1. Basics of Geometry
1.1. Patterns and Inductive Reasoning
Finding Patterns
1.2. Points, Lines, and Planes
Investigating Parallel Lines and Planes
1.7. Introduction to Perimeter, Circumference, and Area
Circle: Perimeter, Circumference and Area
Rectangle: Perimeter, Circumference and Area
2. Reasoning and Proof
2.1. Conditional Statements
Conditional Statement
2.2. Definitions and Biconditional Statements
Biconditional Statement
2.3. Deductive Reasoning
Conditional Statement
Biconditional Statement
2.5. Proving Statements about Segments
Constructing Congruent Segments and Angles
2.6. Proving Statements about Angles
Investigating Angle Theorems - Activity B
3. Perpendicular and Parallel Lines
3.1. Lines and Angles
Construct Parallel and Perpendicular Lines
Investigating Parallel Lines and Planes
3.5. Using Properties of Parallel Lines
Constructing Congruent Segments and Angles
Construct Parallel and Perpendicular Lines
4. Congruent Triangles
4.1. Triangles and Angles
Classifying Triangles
Triangle Angle Sum - Activity B
4.3. Proving Triangles are Congruent: SSS and SAS
Proving Triangles Congruent
4.4. Proving Triangles are Congruent: ASA and AAS
Proving Triangles Congruent
4.6. Isosceles, Equilateral, and Right Triangles
Isosceles and Equilateral Triangles
Congruence in Right Triangles
5. Properties of Triangles
5.1. Perpendiculars and Bisectors
Construct Parallel and Perpendicular Lines
Concurrent Lines, Medians, and Altitudes
5.2. Bisectors of a Triangle
Concurrent Lines, Medians, and Altitudes
Bisectors in Triangles
5.3. Medians and Altitudes of a Triangle
Concurrent Lines, Medians, and Altitudes
5.5. Inequalities in One Triangle
Triangle Inequalities
6. Quadrilaterals
6.1. Polygons
Polygon Angle Sum - Activity B
6.2. Properties of Parallelograms
Parallelogram Conditions
6.3. Proving Quadrilaterals are Parallelograms
Parallelogram Conditions
6.4. Rhombuses, Rectangles, and Squares
Classifying Quadrilaterals - Activity B
6.5. Trapezoids and Kites
Classifying Quadrilaterals - Activity B
6.6. Special Quadrilaterals
Special Quadrilaterals
6.7. Areas of Triangles and Quadrilaterals
Area of Parallelograms - Activity B
7. Transformations
7.1. Rigid Motion in a Plane
Rotations, Reflections and Translations
7.2. Reflections
Rotations, Reflections and Translations
7.3. Rotations
Rotations, Reflections and Translations
7.4. Translations and Vectors
Translations
7.5. Glide Reflections and Compositions
Rotations, Reflections and Translations
8. Similarity
8.1. Ratio and Proportion
Part:Part and Part:Whole Ratios
8.2. Problem Solving in Geometry with Proportions
Beam to Moon (Ratios and Proportions)
8.3. Similar Polygons
Similar Polygons
8.4. Similar Triangles
Perimeters and Areas of Similar Figures
8.5. Proving Triangles are Similar
Perimeters and Areas of Similar Figures
8.6. Proportions and Similar Triangles
Perimeters and Areas of Similar Figures
8.7. Dilations
Dilations
9. Right Triangles and Trigonometry
9.1. Similar Right Triangles
Similarity in Right Triangles
9.2. The Pythagorean Theorem
Pythagorean Theorem - Activity B
9.3. The Converse of the Pythagorean Theorem
Pythagorean Theorem - Activity B
9.5. Trigonometric Ratios
Sine, Cosine and Tangent
9.6. Solving Right Triangles
Sine and Cosine Ratios - Activity B
9.7. Vectors
Adding Vectors
10. Circles
10.2. Arcs and Chords
Chords and Arcs
10.3. Inscribed Angles
Inscribing Angles
10.6. Equations of Circles
Circles
11. Area of Polygons and Circles
11.1. Angle Measures in Polygons
Polygon Angle Sum - Activity B
11.3. Perimeters and Areas of Similar Figures
Perimeters and Areas of Similar Figures
11.4. Circumference and Arc Length
Circle: Perimeter, Circumference and Area
Chords and Arcs
11.6. Geometric Probability
Geometric Probability - Activity A
12. Surface Area and Volume
12.2. Surface Area of Prisms and Cylinders
Surface and Lateral Area of Prisms and Cylinders
12.3. Surface Area of Pyramids and Cones
Surface and Lateral Area of Pyramids and Cones
12.4. Volume of Prisms and Cylinders
Prisms and Cylinders - Activity B
12.5. Volume of Pyramids and Cones
Pyramids and Cones - Activity B