STANDARD COURSE OF STUDY

MATHEMATICS :: 2003 :: TO BE IMPLEMENTED 9-12 :: GEOMETRY

GEOMETRY

High School Grades

Geometry continues students’ study of geometric concepts building upon middle school topics. Students will move from an inductive approach to deductive methods of proof in their study of two- and three-dimensional geometric figures. Reasoning skills will be emphasized and students will broaden their use of the coordinate plane. Appropriate technology, from manipulatives to calculators and graphics software, should be used regularly for instruction and assessment.

Prerequisites

  • Apply geometric properties and relationships to solve problems.
  • Use formulas to solve problems.
  • Define and use linear expressions to model and solve problems.
  • Operate with matrices to model and solve problems.


Number and Operations
Competency Goal 1 The learner will perform operations with real numbers to solve problems.
  Objectives

1.01 Use the trigonometric ratios to model and solve problems involving right triangles.

1.02 Use length, area, and volume of geometric figures to solve problems. Include arc length, area of sectors of circles; lateral area, surface area, and volume of three-dimensional figures; and perimeter, area, and volume of composite figures.

1.03 Use length, area, and volume to model and solve problems involving probability.
Geometry and Measurement
Competency Goal 2 The learner will use geometric and algebraic properties of figures to solve problems and write proofs.
  Objectives

2.01 Use logic and deductive reasoning to draw conclusions and solve problems.

2.02 Apply properties, definitions, and theorems of angles and lines to solve problems and write proofs.

2.03 Apply properties, definitions, and theorems of two-dimensional figures to solve problems and write proofs:

  1. Triangles.
  2. Quadrilaterals.
  3. Other polygons.
  4. Circles.
2.04 Develop and apply properties of solids to solve problems.
Data Analysis and Probability
Competency Goal 3 The learner will transform geometric figures in the coordinate planealgebraically.
  Objectives

3.01 Describe the transformation (translation, reflection, rotation, dilation) of polygons in the coordinate plane in simple algebraic terms.

3.02 Use matrix operations (addition, subtraction, multiplication, scalar multiplication) to describe the transformation of polygons in the coordinate plane.

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