TABLE OF CONTENTS

Prealgebra aligned to CCSS-M Standards

Cluster - MA.8.CCSS.Math.Content.8.EE Expressions and Equations

Cluster - MA.8.CCSS.Math.Content.8.NS The Number System

8.NS.2 Use rational approximations of irrational numbers to compare the size of irrational numbers.

8.EE.2 Use square root and cube root symbols to represent solutions to equations of the form x^2 = p and x^3 = p, where p is a positive rational number.

Cluster - MA.8.CCSS.Math.Content.8.G Geometry

Contents align to MA.8.CCSS.Math.Content.8.G Geometry

Collection Contents


Standards: 8.G.1a, 8.G.1b, 8.G.1c, 8,G.2, 8.G.3, 8.G.4, 8.G.5
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Standards: 8.G.6, 8.G.7, 8.G.8
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Understand congruence and similarity using physical models, transparencies, or geometry software: Verify experimentally the properties of rotations, reflections, and translations: Lines are taken to lines, and line segments to line segments of the same length; Angles are taken to angles of the same measure; Parallel lines are taken to parallel lines
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Understand congruence and similarity using physical models, transparencies, or geometry software: Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe asequence that exhibits the congruence between them. 
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Understand congruence and similarity using physical models, transparencies, or geometry software: Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.
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Understand congruence and similarity using physical models, transparencies, or geometry software: Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similaritybetween them.
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Understand congruence and similarity using physical models, transparencies, or geometry software: Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles. For example, arrange three copies of the same triangle so that the sum of the three angles appears to form a line, and give an argument in terms of transversals why this is so.
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Understand and apply the Pythagorean Theorem: Explain a proof of the Pythagorean Theorem and its converse.
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Understand and apply the Pythagorean Theorem: Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.
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Understand and apply the Pythagorean Theorem: Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.
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Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres: Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.
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