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Data Analysis and Probability

About Our Class

6-8
In the following grades 6-8 lesson, students participate in activities in which they focus on the uses of numbers. The activities explore how students use numbers in school and every day settings as a way for students and the teacher to get to know each other at the beginning of the school year.
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Algebra

Analyzing the Data

9-12

In the third lesson, students identify a function that models the data. An interactive graphing tool can be used to determine a function that fits the data points.

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Algebra

Do You Notice Sum-Thing?

6-8, 9-12
This lesson invites students to investigate the patterns when a "plus sign" (a cross-shaped arrangement of five squares) is placed on the board in various locations. Students will conjecture about the pattern of the five displayed numbers, the sum of the five numbers, and any other patterns that they notice. Students may also explore similar patterns when other shapes, such as a 2 × 1 rectangle, are placed on the hundreds board.
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Number and Operations

Elevator Arithmetic

6-8, 9-12

Students will use vertical movement of an elevator to evaluate signed number expressions.

The idea behind the method of adding and subtracting signed integers offered in this lesson and the next is that the number of rules that students have to memorize and the amount of understanding are minimal, while the underlying concepts are not trivialized.

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Data Analysis and Probability

Explore More Tables

6-8
The interactive paper pool game in this i-Math investigation provides an opportunity for students to further develop their understanding of ratio, proportion, and least common multiple.
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Measurement

Exploring Diagonals and the Pythagorean Theorem

6-8
Students further explore square roots using the diagonals of rectangles. Using measurement, students will discover a method for finding the diagonal of any rectangle when the length and width are known, which leads to the Pythagorean Theorem.
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Number and Operations

Flipping for Integers

6-8, 9-12
In this lesson, students will adapt expressions that add or subtract two signed integers.
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Geometry

Puzzling Pentominoes

6-8
In this lesson, students construct the 12 pentomino figures then utilize them to explore area and perimeter. By the end of the lesson students will be able to identify those constructions that are pentominoes and those that aren't. Students will also be able to calculate area and perimeter of pentomino combinations.
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Measurement

Walk to the Movies

6-8, 9-12
In this lesson students measure their speed walking in a hallway and predicting how long it takes them to get to the local movie theater 3 miles away. This is an open-ended problem in which students must develop a strategy on how to collect the data, how to convert the data to MPH, and finally make a prediction. In addition to reasoning skills, students will practice unit conversion, prediction, proportions, and graphing.
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Number and Operations

Factor Game

3-5, 6-8
Exercise your factoring ability against a human or the computer in this Calculation Nation game.