal sign.

Second Grade Addition and Subtraction

Matching Number Pairs for Two Hundred

Students practice computation strategies and identify number patterns and relationships to make two hundred in a variety of ways.

Go More info

Matching Number Pairs for Two Hundred

Matching Number Pairs activities provide opportunities for students to practice computation strategies and identify number patterns and relationships. The ideas here can be used as stand-alone activities or as a supplement to an existing math curriculum, or can be incorporated into a professional development program for teachers. Matching Number Pairs provides pairs of numbers that add up to a landmark number. The numbers can be restricted (for example, by only using a landmark of ten or multiples of ten) to focus on specific strategies and scaffold student learning.

Addition with Tens on the Number Line

Using an open number line, students jump by tens to decompose addition problems into friendly steps.

Go More info

Addition with Tens on the Number Line

This lesson provides an open number line virtual manipulative for teachers to use within a variety of instructional contexts. Note that in contrast to number lines where all the counting numbers are shown, the open number line shows only the result of operations. Teachers can use it to represent student strategies such as skip counting, adding on, removing, or difference. Research shows it helps students move away from counting one-by-one.

Third Grade Number Sense and Equivalence

Equivalence up to Twenty

Using two expressions that each have one to three addends, this tool engages students in understanding various number pairs that equal twenty.

Go More info

Equivalence up to Twenty

The Snap Blocks™ tool is an engaging way for students to explore the concept of equality and begin to make generalizations that will inform their algebraic thinking. The ideas here can be used as stand-alone activities or as a supplement to an existing math curriculum, or can be incorporated into a professional development program for teachers. Students will understand the meaning of the equal sign and the concept of equivalence, and will explore relational thinking by noting relationships between two sides of the equal sign.

Equivalence up to One Hundred

Using two expressions that each have one to three addends, this tool engages students in understanding equivalence of numbers and expressions up to one hundred.

Go More info

Equivalence up to One Hundred

The Snap Blocks™ tool is an engaging way for students to explore the concept of equality and begin to make generalizations that will inform their algebraic thinking. The ideas here can be used as stand-alone activities or as a supplement to an existing math curriculum, or can be incorporated into a professional development program for teachers. Students will understand the meaning of the equal sign and the concept of equivalence, and will explore relational thinking by noting relationships between two sides of the equal sign.

Ordering Fractions on the Number Line 0–1

Using fractions from 0 to 1, the fraction number line helps students compare and order fractions from 0 to 1.

Go More info

Ordering Fractions on the Number Line 0–1

Just as the number line is a useful tool for helping students compare and order whole numbers, this Interactive Whiteboard Teacher Tool uses a virtual manipulative to help students compare and order fractions from 0 to 1. In addition to understanding that fractions can be used to represent a part of a whole, it’s critical for students to learn and understand that fractions are numbers with actual values that can either be ordered or considered equivalent. Your class will use landmark fractions and fraction equivalence to place fractions on the number line.

Third Grade Addition and Subtraction

Addition on the Number Line Using Landmark Numbers

Using an open number line, students leverage landmark numbers such as tens and hundreds to solve addition problems.

Go More info

Addition on the Number Line Using Landmark Numbers

This lesson provides an open number line virtual manipulative for teachers to use within a variety of instructional contexts. Note that in contrast to number lines where all the counting numbers are shown, the open number line shows only the result of operations. Teachers can use it to represent student strategies such as skip counting, adding on, removing, or difference. Research shows it helps students move away from counting one-by-one.

Subtraction on the Number Line Using Constant Difference

Using an open number line, students explore a compensation strategy as a vehicle to create friendly numbers to solve subtraction problems.

Go More info

Subtraction on the Number Line Using Constant Difference

This lesson provides an open number line virtual manipulative for teachers to use within a variety of instructional contexts. Note that in contrast to number lines where all the counting numbers are shown, the open number line shows only the result of operations. Teachers can use it to represent student strategies such as skip counting, adding on, removing, or difference. Research shows it helps students move away from counting one-by-one.

Fourth Grade Number Sense and Equivalence

Decomposing Fractions Using Time or Money

Using either time or money, this tool allows students to decompose a given fraction from 0 to 2.

Go More info

Decomposing Fractions Using Time or Money

This Interactive Whiteboard Teacher Tool helps students learn that fractions greater than 1 have values that can be ordered and compared using the number line. By allowing your class to interact with fractions from 0 to 2 by using our virtual number line manipulative, your students will learn about using landmark fractions, equivalent fractions, and comparisons for improper fractions.

Ordering Fractions on the Number Line 0–2

The fraction number line helps students learn that fractions greater than 1 have values that can be ordered and compared.

Go More info

Ordering Fractions on the Number Line 0–2

Students have improved number sense with fractions when they relate fractions to a context. Therefore, this Interactive Whiteboard Teacher Tool allows your students to choose either time or money to decompose a given fraction. For example, a clock model is a more useful context for decomposing 2/3, while most students likely feel more comfortable decomposing 7/10 by using money. When either context would work (for example, 3/4), you can gain valuable insights about how your students make sense of fractions in their own minds.

Place Value with Decimals

Students create decimal numbers using place value dials and learn the relationships between powers of ten.

Go More info

Place Value with Decimals

Students create decimal numbers using place value dials and learn the relationships between powers of ten.

Equivalent Fractions on the Number Line

Students develop understanding of equivalent fractions by placing markers at set intervals along a race course.

Go More info

Equivalent Fractions on the Number Line

Students develop understanding of equivalent fractions by placing markers at set intervals along a race course.

Fourth Grade Multiplication and Division

Multiplication: Open Arrays

Students compose arrays, use partial products, and develop understanding of the distributive property to mentally multiply up to 3-digit by 3-digit numbers.

Go More info

Multiplication: Open Arrays

Using an open array model, this tool enables your class to visualize, represent, and improve their strategies for multi-digit multiplication using partial products.

Fourth Grade Addition and Subtraction

Adding Fractions

Using both a concrete bar model and equations, this tool enables students to represent fraction addition and think strategically about which fractional pieces are best to solve a given problem.

Go More info

Adding Fractions

This Interactive Whiteboard Teacher Tool enables students to represent fraction addition using both a concrete bar model and equations. Our fraction bar virtual manipulative engages your class in thinking strategically about which fractional pieces are best to solve the given problem. Your students’ strategies and understanding of fraction equivalence become transparent when you use this interactive tool with them. Your class can have great conversations about solution strategies, efficiency, equivalence, and multiple methods for solving the problem.

Subtracting Fractions

Using the “removal” or “take away” representation, this tool helps your students learn to subtract fractions.

Go More info

Subtracting Fractions

This Interactive Whiteboard Teacher Tool uses the “removal” or “take away” representation to help students learn to subtract fractions. This tool models fraction subtraction using both a concrete bar model and equations. Our fraction bar virtual manipulative engages your class in thinking strategically about fraction equivalence, the difference between fractions, and how to better mentally subtract fractions.

Subtraction Algorithm

Students use the standard subtraction algorithm and a place value workspace to solve subtraction problems involving up to two 3-digit numbers.

Go More info

Subtraction Algorithm

Using a base ten packing context, this tool supports conceptual understanding of the standard algorithm and its notation.

Fifth Grade Multiplication and Division

Division within 10,000 with Remainders

Students choose friendly equations (partial quotients) and the distributive property to solve multi-digit division problems within 10,000 and interpret remainders.

Go More info

Division within 10,000 with Remainders

Using a packing context and partial quotients, this tool helps students understand strategies for multi-digit division as well as how to interpret remainders.

Fraction Multiplication 2

Students multiply two fractions together and use an area model to represent the product.

Go More info

Fraction Multiplication 2

Using an area model, this tool helps students understand how to multiply two fractions and represent fraction products as rectangular areas.

Fifth Grade Addition and Subtraction

Decimal Sums on the Number Line

Students use a number line to add and subtract decimals and solve for a variable in a "change unknown" situation. 

Go More info

Decimal Sums on the Number Line

Students use a number line to add and subtract decimals and solve for a variable in a "change unknown" situation. 

Sixth Grade Ratio and Proportional Relationships

Ratios and Equivalent Measurements

Students reason proportionally with a double number line by marking specific locations along a race course.

Go More info

Ratios and Equivalent Measurements

Students reason proportionally with a double number line by marking specific locations along a race course.

Sixth Grade Number Sense and Equivalence

Decimal Numbers on the Number Line

Students locate positive and negative whole numbers on a number line by scaling the number line by powers of ten.

Go More info

Decimal Numbers on the Number Line

Students locate positive and negative decimal numbers on a number line by scaling the number line by powers of ten.

Proportional Reasoning on a Double Number Line

Students reason proportionally with a double number line by marking specific locations along a race course.

Go More info

Proportional Reasoning on a Double Number Line

In this DreamBox lesson, students set up multiple stations at a specific location along a race course. For example, if a race course that is 96 km long needs to have six equally spaced resting points and twelve equally spaced water stations, students decide which stations are located at 5/6 of the way along the course as well as what mile marker belongs at 5/6 of 96. To solve these problems, students use the race course context and a double number line model to reason proportionally and represent equivalent fractions.

Seventh Grade Geometry

Supplementary and Vertical Angles

Students reason deductively about supplementary, vertical, and adjacent angles to make rotations, aim for targets, and determine angle measurements.

Go More info

Supplementary and Vertical Angles

In this lesson, students deepen their understanding of angle measurement and rotation while fluently reasoning about and using supplementary and vertical angle relationships. Students use DreamBox's engaging digital tool - which points simultaneously in opposite directions - to make rotations, aim for targets, and determine angle measurements. Students must use valid deductive reasoning to figure out how to aim for specific targets in ways that require critical thinking and mental math. Students deepen their understanding of vertical angles congruence and use supplementary angle relationships to make specific rotations.

Seventh Grade Addition and Subtraction

Fraction and Decimal Sums

Students develop fluency with addition & subtraction of fractions & decimals by choosing two numbers that have a target sum.

Go More info

Fraction and Decimal Sums

Students develop fluency with addition & subtraction of fractions & decimals by choosing two numbers that have a target sum.

Subtracting Integers

Students use a number line and only the subtraction operation to solve for a variable in start, change, or result unknown situations.

Go More info

Subtracting Integers

In this DreamBox lesson, students use an open number line model to solve for an unknown integer value in equations such as –163 – x = 437. Students solve equations with one variable in start unknown, change unknown, and result unknown situations by using only subtraction equations that move a pirate ship along the number line. In this lesson, students not only learn ways to solve for an unknown integer value in an equation; they also develop flexible thinking, understand subtraction of negative numbers, and strengthen their mental math abilities.