Lesson 1: Upper and Lower Bounds
| Section | Details |
|---|---|
| Objective | Give upper and lower bounds for data rounded to a specified accuracy. |
| Activities | – Starter (5 mins): Quick warm-up – if a length is 4.3 cm (1 d.p.), what’s the smallest and largest it could be? – Main (30 mins): Explain concept of bounds with examples (nearest whole number, 1 d.p., significant figures). Practice finding bounds for lengths, weights, and times. – Plenary (5 mins): Students solve 5 quick-fire bound questions on mini whiteboards. |
| Resources | Worksheets, PowerPoint with diagrams, ruler. |
| Time | 40 minutes: 5 (Starter) + 30 (Main) + 5 (Plenary). |
| Homework | Find upper and lower bounds for 10 different rounded values (to nearest 10, 100, 0.1, 1 s.f.). |
| Assessment | Worksheet: finding bounds of given measurements. |
| Past Paper Practice | “Write down the upper bound of a length measured correct to the nearest metre.” |
Lesson 2: Bounds in Calculations
| Section | Details |
|---|---|
| Objective | Find upper and lower bounds of results of calculations using data rounded to a specified accuracy. |
| Activities | – Starter (5 mins): Recap: bounds of 7.6 cm (1 d.p.). – Main (30 mins): Teach using bounds in perimeter, area, speed, and density calculations. Work through examples step by step. Discuss importance in real-life contexts (e.g., construction, science). – Plenary (5 mins): Group challenge – calculate lower/upper bounds for given rectangle area. |
| Resources | Worksheets, calculator, PowerPoint examples. |
| Time | 40 minutes: 5 (Starter) + 30 (Main) + 5 (Plenary). |
| Homework | Solve 8 problems calculating bounds of perimeters, areas, and speeds. |
| Assessment | Worksheet: bounds in calculation problems. |
| Past Paper Practice | “Calculate the upper bound of the perimeter of a rectangle given dimensions measured to the nearest centimetre.” |
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