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
Lesson 4.1  Quadrilaterals
 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
 Incircle and inradius
 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
 Preimage and translated image
Lesson 6.3  Reflections
 Properties of reflected shapes
 Mirror and reflected image
 Preimage and reflected image
Lesson 6.4  Rotations
 Rotation of shapes
 Preimage and rotated image
 Center of rotation
Lesson 6.5  Magnifications
 Magnification and dilation of shapes
 Magnification factor; scaling shapes; image; preimage
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
