Geometry Curriculum Map

Geometry Curriculum Map - Fairview High School Curricular...

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Fairview High School Curricular Map Geometry (Letters and numbers in bold print refer to the Essential Learnings from the Geometry Curriculum Essentials Document, Boulder Valley School District, May 2009) Unit 1 (3 weeks): Tools of Geometry Patterns and Inductive Reasoning o GM6d Uses inductive reasoning Points, Lines and Planes o GM3a Draws and labels sets of points o GM6f Describes undefined terms (point, line, plane) and defines key geometric terms Segments, Rays, Parallel Lines and Planes o GM3a Draws and labels sets of points such as line segments, rays, and circles Measuring Segments and Angles o Mathematics Standard 5 Basic Constructions o GM3c Constructions The Coordinate Plane o GM2c Applies the distance formula to find the length of a line segment when given the coordinates of the endpoints o GM2d Finds the coordinates of the midpoint of a segment Perimeter, Circumference, and Area o GM5a Calculates perimeter, circumference and area of common geometric figures Unit 2 (3 weeks) Reasoning and Proof Conditional Statements o GM6e Given a conditional statement write its converse Biconditionals and Definitions o GM6e Given a conditional statement write its converse Deductive Reasoning o GM6d Uses deductive reasoning o GM6b Determines the validity of a logical argument
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Reasoning in Algebra o GM7a Selects, applies, and translates among mathematical representations to solve problems and justifies the reasonableness of solutions Proving Angles Congruent o GM6c Distinguishes between postulates and theorems o GM2a Solves practical problems using the relationships between pairs of angles (e.g., vertical angles, complementary angles and supplementary angles) Unit 3 (3 weeks): Parallel and Perpendicular Lines Properties of Parallel Lines o GM2a Solves practical problems using the relationships between pairs of angles (e.g. corresponding angles, same side interior angles and alternate interior angles) Proving Lines are Parallel o GM2b Uses deductive methods to determine whether two lines are parallel o GM6a Writes simple deductive proofs for parallel and perpendicular lines Parallel Lines and the Triangle Angle-Sum Theorem o GM3d Calculates the interior and exterior angles of triangles using properties of parallel lines and the triangle angle sum theorem The Polygon Angle-Sum Theorems o GM3b Identifies and classifies special types of polygons (e.g., parallelograms) using measurements of angles, sides and geometric properties Lines in the Coordinate Plane o Mathematic Standard 2 Algebra Slopes of Parallel and Perpendicular Lines o GM2b Uses algebraic, coordinate and deductive methods to determine whether two lines are parallel or perpendicular Constructing Parallel and Perpendicular Lines
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Geometry Curriculum Map - Fairview High School Curricular...

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