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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.
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Data Analysis and Probability

Exploring Linear Data

6-8, 9-12
Students model linear data in a variety of settings that range from car repair costs to sports to medicine. Students work to construct scatterplots, interpret data points and trends, and investigate the notion of line of best fit.
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Algebra

What’s Next?

3-5
Students begin their study of growing patterns by making linear patterns with pattern block shapes using several pattern cores. They extend a partner’s pattern and find the missing element in a pattern.
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Algebra

Patterns on Charts

3-5
Students find, record, and analyze patterns on hundred and multiplication charts. They also use an online calculator to generate patterns and then record the patterns on a chart.
Algebra

Growing Patterns

3-5
Students use numbers to make growing patterns. They create, analyze, and describe growing patterns and then record them. They also analyze a special growing pattern called Pascal’s triangle.
Algebra

Looking Back and Moving Forward

3-5
In this final lesson of the Unit, students use logical thinking to create, identify, extend, and translate patterns. They make patterns with numbers and shapes and explore patterns in a variety of mathematical contexts.
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Algebra

Exploring Other Number Patterns

3-5
Students analyze numeric patterns, including Fibonacci numbers. They also describe numeric patterns and then record them in table form.
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Data Analysis and Probability

Paper Pool Game

6-8
The paper pool game provides an opportunity for students to develop their understanding of ratio, proportion, greatest common divisor, and least common multiple.
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Algebra

Difference of Squares

6-8
This activity uses a series of related arithmetic experiences to prompt students to generalize into more abstract ideas. In particular, students explore arithmetic statements leading to a result that is the factoring pattern for the difference of two squares. A geometric interpretation of the familiar formula is also included. This lesson plan was adapted from an article by David Slavit, which appeared in the February 2001 edition of Mathematics Teaching in the Middle School.