### Math 10: Foundations and Pre-Calc

View the complete learning outcomes for this course: Math 10: Foundations & Pre-Calc

### UNIT ONE (First Assignment)

**EXPONENTS**

- Lesson 1 – Exponents and Bases
- Lesson 2 – Zero and Negative Exponents
- Lesson 3 – Multiplying with Exponents
- Lesson 4 – Dividing with Exponent
- Lesson 5 – Exponents and Brackets
- Lesson 6 – Complex Problems
- Lesson 7 – Substitution of Values

### UNIT TWO

**RELATIONS AND FUNCTIONS**

- Lesson 1 – Linear vs non-linear relations and describing a linear graph
- Lesson 2 – Relations and functions
- Lesson 3 – Domain and range
- Lesson 4 – Graphing a linear equation
- Lesson 5 – Finding x and y-intercepts
- Lesson 6 – Variables, rate of change and meaning

### UNIT THREE

**LINEAR RELATIONS**

- Lesson 1 – Slope of a Line
- Lesson 2 – Linear Functions in Slope-Intercept Form
- Lesson 3 – Vertical and Horizontal Lines
- Lesson 4 – Finding Equations of Linear Functions
- Lesson 5 – Parallel and Perpendicular Lines
- Lesson 6 – Arithmetic Sequences

### UNIT FOUR

**LINEAR SYSTEMS**

- Lesson 1 – Solving Linear Systems by Graphing
- Lesson 2 – Determining the number of solutions
- Lesson 3 – Solving Linear Systems by Elimination
- Lesson 4 – Solving Linear Systems by Substitution
- Lesson 5 – Writing equations from word problems

### UNIT FIVE

**MULTIPLICATION of POLYNOMIALS**

- Lesson 1 – Degree of polynomials and evaluation with substitution
- Lesson 2 – Distribution of signs and like terms
- Lesson 3 – Distribution and Expanding Polynomials
- Lesson 4 – Special case expansion
- Lesson 5 – Using algebra tiles to model multiplication

### UNIT SIX

**FACTORING**

- Lesson 1 – Prime factorization, GCF and LCM
- Lesson 2 – Factoring Trinomials introduction
- Lesson 3 – Factoring Trinomials in the form x²+bx+c
- Lesson 4 – Factoring Trinomials – more difficult cases
- Lesson 5 – Factoring a Difference of Squares
- Lesson 6 – Solving for a missing coefficient

### UNIT SEVEN

**RIGHT ANGLED TRIGONOMETRY**

- Lesson 1 – Labelling your right-angle triangle
- Lesson 2 – The three primary trig ratios
- Lesson 3 – Using the primary ratios to solve for a missing side
- Lesson 4 – Using the primary ratios to solve for a missing angle
- Lesson 5 – Solving problems with multiple triangles and word problems
- Lesson 6 – Using Pythagorean theorem

### UNIT EIGHT

**FINANCIAL LITERACY**

- Lesson 1 – Time conversion and rounding currency
- Lesson 2 – Salary, Hourly, and Overtime Wages
- Lesson 3 – Alternative Methods of Compensation
- Lesson 4 – Server pay and tips
- Lesson 5 – Pay Statements and Calculating Gross and Net Pay

### Assessment

- Eight Unit Assignments 30%
- Four Module Tests 55%
- 8 Comprehension Quizzes 10%

**Required Resources**: a computer with internet access and speakers or headphone