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Algebra

Egg Launch Contest

9-12
Students will represent quadratic functions as a table, with a graph, and with an equation. They will compare data and move between representations.
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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.
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Geometry

Dividing a Town into Pizza Delivery Regions

9-12

Students will construct perpendicular bisectors, find circumcenters, calculate area, and use proportions to explore the following problem:

You are the owner of five pizzerias in the town of Squaresville. To ensure minimal delivery times, you devise a system in which customers call a central phone number and get transferred to the pizzeria that is closest to them. How should you divide the town into five regions so that every house receives delivery from the closest pizzeria? Also, how many people should staff each location based on coverage area?
 
Algebra

Exploring Equations

9-12
 In this lesson, students use their knowledge of weights and balance, symbolic expressions, and representations of functions to link all three concepts.
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Algebra

More Trains

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. 
Algebra

Recursive and Exponential Rules

6-8, 9-12
In this lesson make connections between exponential functions and recursive rules.  Students will use tables to create graphs, define recursive rules and find exponential formulas.
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Algebra

Predicting Your Financial Future

9-12
Students often ask, “When are we ever going to use this?” Compound interest is a topic that provides an inherent answer to this question. In this activity, students use their knowledge of exponents to compute an investment’s worth using a formula and a compound interest simulator. Students also use the simulator to analyze credit card payments and debt.

 
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Algebra

There Has to Be a System for This Sweet Problem

9-12
We are confronted with problems on a regular basis. Some of these are easy to solve, while others leave us puzzled. In this lesson, students use problem-solving skills to find the solution to a multi-variable problem that is solved by manipulating linear equations. The problem has one solution, but there are multiple variations in how to reach that solution.

 
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Algebra

How Should I Move?

6-8, 9-12
This investigation uses a motion detector to help students understand graphs and equations. Students experience constant and variable rates of change and are challenged to consider graphs where no movements are possible to create them. Multiple representations are used throughout the lesson to allow students to build their fluency with in how graphs, tables, equations, and physical modeling are connected. The lesson also allows students to investigate multiple function types, including linear, exponential, quadratic, and piecewise.
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Algebra

How Did I Move?

6-8, 9-12
A common problem when students learn about the slope-intercept equation y = mx + b is that they mechanically substitute for m and b without understanding their meaning. This lesson is intended to provide students with a method for understanding that m is a rate of change and b is the value when x = 0. This kinesthetic activity allows students to form a physical interpretation of slope and y-intercept by running across a football field. Students will be able to verbalize the meaning of the equation to reinforce understanding and discover that slope (or rate of movement) is the same for all sets of points given a set of data with a linear relationship.