Pre-Calculus Elective

Unit 1: Financial Mathematics

Income and gross and net pay, compound interest, the costs and benefits of renting, leasing and buying, and developing a budget.

• Wages, salary and contracts
• Commission and piecework
• Gross and net pay

• Calculating compound interest
• Using compound interest in decisions

• Comparing the costs of renting, leasing and buying
• Weighing the benefits of renting, leasing and buying

• Building a budget
• Adjusting a budget to circumstances

Unit 2: Geometry

Basic geometric concepts, parallel and perpendicular lines, triangles, and congruent triangles.

• Points, lines, segments and planes
• Angles and 2-D figures

• Identifying parallel and perpendicular lines
• Angle relationships from parallel and perpendicular lines

• Classifying triangles
• Side and angle relationships in triangles

• Congruence conditions
• Solving problems with congruent triangles

Unit 3: Logical Reasoning

Inductive and deductive reasoning, logical reasoning, geometric and algebraic proofs, and indirect proof.

• Making conjectures inductively
• Testing conjectures and solving problems

• Conditional statements and their forms
• Valid arguments and reasoning errors

• Proving conjectures deductively
• Deductive reasoning in problem solving

• Writing geometric proofs
• Writing algebraic proofs

• Proof by contradiction

Unit 4: Permutations, Combinations and Binomial Theorem

The probability of an event, odds and probability statements, independent and dependent events, and mutually exclusive events.

• Theoretical probability of an event
• Experimental probability

• Odds and probability
• Assessing probability statements

• Independent events
• Dependent events

• Mutually exclusive events
• Events that are not mutually exclusive