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Algebra

Looking Back and Moving Forward

3-5
In this final lesson of the Unit, students use logical thinking to create, identify, extend, and translate patterns. They make patterns with numbers and shapes and explore patterns in a variety of mathematical contexts.
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Algebra

Exploring Other Number Patterns

3-5
Students analyze numeric patterns, including Fibonacci numbers. They also describe numeric patterns and then record them in table form.
Data Analysis and Probability

Looking Back and Moving Forward

3-5
During this lesson, student use mathematical knowledge and skills developed in the previous lessons to demonstrate understanding and ability to apply that knowledge in a real-life context. As students tackle more complex tasks, teachers have opportunity to observe student’s competence with methods and tools for computation, estimation, problem posing and solving, collection of data, organization and interpretation of graphical representations, measuring with standard units, and responding to investigations that require the comparison of data sets.
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Data Analysis and Probability

Stick or Switch?

6-8, 9-12
This lesson plan presents a classic game-show scenario. A student picks one of three doors in the hopes of winning the prize. The host, who knows the door behind which the prize is hidden, opens one of the two remaining doors. When no prize is revealed, the host asks if the student wishes to "stick or switch." Which choice gives you the best chance to win? The approach in this activity runs from guesses to experiments to computer simulations to theoretical models. This lesson was adapted from an article written by J. Michael Shaughnessy and Thomas Dick, which appeared in the April 1991 issue of the Mathematics Teacher.
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Data Analysis and Probability

Paper Pool Game

6-8
The paper pool game provides an opportunity for students to develop their understanding of ratio, proportion, greatest common divisor, and least common multiple.
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Data Analysis and Probability

Look for Patterns

6-8
The interactive paper pool game in this i-Math investigation provides an opportunity for students to further develop their understanding of ratio, proportion, and least common multiple.
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Data Analysis and Probability

Going the Distance

6-8
The interactive paper pool game in this i-Math investigation provides an opportunity for students to further develop their understanding of ratio, proportion, and least common multiple.
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Algebra

Difference of Squares

6-8
This activity uses a series of related arithmetic experiences to prompt students to generalize into more abstract ideas. In particular, students explore arithmetic statements leading to a result that is the factoring pattern for the difference of two squares. A geometric interpretation of the familiar formula is also included. This lesson plan was adapted from an article by David Slavit, which appeared in the February 2001 edition of Mathematics Teaching in the Middle School.
Data Analysis and Probability

Looking Back and Moving Forward

9-12
As you review student work in this unit, it is important to remember the mathematical objectives/expectations of this Unit Plan that are stated in Principles and Standards for School Mathematics.
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Number and Operations

Wrapping Up the Unit

Pre-K-2
Students review this unit by creating, decomposing, and comparing sets of zero to 10 objects and by writing the cardinal number for each set.