Lesson 1: Introduction to Standard Form
Section | Details |
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Objective | Understand and use the standard form A×10nA × 10^n where 1⩽A<101 ⩽ A < 10 and nn is an integer. |
Activities | – Starter (5 mins): Show a very large number (e.g., 5,600,000) and a very small number (e.g., 0.000042). Ask students how they might write them more simply. – Main (30 mins): Teach definition of standard form; practice converting numbers into and out of standard form. Include positive and negative powers of 10. – Plenary (5 mins): Quick quiz – teacher gives numbers and students rewrite in standard form. |
Resources | Worksheets, calculator, PowerPoint with examples. |
Time | 40 minutes: 5 (Starter) + 30 (Main) + 5 (Plenary). |
Homework | Convert 20 given numbers into standard form and back. |
Assessment | Worksheet: rewriting large/small numbers in standard form. |
Past Paper Practice | “Write 0.00053 in standard form.” |
Lesson 2: Calculations with Standard Form
Section | Details |
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Objective | Perform calculations with numbers in standard form (multiplication, division, addition, subtraction). |
Activities | – Starter (5 mins): Recap converting numbers into standard form. – Main (30 mins): Teach rules for multiplying/dividing standard form numbers (adjusting powers of 10). Practice addition/subtraction by aligning powers of 10. Work through mixed examples. – Plenary (5 mins): “Speed test” – students solve 5 calculation questions in standard form. |
Resources | Worksheets, calculator, worked examples on board. |
Time | 40 minutes: 5 (Starter) + 30 (Main) + 5 (Plenary). |
Homework | Solve 15 calculation problems involving multiplication, division, addition, and subtraction in standard form. |
Assessment | Worksheet: calculations in standard form. |
Past Paper Practice | “Evaluate (3.6×105)×(2×10−3)(3.6 × 10^5) × (2 × 10^{-3}).” |
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