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Algebra

Finding the Balance

Pre-K-2, 6-8
This lesson encourages students to explore another model of subtraction, the balance. Students will use real and virtual balances. Students also explore recording the modeled subtraction facts in equation form.
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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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Algebra

Magic Squares

6-8
This lesson explores magic squares from both a historical and mathematical perspective. The mathematical analysis leads into symbolic algebraic representation of the patterns. This lesson is based upon an article from the April 2001 edition of Mathematics Teaching in the Middle School. 
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Measurement

Whale Weight

6-8
In this lesson, students investigate relationships between numbers, identify number patterns,
represent the information in graphic chart form, and generalize the results of an investigation. Specifically, students explore the relationship between a whale's length and its weight.
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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

Bouncing Tennis Balls

6-8
Students develop their skills in collecting and recording data using the real-world situation of a bouncing tennis ball. They use the data collected to formulate the relationship between the dependent and independent variable in their experiment.