## Algebra II Core
Text: UCSMP Advanced Algebra, 2nd edition, copyright 1998
A TI-83 plus or TI-84 plus graphing calculator is recommended for this course. 1st SemesterChapter 1 Functions1-1 The Language of Algebra 1-2 What is a Function? Extra lesson on Number Systems 1-3 Function Notation 1-4 Graphs of Functions 1-5 Solving Equations 1-6 Rewriting Formulas Chapter 3 - Linear Functions3-1 Constant-Increase or Constant-Decrease Situations 3-2 The Graph of y=mx+b 3-3 Linear Combinations 3-4 The Graph of Ax + By = C 3-5 Finding an Equation of a Line 3-6 Fitting a Line to Data Height & Shoe Size Activity 3-7 Recursive Formulas for Arithmetic Sequences 3-8 Explicit Formulas for Arithmetic Sequences 3-9 Step Functions Chapter 6 - Quadratic Functions6-1 Quadratic Expressions, Rectangles, & Squares 6-2 Absolute Value, Square Roots, & Quadratic Equations 6-3 The Graph-Translation Theorem 6-4 Graphing y = ax^2 + bx + c 6-5 Completing the Square 6-6 Fitting a Quadratic Model to Data (using graphing calculator) 6-7 The Quadratic Formula 6-8 Imaginary Numbers 6-9 Complex Numbers 6-10 Analyzing Solutions to Quadratic Equations Chapter 7 - Powers7-1 Power Functions 7-2 Properties of Powers 7-3 Negative Integer Exponents 7-4 Compound Interest 7-5 Geometric Sequences 7-6 nth Roots Chapter 8 - Inverses & Radicals8-2 Inverses of Relations 8-3 Properties of Inverse Functions 8-4 Radical Notation for nth Roots 8-5 Products with Radicals 8-8 Solving Equations with Radicals |
2nd SemesterChapter 10 - TrigonometryPart 110-1 Three Trigonometric Functions 10-2 More Right-Triangle Trigonometry 10-3 Proportions of Trigonometric Rations 10-6 The Law of Cosines 10-7 The Law of Sines Part 210-4 Trigonometry & the Unit Circle 10-5 Cosines & Sines in Quadrants II-IV 10-8 The Cosine & Sine Functions 10-9 Solving sin 0 = k 10-10 Radian Measure Chapter 9 - Exponential & Logarithmic Functions9-1 Exponential Growth 9-2 Exponential Decay 9-3 Continuous Growth or Decay 9-4 Fitting Exponential Models to Data 9-5 Common Logarithms 9-6 Logarithmic Scales 9-7 Logarithms to Bases Other than 10 9-8 Properties of Logarithms 9-9 Natural Logarithms 9-10 Using Logarithms to Solve Exponential Equations Chapter 5 - Systems5-2 Solving Systems Using Tables or Graphs 5-3 Solving Systems by Substitution 5-4 Solving Systems Using Linear Combinations 5-7 Graphing Inequalities in the Coordinate Plane 5-8 Systems of Linear Inequalities 5-9 Linear Programming I Chapter 11 - Polynomials11-1 Introduction to Polynomials 11-2 Polynomials & Geometry 11-3 Factoring Special Cases 11-4 Estimating Solutions to Polynomial Equations 11-5 The Factor Theorem 11-8 Solving All Polynomial Equations Chapter 13 - Series & Combinations13-1 Arithmetic Series 13-2 Geometric Series 13-3 The Sigma & ! Symbols 13-4 Descriptive Statistics 13-5 Pascal's Triangle 13-6 The Binomial Theorem 13-7 Subsets & Combinations |