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### 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.### 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.### 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.### 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.### 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.*

### 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.

### 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.### 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.### 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.### 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.