| Objectives | Students will be able to: (1) combine like terms; (2) use distributive property; (3) simplify expressions. |
|---|---|
| Materials | Algebra tiles, whiteboards, worksheets. |
| Key vocabulary | term, like term, coefficient, constant, simplify |
| Engage (starter) | (10 min) "3 apples + 2 apples = 5 apples. Same with algebra: 3a + 2a = 5a." |
| Develop (main) | (35 min) 1. Use algebra tiles. 2. Identify like terms. 3. Practice combining. 4. Distributive: 3(x + 2) = 3x + 6. 5. Worksheet. |
| Plenary (close) | (10 min) Quick quiz: simplify 4x + 3y - 2x + y. |
| Assessment | Correct simplification. |
| Teacher notes | Foundation for solving equations. |
| Objectives | Students will be able to: (1) solve equations like 2x + 3 = 11; (2) use inverse operations in order; (3) check solutions. |
|---|---|
| Materials | Balance scales, whiteboards, equation cards. |
| Key vocabulary | two-step, inverse, isolate, variable, check |
| Engage (starter) | (10 min) "To solve 2x + 3 = 11, undo the +3 first, then undo x2." |
| Develop (main) | (35 min) 1. Model with balance. 2. Practice steps: subtract, then divide. 3. Equations with negatives. 4. Word problems. 5. Worksheet. |
| Plenary (close) | (10 min) Solve the mystery number: "I think of a number, double it, add 5, get 21. What's my number?" |
| Assessment | Correct solution and checking. |
| Teacher notes | Build confidence. |
| Objectives | Students will be able to: (1) derive formulas; (2) calculate areas; (3) apply to composite shapes. |
|---|---|
| Materials | Grid paper, scissors, rulers, worksheets. |
| Key vocabulary | parallelogram, trapezoid, base, height, formula |
| Engage (starter) | (10 min) "Cut a triangle off a parallelogram and move it - it becomes a rectangle!" |
| Develop (main) | (35 min) 1. Hands-on derivation. 2. Parallelogram: A = b x h. 3. Trapezoid: A = 1/2 (a + b) x h. 4. Practice. 5. Worksheet. |
| Plenary (close) | (10 min) Quick quiz: area of trapezoid with bases 6 and 10, height 4. |
| Assessment | Correct area calculation. |
| Teacher notes | Relate to real-life (land area). |
| Objectives | Students will be able to: (1) solve proportion problems using cross multiplication; (2) apply to scale drawing; (3) use unitary method. |
|---|---|
| Materials | Maps, scale drawings, worksheets. |
| Key vocabulary | ratio, proportion, cross multiply, scale |
| Engage (starter) | (10 min) "If 3 oranges cost $90, how much for 5? Set up a proportion: 3/90 = 5/x." |
| Develop (main) | (35 min) 1. Practice cross multiplication. 2. Unitary method: find price of 1, then multiply. 3. Scale drawings: map interpretation. 4. Worksheet. |
| Plenary (close) | (10 min) Proportion challenge: real-life scenarios. |
| Assessment | Correct proportion solving. |
| Teacher notes | Essential skill. |
| Objectives | Students will be able to: (1) review all Term 1 content; (2) complete a comprehensive practice exam; (3) self-assess. |
|---|---|
| Materials | Practice exam, answer key, reflection sheet. |
| Key vocabulary | review |
| Engage (starter) | (10 min) "This is a big review. Do your best, and then we'll check." |
| Develop (main) | (35 min) 1. Work through exam. 2. Self-mark. 3. Identify weak areas. 4. Write a study plan. 5. Share with teacher. |
| Plenary (close) | (10 min) Study plan check. |
| Assessment | Exam score; self-assessment. |
| Teacher notes | Targeted revision before end of term. |