Advanced Algebra : Activities and Homework
TOC
The Philosophical Introduction No One Reads
1 Functions
1.1 The Function Game: Introduction
1.2 The Function Game: Leader’s Sheet
1.3 The Function Game: Answer Sheet
1.6 Algebraic Generalizations
1.9 Horizontal and Vertical Permutations
1.11 Sample Test: Function I
1.12 Lines
1.14 Composite Functions
1.16 Inverse Functions
1.18 TAPPS Exercise: How Do I Solve That For y?
2 Inequalities and Absolute Values
2.1 Inequalities
2.3 Inequality Word Problems
2.4 Absolute Value Equations
2.6 Absolute Value Inequalities
2.8 Graphing Inequalities and Absolute Values
3 Simultaneous Equations
3.1 Distance, Rate, and Time
3.3 Simultaneous Equations
3.5 The Generic Simultaneous Equations
4 Quadratics
4.1 Multiplying Binomials
4.3 Factoring
4.5 Introduction to Quadratic Equations
4.7 Completing the Square
4.9 The Generic Quadratic Equation
4.11 Sample Test: Quadratic Equations I
4.12 Graphing Quadratic Functions
4.13 Graphing Quadratic Functions II
4.15 Solving Problems by Graphing Quadratic Functions
4.17 Quadratic Inequalities
5 Exponents
5.1 Rules of Exponents
5.3 Extending the Idea of Exponents
5.5 Fractional Exponents
5.7 Real Life Exponential Curves
6 Logarithms
6.1 Introduction to Logarithms
6.3 Properties of Logarithms
6.5 Using the Laws of Logarithms
6.6 So What Are Logarithms Good For, Anyway?
7 Rational Expressions
7.1 Rational Expressions
7.3 Rational Equations
7.5 Dividing Polynomials
8 Radicals
8.1 Radicals (aka* Roots)
8.2 Radicals and Exponents
8.3 Some Very Important Generalizations
8.4 Simplifying Radicals
8.6 A Bunch of Other Stuff About Radicals
8.8 Radical Equations
9 Imaginary Numbers
9.1 Imaginary Numbers
9.3 Complex Numbers
9.5 Me, Myself, and the Square Root of i
9.6 The Many Merry Cube Roots of -1
10 Matrices
10.1 Introduction to Matrices
10.3 Multiplying Matrices I
10.5 Multiplying Matrices II
10.7 The Identity and Inverse Matrices
10.9 The Inverse of the Generic 2×2 Matrix
10.10 Using Matrices for Transformation
10.12 Sample Test : Matrices I
10.15 Solving Linear Equations
11 Modeling Data with Functions
11.1 Direct Variation
11.4 From Data Points to Functions
12 Conics
12.1 Distance
12.3 All the Points Equidistant from a Given Point
12.5 All the Points Equidistant from a Point and a Line
12.7 Parabolas: From Definition to Equation
12.8 Sample Test: Distance, Circles, and Parabolas
12.9 Distance to this point plus distance to that point is constant
12.11 The Ellipse: From Definition to Equation
12.12 Distance to this point minus distance to that point is constant
13 Sequences and Series
13.1 Arithmetic and Geometric Sequences
13.2 Homework: Arithmetic and Geometric Sequences
13.3 Homework: Series and Series Notation
13.4 Homework: Arithmetic and Geometric Series
13.5 Homework: Proof by Induction
14 Probability
14.1 How Many Groups?
14.3 Introduction to Probability
14.4 Homework: The Multiplication Rule
14.5 Homework: Trickier Probability Problems
14.6 Homework: Permutations
14.7 Homework: Permutations and Combinations
Download : pdf1
