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### Pitching Cards

3-5

Students measure distances using standard and nonstandard units and record their measurement in various tables. Then use descriptive statistics to report the results. In this lesson, students play a game in which they pitch cards and measure the distances traveled.### I've Seen That Shape Before

Pre-K-2

Students learn the names of solid geometric shapes and explore their properties. At various centers, they use physical models of simple solid shapes, including cubes, cones, spheres, rectangular prisms, and triangular prisms.### National Population Projections

3-5

In this activity, students examine the United States Census Bureau Web site to investigate population projections from 1990-2100. Using the five provided pyramids, students analyze the data to determine how the population is distributed over time, and explain what factors might contribute to these trends.

### State Population Projections

3-5

In this activity, students examine the United States Census Bureau Web site to investigate projections of the total population of states from 1995-2025. Using the provided data, students will analyze statistics from five states of their choice, develop specific research questions using the data, and create three graphs to compare and contrast the information.

### Recording Two Ways

Pre-K-2

The students make sets of pasta shapes and count some away, then record the subtraction in vertical and horizontal formats. They draw a set and cross out some shapes, then write in both formats the subtraction that the drawing represents. ### How Many Left?

Pre-K-2

This lesson encourages the students to explore the familiar set model of subtraction. The students write story problems and find differences using sets, including subtracting all and subtracting zero. They record the differences in a chart.### Where Will I Land?

Pre-K-2

In this lesson, the students find differences using the number line, a continuous model for subtraction. [Number can be considered in two ways: discrete and continuous. The counting and set models use the discrete form of number.] Students are encouraged to predict differences and to compose puzzles involving subtraction. ### 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. ### 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.### 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.