# K-8 Math Lessons

## Kindergarten

### Counting 6-10

Virtual tools push students beyond counting by ones to using groups of 2, 3, 5 and 10. After successfully building numbers, students are given more “restrictions,” like building numbers from a number other than 0. This series ends with “quick image” lessons. Play Lesson

### Building Numbers in Different Ways (11-20)

With a mathrack virtual manipulative, students learn that you can build the same number in several different ways, e.g. 10+3 = 7+6. Students can use a variety of strategies to solve these problems, including the commutative property (10+4 = 4+10), doubles or near doubles (10+4 = 7+7), and more. Play Lesson

## Grade 1

### Building a Decade of a Hundreds Chart

Early learners often struggle to “wrap” or move to the next row on a hundreds chart. The distance between numbers can be hard to grasp. For example, the number 30 is just one space away from 40 on a hundreds chart. The number 31 is far from 30, so many students think that 30 and 40 are closer in value than 30 and 31. Includes lessons where students build a hundreds chart, one decade at a time. Play Lesson

### Building Equal Expressions with Snap Blocks™

Snap Blocks lessons let students build and evaluate expressions with multiple addends (like 3+4+6 = 1+6+6), to build understanding of the equal sign. The difficulty is increased by the number of addends on each side of the equation, using larger addends, and more. Play Lesson

## Grade 2

### Addition Using the Open Number Line

The open number line is a powerful tool that helps students visualize making jumps forward and backward on a number line and use a variety of strategies for both addition and subtraction. These strategies include “Making Jumps of 10” (e.g. 79+33 = 79+10+10+10+3) and “Using Landmark Numbers” (e.g. 79+33 = 79+1+20+10+2). Students learn flexible thinking and efficient, accurate problem solving Play Lesson

### Addition using Compensation Buckets™

One of the most efficient mental math strategies is to turn hard problems into “friendlier” problems by making one of the addends a multiple of 10. For example, turn 23+38 into 21+40 by removing 2 from 23 and adding it to the 38. Kids start with smaller 2-digit addends, and when they’re ready they use 3-digit addends. Check out how we made this fun by using a bucket metaphor! Play Lesson

## Grade 3

### Multiplication Area Models

DreamBox uses area models to help develop multiplicative thinking. In a series of activities, a given rectangle is covered using smaller rectangles. As grid lines are removed, students work with open arrays. As rectangles are moved, students are exploring the big ideas in multiplication: distributive, associative, and commutative properties. Play Lesson

### Placing Fractions on the Number Line

This lesson engages students in actively placing fractions in their correct location on the number line. A number line representation ensures students understand how to compare and order fractions apart from any specific part-whole context. Instead of using a particular context, students use landmark fractions and numbers to place fractions on a number line from 0 to 1 and from 0 to 2. Play Lesson

## Grade 4

### Subtraction Algorithm

After students have learned number line and constant difference strategies for subtraction, these DreamBox lessons engage those students in learning the standard algorithm as another approach to solving subtraction problems. Using a context of shipping items from a warehouse, students have a concrete place value connection to the steps in the algorithm. Students learn and use appropriate notation while making sense of the algorithm. Play Lesson

### Subtracting Fractions with Like Denominators

This sample lesson helps students think conceptually, not procedurally, about subtracting fractions. Engaging with virtual manipulatives unique to DreamBox, students make sense of subtracting fractions using the “removal” or “take away” strategy. Lessons are designed so that students become skilled at subtracting mixed numbers and improper fractions fluently, mentally, and easily. Play Lesson

## Grade 5

### Place Value of Decimal Numbers to the Thousandths

Students learn to locate both positive and negative decimal numbers on a number line. This scrolling number line allows students to “zoom in” and “zoom out” to a specific range on the number line using magnifying glasses that scale the number line by either 10 times or 100 times to help students understand the relative magnitude of decimal numbers. Play Lesson

### Order of Operations

Students use the order of operations to evaluate expressions involving addition, subtraction, multiplication and division. Play Lesson

## Grade 6

### Operations Fluency with Exponents

Students fluently simplify expressions involving exponents. Play Lesson

### Coordinate Grids: Location and Measurement

Students define and use a Cartesian coordinate grid to locate points and measure distances between points. Play Lesson

## Grade 7

### Integer Operations

Students use the order of operations to evaluate integer expressions involving addition, subtraction, multiplication and division. Play Lesson

### Supplementary and Vertical Angles

Students deepen their understanding of angle measurement and rotation while fluently reasoning about and using supplementary and vertical angle relationships. Using 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 aim for specific targets in ways that require critical thinking and mental math. Play Lesson

## Grade 8

### Rate of Change

Students determine the rate of change from two (x,y) values, including reading these from table or from a graph. Play Lesson

### Linear Equations

Students interpret the equation y = mx+b as defining a linear function, whose graph is a straight line. Play Lesson