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Measurement

Shops at the Mall

6-8
Students participate in an activity in which they develop number sense in and around the shopping mall. They solve problems involving percent and scale drawings.
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Algebra

Orbiting Satellites

6-8
In this lesson students explore the concept of orbits, focusing on altitude, velocity, and distance traveled. The lesson explores the connection of Earth-orbiting satellites to the study of the environment. Both geometric and algebraic concepts are presented to students in this application of science and mathematics to a real-world situation.
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Geometry

Patterns and Functions

6-8
Students investigate properties of perimeter, area, and volume related to various geometric two- and three-dimensions shapes. They conjecture, test, discuss, verbalize, and generalize patterns. Through this process they discover the salient features of the pattern, construct understandings of concepts and relationships, develop a language to talk about the pattern, integrate, and discriminate between the pattern and other patterns. When relationships between quantities in a pattern are studied, knowledge about important mathematical relationships and functions emerges.
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Number and Operations

Classifying Numbers

6-8
Students use Venn diagrams to represent the relationships between the factors or products of two numbers.
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Number and Operations

Connections and Extensions

6-8
Students make connections and expand on what they have learned in the first three lessons. Students explain the effects of different moves on the game board. Finally, students "Guess My Number" using various clues.
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Number and Operations

Understanding Rational Numbers and Proportions

6-8

In this lesson, students use real-world models to develop an understanding of fractions, decimals, unit rates, proportions, and problem solving.

The three activities in this investigation center on situations involving rational numbers and proportions that students encounter at a bakery. These activities involve several important concepts of rational numbers and proportions, including partitioning a unit into equal parts, the quotient interpretation of fractions, the area model of fractions, determining fractional parts of a unit not cut into equal-sized pieces, equivalence, unit prices, and multiplication of fractions.

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Number and Operations

Multiplying Integers Using Videotape

6-8
In this lesson, students experience beginning-algebra concepts through discussion, exploration, and videotaping. The concept of multiplication of integers is presented in a format which encourages understanding, not simply rote memorization of facts. This lesson plan is adapted from the article, "A Videotaping Project to Explore the Multiplication of Integers", by Marcia B. Cooke, which appeared in Arithmetic Teacher, Vol. 41, No. 3 (November 1993) pp. 170-171.
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Number and Operations

Factor Game

3-5, 6-8
The Factor Game engages students in a friendly contest in which winning strategies involve distinguishing between numbers with many factors and numbers with few factors. Students are then guided through an analysis of game strategies and introduced to the definitions of prime and composite numbers.
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Number and Operations

Armstrong Numbers

6-8, 9-12
An Armstrong number is an n-digit number that is equal to the sum of the nth powers of its digits. In this lesson, students will explore Armstrong numbers, identify all Armstrong numbers less than 1000, and investigate a recursive sequence that uses a similar process. Throughout the lesson, students will use spreadsheets or other technology.
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Algebra

Arithme-Tic-Toc

6-8, 9-12
Students will be introduced to modular arithmetic by first examining a five-hour analog clock and its mathematical properties. Then students will investigate patterns and relationships that exist in 12-hour addition and multiplication clock tables.