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Algebra

Line 'Em Up

6-8
A self discovery approach in understand the process of plotting points on a coordinate plane, using a program for TI Graphing Calculator.
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Algebra

Vigenere Cipher

9-12
Following their introduction to the Caesar Cipher, students will now learn about the polyalphabetic Vigenere cipher. Text will be encoded and decoded using inverse operations.
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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.
Algebra

Domain Representations

9-12
Students use graphs, tables, number lines, verbal descriptions, and symbols to represent the domain of various functions.
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Number and Operations

Stacking Squares

9-12
This lesson prompts students to explore ways of arranging squares to represent equivalences involving square- and cube-roots. Students’ explanations and representations (with their various ways of finding these roots) form the basis for further work with radicals.
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Measurement

Rediscovering the Patterns in Pick’s Theorem

9-12
Students will use a geoboard, geoboard interactive, or Geometer’s Sketchpad® to help them discover the pattern of Pick’s Theorem.
Algebra

Pick’s Theorem as a System of Equations

9-12
Students will gather three examples from a geoboard or other representation to generate a system of equations. The solution will provide the coefficients for Pick’s Theorem.
Algebra

Rates of Change in Pick’s Theorem

9-12
Students will use a spreadsheet to investigate rates of change among various figures created on a geoboard. The coefficients of Pick’s Theorem are easily determined from these rates of change.
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Algebra

Chairs Around The Table

3-5
Students investigate the number of chairs that can be placed around an arrangement of square tables. Three related problems in this lesson yield different linear relationships for students to discover.
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Algebra

Hanging Chains

9-12
Both ends of a small chain will be attached to a board with a grid on it to (roughly) form a parabola. Students will choose three points along the curve and use them to identify an equation. Repeating the process, students will discover how the equation changes when the chain is shifted.