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OnTrack logo
Developing the Concept of Slope

Resource ID: M8M2L4*
Grade Range: 8
Subject: Math

Given multiple representations of linear functions, the student will develop the concept of slope as a rate of change.

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Generating Different Representations of Relationships

Resource ID: M8M2L8*
Grade Range: 8
Subject: Math

Given problems that include data, the student will generate different representations, such as a table, graph, equation, or verbal description.

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Predicting, Finding, and Justifying Data from a Graph

Resource ID: M8M2L10
Grade Range: 8
Subject: Math

Given data in the form of a graph, the student will use the graph to interpret solutions to problems.

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Approximating the Value of Irrational Numbers

Resource ID: M8M1L2*
Grade Range: 8
Subject: Math

Given problem situations that include pictorial representations of irrational numbers, the student will find the approximate value of the irrational numbers.

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Expressing Numbers in Scientific Notation

Resource ID: M8M1L3*
Grade Range: 8
Subject: Math

Given problem situations, the student will express numbers in scientific notation.

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Determining if a Relationship is a Functional Relationship

Resource ID: M8M2L15*
Grade Range: 8
Subject: Math

The student is expected to gather and record data & use data sets to determine functional relationships between quantities.

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Graphing Dilations, Reflections, and Translations

Resource ID: M8M2L2*
Grade Range: 8
Subject: Math

Given a coordinate plane, the student will graph dilations, reflections, and translations, and use those graphs to solve problems.

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Graphing and Applying Coordinate Dilations

Resource ID: M8M2L3*
Grade Range: 8
Subject: Math

Given a coordinate plane or coordinate representations of a dilation, the student will graph dilations and use those graphs to solve problems.

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Determining Slopes from Equations, Graphs, and Tables

Resource ID: M8M2L6*
Grade Range: 6 - 8
Subject: Math

Given algebraic, tabular, and graphical representations of linear functions, the student will determine the slope of the relationship from each of the representations.

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Graphing Proportional Relationships

Resource ID: M8M2L5*
Grade Range: 8
Subject: Math

Given a proportional relationship, students will be able to graph a set of data from the relationship and interpret the unit rate as the slope of the line.

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Analyzing Scatterplots

Resource ID: M8M2L13*
Grade Range: 8
Subject: Math

Given a set of data, the student will be able to generate a scatterplot, determine whether the data are linear or non-linear, describe an association between the two variables, and use a trend line to make predictions for data with a linear association.

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Writing Geometric Relationships

Resource ID: M8M3L8*
Grade Range: 8
Subject: Math

Given information in a geometric context, students will be able to use informal arguments to establish facts about the angle sum and exterior angle of triangles, the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles.

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Solutions of Simultaneous Equations

Resource ID: M8M3L9*
Grade Range: 8
Subject: Math

Given a graph of two simultaneous equations, students will be able to interpret the intersection of the graphs as the solution to the two equations.

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Comparing and Explaining Transformations

Resource ID: M8M4L1*
Grade Range: 8
Subject: Math

Given rotations, reflections, translations, and dilations, students will be able to develop algebraic representations for rotations, and generalize and then compare and contrast the properties of congruence transformations and non-congruence transformations.

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Mean Absolute Deviation

Resource ID: M8M4L4*
Grade Range: 8
Subject: Math

Given a set of data with no more than 10 data points, students will be able to determine and use the mean absolute deviation to describe the spread of the data.

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Generalizing about Populations from Random Samples

Resource ID: M8M4L5*
Grade Range: 8
Subject: Math

Given a population with known characteristics, students will be able to use a variety of methods to generate random samples of the same size in order to understand how a random sample is representative of a population.

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Evaluating Solutions for Reasonableness

Resource ID: M8M1L1a*
Grade Range: 8
Subject: Math

Given problem situations, the student will determine if the solutions are reasonable.

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Predicting, Finding, and Justifying Solutions to Problems

Resource ID: M8M3L7*
Grade Range: 8
Subject: Math

Given application problems, the student will use appropriate tables, graphs, and algebraic equations to find and justify solutions to problems.

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19
OnTRACK Grade 7 Math: Proportionality

Grade Range: 7 - 8
Subject: Math

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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4
OnTRACK Grade 8 Math: Number and Operations

Grade Range: 8
Subject: Math

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

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