GEOMETRY CURRICULUM GUIDE Overview and Scope & Sequence

Transcription

1 GEOMETRY CURRICULUM GUIDE Overview and Scope & Sequence Loudoun County Public Schools (Additional curriculum information and resources for teachers can be accessed through CMS)

2 Geometry Nine Weeks Overview 1 st Quarter 2 nd Quarter 3 rd Quarter 4 th Quarter Unit 1 Logic G.1 Unit 2 Basic Definitions and Algebra G.3a Unit 3 Parallel Lines G.2 G.3b Unit 4 Triangles: Basics and Inequalities (continues into 2 nd quarter) G.5 Unit 4 Triangles: Basics and Inequalities, con t. G.5 Unit 5 Congruence and Similarity G.6 G.7 Unit 6 Special Right Triangles G.8 Unit 7 Right Triangle Trigonometry G.8 Unit 8 - Polygons G.9 G.10 Unit 9 Circles G.11 G blocks 21 blocks 21 blocks 22 blocks Unit 10 Area, Perimeter, and 3 Dimensional Figures G.13 G.14 Unit 11 Transformations and Constructions G.3 c, d G.4 After SOL Topics Factoring and Polynomial Division Graphing linear equations and inequalities in two variables Polynomial operations Simplifying radicals

3 Quarter 1: 21 blocks total Geometry Scope & Sequence Standard Reporting Category Topic Unit 1 Logic 5 G.1 Reasoning, Lines, and Transformations Logic Unit 2 Basic Definitions and Algebra 5 G.3 a Reasoning, Lines, and Transformations Investigating and using formulas for finding distance, midpoint, and slope Unit 3 Parallel Lines 5 G.2 Reasoning, Lines, and Parallel lines G.3 b Transformations Slope of parallel and perpendicular lines Unit 4 Triangles Basics and Inequalities (continued into Quarter 2) 4 G.5 Triangles Using real world situations to explore characteristics of triangles 2 Review and Assessments

4 Quarter 2: 21 blocks total Standard Reporting Category Topic Unit 4 Triangles Basics and Inequalities (continued from Quarter 1) 2 G.5 Triangles Using real world situations to explore characteristics of triangles Unit 5 Congruence and Similarity 6 G.6 Triangles Prove two triangles are congruent using algebraic and coordinate methods as well as deductive proofs. 8 G.7 Triangles Prove two triangles are similar using algebraic and coordinate methods as well as deductive proofs. Unit 6 Special Right Triangles 3 G.8 Triangles Solve real-world problems involving right triangles by using the Pythagorean Theorem and its converse and properties of special right triangles. 2 Review and Assessments

5 Quarter 3: 21 blocks total Standard Reporting Category Topic Unit 7 Right Triangle Trigonometry 4 G.8 Triangles Solve real-world problems involving right triangles by using the Pythagorean Theorem and its converse, properties of special right triangles, and right triangle trigonometry. Unit 8 Polygons 8 G.9 Polygons and Circles Verify characteristics of quadrilaterals and use properties of quadrilaterals to solve real-world problems. G.10 Solve real-world problems involving angles of polygons. Unit 9 Circles 8 G.11 Polygons and Circles Properties of circles, solve real-world problems involving properties of circles, and find arc lengths and areas of sectors in circles. G.12 Given the coordinates of the center of a circle and a point on the circle, write the equation of the circle. 1 Review and Assessments

6 Quarter 4: 22 blocks total Standard Reporting Category Topic Unit 10 Area, Perimeter, and 3 Dimensional Figures 4 G.13 Three-Dimensional Figures Solve real-world problems involving the surface area and volume of three-dimensional objects. G.14 compare ratios between side lengths, perimeters, areas, and volumes determine how the changes in one or more dimensions of an object affect the area and/or volume of the object determine how changes in the area and/or volume of an object affect one or more dimensions of the object solve real-world problems about similar geometric objects in two- or three-dimensions, Unit 11 Transformations and Constructions 4 G.3 c, d Reasoning, Lines, and investigate symmetry with respect to a line or a point Transformations using coordinate methods, determine whether a figure has been translated, reflected, rotated, or dilated G.4 Constructions construct and justify constructions After SOL Topics Factoring and Polynomial Division Graphing linear equations and inequalities in two variables Polynomial operations Simplifying radicals 7 Review and Assessments Additional information about the Standards of Learning can be found in the VDOE Curriculum Framework (click link below)