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Algebra

What’s Next?

Pre-K-2, 3-5
In this lesson, students make patterns with objects, read patterns and find patterns in the environment. They should be encouraged to classify patterns by type (i.e. AAB, ABC). They continue learning about patterns by extending a given pattern, identifying missing elements in a pattern, and recording a pattern.
Algebra

Exploring Other Number Patterns

Pre-K-2, 3-5
Students make and extend numerical patterns using hundred charts. They also explore functions at an intuitive level. This lesson integrates technology.
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Algebra

Growing Patterns

Pre-K-2, 3-5
Students explore growing patterns. They analyze, describe, and justify their rules for naming patterns. Since students are likely to see growing patterns differently, this is an opportunity to engage them in communicating about mathematics.
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Measurement

Maintaining the Balance

3-5
In this lesson for grades 3‑5, students participate in activities in which they focus on patterns and relations that can be developed from the exploration of balance, mass, length of the mass arm, and the position of the fulcrum. The focus of this lesson is determining the position necessary to balance uneven objects and the effect on balance of moving the fulcrum.
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Data Analysis and Probability

Plastic Packaging

3-5
Students participate in an activity in which they investigate the data in connection with recyclable materials and develop plans to help the environment. Specifically, students explore recycling plastic containers.
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Measurement

Collecting The Rays

3-5
In this lesson, students explore how variations in solar collectors affect the energy absorbed. They make rectangular prisms that have the same volume but different linear dimensions. Students investigate relationships among the linear dimensions, the area, and the volume of rectangular prisms.
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Algebra

What Comes Nex_?

3-5
The following activities deal with patterns and the importance of looking at data from more than a single perspective. Included are explorations designed to encourage open-mindedness and to help students develop alternative viewpoints. Students investigate a series of items that appear to be ordered in some "obvious" ways. Students also explore ways of sorting items into two disjoint groups on the basis of some definable characteristic. This lesson was adapted from "What Comes Nex_?", written by William R. Speer & Daniel J. Brahier. It appeared in the October, 1995 Teaching Children Mathematics Vol. 2, no. 2.
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Algebra

The Variable Machine

3-5

This lesson provides an introduction to the use of variables, and develops students' algebraic thinking. Students create variable machines to discover the value of words.

This lesson was adapted from a lesson by Gilbert Cuevas and Karol Yeatts, as found in Navigating Through Algebra in Grades 3 ‑ 5, from the Navigations Series, NCTM 2001.

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Algebra

Single Runner

3-5
In this activity, students use a software simulation of one runner along a track. Students control the speed and starting point of the runner, watch the race, examine a graph, and analyze the time-versus-distance relationship. This activity helps students understand, describe, and compare situations involving constant rates of change.
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Algebra

Two Runners

3-5
In this activity, students use a software simulation of two runners along a track. Students control the speed and starting point of the runners, watch the race, examine the graphs, and analyze the time-versus-distance relationships. This activity helps students understand, describe, and compare situations involving constant rates of change.