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Algebra

Code Crackers

9-12

Begin an exploration of cryptology by first learning about two simple coding methods— the Caesar cipher and the Vigenere cipher. 

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Algebra

Counting the Trains

6-8, 9-12

In this unit, students will investigate a relationship between recursive functions and exponential functions.

 

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Data Analysis and Probability

Determining Functions Using Regression

9-12
Collect data and determine the best type of function to describe the trend.
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Data Analysis and Probability

Fibonacci Nim

9-12

Represent numbers in other bases and convert to and from decimal representations, and then, learn how to play Static Nim.  

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Measurement

Investigating Pick's Theorem

9-12
Rediscover Pick's Theorem, use algebra to determine the coefficients of the equation, and explore the concept of change as a mechanism for finding the coefficients of Pick’s Theorem.
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Geometry

Law of Sines and Law of Cosines

9-12

Learn the Law of Sines and the Law of Cosines and determine when each can be used to find a side length or angle of a triangle.

 

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Number and Operations

Learn about Properties of Vectors and Vector Sums Using Dynamic Software

9-12
Develop an understanding of vectors and their properties.
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Data Analysis and Probability

Least Squares Regression

9-12
Develop skills in connecting, communicating, reasoning, and problem solving as well as representing fundamental ideas about data.
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Algebra

Movement with Functions

6-8, 9-12

Use movement to reinforce the concepts of linear functions and systems of equations.  

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Geometry

Pi Filling, Archimedes Style!

9-12
Inscribe and circumscribe regular polygons in and around the unit circle, which is known to have an area of π.