MATHS-K12-CLASS-10

Grade 10

Geometry

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This course introduces the student to the deductive method of proof with the use of points, lines, and planes. Solid geometry is integrated with plane geometry to lead the student to consideration of two-and three-dimensional figures and to develop the ability to visualize space relationships. Students who successfully complete this course with a grade of “C” or higher should be prepared for Algebra II.

This Course Covers The Following Geometry Concepts:

CONGRUENCE

Experiment with transformations in the plane

Understand congruence in terms of rigid motions

Prove geometric theorems

Make geometric constructions

SIMILARITY, RIGHT TRIANGLES & TRIGONOMETRY

Understand similarity in terms of similarity transformations Prove theorems involving similarity

Define trigonometric ratios and solve problems involving right triangles

Apply trigonometry to general triangles CIRCLES

Understand and apply theorems about circles

Find arc lengths and areas of sectors of circles

EXPRESSING GEOMETRIC PROPERTIES WITH EQUATIONS

Translate between the geometric description and the equation for a conic section

Use coordinates to prove simple geometric theorems algebraically

GEOMETRIC MEASUREMENT & DIMENSION

Explain volume formulas and use them to solve problems

Visualize relationships between two-dimensional and three-dimensional objects

MODELING WITH GEOMETRY

Apply geometric concepts in modeling situations

Course Outline

Introduction

Course Description

Completing Math Assessments

Pretest

Assignment: Pretest

MLA Formatting Word 2007

MLA Documentation Updates

MLA Citation

MLA Incorporating Sources

The Geometry Toolkit

Where’s the Logic?

Where’s the Proof?

Investigating Lines

Investigating Triangles

More Triangle Investigations

Mid-Term Exam

Investigating Quadrilaterals

Can You See the Similarities?

Right Triangle Trigonometry

Investigating Circles

Perimeter & Area

Surface Area & Volume

Transformations

Final Exam

Course Survey