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
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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
- 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
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