Pre-calculus 11

Unit 1: Real Numbers, Powers & Radicals

The real number system, rational exponents, and radical operations and equations — the number machinery of the course.

• Classifying real numbers
• Powers with rational exponents

• Simplifying radicals and ordering irrationals
• Operations with radicals
• Solving radical equations

• Factoring: extended cases
• Simplifying rational expressions and non-permissible values
• Solving rational equations

Unit 2: Quadratic Functions & Equations

The heart of Pre-calculus 11: quadratic functions in their multiple forms, transformations, and the full toolkit for solving quadratic equations — plus inequalities.

• Characteristics of quadratic graphs
• Transformations of quadratic functions
• Solving quadratic equations
• Quadratic problems in context

• Solving inequalities with sign analysis
• Interval notation and contextual restrictions

Unit 3: Trigonometry: Non-Right Triangles & Standard Position

Sine and cosine laws for any triangle, and angles in standard position with special angles and the unit circle — the on-ramp to circular trigonometry.

• The sine law and the ambiguous case
• The cosine law
• Angles in standard position, special angles, and the unit circle

Unit 4: Financial Literacy: Compound Interest, Investments & Loans

Compound interest and the mathematics of investments and loans — exponential growth applied to money.

• Compound interest
• Investments, loans, and buy-vs-lease