A. Lesson 1 Real Numbers and Algebraic Expressions
Real numbers
1. Variables, expressions and inequalities
2. Number operations
3. Number properties
4. More number properties
B. Lesson 2 Simplifying expressions
1. Assoc. Com. And Distributive Properties
Basic expressions
1. Using the distributive property
2. Using the Assoc./Com. Property
C. Lesson 3 Solving Equations
1. Addition Property of Equality
2. Subtraction Property of Equality
3. Multiplication Property of Equality
4. Division Property of Equality
5. Solving Problems
D. Lesson 4 More on Solving Equations
1. Multi- step equations
2. Solving problems with multiple steps
3. Equations with variables on both sides
4. Formulas with multiple steps
Unit 2: Inequalities & absolute values
Lesson 5: Sets, intersections & unions
1. Sets
2. Intersections and Unions
3. Using sets to solve problems
Lesson 6: Inequalities & their graphs
1. Graphs of inequalities
2. Addition property of inequality
3. Multiplication property of inequality
4. Solving inequalities
Lesson 7: Using inequalities
1. Graphing conjunctions
2. Graphing disjunctions
3. Translating phrases into mathematical inequalities
4. Solving word problems with inequalities
Lesson 8: Solving equations involving absolute values
1. Meaning of absolute value
2. Solving equations with absolute value
3. More solving equations
4. Comparing absolute statements
Lesson 9: More solving inequalities involving absolute values
1. Solving inequalities containing absolute value
2. More solving inequalities involving absolute value
3. Transformations of inequalities
4. Transformations of inequalities involving absolute value
Unit 3: Graphs of linear equations
Lesson 10: Graphing linear equations
a. The coordinate plane
b. Solutions to an equation
c. Intercepts of lines
d. Standard form
Lesson 11: Slope in graphs & equations
a. Slope
b. Slope of some lines
c. Finding slope from a graph
d. Finding slope from an equation in standard form
Lesson 12: Linear & nonlinear equations
a. Slope intercept form
b. From standard form to slope intercept form
c. Graphs of non linear equations
d. Identifying linear and nonlinear equations
Lesson 13: Finding the equation of a line
a. Finding the equation of a line given slope and y intercept
b. Finding the equation of a line given slope and a point
c. The point slope form of an equation
d. Finding the equation of a line given two points
Lesson 14: Parallel & Perpendicular lines, & linear inequalities
a. Parallel line
b. Perpendicular lines
c. Linear inequalities
Unit 4: Systems of equations & inequalities
Lesson 15: Systems of linear equations & their graphs
a. Introduction to systems of equations
b. Graphs of systems
c. Finding solutions by graphing
d. Solving problems by graphing
Lesson 16: Solving systems of linear equations by substitution
a. The substitution method
b. Finding solutions by substitution
c. Solving problems by substitution
Lesson 17: Solving systems of linear equations by elimination
a. Elimination method by addition
b. Elimination method using subtraction
c. Elimination method using multiplication
d. Solving problems elimination
Lesson 18: Rate, work, digit, & coin problems
a. Solving rate problems
b. Solving work problems
c. Solving digit problems
d. Solving coin problems
Lesson 19: Systems of linear inequalities
a. Introduction to systems of inequalities
b. More systems of inequalities
- Solving problems with systems of inequalities