Table of Contents

Chapter 0 Preparing for Geometry
 Converting Length: Metric Units
 Converting and Comparing Length: Customary Units
 Converting Capacity: Liters and Milliliters
 Converting and Comparing Capacity: Customary Units
 Converting and Comparing Mass: Metric Units
 Converting and Comparing Mass: Customary Units
 Converting between Metric and Customary Units of Length
 Converting between Metric and Customary Units of Capacity
 Converting between Metric and Customary Units of Mass
 Probability of Simple Events
 Writing and Evaluating Algebraic Expressions
 Evaluating HigherDegree Algebraic Expressions
 Addition and Subtraction of Algebraic Expressions
 Onestep Equations: Addition and Subtraction
 Onestep Equations: Multiplication and Division
 TwoStep Equations
 Multistep Inequalities
 Onestep Inequalities: Multiplication or Division
 Quadrants of the Coordinate Plane
 Solving Systems of Linear Equations Graphically
 Simplifying Radicals

Unit 1 Geometric Structure
 Points, Lines, and Planes in Space
 Measuring to the Nearest Inch
 Congruence of Line Segments
 Centimeters
 Distance and Midpoint on a Number Line
 Distance on the Coordinate Plane: Pythagorean Formula
 Midpoint on the Coordinate Plane
 Identifying Turns and Angles
 Measuring Angles
 Angle Relationships
 Polygons
 Perimeter of a Shape
 Convex and Concave Polygons
 Area of a Triangle
 Surface Areas of Rectangular Prism and Cubes
 Patterns and Conjecture
 Laws of Deductive Reasoning
 Parallel Lines and Transversals: Angle Relationships
 Linear Functions in Different Forms
 Equation of a Straight Line: Standard and Point–Slope Forms
 Slope of a Line through Two Points
 Equation of a Straight Line: Slope–Intercept Form

Unit 2 Congruence
 Types of Triangles: Angles and Sides
 Types of Triangles: Angles
 Applications on Congruent Triangles
 Congruence of Triangles: SSS, SAS, and RHS
 Congruence of Triangles: ASA and AAS
 Isosceles Triangles
 Equilateral Triangles
 Congruence of Polygons through Transformations
 Triangles on the Coordinate Plane
 Medians of Triangles
 Inequality in One Triangle: Angle–Side
 Inequality in One Triangle: Sides
 Interior Angles of a Polygon
 Exterior Angles of a Polygon
 Properties of Parallelograms
 Parallelograms on the Coordinate Plane
 Properties of Rectangles
 Perimeters of Rectangles and Squares
 Areas of Rectangles and Squares
 Hierarchy of Quadrilaterals
 Properties of Rhombuses
 Properties of Squares
 Properties of Kites

Unit 3 Similarity
 Proportions
 Equivalent Ratios
 Ratios of Geometric Figures
 Similar Polygons
 Applications of Similar Polygons
 Conditions for Similar Triangles
 Parallel Lines and Transversals: Proportional Parts
 Scale Drawings and Models
 Geometric Mean
 The Pythagorean Theorem
 The Converse of the Pythagorean Theorem
 Special Right Triangles
 Trigonometric Ratios of Special Triangles
 Trigonometric Ratios in Right Triangles
 Inverse Trigonometric Functions
 Right Triangle Trigonometry: Solve for an Angle
 Angles of Elevation and Depression
 Law of Cosines
 Applications on Sine and Cosine Laws
 Vector Operations in 2D
 Vector Fields
 Components of a Vector
 Reflections on the Coordinate Plane
 Reflections of Shapes
 Geometric Translations
 Translations on a Coordinate Plane
 Rotations about a Point
 Rotations on the Coordinate Plane
 Rotational Symmetry
 Lines of Symmetry
 Combining Transformations
 Dilation: Positive Scale Factors

Unit 4 Measurement
 Arc Lengths and Sectors
 Circumference of a Circle
 Measures of Arcs
 Central Angles in a Circle
 Special Segments in a Circle
 Perpendicular Bisector of a Chord
 Inscribed Angles in a Circle
 Angles of Tangency
 Tangents of a Circle
 Areas of Circular Segments
 Equation of a Circle
 Equation of a Circle Passing through Three Noncollinear Points
 Finding the Area of a Rhombus Using Diagonals
 Area of a Kite
 Area of a Circle
 Areas of Composite Figures
 Areas of Composite Polygons
 Areas of Regular Polygons
 Surface Areas of Prisms
 Volumes of Rectangular Prisms and Cubes
 Surface Areas of Cylinders
 Surface Areas of Pyramids
 Applications on the Pythagorean Theorem
 Volumes of Triangular Prisms
 Volumes of Composite Solids
 Volumes of Cylinders
 Volumes of Pyramids
 Volumes of Cones
 Volumes of Spheres
 Surface Areas of Spheres
 Introduction to Probability
 Using Permutations to Find Probability
 Using Combinations to Find Probability
 Geometric Probability
 Simulation Design
 Estimating Probability Using Simulations
 Mutually Exclusive Events