Integrated Algebra Course Outline
Unit: 1 Operations and Algebraic Language
1-1 Classifying Real Numbers
1-2 Properties of Real Numbers
1-3 Adding and Subtracting Signed Numbers
1-4 Multiplying and Dividing Signed Numbers
1-5 Order of Operations
1-6 Numbers, Variables, and Symbols
1-7 Evaluating Algebraic Expressions
1-8 Translating Algebraic Expressions
1-9 Determining if a number is a Solution
Unit 2: Solving Linear Equations
2-1 Equations of Type x + a = b
2-2 Equations of Type ax = b
2-3 Equations of Type ax + b = c
2-4 The Distributive Property
2-5 Adding Monomials and Polynomials
2-6 Subtracting Monomials and Polynomials
2-7 Equations With Like Terms
2-8 Equations With Variables on Both Sides
2-9 Multistep Equations
Unit 3: Verbal Problems and Equations
3-1 Literal Equations
3-2 Verbal Problems Leading to Equations
3-3 Consecutive Integer Problems
3-4 Consecutive Even and Odd Integer Problems
3-5 Complex Verbal Problems
3-6 Coin Word Problems
Unit 4: Solving Inequalities
4-1 Inequalities and Their Graphs
4-2 Solving Inequalities Using Addition and Subtraction
4-3 Solving Inequalities Using Multiplication and Division
4-4 Solving Multi-Step Inequalities
4-5 Verbal Problems Leading to Inequalities
4-6 Interval and Set Notation
4-7 Learning More About Sets
Unit 5: Ratios and Proportions
5-1 Ratios
5-2 Proportions
5-3 Proportions and Similar Figures
5-4 Percents
5-5 Percent Proportions
5-6 Percent of Change
Unit 6: Linear Functions
6-1 Intro to the Coordinate Plane
6-2 Relations and Functions
6-3 Linear Functions and their Graphs
6-4 Slope of a Line (Finding)
6-5 Horizontal and Vertical Line
6-6 Graphing a Linear Function
Using a Table of Values
6-7 Slope and Y-Intercept Form of a Line
6-8 Graphing Using Slope and Y- Intercept
6-9 Intercept Form of a Line
6-10 Graphing Using the Intercepts
6-10 Point-Slope Form of a Line
6-11Writing the Equation of a Line
6-12 Parallel and Perpendicular Lines
Unit 7: Other Functions and Their Graphs
7-1 Graphs of Absolute Value Functions
7-2 Vertical and Horizontal Translations
7-3 Exponential Functions
7-4 Graphs of Exponential Functions
7-5 Exponential Growth
7-6 Exponential Decay
Unit: 8 Systems of Equations
8-1 System of Linear Equations
8-2 Solving a System Graphically
8-3 Solving a System by Substitution
8-4 Solving a System Using Addition
8-5 Graphing Linear Inequalities
8-6 Solving a System of Linear Inequalities
8-7 Verbal Problems Leading to Systems of Equations
Unit 9: Polynomials and Exponents
9-1 Intro to Polynomials
9-2 Adding and Subtracting Polynomials
9-3 Negative and Zero Exponents
9-4 Multiplying Monomials
9-5 Dividing Monomials
9-6 Multiplying a Polynomial by a Monomial
9-7 Dividing a Polynomial by a Monomial
9-8 Multiplying Binomials
9-9 Scientific Notation
Unit 10: Factoring
10-1 The Factoring Process
10-2 Factoring Using the GCF
10-3 Factoring Quadratic Trinomials of type
x
10-4 Factoring Quadratic Trinomials of type
10-5 Factoring Quadratic Trinomials of type
when a =1
10-6 Factoring Special Cases
Unit 11: Rational Expression
11-1 Rational Expressions
11-2 Simplifying Rational Expressions
11-3 Multiplying Rational Expressions
11-4 Dividing Rational Expressions
11-5 Adding and Subtracting Rational Expressions
11-6 Multi-Operation Rational Expressions
11-7 Solving Rational Equations
Unit 12: Radical Expressions
12-1 Square and Cube Roots
12-2 Simplifying Radical Expressions
12-3 Multiplying and Dividing Radical Expressions
12-4 Adding and Subtracting Radical Expressions
12-5 The Pythagorean Theorem
12-6 Trigonometric Ratios
12-7 Finding Angles Using Trigonometry
12-8 Angles of Elevation and Depression
Unit 13: Quadratic Functions
13-1 Quadratic Functions
13-2 Graphs of Quadratic Functions
13-3 Solving Quadratic Equations by Graphing
13-4 Solving Quadratic Equations by Factoring
13-5 Quadratic Linear System of Equations
13-6 Verbal Problems Leading to Quadratic Equations
Unit 14: Geometry Topics
14-1 Perimeter of Triangles, Squares, and Rectangles
14-2 Area of Rectangles and Squares
14-3 Area of Parallelograms and Triangles
14-4 Area of a Trapezoid
14-5 Circumference of a Circle
14-6 Area of Circle
14-7 Area of Complex Figures
14-8 Surface Area of Solid Figures
14-9 Volume of Solid Figures
14-10 Changing Dimensions Affect Perimeter, Area, and Volume
14-11 Relative Error
Unit 15: Statistics
15-1 Statistics and Categorizing Data
15-2 Linear Correlation and Causation
15-3 Scatter Plots
15-4 Line of Best Fit
15-5 Measures of Central Tendency
15-6 Box and Whisker
15-7 Frequency Tables
15-8 Histograms
15-9 Cumulative Frequency Histogram
Unit 16: Probability
16-1 Theoretical Probability
(spinners, dice, cards, coins)
16-2 Probability Without Replacement
16-3 Tree Diagrams, Counting Principle, and Compound Events
16-4 Probability of “A or B” & “A and B”
16-5 Permutations
16-6 Combination
June:
Regents Exam review and preparation
*Exams will be given at the end of every unit. Dates for quizzes and exams are tentative and will be announced.