### 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

BC Performance Standards