 ## UNIT 1: LINES AND ANGLES

Lesson 1.1 - Lines

• Points and lines
• Rays and line segments
• Shapes made from points, lines, surfaces, and solids

Lesson 1.2 - Measuring Angles

• Angles
• How to measure angles
• Angle rotation and degrees
• Angle quarter turn; angle half turn; angle full turn
• Angle vertex
• Angle symbols
• Size of angles

Lesson 1.3 - Types of Angles

• Types of angles
• Straight and right angles
• Acute and obtuse angles
• Reflex angles
• Supplementary angles
• Complementary angles

## UNIT 2: INTERSECTIONS AND PARALLELS

Lesson 2.1 - Intersecting Lines

• Intersecting lines and opposite angles
• The Opposite Angle Theorem
• Perpendicular lines
• Mathematical theorems and proof of a theorem

Lesson 2.2 - Equal Angles

• Parallel lines
• Transversals
• Parallel lines and alternate angles
• The Alternate Angle Theorem
• Parallel lines and corresponding angles
• The Corresponding Angle Theorem

Lesson 2.3 - Supplementary Angles

• Parallel lines and supplementary angles
• Parallel lines and interior angles
• The Interior Angle Theorem

Lesson 2.4 - Angle Problem Solving

• Solving for missing angles with intersecting lines
• Solving for missing angles with parallel lines and transversals
• Applying angle theorems to solve for missing angles

## UNIT 3: TRIANGLES

Lesson 3.1 - Triangles

• The properties of triangles
• Vertices and interior angles in triangles
• Acute triangles
• Right triangles
• Obtuse triangles
• Use of a compass to draw arcs

Lesson 3.2 - Special Triangles

• Equilateral triangles
• Isosceles triangles
• Scalene triangles
• Size of interior angles vs. side of length
• The Isosceles Triangle Theorem

Lesson 3.3 - Triangle Angle Sum Theorem

• Proof of the Triangle Angle Sum Theorem
• Interior angles of triangles

Lesson 3.4 - Exterior Angle Sum Theorem

• Exterior Angle Sum Theorem
• Proof of Exterior Angle Sum Theorem

Lesson 3.5 - Triangle Problem Solving

• Learn how to solve for missing angles using
• Triangle theorems and angle facts

Lesson 3.6 - Pythagorean Theorem

• The hypotenuse of a right triangle
• The Pythagorean Theorem

## UNIT 4: PLANE SHAPES

• Plane shapes
• Squares, rhombi, parallelograms, and trapezoids

Lesson 4.2 - Polygons

• Names of common polygons
• Properties of polygons
• Polygons, pentagons, hexagons, heptagons, octagons, nonagons, and decagons

Lesson 4.3 - Regular Polygons

• Properties of regular polygons

Lesson 4.4 - Circles

• The parts of a circle
• Using a compass to draw a circle or draw arcs

Lesson 4.5 - Ellipses

• Parts of an ellipse
• Elliptical shapes
• Lines of symmetry in ellipses

## UNIT 5: CONSTRUCTIONS

Lesson 5.1 - Angle Bisectors

• Construct an angle bisector

Lesson 5.2 - Perpendiculars from a Line

• Construct a perpendicular from a line

Lesson 5.3 - Perpendiculars to a Line

• Construct a perpendicular to a line

Lesson 5.4 - Right Bisectors

• Construct right bisectors

Lesson 5.5 - The Circumcircle

• Circumcircles
• Find a circumcenter
• Construction of a circumcircle

Lesson 5.6 - The Incircle

• Incircles
• Construction of an incircle

Lesson 5.7 - Parallel Lines

• Construction of parallel lines
• Using a compass

## UNIT 6: TRANSFORMATION OF SHAPES

Lesson 6.1 - Congruency

• The properties of congruent shapes

Lesson 6.2 - Translations

• Translations of shapes
• Pre-image and translated image

Lesson 6.3 - Reflections

• Properties of reflected shapes
• Mirror and reflected image
• Pre-image and reflected image

Lesson 6.4 - Rotations

• Rotation of shapes
• Pre-image and rotated image
• Center of rotation

Lesson 6.5 - Magnifications

• Magnification and dilation of shapes
• Magnification factor; scaling shapes; image; pre-image

## UNIT 7: USES OF TRANSFORMATIONS

Lesson 7.1 - Similarity

• The properties of similar shapes

Lesson 7.2 - Reflective Symmetry

• Reflective symmetry
• Axis of symmetry and reflected shapes

Lesson 7.3 - Rotational Symmetry

• Rotational symmetry
• Center of rotational symmetry

Lesson 7.4 - Tessellations I

• The tessellation or tiling of shapes
• The properties of tessellated or tiled shapes
• Interior angles of tessellated polygons

Lesson 7.5 - Tessellations Ii

• The tessellation of parallelograms and distorted parallelograms
• Tessellated polygons

## UNIT 8: SOLID SHAPES

Lesson 8.1 - Cubes, Prisms, Pyramids

• Polyhedra
• The properties of cube shapes
• The properties of prism shapes
• The properties of pyramid shapes

Lesson 8.2 - Cylinders, Cones, Spheres

• The properties of cylinder shapes
• The properties of cone shapes
• The construction of sphere shapes

Lesson 8.3 - Constructing Solid Shapes

• The construction of solid shapes
• Nets of solid shapes
• Three dimensional shapes

## APPENDICIES

• Appendix A - Glossary
• Appendix B - Geometry Facts and Theorems