DreamBox offers over 2,000 lessons with millions of paths through the curriculum. To engage students exactly where they are, it adjusts in real-time, adapting hints, level of difficulty, pace, and sequence.
Recognizing Quantity on a Quick Image: Up to 10 on the Math Rack
Using the familiar tool of a math rack to display various quantities from 1-10, students are briefly shown an image of an amount of beads and then asked to choose the number they saw on the numberline. “Quick Images” are an effective strategy to help students learn to conceptualize a number in a variety of ways. This helps students to use numbers flexibly, which is an important facet of number sense.
Representing Numbers to 20 in Two Different Ways on a Math Rack
With a math rack 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.
Representing Numbers to 10 on a Ten Frame and Identifying the Numeral
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.
Creating Equal Sums to 20 in Two Ways with Three Addends
Snap Blocks lessons let students build and evaluate expressions with multiple addends to build understanding of the equal sign. The difficulty is increased by the number of addends on each side of the equation.
Using Tools to Explore the Measurement of Object Dimensions
Students’ exploration of measurement continues as they begin to measure the different dimensions of objects using non-standard tools. Using common classroom items as digital manipulatives to calculate the lengths and widths of objects, students also begin to understand that tools need to be rotated depending on the dimension being measured and that different sized tools are going to result in different measurements of the length and width.
Students develop a conceptual understanding of place value up to the hundreds place by packing loose items into boxes of 10 and packing 10 boxes of 10 into crates.
Addition with a Compensation Strategy Using a Manipulative with Counters
Turn hard problems into “friendlier” problems by making one of the addends a multiple of 10. Students start with smaller 2-digit addends, and when they’re ready they use 3-digit addends. It’s an efficient mental math strategy.
Associated Addition Equations: Adding a Multiple of 10 and Near Multiple of 10 on the Number Line
Students visualize making jumps on a number line and use a variety of strategies for both addition and subtraction. 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).
Representing Products to 144 by Partial Products and Arrays
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 explore ideas in multiplication: distributive, associative, and commutative properties.
Marking and Labeling Fractions Between 0 and 2 on a Number Line
A number line representation ensures students can compare and order fractions apart from any specific part-whole context. Students use landmark fractions and numbers to place fractions on the number line from 0 to 1 and from 0 to 2.
Subtracting Fractions of Like Denominator Using Number Blocks
This lesson helps students think conceptually, not procedurally, about subtracting fractions by using the “removal” or “take away” strategy. This enables skill of subtracting mixed numbers and improper fractions fluently, mentally, and easily.
Students solve division equations by creating friendly equations and slicing an array to see a visual of the division problem and to understand how and why the strategy of using partial quotients works.
Students create a specific type of triangle, utilizing knowledge from previous game set. Students construct different types of triangles, quadrilaterals, and polygons, using a ruler and protractor to measure side lengths and angles.
Using dials as a digital manipulative and a tape-measure and odometer as a visual aid, students develop a conceptual understanding of what place values mean in relation to each other, on the right and left sides of a decimal.
Adding Fractions with any Unlike Denominators Using Money, Time, or an Open Context on a Bar Model
Students add fractions with unlike denominators using money, time, or an open bar model as context. With these contexts, they are able to use familiar contexts and visuals to help them find a common multiple of the denominators in order to add them together.
Using 180 Degree Relationships to Determine Angle Measurement to a Given Target
Students deepen understanding of angle measurement and rotation while fluently reasoning about and using supplementary and vertical angle relationships. Students use deductive reasoning to make rotations, aim for targets, and determine angle measurements.
Constructing Similar Polygons Using Fractional and Whole Number Scale Factors
Students are given a shape with marked angles and side lengths, then asked to create a new shape using scale factor by constructing different types of triangles, quadrilaterals, regular polygons, and scaled polygons.
Identifying the Value of a Variable in an Equation Including the Four Basic Operations
The student selects amongst the four operations to simplify an expression in a valid order, to determine the value for the variable that makes the equation true.
Recognizing Quantity on a Quick Image: Up to 10 on the Math Rack
Using the familiar tool of a math rack to display various quantities from 1-10, students are briefly shown an image of an amount of beads and then asked to choose the number they saw on the numberline. “Quick Images” are an effective strategy to help students learn to conceptualize a number in a variety of ways. This helps students to use numbers flexibly, which is an important facet of number sense.
Representing Numbers to 20 in Two Different Ways on a Math Rack
With a math rack 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.
Representing Numbers to 10 on a Ten Frame and Identifying the Numeral
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.
Creating Equal Sums to 20 in Two Ways with Three Addends
Snap Blocks lessons let students build and evaluate expressions with multiple addends to build understanding of the equal sign. The difficulty is increased by the number of addends on each side of the equation.
Using Tools to Explore the Measurement of Object Dimensions
Students’ exploration of measurement continues as they begin to measure the different dimensions of objects using non-standard tools. Using common classroom items as digital manipulatives to calculate the lengths and widths of objects, students also begin to understand that tools need to be rotated depending on the dimension being measured and that different sized tools are going to result in different measurements of the length and width.
Students develop a conceptual understanding of place value up to the hundreds place by packing loose items into boxes of 10 and packing 10 boxes of 10 into crates.
Addition with a Compensation Strategy Using a Manipulative with Counters
Turn hard problems into “friendlier” problems by making one of the addends a multiple of 10. Students start with smaller 2-digit addends, and when they’re ready they use 3-digit addends. It’s an efficient mental math strategy.
Associated Addition Equations: Adding a Multiple of 10 and Near Multiple of 10 on the Number Line
Students visualize making jumps on a number line and use a variety of strategies for both addition and subtraction. 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).
Representing Products to 144 by Partial Products and Arrays
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 explore ideas in multiplication: distributive, associative, and commutative properties.
Marking and Labeling Fractions Between 0 and 2 on a Number Line
A number line representation ensures students can compare and order fractions apart from any specific part-whole context. Students use landmark fractions and numbers to place fractions on the number line from 0 to 1 and from 0 to 2.
Subtracting Fractions of Like Denominator Using Number Blocks
This lesson helps students think conceptually, not procedurally, about subtracting fractions by using the “removal” or “take away” strategy. This enables skill of subtracting mixed numbers and improper fractions fluently, mentally, and easily.
Students solve division equations by creating friendly equations and slicing an array to see a visual of the division problem and to understand how and why the strategy of using partial quotients works.
Students create a specific type of triangle, utilizing knowledge from previous game set. Students construct different types of triangles, quadrilaterals, and polygons, using a ruler and protractor to measure side lengths and angles.
Using dials as a digital manipulative and a tape-measure and odometer as a visual aid, students develop a conceptual understanding of what place values mean in relation to each other, on the right and left sides of a decimal.
Adding Fractions with any Unlike Denominators Using Money, Time, or an Open Context on a Bar Model
Students add fractions with unlike denominators using money, time, or an open bar model as context. With these contexts, they are able to use familiar contexts and visuals to help them find a common multiple of the denominators in order to add them together.
Using 180 Degree Relationships to Determine Angle Measurement to a Given Target
Students deepen understanding of angle measurement and rotation while fluently reasoning about and using supplementary and vertical angle relationships. Students use deductive reasoning to make rotations, aim for targets, and determine angle measurements.
Constructing Similar Polygons Using Fractional and Whole Number Scale Factors
Students are given a shape with marked angles and side lengths, then asked to create a new shape using scale factor by constructing different types of triangles, quadrilaterals, regular polygons, and scaled polygons.
Identifying the Value of a Variable in an Equation Including the Four Basic Operations
The student selects amongst the four operations to simplify an expression in a valid order, to determine the value for the variable that makes the equation true.