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Number and Operations

What Balances?

Pre-K-2
This lesson encourages students to explore another meaning of subtraction, the balance. They use subtraction facts to generate related addition facts and explore at the concrete level the idea of subtraction as the inverse of addition.
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Number and Operations

Who's in the Fact Family?

Pre-K-2
In this lesson, the exploration of the relation of addition to subtraction is continued as the students use problem-solving skills to find fact families, including those in which one addend is zero or in which the addends are alike.
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Number and Operations

What's the Difference?

Pre-K-2
During this lesson, students use reasoning to find differences from numbers up to 10, using real and virtual calculators and an addition chart as tools. They also play a concentration game.
Algebra

Two-Square Repeating Patterns

Pre-K-2
In this activity, students analyze how repeating patterns are generated. Using the interactive computer applet, students create, compare, and contrast pattern units of two squares and predict how patterns with different colors will appear when repeated in a grid and check their predictions.
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Algebra

Multiple-Square Repeating Patterns

Pre-K-2
In this activity, students create and analyze repeating patterns using pattern units of three, four, and five squares. They predict how patterns with different numbers of squares will appear when repeated in a grid, and check their predictions. Students investigate similarities and differences between the rows, columns, and diagonal patterns created with each pattern unit.
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Algebra

Different Representations

Pre-K-2
In this activity, students create patterns using connecting cubes and describe various patterns they find in different sequences of cubes. Students explore and describe connecting patterns, and extend their patterns using a sequence of sounds and shapes. Students investigate various ways to interpret the same sequence of cubes by exploring ways to describe patterns translating from one representation to another.
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Algebra

Repeating and Growing Patterns

Pre-K-2
In this activity, students create and explore more complex patterns such as "growing patterns" which have related but different relationships to "repeating patterns". Students form generalizations, analyze, and describe growing patterns using connecting-cubes, and explore what happens when growing patterns "double" or "split."
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Measurement

Block Pounds

Pre-K-2
Students explore the use of variables as they solve for the weights of objects using information presented in pictures. They model situations that involve adding and subtracting whole numbers, using objects, pictures, and symbols.
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Geometry

Tangram Puzzles

Pre-K-2
In this activity, students choose a picture and use all seven tangram pieces to fill in the outline. They describe and visualize what figures look like when they are transformed through rotations, reflections, or translations, and are put together or taken apart in different ways. This activity helps students to develop their spatial memory and spatial visualization skills, to recognize and apply transformations, and to become more precise in their use of vocabulary about space. Students use an internet-based tool to explore tangram puzzles.
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Data Analysis and Probability

Baby Weight

Pre-K-2
In this lesson, students work with data to complete an organized chart by doubling or halving numbers. Then, they compare data using vertical and horizontal bar graphs.