Geometry

All questions and comments about this curriculum should be directed to the North Carolina Department of Public Instruction.

Goal 1

Number and Operations - The learner will perform operations with real numbers to solve problems.

Objective 1.01

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

Objective 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.

Objective 1.03

Use length, area, and volume to model and solve problems involving probability.

Goal 2

Geometry and Measurement - The learner will use geometric and algebraic properties of figures to solve problems and write proofs.

Objective 2.01

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

Objective 2.02

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

Objective 2.03

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

• Triangles.
• Quadrilaterals.
• Other polygons.
• Circles

Objective 2.04

Develop and apply properties of solids to solve problems.

Goal 3

Algebra - The learner will transform geometric figures in the coordinate plane algebraically.

Objective 3.01

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

Objective 3.02

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