# Teacher Tools

## 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. View Teacher Tool View Teacher Tool in Spanish

### 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 View Teacher Tool View Teacher Tool in Spanish

### 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. View Teacher Tool View Teacher Tool in Spanish

### Numbers to Twenty on the MathRack

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

## 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. View Teacher Tool View Teacher Tool in Spanish

### Matching Number Pairs for Nine

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

### Matching Number Pairs for Ten

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

## 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. View Teacher Tool View Teacher Tool in Spanish

### 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. View Teacher Tool View Teacher Tool in Spanish

## 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. View Teacher Tool View Teacher Tool in Spanish

### Matching Number Pairs for Fifty

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

### 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. View Teacher Tool View Teacher Tool in Spanish

## 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. View Teacher Tool View Teacher Tool in Spanish

### 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. View Teacher Tool View Teacher Tool in Spanish

## 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 View Teacher Tool View Teacher Tool in Spanish

### Addition with Tens on the Number Line

Using an open number line, students jump by tens to decompose addition problems into friendly steps. View Teacher Tool View Teacher Tool in Spanish

## 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. View Teacher Tool View Teacher Tool in Spanish

### 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. View Teacher Tool View Teacher Tool in Spanish

### 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. View Teacher Tool View Teacher Tool in Spanish

## 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. View Teacher Tool View Teacher Tool in Spanish

### 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. View Teacher Tool View Teacher Tool in Spanish

## 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. View Teacher Tool View Teacher Tool in Spanish

### 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. View Teacher Tool View Teacher Tool in Spanish

### Place Value with Decimals

Students create decimal numbers using place value dials and learn the relationships between powers of ten. View Teacher Tool View Teacher Tool in Spanish

### Equivalent Fractions on the Number Line

Students develop understanding of equivalent fractions by placing markers at set intervals along a race course. View Teacher Tool View Teacher Tool in Spanish

## 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. View Teacher Tool View Teacher Tool in Spanish

## 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. View Teacher Tool View Teacher Tool in Spanish

### Subtracting Fractions

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

### Subtraction Algorithm

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

## 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. View Teacher Tool View Teacher Tool in Spanish

### Fraction Multiplication 2

Students multiply two fractions together and use an area model to represent the product. View Teacher Tool View Teacher Tool in Spanish

## 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. View Teacher Tool View Teacher Tool in Spanish

## Sixth Grade Geometry

### Coordinate Grids: Location and Measurement

Students define and use a Cartesian coordinate grid to locate points and measure distances between points. View Teacher Tool View Teacher Tool in Spanish

### Coordinate Grids: Lines of Reflection

Students reflect points on a coordinate grid over a line of reflection. View Teacher Tool View Teacher Tool in Spanish

## Sixth Grade Number Sense and Proportional Reasoning

### 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. View Teacher Tool View Teacher Tool in Spanish

### Proportional Reasoning on a Double Number Line

Students reason proportionally with a double number line by marking specific locations along a race course. View Teacher Tool View Teacher Tool in Spanish

### Ratios and Equivalent Measurements

Students use a ratio table to represent equivalent measurement ratios in the context of a recipe. This DreamBox lesson helps students mentally multiply and divide as they use scale factors and number relationships to understand equivalent ratios. View Teacher Tool View Teacher Tool in Spanish

## 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. View Teacher Tool View Teacher Tool in Spanish

## Seventh Grade Number Sense and Proportional Reasoning

### Fraction and Decimal Sums

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

### Subtracting Integers

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

### Integer Operations

Students use the order of operations to evaluate integer expressions involving addition, subtraction, multiplication and division. View Teacher Tool View Teacher Tool in Spanish

## Eighth Grade Algebra

### Factoring Quadratic Expressions with Arrays

Students use an array to represent quadratic expressions written in either standard or factored form. View Teacher Tool View Teacher Tool in Spanish

## Eighth Grade Functions

### Polynomial Functions and Scatter Plots

Students model linear, quadratic, and cubic relationships by analyzing a scatterplot and representing it with a function in either standard or factored form. View Teacher Tool View Teacher Tool in Spanish