| Objectives | Students will be able to: (1) recognise direct proportion; (2) solve using cross multiplication; (3) graph proportional relationships. |
|---|---|
| Materials | Graph paper, tables, worksheets. |
| Key vocabulary | proportion, direct, constant, graph, linear |
| Engage (starter) | (10 min) "If you buy 2 mangoes for $80, 4 for $160 - the cost is directly proportional to quantity." |
| Develop (main) | (35 min) 1. Build tables. 2. Test for constant ratio. 3. Solve missing values. 4. Plot on graph (straight line through origin). 5. Worksheet. |
| Plenary (close) | (10 min) Quick quiz: "Is y=3x direct proportion?" (Yes) |
| Assessment | Correct solving and graphing. |
| Teacher notes | Foundation for linear functions. |
| Objectives | Students will be able to: (1) calculate profit and loss percentage; (2) understand simple interest; (3) apply to savings and loans. |
|---|---|
| Materials | Calculators, scenario cards, worksheets. |
| Key vocabulary | profit, loss, cost price, selling price, simple interest, principal, rate |
| Engage (starter) | (10 min) "Buy a phone for $10 000, sell for $12 000 - profit $2000. Profit % = (2000/10000)x100 = 20%." |
| Develop (main) | (35 min) 1. Practice profit/loss %. 2. Simple interest: I = PRT. 3. Calculate interest on savings. 4. Word problems. 5. Worksheet. |
| Plenary (close) | (10 min) "Banker" role-play: invest money, calculate return. |
| Assessment | Correct calculations. |
| Teacher notes | Financial literacy. |
| Objectives | Students will be able to: (1) substitute values into a formula; (2) derive a formula from a pattern; (3) use formulas in context. |
|---|---|
| Materials | Formula cards, whiteboards, pattern blocks. |
| Key vocabulary | formula, substitute, variable, expression |
| Engage (starter) | (10 min) "The area of a rectangle is A = l x w. If l=5, w=3, find A. That's substitution." |
| Develop (main) | (35 min) 1. Practice substitution. 2. Derive formula for patterns (e.g., number of sticks in shape). 3. Use formulas for speed, area, interest. 4. Worksheet. |
| Plenary (close) | (10 min) Quick quiz: "If C = 2 pi r, find C when r=7 (use pi=22/7)." |
| Assessment | Correct substitution and evaluation. |
| Teacher notes | Application of algebra. |
| Objectives | Students will be able to: (1) apply all skills to solve varied problems; (2) work collaboratively; (3) explain reasoning. |
|---|---|
| Materials | Problem cards, whiteboards, rubric. |
| Key vocabulary | strategy, reason, justify, collaborate |
| Engage (starter) | (10 min) "Work in pairs to solve these challenging problems. Use any strategy." |
| Develop (main) | (35 min) 1. Pairs solve 5 multi-step problems. 2. Write explanations. 3. Present one solution to class. 4. Peer feedback. 5. Reflect on learning. |
| Plenary (close) | (10 min) Share solutions; celebrate. |
| Assessment | Correct solution; clear explanation. |
| Teacher notes | Prepare for end of term. |
| Objectives | Students will be able to: (1) apply math to cooking (fractions, ratios, proportions); (2) prepare a simple recipe; (3) enjoy the results. |
|---|---|
| Materials | Simple recipe (e.g., fruit punch), measuring tools, ingredients. |
| Key vocabulary | ratio, proportion, fraction, measure, convert |
| Engage (starter) | (10 min) "We're making punch! But we need to scale the recipe. Let's use our math!" |
| Develop (main) | (35 min) 1. Read recipe, calculate new quantities for class size. 2. Measure and mix. 3. Discuss math used. 4. Enjoy punch. 5. Write a reflection: "Math in cooking helps me ___." |
| Plenary (close) | (10 min) Toast to a great term! |
| Assessment | Accurate scaling; reflection. |
| Teacher notes | Delicious end to term. |