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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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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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2 OnTRACK Grade 6 Math Module 1

This OnTRACK Grade 6 math module feature resources that touch upon student expectations for mathematical process standards, number and operations, proportionality, and personal financial literacy.

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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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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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6 OnTRACK Algebra I: Properties and Attributes of Functions

Students will learn how to use the properties and attributes 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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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.

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Selecting a Method to Solve Equations or Inequalities

Given an equation or inequality, the student will select a method (algebraically, graphically, or calculator) to solve the equation or inequality.

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Constructing and Justifying Statements about Geometric Figures

Students will distinguish between undefined terms, definitions, postulates, conjectures, and theorems and investigate patterns to make conjectures about geometric relationships.

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Using Properties of Transformations

Given examples of mathematics in the real world, the student will use properties of transformations and their composites to describe and perform transformations of figures in a plane.

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Connecting Postulates, Definitions, and Theorems

The student will distinguish the difference between undefined terms, definitions, postulates, conjectures, and theorems.

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Comparing and Contrasting Proportional and Non-Proportional Linear Relationships

Given problem solving situations, the student will solve the problems by comparing and contrasting proportional and non-proportional linear relationships.

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Predicting the Effects of Changing Slope in Problem Situations

Given verbal, symbolic, numerical, or graphical representations of problem situations, the student will interpret and predict the effects of changing the slope in the context of the situations.

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Applying Trigonometric Ratios

Given problem situations involving similar figures, the student will apply and justify triangle similarity relationships such as trigonometric ratios.

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Using Logical Reasoning to Prove Conjectures about Circles

Given conjectures about circles, the student will use deductive reasoning and counterexamples to prove or disprove the conjectures.

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Rational Functions: Predicting the Effects of Parameter Changes

Given parameter changes for rational functions, students will be able to predict the resulting changes on important attributes of the function, including domain and range and asymptotic behavior.

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Coordinate Geometry: Special Segments

The student will derive and use the slope and midpoint formulas to verify geometric relationship that include parallelism and perpendicularity of lines. Then, the student will determine an equation of a line parallel or perpendicular to a given line.

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Estimating Measurements and Using Models and Formulas: 3-Dimensional Figures

Given application problems involving 3-dimensional figures, the student will estimate measurements, including surface area and/or volume, then solve the problems.