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### Mathematics as Communication

6-8

This grades 6-8 activity focuses on interpreting and creating graphs that are functions of time. The first two activity sheets focus on graphs of time vs speed. The third and fourth activity sheets look at how many times an event occurred in a specific amount of time. These activity sheets are appropriate for students who have not taken algebra yet. This lesson plan was adapted from an article by Marian Moody which appeared in the December 1990 issue of the *Mathematics Teacher.*

### Perimeter Exploration: Exploring How the Perimeter of a Polygon Can Change While Its Area Remains Constant

3-5

In this lesson, students explore the relationship
between perimeter and area. Students use pattern blocks to build polygons to
explore how the perimeter can be different for two or more polygons with the
same area. ### Scaling the City: Ground Truthing the Size of SimCity Objects

6-8

Photographs, blueprints, models, and computer renderings may
serve as virtual representations of real cities. But how accurately do they
represent their real counterparts? In this lesson, students examine a computer
representation of a city and compare the sizes of its features with the sizes
of analogous features in a real city. ### Rainforest Deforestation- Problem or Myth?

9-12

This lesson allows students to explore the idea that
rainforest deforestation is occurring at an exponential rate. Students will use
provided research about Amazon deforestation and conduct their own research to
determine whether deforestation is occurring exponentially.### Getting the (Decimal) Point with Blocks: Multiplying Two Decimals Using Base Ten Blocks

3-5

Students will use
base ten blocks to model decimal multiplication. They will assign different
values to the different base ten blocks to explore the consistent relationship
between the types of blocks. They will also discover different factors for the
same product. These activities will help students develop a conceptual
understanding of decimal multiplication.### A Squadron of Bugs: Introducing Division with Remainders with a Book

3-5

This hands-on lesson uses the book, *A Remainder of One*, by Elinor J. Pinczes, to introduce division with remainder. Students will enjoy the story context as they explore different remainder situations and model division with arrays.

### The Crow and the Pitcher: Investigating Linear Functions Using a Literature-Based Model

6-8

The lesson is based upon Aesop’s fable,
“The Crow and the Pitcher,” and involves students making predictions and conducting
experiments to determine how many pebbles the crow would need to add to the
pitcher in order to bring the water to drinking height. In the course of the
investigation, students gain a real-world understanding of linear functions and
such concepts as slope, *y*-intercept, domain, and range.

### Tallies, Ten Frames, and Baseball Games

Pre-K-2

Your home team can set the stage for students to make math connections. Students will record wins and losses in different formats to discover connections between many of the concepts taught earlier in the year. This lesson will provide daily and weekly practice with patterns, addition and subtraction equations, number models and math communication.### Savvy Sellers and Spenders

3-5

This second lesson places students in the shoes of a real business owner. Students have chosen the products they want to sell, rented locations, and prepared advertising; now they get to experience the thrill of the sell as they spend their $200 on stores' merchandise(s). Students experience real-world applications of adding and subtracting decimals while learning what it means to be a smart consumer.### Jumping Jack Math

3-5

In this lesson, students prepare jumping jack data to send to officials on the planet Jumpalot. Students record how many jumping jacks they can do in ten seconds and use their knowledge of time conversions to figure out how many jumping jacks they could complete in a minute all the way to a year if they never tired. Students then organize class data and explore mean, median, and mode and the effects extreme values have on these measures. Students then brainstorm the advantages and disadvantages each measure offers.