|
Week |
Objectives |
General Outline |
|
1
April
27
|
Review the course syllabus,
required textbook, and references.
Linear Equations in One Variable.
An Introduction to Problem Solving.
Formulas and Problem Solving.
Linear Inequalities and Problems Solving.
Compound Inequalities.
Absolute Value Equations.
Absolute Value Inequalities. |
Introduction
Equations, Inequalities and Problem Solving. |
|
2
May 4
|
Graphing Equations.
Introduction to Functions.
Graphing Linear Functions.
The Slope of a Line.
Equations of a Line.
Graphing Piecewise-Defined Functions and Shifting and Reflecting Graphs
of Functions.
Graphing Linear Inequalities. |
Graphs and Functions. |
|
3
May
11
|
Solving Systems of Linear
Equations in Two Variables.
Solving Systems of Linear Equations in Three Variables.
Systems of Linear Equations and Problem Solving.
Solving Systems of Equations by Matrices.
Solving Systems of Linear Inequalities. |
Systems of Linear Equations and
Inequalities. |
|
4
May
18
|
Exponent and Scientific Notation.
More Work with Exponents and Scientific NOtation.
Polynomials and Polynomial Functions.
Multiplying Polynomials.
The Greatest Common Factor and Factoring by Grouping.
Factoring Trinomials.
Factoring by Special Products.
Solving Equations by Factoring and Problem Solving. |
Exponents, Polynomials, Polynomial
Functions. |
|
5
May
25 |
Rational Functions and Multiplying
and Dividing Rational Expressions.
Adding and Subtracting Rational Expressions.
Simplifying Complex Fractions.
Dividing Polynomials: Long Division and Synthetic Division.
Solving Equations Containing Rational Expressions.
Rational Equations and Problem Solving.
Variation and Problem Solving. |
Rational Expressions |
|
6
June
1
|
Radicals and Radical Functions.
Rational Exponents.
Adding, Subtracting, and Multiplying Radical Expressions.
Simplifying Radical Expressions.
Rationalizing Denominators and Numerators of Radical Expressions.
Radical Equations and Problem Solving.
Complex Numbers. |
Rational Exponents, Radicals, and
Complex Numbers |
|
7
June
8 |
Solving Quadratic Equations By
Completing the Square.
Solving Quadratic Equations by the Quadratic Formula.
Solving Equations by Using Quadratic Methods. |
Quadratic Equations and Functions |
|
8
June
15 |
Nonlinear Inequalities in One
Variable.
Quadratic Functions and Their Graphs.
Further Graphing of Quadratic Functions. |
Quadratic Equations and Functions |
|
9
June
22
|
Review for the Mid-Term Exam
MID-TERM Exam |
MID-TERM Exam |
|
10
June
29
|
School Closed
Summer Break |
|
|
11
July
6 |
The Algebra of Functions:
Composite Functions.
Inverse Functions.
Exponential Functions |
Exponential and Logarithmic
Functions |
|
12
July
13 |
Logarithmic Functions.
Properties of Logarithms.
Common Logarithms, Natural Logarithms (Neperien), and Change of Base.
Exponential and Logarithmic Equations and Applications. |
Exponential and Logarithmic
Functions |
|
13
July
20 |
The Parabola and the Circle.
The Ellipse and the Hyperbola. |
Conic Sections |
|
14
July
27 |
Solving Nonlinear Systems of
Equations.
Nonlinear Inequalities an Systems of Inequalities.
Sequences.
Arithmetic and Geometric Sequences. |
Conic Sections
Sequences, Series, and The Binomial Theorem |
|
15
August 3 |
Series.
Partial Sums of Arithmetic and Geometric Sequences.
The Binomial Theorem.
|
Sequences, Series, and the
Binomial Theorem. |
|
16
August 10
|
Review for the Final Exam
Final Exam |
FINAL EXAM |
