Maths Standard Year 11 - Module 1 - Lesson 4

Rearranging Formulas

Practise making a different variable the subject before substituting values.

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1. Key Ideas

  • The subject is the variable written by itself.
  • Use inverse operations to rearrange formulas.
  • Rearrange first when the required variable is not the subject.

2. Success Criteria

  • I can rearrange formulas with one variable occurrence.
  • I can substitute after rearranging.
  • I can check a rearranged formula with numbers.

3. Short Answer Questions

1. Rearrange $d = st$ to make $s$ the subject. 2 marks

2. Rearrange $d = st$ to make $t$ the subject, then find $t$ when $d = 240$ km and $s = 80$ km/h. 3 marks

3. Rearrange $C = 2\pi r$ to make $r$ the subject. 2 marks

4. Use $r = \frac{C}{2\pi}$ to find $r$ when $C = 31.4$ cm and $\pi \approx 3.14$. 2 marks

5. Rearrange $A = bh$ to make $h$ the subject, then find $h$ when $A = 96$ m2 and $b = 12$ m. 3 marks

4. Success Criteria Proof

Use simple numbers to check that $s = \frac{d}{t}$ is equivalent to $d = st$. 3 marks

HSCScience - Printable lesson worksheet - Maths Standard Year 11 - Module 1 - Lesson 4

Classification Tree A hierarchical classification tree branching from a root concept into categories and subcategories. ROOT CONCEPT CATEGORY A CATEGORY B CATEGORY C Sub-type A1 Sub-type A2 Sub-type B1 Sub-type B2 Sub-type C1 Sub-type C2 Edit root, categories and sub-types to match your classification.