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Subject Area - CC.2:
Mathematics
Mathematics
- Standard Area - CC.2.3: Geometry
- Grade Level - CC.2.3.8: GRADE 8
Standard - CC.2.3.8.A.3
Understand and apply the Pythagorean Theorem to solve problems.
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Assessment Anchor - G.2.1
Coordinate Geometry and Right Triangles
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Anchor Descriptor - G.2.1.1 Solve problems involving right triangles.
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Eligible Content - G.2.1.1.1 Use the Pythagorean Theorem or trigonometric ratios to write and/or solve problems involving right triangles.Eligible Content - G.2.1.1.2 Use trigonometric ratios to write and/or solve problems involving right triangles.
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Anchor Descriptor - G.2.1.2 Solve problems using analytic geometry.
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Eligible Content - G.2.1.2.1 Calculate the distance and/or midpoint between 2 points on a number line or on a coordinate plane.Eligible Content - G.2.1.2.2 Relate slope to perpendicularity and/or parallelism (limit to linear algebraic equations).Eligible Content - G.2.1.2.3 Use slope, distance and/or midpoint between 2 points on a coordinate plane to establish properties of a 2-dimensional shape.
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Anchor Descriptor - G.2.1.3 Compute and/or use the slope of a line.Anchor Descriptor - G.2.1.4 Solve and/or graph systems of equations and inequalities using coordinate geometry.
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Assessment Anchor - M08.C-G.2 Understand and apply the Pythagorean theorem.
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Anchor Descriptor - M08.C-G.2.1 Solve problems involving right triangles by applying the Pythagorean theorem.
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Eligible Content - M08.C-G.2.1.1 Apply the converse of the Pythagorean theorem to show a triangle is a right triangle.Eligible Content - M08.C-G.2.1.2 Apply the Pythagorean theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions. (Figures provided for problems in three dimensions will be consistent with Eligible Content in grade 8 and below.)
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Alternate Eligible Content - M08.C-G.2.1.2a Apply the Pythagorean theorem to determine length/distance in a real-world problem.
Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.
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Eligible Content - M08.C-G.2.1.3 Apply the Pythagorean theorem to find the distance between two points in a coordinate system.
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