Integrated Math: Course 2: Volume 1

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1: Reasoning and Proof

1.1: Basic Constructions

 Segment and Angle Bisectors

1.3: Conditional Statements

 Biconditional Statements
 Conditional Statements

1.4: Biconditional Statements

 Biconditional Statements
 Conditional Statements

2: Proving Theorems About Lines and Angles

2.1: Lines and Angles

 Slope

2.2: Properties of Parallel Lines

 Constructing Congruent Segments and Angles
 Constructing Parallel and Perpendicular Lines
 Parallel, Intersecting, and Skew Lines

2.4: Parallel and Perpendicular Lines

 Constructing Congruent Segments and Angles
 Constructing Parallel and Perpendicular Lines
 Parallel, Intersecting, and Skew Lines

2.6: Constructing Parallel and Perpendicular Lines

 Constructing Congruent Segments and Angles
 Constructing Parallel and Perpendicular Lines
 Parallel, Intersecting, and Skew Lines

3: Congruent Triangles

3.1: Congruent Figures

 Constructing Congruent Segments and Angles

3.2: Triangle Congruence by SSS and SAS

 Congruence in Right Triangles
 Constructing Congruent Segments and Angles
 Proving Triangles Congruent

3.3: Triangle Congruence by ASA and AAS

 Congruence in Right Triangles
 Constructing Congruent Segments and Angles
 Proving Triangles Congruent

3.4: Using Corresponding Parts of Congruent Triangles

 Congruence in Right Triangles
 Proving Triangles Congruent
 Similar Figures

3.5: Isosceles and Equilateral Triangles

 Classifying Triangles
 Concurrent Lines, Medians, and Altitudes
 Isosceles and Equilateral Triangles
 Triangle Inequalities

3.6: Congruence in Right Triangles

 Congruence in Right Triangles
 Proving Triangles Congruent

3.7: Congruence in Overlapping Triangles

 Congruence in Right Triangles
 Constructing Congruent Segments and Angles
 Proving Triangles Congruent

3.8: Congruence Transformations

 Dilations
 Reflections
 Rotations, Reflections, and Translations
 Translations

4: Proving Theorems About Triangles

4.2: Perpendicular and Angle Bisectors

 Concurrent Lines, Medians, and Altitudes
 Constructing Parallel and Perpendicular Lines
 Segment and Angle Bisectors

4.3: Bisectors in Triangles

 Concurrent Lines, Medians, and Altitudes

4.4: Medians and Altitudes

 Concurrent Lines, Medians, and Altitudes
 Similarity in Right Triangles

4.6: Inequalities in One Triangle

 Triangle Inequalities

4.7: Inequalities in Two Triangles

 Triangle Inequalities

5: Proving Theorems About Quadrilaterals

5.1: The Polygon Angle-Sum Theorems

 Polygon Angle Sum
 Triangle Angle Sum

5.2: Properties of Parallelograms

 Classifying Quadrilaterals
 Parallelogram Conditions
 Special Parallelograms

5.3: Proving That a Quadrilateral is a Parallelogram

 Parallelogram Conditions
 Special Parallelograms

5.4: Properties of Rhombuses, Rectangles, and Squares

 Classifying Quadrilaterals
 Perimeter and Area of Rectangles
 Special Parallelograms

5.5: Conditions for Rhombuses, Rectangles, and Squares

 Area of Parallelograms
 Classifying Quadrilaterals
 Perimeter and Area of Rectangles
 Special Parallelograms
 Square Roots

5.6: Trapezoids and Kites

 Classifying Quadrilaterals

6: Similarity

6.1: Ratios and Proportions

 Beam to Moon (Ratios and Proportions)
 Perimeters and Areas of Similar Figures

6.2: Similar Polygons

 Perimeters and Areas of Similar Figures
 Similar Figures
 Similarity in Right Triangles

6.3: Proving Triangles Similar

 Similar Figures

6.4: Similarity in Right Triangles

 Pythagorean Theorem
 Pythagorean Theorem with a Geoboard
 Similarity in Right Triangles

6.6: Dilations

 Dilations

6.7: Similarity Transformations

 Circles
 Dilations

7: Right Triangles and Trigonometry

7.1: The Pythagorean Theorem and Its Converse

 Circles
 Distance Formula
 Pythagorean Theorem
 Pythagorean Theorem with a Geoboard
 Surface and Lateral Areas of Pyramids and Cones

7.3: Trigonometry

 Sine, Cosine, and Tangent Ratios

7.4: Angles of Elevation and Depression

 Sine, Cosine, and Tangent Ratios

7.5: Areas of Regular Polygons

 Area of Triangles

8: Circles

8.1: Circles and Arcs

 Chords and Arcs
 Circles
 Inscribed Angles

8.2: Areas of Circles and Sectors

 Circumference and Area of Circles

8.4: Chords and Arcs

 Chords and Arcs
 Inscribed Angles

8.5: Inscribed Angles

 Circumference and Area of Circles
 Inscribed Angles

8.6: Angle Measures and Segment Length

 Inscribed Angles

Content correlation last revised: 2/2/2016