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Geometry

Counting Embedded Figures

6-8, 9-12
This grades 7-12 activity allows students to look for patterns within the given data. After looking at the pattern, the student should be able to form generalizations for the problem. Furthermore, this activity sharpens the algebraic skills of the students. The problem sharpens visualization skills.
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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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Algebra

Creating, Describing, and Analyzing Patterns

Pre-K-2
Use interactive math applets to learn about repeating and growing patterns.
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Number and Operations

Desafío en las Profundidades del Mar

3-5, 6-8
Utilizando el juego en linea Deep Sea Duel, los estudiantes participan en un juego de tarjetas contra Okta. El objetivo es elegir tarjetas de modo que algún subconjunto de tres tarjetas den una cantidad determinada. Los estudiantes jugaran variaciones del juego, intentando identificar una estrategia ganadora, y harán comparacion de este juego con otros juegos que ellos conocen.
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Algebra

What's the Function?

9-12
This activity allows students to look for functions within a given set of data. After analyzing the data, students should be able to determine what type of function best represents the data.
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Algebra

Exploring Equations Further

9-12
Starting from the concrete notion of weights and balance and moving to symbolic expressions and representations of functions, this i-Math investigation has focused on some of the issues that arise along the way. In this part, this connection is extended to functions. More sophisticated tools allow for a greater diversity of investigations.
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Data Analysis and Probability

Mathematics as Communication

6-8
This grades 6-8 activity focuses on interpreting and creating graphs that are functions of time. The first two activity sheets focus on graphs of time vs speed. The third and fourth activity sheets look at how many times an event occurred in a specific amount of time. These activity sheets are appropriate for students who have not taken algebra yet. This lesson plan was adapted from an article by Marian Moody which appeared in the December 1990 issue of the Mathematics Teacher. 
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Algebra

Polygons, Perimeter, and Patterns: Discovering the Algebra in Perimeter Patterns

3-5
In this lesson, students use pattern blocks to create polygon "chains" and calculate the perimeter of the trains as they get longer. The students will recognize and create patterns based on adding the same shape repeatedly to the train. The students then write algebraic expressions to describe the patterns.
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Data Analysis and Probability

Running with Dinosaurs: Computing Running Rates Using Body Measurements, Footprints, and Algebra

3-5, 6-8
Studying the behavior and motion of dinosaurs is obviously a challenge since these creatures are extinct. If researchers wish to examine the running velocity of a dinosaur, they must instead consider other evidence of dinosaur motion and make an indirect estimate. In this lesson, students will play the role of researchers who field test the Alexander Formula—a formula that uses paleontology data to estimate dinosaur running velocities. Students will serve as human analogues, making measurements on themselves, computing predicted running velocities using the Alexander Formula, and calculating their actual running velocities. They will then evaluate the accuracy of the formula by comparing estimated and actual running velocities for the class. 
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Measurement

Tree Talk

3-5, 6-8
If a tree could talk, we could ask it how old it is. Here is a mathematical way to estimate the age of your schoolyard trees. Students will measure circumference of trees in order to find diameter and calculate age of local trees using a growth rate table.