代数 1 | 1 年間コース | ホームスクール | ON Gr. 9-10 | 高校数学教師認定

This Math course covers the fundamental Algebra 1 skills and concepts essential for early high school learners. Learners will develop these skills in a systematic and interactive way, through the model-guide-practice process. Lessons will also include the use of the online graphing calculator GeoGebra, as required. Learners are encouraged to participate in the lesson, make connections with the previous skills, ask questions for clarification and identify possible / most common errors and correct them. By the end of each lesson, learners will complete a set of exercises with full solutions edited in accordance with the correct standards of Math communication. These examples can be then used for reference when completing further independent practice / homework or when reviewing / studying for a test.

Course Weekly Outline:
September to December 2024; 15 lessons
1. Integers and Fractions
2. Order of Operation
3. Exponents. Exponent Laws
4. Collecting the Like Terms
5. Polynomials: Addition and Subtraction
6. The Distributive Property
7. Solve Multi-Step Equations
8. Solve Equations Involving Fractions
9. Inequalities
10. The Graph and Slope of a Line
11. Slope y-Intercept Form of a Line
12. Find the Equation of a Line and Graph
13. Applying Algebra in Geometry: Volume of a Cone and Sphere
14. Applying Algebra in Geometry: Surface Area of a Cone and Sphere
15. Review

January to May 2025; 18 lessons
16. Solving Systems of Equations: Graphing and Substitution
17. Solving Systems of Equations: Elimination
18. Transformation of Linear Functions
19. Linear Functions Recursive and Explicit Formulas
20. Piecewise-defined Functions: Evaluate and Graph
21. Polynomials: Multiplication
22. Polynomial: Special Products
23. Quadratic Equations: Graphs
24. Solve Quadratic Equation by Factoring
25. Factor Quadratics: Special Cases
26. Quadratics: Complete the Square
27. Solve a Quadratic Equation Using the Quadratic Formula
28. Quadratic Functions in Vertex Form
29. Transformation of Quadratics
30. Analytical Geometry. Distance & Mid-Point Formula
31. Right Triangle. Pythagorean Theorem
32. "Trigonometry Ratios: sin, cos, and tan"
33. Review

Please, message me if you have any question. I am looking forward to help you or your child succeed in Math!