Math – Liberal Arts Math 2

Chapter 1 - Functions and Exponents

Lesson 1-1 – Absolute Value Functions

Lesson 1-5 – Radicals and Rational Exponents

Lesson 1-2 – Piecewise Functions                                              .

Lesson 1-6 – Exponential Functions

Lesson 1-3 – Inverse Functions

Lesson 1-4 – Properties of Exponents

Chapter 2 - Polynomial Equations and Factoring

Lesson 2-1 – Adding and Subtracting Polynomials

Lesson 2-5 – Factoring when a=1

Lesson 2-2 – Multiplying Polynomials

Lesson 2-6 – Factoring when a>1

Lesson 2-3 – Special Products of Polynomials

Lesson 2-7 – Factoring Special Products

Lesson 2-4 – Solving Polynomials Equations in Factored Form

Lesson 2-8 – Factoring Completely

Chapter 3 - Graphing Quadratic Functions

Lesson 3-1 – Graphing f(x)= ax^2                          .

Lesson 3-5 – Graphing f(x) = a(x – p)(x – q)

Lesson 3-2 – Graphing f(x)= ax^2 + c

Lesson 3-6 – Focus of a Parabola

Lesson 3-3 – Graphing f(x)= ax^2 + bx + c

Lesson 3-7 – Comparing Linear, Exponential, and Quadratic Functions

Lesson 3-4 – Graphing f(x) = a(x – h)^2 + k

Chapter 4 - Solving Quadratic Equations

Lesson 4-1 – Properties of Radicals          .

Lesson 4-5 – Solving Quadratic Equations Using the Quadratic Formula

Lesson 4-9 – Quadratic Inequalities

Lesson 4-2 – Solving Quadratic Equations by Graphing

Lesson 4-6 – Complex Numbers

Lesson 4-3 – Solving Quadratic Equations Using Square Roots

Lesson 4-7 – Solving Quadratic Equations with Complex Solutions

Lesson 4-4 – Solving Quadratic Equations by Completing the Square

Lesson 4-8 – Solving Nonlinear Systems of Equations

Chapter 5 - Probability

Lesson 5-1 – Sample Spaces and Probability

Lesson 5-5 – Permutations and Combinations

Lesson 5-2 – Independent and Dependent Events

Lesson 5-6 – Binomial Distributions

Lesson 5-3 – Two-Way Tables and Probability

Lesson 5-4 – Probability of Disjoint and Overlapping Events

Chapter 6 - Relationships with Triangles

Lesson 6-1 – Proving Geometric Relationships

Lesson 6-5 – The Triangle Midsegment Theorem

Lesson 6-2 – Perpendicular and Angle Bisectors

Lesson 6-6 – Indirect Proof and Inequalities in One Triangle

Lesson 6-3 – Bisectors of Triangles

Lesson 6-7 – Inequalities in Two Triangles

Lesson 6-4 – Medians and Altitudes of Triangles

Chapter 7 - Quadrilaterals and Other Polygons

Lesson 7-1 – Angles of Polygons

Lesson 7-5 – Properties of Trapezoids and Kites

Lesson 7-2 – Properties of Parallelograms

Lesson 7-3 – Proving that a Quadrilateral is a Parallelogram

Lesson 7-4 – Properties of Special Parallelograms

Chapter 8 - Similarity

Lesson 8-1 – Dilations

Lesson 8-5 – Proving Triangle Similarity by SSS and SAS

Lesson 8-2 – Similarity and Transformations

Lesson 8-6 – Proportionality Theorems

Lesson 8-3 – Similar Polygons

Lesson 8-4 – Proving Triangle Similarity by AA

Chapter 9 - Right Triangles and Trigonometry

Lesson 9-1 – The Pythagorean Theorem

Lesson 9-5 – The Sine and Cosine Ratios

Lesson 9-2 – Special Right Triangles

Lesson 9-6 – Solving Right Triangles

Lesson 9-3 – Similar Right Triangles

Lesson 9-4 – The Tangent Ratio

Chapter 10 - Circles

Lesson 10-1 – Lines and Segments that Intersect Circles

Lesson 10-5 – Angle Relationships in Circles

Lesson 10-2 – Finding Arc Measures

Lesson 10-6 – Segment Relationships in Circles

Lesson 10-3 – Using Chords

Lesson 10-7 – Circles in the Coordinate Plane

Lesson 10-4 – Inscribed Angles and Polygons

Chapter 11 - Circumference, Area, and Volume

Lesson 11-1 – Circumference and Arc Length

Lesson 11-5 – Volume of Pyramids

Lesson 11-2 – Area of Circles and Sectors

Lesson 11-6 – Surface Area and Volume of Cones

Lesson 11-3 – Areas of Polygons

Lesson 11-7 – Surface Area and Volume of Spheres

Lesson 11-4 – Volumes of Prisms and Cylinders