PRE-CALCULUS MATH 11 LEARNING OUTCOME TRACKING SHEET
Remember that we are still fine-tuning the learning outcomes for Pre-Calculus Math 11 and there may still be changes which I will communicate to you.
Chapter 1: Roots and Powers
| Learning Outcome | Weight |
| 1. Demonstrate an understanding of the square roots and cube roots of fractions, and the connections within the real number system. (1.1-1.2) | 20% |
| 2. Demonstrate an understanding of how to represent an entire radical as a mixed radical, and vice versa. (1.3) | 20% |
| 3. Demonstrate an understanding of powers with positive rational exponents. (1.4) | 20% |
| 4. Demonstrate an understanding of powers with negative rational exponents. (1.5) | 20% |
| 5. Demonstrate an understanding of how to apply the order of operations and exponent laws to evaluate numerical expressions and simplify algebraic expressions. (1.6) | 20% |
Chapter 2: Radical Operations and Equations
| Learning Outcome | Weight |
| 6. Demonstrate an understanding of how to simplify radical expressions with numerical or variable radicands. (2.1) | 20% |
| 7. Demonstrate an understanding of how to add, subtract and simplify radical expressions. (2.2) | 25% |
| 8. Demonstrate an understanding of how to multiply, divide and simplify radical expressions. (2.3) | 25% |
| 9. Solve radical equations graphically and algebraically. (2.4-2.5) | 30% |
Chapter 3: Solving Quadratic Equations
| Learning Outcome | Weight |
| 11. Demonstrate an understanding of factoring basic and complex polynomial expressions. (3.1-3.2) | 17% |
| 12. Demonstrate an understanding of solving equations by factoring. (3.3) | 17% |
| 13. Demonstrate an understanding of using square roots and completing the square to solve quadratic equations. (3.4) | 17% |
| 14. Demonstrate an understanding of how to derive and/or apply the quadratic formula. (3.5) | 17% |
| 15. Demonstrate an understanding of the nature of roots of a quadratic equation. (3.6) | 15% |
| 16. Demonstrate an understanding of how to solve problems that involve quadratic equations. | 17% |
Chapter 4 Part 1: Analyzing Quadratic Functions (80%) | Entire Chapter 4 Weight: 1.5
| Learning Outcome | Weight |
| 17. Analyze and graph quadratic functions in general form to identify characteristics of graphs and solve problems. (4.1-4.2) | 25% (20%) |
| 18. Analyze and graph quadratic functions in standard (or vertex) form to identify characteristics of graphs and solve problems. (4.3-4.4) | 25% (20%) |
| 19. Demonstrate an understanding of how to convert between general form and standard form. (4.5) | 15% (12%) |
| 20. Demonstrate an understanding of how to convert to factored form, using it to analyze and identify characteristics of graphs and solve problems. (4.6) | 15% (12%) |
| 21. Solve problems by modelling a given situation, analyzing, then solving the problem. (4.7) | 20% (16%) |
Chapter 4 Part 2: Analyzing Linear and Quadratic Inequalities (20%)
| Learning Outcome | Weight |
| 22. Solve one-variable linear and quadratic inequalities with graphs of linear and quadratic functions. (4.8) | 50% (10%) |
| 23. Solve one-variable linear and quadratic inequalities using related linear and quadratic equations. (4.9) | 50% (10%) |
Chapter 5: Trigonometry
| Learning Outcome | Weight |
| 24. Demonstrate an understanding of relating primary trigonometric ratios to angles in standard position. (5.1-5.3) | 50% |
| 25. Demonstrate an understanding of applying the Sine Law & Cosine law to solve problems in triangles. (5.5-5.6) | 50% |
Chapter 6: Rational Expressions and Equations
| Learning Outcome | Weight |
| 26. Simplify, identify, and state non-permissible values of rational expressions. (6.1) | 25% |
| 27. Demonstrate an understanding of how to multiply, divide, and simplify rational expressions. (6.2) | 25% |
| 28. Demonstrate an understanding of how to add, subtract, and simplify rational expressions. (6.3-6.4) | 25% |
| 29. Demonstrate an understanding of how to solve rational equations and problems involving rational expressions. (6.5-6.6) | 25% |
Chapter 7: Financial Literacy
| Learning Outcome | Weight |
| 30. Develop, understand, and use the formulas for simple interest and compound interest. (7.1-7.3) | 50% |
| 31. Demonstrate an understanding of how annuities are applied to investments and loans. (7.4) | 50% |