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Data Analysis and Probability

Explorations with Chance

9-12
In this lesson, students analyze the fairness of certain games by examining the probabilities of the outcomes. The explorations provide opportunities to predict results, play the games, and calculate probabilities. Students should have had prior experiences with simple probability investigations, including flipping coins, drawing items from a set, and making tree diagrams. They should understand that the probability of an event is the ratio of the number of successful outcomes to the number of possible outcomes. This lesson was adapted from "Activities: Explorations with Chance," which appeared in the April 1992 issue of the Mathematics Teacher. 
FactorGame
Number and Operations

Factor Game

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

Factor Trail Game

3-5
When students play the Factor Trail game, they have to identify the factors of a number to earn points. Built into this game is cooperative learning — students check one another's work before points are awarded. The score sheet used for this game provides a built-in assessment tool that teachers can use to check their students' understanding.
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Geometry

Fair and Square: Using Concrete-Pictorial-Abstract Activities to Maximize Area

3-5, 6-8
Students discover the relationships between area and perimeter as they prep for playing Square Off, a wonderful Calculation Nation® game. This lesson helps students understand the math of area and perimeter, which will help to maximize their scores when playing the game. Creating human-sized rectangles and working with geoboards provide concrete experiences before moving on to pictorial and abstract work with area and perimeter of rectangles.
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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.  

FiveFrame
Number and Operations

Five Frame

Pre-K-2
The four games that can be played with this applet help to develop counting and addition skills.
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Geometry

Flip-n-Slide: Exploring Transformations through Modeling and Computer Games

6-8, 9-12
In this lesson, students will explore reflections, translations and rotations. Students participate in a modeling activity where they will learn the rules for translations and reflections. Then students will practice using these transformations, as well as explore the rules for rotations, in the game Flip-n-Slide on Calculation Nation®.
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Measurement

Four Square Galore

3-5
Students love games! In this lesson, students apply what they know about area by planning a four square tournament for their school. They'll calculate the total area of a large room and figure out how many four square game courts are possible. The lesson promotes problem solving and decision making as students work to design a tournament space that allows for movement of people and active game play.

Frustration: Analyzing a Card Game with Probability

6-8
This lesson engages students in the joy of mathematical inquiry through a game, while building number sense, understanding of uncertainty, statistical reasoning, and discourse skills. Students will explore the ideas of experimental and conditional probability through the card game, Frustration
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Number and Operations

Fun with Baseball Stats

6-8
The following grades 6-8 activities allow students to explore statistics surrounding baseball. They are exposed to connections between various mathematical concepts and see where this mathematics is used in areas with which they are familiar. This lesson plan is adapted from the May 1996 edition of Mathematics Teaching in the Middle School.