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This course is offered exclusively as a one-on-one class and is not available in a small-group format.
Syllabus
Syllabus
1 Follow the Rules
1.1 Numbers
1.2 Order of Operations
1.3 When Does Order Matter?
1.4 Distribution and Factoring
1.5 Equations
1.6 Summary
2 x Marks the Spot
2.1 Expressions
2.2 Arithmetic with Expressions
2.3 Distribution, Subtraction, and Factoring
2.4 Fractions
2.5 Summary
3 One-Variable Linear Equations
3.1 Solving Linear Equations I
3.2 Solving Linear Equations II
3.3 Word Problems
3.4 Linear Equations in Disguise
3.5 Summary
4 More Variables
4.1 Evaluating Multi-Variable Expressions
4.2 Still More Arithmetic
4.3 Distribution and Factoring
4.4 Fractions
4.5 Equations
4.6 Summary
5 Multi-Variable Linear Equations
5.1 Introduction to Two-Variable Linear Equations
5.2 Substitution
5.3 Elimination
5.4 Word Problems
5.5 More Linear Equations in Disguise
5.6 More Variables
5.7 Summary
6 Ratios and Percents
6.1 Basic Ratio Problems
6.2 More Challenging Ratio Problems
6.3 Conversion Factors
6.4 Percent
6.5 Percentage Problems
6.6 Summary
7 Proportion
7.1 Direct Proportion
7.2 Inverse Proportion
7.3 Joint Proportion
7.4 Rate Problems
7.5 Summary
8 Graphing Lines
8.1 The Number Line and the Cartesian Plane
8.2 Introduction to Graphing Linear Equations
8.3 Using Slope in Problems
8.4 Find the Equation
8.5 Slope and Intercepts
8.6 Comparing Lines
8.7 Summary
9 Introduction to Inequalities
9.1 The Basics
9.2 Which Is Greater?
9.3 Linear Inequalities
9.4 Graphing Inequalities
9.5 Optimization
9.6 Summary
10 Quadratic Equations-Part 1
10.1 Getting Started With Quadratics
10.2 Factoring Quadratics I
10.3 Factoring Quadratics II
10.4 Sums and Products of Roots of a Quadratic
10.5 Extensions and Applications
10.6 Summary
11 Special Factorizations
11.1 Squares of Binomials
11.2 Difference of Squares
11.3 Sum and Difference of Cubes
11.4 Rationalizing Denominators
11.5 Simon's Favorite Factoring Trick
11.6 Summary
12 Complex Numbers
12.1 Numbers, Numbers, and More Numbers!
12.2 Imaginary Numbers
12.3 Complex Numbers
12.4 Summary
13 Quadratic Equations-Part 2
13.1 Squares of Binomials Revisited
13.2 Completing the Square
13.3 The Quadratic Formula
13.4 Applications and Extensions
13.5 Summary
14 Graphing Quadratics
14.1 Parabolas
14.2 Circles
14.3 Summary
15 More Inequalities
15.1 Quadratic Inequalities
15.2 Beyond Quadratics
15.3 The Trivial Inequality
15.4 Quadratic Optimization
15.5 Summary
16 Functions
16.1 The Machine
16.2 Combining Functions
16.3 Composition
16.4 Inverse Functions
16.5 Problem Solving with Functions…
16.6 Operations
16.7 Summary
17 Graphing Functions
17.1 Basics
17.2 Transformations
17.3 Inverse Functions Revisited
17.4 Summary
18 Polynomials
18.1 Addition and Subtraction
18.2 Multiplication
18.3 Summary
19 Exponents and Logarithms
19.1 Exponential Functions
19.2 Show Me the Money
19.3 Interest-ing Problems
19.4 What is a Logarithm?…
19.5 Summary
20 Special Functions
20.1 Radicals
20.2 Absolute Value
20.3 Floor and Ceiling
20.4 Rational Functions
20.5 Piecewise Defined Functions
20.6 Summary
21 Sequences & Series
21.1 Arithmetic Sequences
21.2 Arithmetic Series
21.3 Geometric Sequences
21.4 Geometric Series
21.5 Telescoping
21.6 Summary
22 Special Manipulations
22.1 Raising Equations to Powers
22.2 Self-similarity
22.3 Symmetry
22.4 Summary
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