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Unformatted text preview: Course: 09 th Grade Honors/Gifted Geometry Text: Geometry : Holt, Rinehart and Winston Cost: \$47.40 Prerequisite: 08 th Grade Honors/Gifted Algebra Curricular goals interwoven throughout the mathematics program are that students will: learn to communicate mathematically (QCC) learn to use mathematics in their daily lives (QCC) become proficient with appropriate computational tools and techniques (QCC) learn to reason mathematically (QCC) become mathematical problem solvers (QCC) These goals will provide the direction for assessment and instruction. Attainment of these goals is facilitated by the students’ demonstration of the following Academic Knowledge and Skills (AKS). Chapter 1 Exploring Geometry (pp. 2-77) • apply line and angle relationships (QCC, SAT I) (MAHG_A2002-2) • create loci constructions (QCC) (MAHG A2001-4) • analyze effects of reflections, rotations and dilations on geometric figures in the coordinate plane (QCC) (8MAG_C<pilot>-9) • apply rotations, reflections and symmetry (QCC, HSGT) (MAHG_B2001-16) • apply transformation vectors (MAHG_B2001-17) • create composites of transformations (QCC) (MAHG_B2001-19) (will need to supplement compositions of transformations • determine the image, pre image or inverse of a given mapping, and the composite of two mappings (QCC) (MAHG_B2003-6) • create constructions associated with segments, angles, polygons and circles using compass and straightedge, paper folding, mira, and/or computer graphing software (QCC) (MAHG_ A2001-4 Chapter 2 Reasoning in Geometry (pp. 78-135) • write deductive arguments using laws of logic (QCC) (MAHG_A2001-6) • construct direct and indirect proofs in written form such as paragraph, two-column or flow- chart formats (QCC) (MAHG A_2001-11) • determine the equivalence and validity of truth tables including sentences involving conditional statements, conjunctions, disjunctions, and negations (QCC) (MAHG _2003-3) • determine truth tables for sentences and use Venn Diagrams to illustrate the relationship represented by truth tables) (QCC) (MAHG_A2003-4) Chapter 3 Parallels and Polygons (pp. 136-207) • A pply rotations, reflections and symmetry (QCC, HSGT) (MAHG_B2001-16) • recognize parallel lines and planes, skew lines, and pairs of angles formed when two lines are cut by a transversal (alternate and same side , interior and exterior, corresponding) (QCC) (MAHG_A2003-1) • investigate parallel and perpendicular lines (QCC SAT I) (MAHG_B2001-12) • write deductive arguments involving polygonal relationships (QCC, SAT I) (MAHG_A2001-5) • apply triangle sum, exterior angles, and polygon angle sum theorems (QCC) (MAHG_A2001-7) • prove and apply theorems associated with polygons with respect to angles, sides, segments and angle sum (QCC) (MAHG_A2001-7) • apply properties of polygons and polyhedrons (QCC, SAT I) (MAHG_A2001-11) • create constructions associated with segments, angles, polygons and circles using compass...
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