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Measurement

Squares, Diagonals, and Square Roots

6-8
Students explore the relationship between the lengths of the sides and diagonals of a square. Students will use their discoveries to predict the diagonal length of any square.
Measurement

Square Circles

6-8
This lesson allows students to use a variety of units when measuring the side length and perimeter of squares and the diameter and circumference of circles. From these measurements, students will discover the constant ratio of 1:4 for all squares and the ratio of approximately 1:3.14 for all circles.
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Number and Operations

Space Shuttle

6-8
Students consider the amount of time that space travelers must spend on their journey. Students improve their concept of time and distance, while at the same time learn more about the solar system.
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Number and Operations

How Much Time Do We Need?

6-8
Students consider the amount of time that space travelers need to travel to the four terrestrial planets. Students also think about what kinds of events might occur on Earth while the space travelers are on their journey.
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Algebra

One Grain of Rice

6-8
In this lesson, students take on the role of a villager in a third-world country trying to feed her village. While listening to you read aloud the book One Grain of Rice by Demi, students work collaboratively to come up with a bargaining plan to trick the raja into feeding the village using algebra, exponential growth, and estimation.
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Number and Operations

Bean Counting and Ratios

6-8, 9-12

By using sampling from a large collection of beans, students get a sense of equivalent fractions, which leads to a better understanding of proportions. Equivalent fractions are used to develop an understanding of proportions.

This lesson can be adapted for lower-skilled students by using a more common fraction, such as 2/3. It can be adapted for upper grades or higher-skilled students by using ratios that are less instinctual, such as 12/42 (which reduces to 2/7).

Scaffold the level of difficulty in this lesson by going from a simple ratio such as 2/3 to more complicated ratios such as 2/7 or 5/9.

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Algebra

Rise-Run Triangles

6-8, 9-12
This lesson offers students a method for finding the slope of a line from its graph.  The skills from this lesson can be applied as a tool to real-world examples of rate of change and slope.
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Algebra

Fibonacci Trains

6-8
In this lesson, students use Cuisenaire Rods to build trains of different lengths and investigate patterns.  Students make algebraic connections by writing rules and representing data in tables and graphs.
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Data Analysis and Probability

Using NBA Statistics for Box and Whisker Plots

6-8
In this lesson, students use information from NBA statistics to make and compare box and whisker plots. The data provided in the lesson come from the NBA, but you could apply the lesson to data from the WNBA or any other sports teams or leagues for which player statistics are available.
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Algebra

Trains, Fibonacci, and Recursive Patterns

6-8, 9-12
In this lesson, students will use Cuisenaire Rods to build trains of different lengths and investigate patterns. Students will use tables to create graphs, define recursive functions, and approximate exponential formulas to describe the patterns.