Geometry: A Common Core Edition

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1: Preparing for Geometry

1.1: Changing Units of Measure Within Systems

 Unit Conversions

1.2: Changing Units of Measure Between Systems

 Unit Conversions

1.3: Simple Probability

 Theoretical and Experimental Probability

1.4: Algebraic Expressions

 Compound Interest
 Simplifying Algebraic Expressions I
 Simplifying Algebraic Expressions II
 Solving Equations on the Number Line
 Using Algebraic Equations
 Using Algebraic Expressions

1.5: Linear Equations

 Absolute Value with Linear Functions
 Linear Functions
 Modeling and Solving Two-Step Equations
 Point-Slope Form of a Line
 Solving Equations by Graphing Each Side
 Standard Form of a Line

1.6: Linear Inequalities

 Exploring Linear Inequalities in One Variable
 Linear Inequalities in Two Variables
 Systems of Linear Inequalities (Slope-intercept form)

1.7: Ordered Pairs

 Function Machines 2 (Functions, Tables, and Graphs)
 Linear Functions
 Point-Slope Form of a Line
 Points in the Coordinate Plane
 Points, Lines, and Equations
 Slope

1.8: Systems of Linear Equations

 Cat and Mouse (Modeling with Linear Systems)
 Solving Equations by Graphing Each Side
 Solving Linear Systems (Matrices and Special Solutions)
 Solving Linear Systems (Slope-Intercept Form)
 Solving Linear Systems (Standard Form)

1.9: Square Roots and Simplifying Radicals

 Operations with Radical Expressions
 Simplifying Radical Expressions
 Square Roots

2: Tools of Geometry

2.1: Points, Lines and Planes

 Function Machines 2 (Functions, Tables, and Graphs)
 Function Machines 3 (Functions and Problem Solving)
 Parallel, Intersecting, and Skew Lines
 Points in the Coordinate Plane
 Slope

2.4: Angle Measure

 Triangle Angle Sum

2.5: Angle Relationships

 Investigating Angle Theorems
 Triangle Angle Sum

2.6: Two-Dimensional Figures

 Classifying Quadrilaterals

3: Reasoning and Proof

3.2: Logic

 Biconditional Statements
 Conditional Statements

3.3: Conditional Statements

 Biconditional Statements
 Conditional Statements

3.8: Proving Angle Relationships

 Investigating Angle Theorems
 Triangle Angle Sum

4: Parallel and Perpendicular Lines

4.1: Parallel Lines and Transversals

 Constructing Congruent Segments and Angles

4.3: Slopes of Lines

 Cat and Mouse (Modeling with Linear Systems)
 Distance-Time and Velocity-Time Graphs
 Point-Slope Form of a Line
 Slope
 Slope-Intercept Form of a Line

4.4: Equations of Lines

 Point-Slope Form of a Line
 Points, Lines, and Equations
 Slope-Intercept Form of a Line
 Standard Form of a Line

4.5: Proving Lines Parallel

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

5: Congruent Triangles

5.1: Classifying Triangles

 Classifying Triangles

5.2: Angles of Triangles

 Concurrent Lines, Medians, and Altitudes
 Isosceles and Equilateral Triangles
 Triangle Angle Sum
 Triangle Inequalities

5.3: Congruent Triangles

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

5.4: Proving Triangles Congruent – SSS, SAS

 Congruence in Right Triangles
 Proving Triangles Congruent

5.5: Proving Triangles Congruent – ASA, AAS

 Congruence in Right Triangles
 Proving Triangles Congruent

5.6: Isosceles and Equilateral Triangles

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

5.7: Congruence Transformations

 Dilations
 Reflections
 Rotations, Reflections, and Translations
 Translations

6: Relationships in Triangles

6.1: Bisectors of Triangles

 Concurrent Lines, Medians, and Altitudes

6.2: Medians and Altitudes of Triangles

 Concurrent Lines, Medians, and Altitudes
 Similarity in Right Triangles

6.5: The Triangle Inequality

 Triangle Inequalities

7: Quadrilaterals

7.1: Angles of Polygons

 Polygon Angle Sum

7.2: Parallelograms

 Area of Parallelograms
 Classifying Quadrilaterals
 Parallelogram Conditions
 Special Parallelograms

7.3: Tests for Parallelograms

 Classifying Quadrilaterals
 Parallelogram Conditions
 Special Parallelograms

7.4: Rectangles

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

7.5: Rhombi and Squares

 Classifying Quadrilaterals
 Perimeter and Area of Rectangles
 Special Parallelograms
 Square Roots

7.6: Trapezoids and Kites

 Classifying Quadrilaterals

8: Proportions and Similarity

8.1: Rations and Proportions

 Beam to Moon (Ratios and Proportions)
 Direct and Inverse Variation
 Geometric Probability
 Part-to-part and Part-to-whole Ratios

8.2: Similar Polygons

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

8.3: Similar Triangles

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

8.5: Parts of Similar Triangles

 Similarity in Right Triangles

8.6: Similarity Transformations

 Circles
 Dilations

8.7: Scale Drawings and Models

 Dilations

9: Right Triangles and Trigonometry

9.1: Geometric Mean

 Geometric Sequences
 Similarity in Right Triangles

9.2: The Pythagorean Theorem and Its Converse

 Circles
 Cosine Function
 Distance Formula
 Pythagorean Theorem
 Pythagorean Theorem with a Geoboard
 Sine Function
 Surface and Lateral Areas of Pyramids and Cones
 Tangent Function

9.3: Special Right Triangles

 Cosine Function
 Sine Function
 Tangent Function

9.4: Trigonometry

 Sine, Cosine, and Tangent Ratios

9.5: Angles of Elevation and Depression

 Sine, Cosine, and Tangent Ratios

9.7: Vectors

 Adding Vectors
 Vectors

10: Transformations and Symmetry

10.1: Reflections

 Absolute Value with Linear Functions
 Holiday Snowflake Designer
 Reflections
 Rotations, Reflections, and Translations

10.2: Translations

 Absolute Value with Linear Functions
 Rotations, Reflections, and Translations
 Translations

10.3: Rotations

 Rotations, Reflections, and Translations
 Similar Figures

10.5: Symmetry

 Holiday Snowflake Designer

10.6: Dilations

 Dilations

11: Circles

11.1: Circles and Circumference

 Chords and Arcs
 Circles
 Circumference and Area of Circles
 Inscribed Angles

11.2: Measuring Angles and Arcs

 Inscribed Angles

11.3: Arcs and Chords

 Chords and Arcs
 Inscribed Angles

11.4: Inscribed Angles

 Circumference and Area of Circles
 Inscribed Angles

11.8: Equations of Circles

 Circles

12: Areas of Polygons and Circles

12.1: Areas of Parallelograms and Triangles

 Area of Parallelograms
 Area of Triangles
 Perimeter and Area of Rectangles
 Perimeters and Areas of Similar Figures

12.3: Areas of Circles and Sectors

 Circumference and Area of Circles

12.4: Areas of Regular Polygons and Composite Figures

 Area of Triangles

12.5: Areas of Similar Figures

 Perimeters and Areas of Similar Figures

13: Extending Surface Area and Volume

13.1: Representations of Three-Dimensional Figures

 Surface and Lateral Areas of Prisms and Cylinders
 Surface and Lateral Areas of Pyramids and Cones

13.2: Surface Areas of Prisms and Cylinders

 Surface and Lateral Areas of Prisms and Cylinders

13.3: Surface Areas of Pyramids and Cones

 Surface and Lateral Areas of Prisms and Cylinders
 Surface and Lateral Areas of Pyramids and Cones

13.4: Volumes of Prims and Cylinders

 Prisms and Cylinders
 Pyramids and Cones

13.5: Volumes of Pyramids and Cones

 Pyramids and Cones

14: Probability and Measurement

14.2: Probability with Permutations and Combinations

 Binomial Probabilities
 Permutations and Combinations

14.3: Geometric Probability

 Geometric Probability

14.5: Probabilities of Independent and Dependent Events

 Independent and Dependent Events
 Theoretical and Experimental Probability

14.6: Probabilities of Mutually Exclusive Events

 Probability Simulations

Content correlation last revised: 8/22/2016