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Extra Examples
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Chapter 1 - Points, Lines, Planes, and Angles
Lesson 1 - Points, Lines, and Planes
Lesson 2 - Linear Measure and Precision
- spi.4.3.A
Lesson 3 - Distance and Midpoints
- spi.2.1.E
Lesson 4 - Angle Measure
Lesson 5 - Angle Relationships -
spi.3.2.E
Lesson 6 - Polygons
- spi.4.1.A, spi.4.1.B
Chapter 2 - Reasoning and Proof
Lesson 1 - Inductive Reasoning and Conjecture -
spi.2.1.A
Lesson 2 - Logic
Lesson 3 - Conditional Statements
Lesson 4 - Deductive Reasoning
Lesson 5 - Postulates and Paragraph Proofs
Lesson 6 - Algebraic Proof
Lesson 7 - Proving Segment Relationships
Lesson 8 - Proving Angle Relationships
- spi.3.2.
Chapter 3 - Parallel and Perpendicular Lines
Lesson 1 - Parallel Lines and Transversals
Lesson 2 - Angles and Parallel Lines
Lesson 3 - Slopes of Lines
- spi.2.1.C, spi.2.1.D,
spi.2.1.E
Lesson 4 - Equations of Lines
Lesson 5 - Proving Lines Parallel
Lesson 6 - Perpendiculars and Distance
Chapter 4 - Congruent Triangles
Lesson 1 - Classifying Triangles
- spi.3.2.A
Lesson 2 - Angles of Triangles
- spi.2.2.E , spi.3.2.A
Lesson 3 - Congruent Triangles
- spi.3.1.A, spi.3.2.A,
spi.3.2.C
Lesson 4 - Proving Congruence—SSS, SAS
- spi.3.1.A, spi.3.2.C,
spi.3.2.M
Lesson 5 - Proving Congruence—ASA, AAS
- spi.3.1.A, spi.3.2.C,
spi.3.2.M
Lesson 6 - Isosceles Triangles
- spi.3.1.A, spi.3.2.A
Lesson 7 - Triangles and Coordinate Proof
Chapter 5 - Relationships in Triangles
Lesson 1 - Bisectors, Medians, and Altitudes
- spi.3.2.J
Lesson 2 - Inequalities and Triangles
Lesson 3 - Indirect Proof
Lesson 4 - The Triangle Inequality
- spi.2.2.C
Lesson 5 - Inequalities Involving Two Triangles
Chapter 6 - Proportions and Similarity
Lesson 1 - Proportions
- spi.3.1.A
Lesson 2 - Similar Polygons
- spi.2.2.B, spi.3.1.A,
spi.3.2.C
Lesson 3 - Similar Triangles
- spi.3.1.A, spi.3.2.C
Lesson 4 - Parallel Lines and Proportional Parts
- spi.3.1.A
Lesson 5 - Parts of Similar Triangles
- spi.3.1.A, spi.3.2.C
Lesson 6 - Fractals and Self-Similarity
- spi.2.1.A
Chapter 7 - Right Triangles and Trigonometry
Lesson 1 - Geometric Mean
Lesson 2 - The Pythagorean Theorem and Its Converse
- spi.3.1.B, spi.3.2.N
Lesson 3 - Special Right Triangles
- spi.3.1.B, spi.3.2.G
Lesson 4 - Trigonometry
- spi.3.2.F
Lesson 5 - Angles of Elevation and Depression
- spi.3.1.B, spi.3.2.F
Lesson 6 - The Law of Sines
Lesson 7 - The Law of Cosines
Chapter 8 - Quadrilaterals
Lesson 1 - Angles of Polygons
- spi.3.2.I
Lesson 2 - Parallelograms
- spi.3.2.A, spi.3.2.H
Lesson 3 - Tests for Parallelograms
- spi.3.2.A, spi.3.2.H
Lesson 4 - Rectangles
- spi.3.2.H
Lesson 5 - Rhombi and Squares
- spi.3.2.H
Lesson 6 - Trapezoids
- spi.3.2.H
Lesson 7 - Coordinate Proof and Quadrilaterals
Chapter 9 - Transformations
Lesson 1 - Reflections
- spi.3.2.D
Lesson 2 - Translations
- spi.3.2.D
Lesson 3 - Rotations
- spi.3.2.D
Lesson 4 - Tessellations
- spi.2.1.A
Lesson 5 - Dilations
- spi.3.2.D
Lesson 6 - Vectors
Lesson 7 - Transformations with Matrices
Chapter 10 - Circles
Lesson 1 - Circles and Circumference
- spi.3.2.B, spi.3.3.A
Lesson 2 - Angles and Arcs
- spi.3.2.B, spi.3.3.A
Lesson 3 - Arcs and Chords
- spi.3.2.B, spi.3.3.A
Lesson 4 - Inscribed Angles
- spi.3.2.B
Lesson 5 - Tangents
- spi.3.3.A
Lesson 6 - Secants, Tangents, and Angle Measures
- spi.3.3.A
Lesson 7 - Special Segments in a Circle
Lesson 8 - Equations of Circles
- spi.2.3.A
Chapter 11 - Area and Volume
Lesson 1 - Areas of Parallelograms
- spi.3.2.L, spi.4.1.B
Lesson 2 - Areas of Triangles, Trapezoids, and Rhombi
- spi.3.2.L, spi.4.1.B
Lesson 3 - Areas of Regular Polygons and Circles
- spi.3.2.L
Lesson 4 - Areas of Irregular Figures
- spi.4.1.B
Lesson 5 - Geometric Probability
- spi.3.3.B, spi.5.1.A,
spi.5.2.A
Chapter 12 - Surface Area
Lesson 1 - Three-Dimensional Figures
Lesson 2 - Nets and Surface Area
- spi.3.2.K, spi.4.2.A
Lesson 3 - Surface Areas of Prisms
- spi.4.2.A
Lesson 4 - Surface Areas of Cylinders
- spi.4.2.A
Lesson 5 - Surface Areas of Pyramids
Lesson 6 - Surface Areas of Cones
Lesson 7 - Surface Areas of Spheres
Chapter 13 - Volume
Lesson 1 - Volumes of Prisms and Cylinders
- spi.4.2.A
Lesson 2 - Volumes of Pyramids and Cones
Lesson 3 - Volumes of Spheres
Lesson 4 - Congruent and Similar Solids
Lesson 5 - Coordinates in Space
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