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45-45-90 Triangles

To learn the pattern of the side lengths of a 45-45-90 triangle, students complete a gallery walk, a card sort activity starting with using the Pythagorean theorem, and activity to locate if there is an error in a presented problem and if so to identify what the error is.

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Can We Get There?

Students will calculate the rate of change and *y*-intercept from a real-world problem represented in a graph, a table, and/or an equation. They will then display and present their findings to the class.

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4 OnTRACK Grade 7 Math: Number and Operations

Students will learn how to apply mathematical process standards to represent and use real numbers in a variety of forms.

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19 OnTRACK Grade 7 Math: Proportionality

Students will learn to use proportional relationships to describe dilations; to explain proportional and non-proportional relationships involving slope; and to use proportional and non-proportional relationships to develop foundational concepts of functions.

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7 OnTRACK Grade 7 Math: Expressions, Equations, and Relationships

Students will learn to develop mathematical relationships and make connections to geometric formulas; use geometry to solve problems; use one-variable equations or inequalities in problem situations; and use multiple representations to develop foundational concepts of simultaneous linear equations.

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4 OnTRACK Grade 8 Math: Number and Operations

Students will learn how to apply mathematical process standards to represent and use real numbers in a variety of forms.

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11 OnTRACK Grade 8 Math: Proportionality

Students learn to to use proportional relationships to describe dilation; explain proportional and non-proportional relationships involving slope; and use proportional and non-proportional relationships to develop foundational concepts of functions.

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9 OnTRACK Grade 8 Math: Expressions, Equations, and Relationships

Students will learn to develop mathematical relationships and make connections to geometric formulas; use geometry to solve problems; use one-variable equations or inequalities in problem situations; and use multiple representations to develop foundational concepts of simultaneous linear equations.

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5 OnTRACK Grade 8 Math: Two-Dimensional Shapes, Measurement, and Data

Students will learn to develop transformational geometry concepts and to use statistical procedures to describe data.