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Number and Operations

Components of a Vector

9-12
In this lesson, students manipulate a velocity vector to control the movement of a car in a game setting. Students learn that vectors are composed of two components: magnitude and direction.
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Number and Operations

Sums of Vectors and Their Properties

9-12
This example illustrates how using a dynamic geometrical representation can help students develop an understanding of vectors and their properties, as described in the Number and Operations Standard. Students manipulate a two vectors to control the movement of a plane in a game-like setting. Students extend their knowledge from the first lesson to further investigate the system of vectors.
Algebra

Finding Properties for Sorting

Pre-K-2
Students sort objects and observe the properties others use for sorting. This activity helps students understand and connect many mathematical ideas. By labeling their sorts, students connect number with sets of objects that compose the pattern.
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Algebra

What’s My Rule for Sorting?

Pre-K-2
Students build on prior knowledge of sorting and classifying when they recognize sorts and name rules for sorting. They identify common properties in the classroom environment and make, explain, and defend conjectures to extend their knowledge.
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Algebra

Making a Record of Pattern Cores

Pre-K-2
This lesson focuses on elements that constitute a pattern core or unit. Identifying the core element or unit that is repeated is a necessary early concept that students must understand to recognize and create repeating patterns.
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Algebra

Many Ways to Create Patterns

Pre-K-2
This lesson accommodates multiple learning styles by having students create patterns using different forms. Students use knowledge and skills in new situations to develop a solid understanding of the process for creating patterns, recognizing pattern sequences, and representing patterns in different ways.
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Algebra

Connecting Numbers and Patterns

Pre-K-2
This lesson accommodates multiple learning styles by having students create patterns using different forms. Students use knowledge and skills in new situations to develop a solid understanding of the process for creating patterns, recognizing pattern sequences, and representing patterns in different ways, and connecting numbers with patterns.
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Algebra

Sing and Show Patterns

Pre-K-2
This lesson accommodates multiple learning styles by engaging students in creating patterns with movement and translating the patterns into other forms.
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Algebra

Calculating Patterns

Pre-K-2
Students use an Internet-based calculator that is linked with an interactive hundred chart to create, extend, and record numerical patterns in different ways. By connecting the two representations, students observe the numerical patterns as they are created.
Algebra

Looking Back and Moving Forward

Pre-K-2
This lesson assesses students' understanding of patterns. It measures their ability to create, extend, and interpret patterns in multiple ways.