Geometry

Geometry continues students' study of geometric concepts by building upon middle school topics. Students will move from an inductive approach to deductive methods of proof in their study of geometric figures. Two-and three-dimensional reasoning skills will be emphasized and students will broaden their use of the coordinate plane to include transformations of geometric figures. Appropriate technology, from manipulatives to calculators and graphics software, will be used as necessary to enhance instruction.

This High School Course is also offered as part of the College Prep Online Diploma program.

Credits: 1 Unit

Course ID: MAV10

Course Area: Math

Course Type: College Prep

Study Method: Online

Course Outline:

Module 1: Lines and Angles

Unit 1: Points, Lines, Planes and Angles

Lesson 1: Points, lines and planes

Lesson 2: Linear measure

Lesson 3: Distance and midpoint

Lesson 4: Rays, angles and angle measures

Lesson 5: Angle pairs

Lesson 6: Polygons

Unit 2: Reasoning and Proofs

Lesson 1: Induction reasoning

Lesson 2: Logic

Lesson 3: Conditional statements

Lesson 4: Deduction reasoning

Lesson 5: Introduction to proofs

Lesson 6: Formal proofs

Lesson 7: Segment proofs

Lesson 8: Angle proofs

Unit 3: Parallel and Perpendicular Lines

Lesson 1: Parallel lines and transversals

Lesson 2: Angles and transversals

Lesson 3: Slope

Lesson 4: Equations of lines

Lesson 5: Proving lines parallel

Module 2: Triangles

Unit 1: Congruent Triangles

Lesson 1: Classifying triangles

Lesson 2: Angles of triangles

Lesson 3: Congruent triangles

Lesson 4: Proving congruence

Lesson 5: Proving congruence II

Unit 2: Relationships in Triangles

Lesson 1: Special segments in triangles

Lesson 2: Inequalities and triangles

Lesson 3: Indirect proof

Lesson 4: Triangle inequality

Lesson 5: Inequalities with two triangles

Unit 3: Proportions and Similarities

Lesson 1: Proportions

Lesson 2: Similar polygons

Lesson 3: Similar triangles

Lesson 4: Parallel lines and proportional parts

Lesson 5: Parts of similar triangles

Unit 4: Right Triangles and Trigonometry

Lesson 1: Geometric mean

Lesson 2: The Pythagorean theorem

Lesson 3: Special right triangles

Lesson 4: Trigonometry

Lesson 5: Angles of elevation and depression

Lesson 6: Law of sines

Lesson 7: Law of cosines

MODULE 3: Quadrilaterals and Circles

Unit 1: Quadrilaterals

Lesson 1: Angles of polygons

Lesson 2: Translations

Lesson 3: Tests for parallelograms

Lesson 4: Tessellations

Lesson 5: Rhombi and squares

Lesson 6: Trapezoids

Unit 2: Transformations

Lesson 1: Reflections

Lesson 2: Translations

Lesson 3: Rotations

Lesson 4: Tessellations

Lesson 5: Dilations

Lesson 6: Vectors

Unit 3: Circles

Lesson 1: Circles and circumferences

Lesson 2: Angles and arcs

Lesson 3: Arcs and chords

Lesson 4: Inscribed angles

Lesson 5: Tangents

Lesson 6: Secants

Lesson 7: Special segments

MODULE 4: Area and Volume

Unit 1: Areas of Polygons and Circles

Lesson 1: Areas of parallelograms

Lesson 2: Areas of triangles, trapezoids and rhombi

Lesson 3: Areas of polygons and circles

Lesson 4: Areas of irregular figures

Unit 2: Surface Area

Lesson 1: Three-dimensional figures

Lesson 2: Nets and surface area

Lesson 3: Surface areas of prisms

Lesson 4: Surface area of cylinders

Lesson 5: Surface area of pyramids

Lesson 6: Surface area of cones

Lesson 7: Surface area of spheres

Unit 3: Volume

Lesson 1: Volumes of cylinders and prisms

Lesson 2: Volumes of pyramids and cones

Lesson 3: Congruent and similar solids

Items Provided by Students:

• Scientific Calculator
• Graph Paper
• Straight edge (commonly called a ruler)
• Protractor
• Drawing Compass