Reach for the Star | GCSE Mathematics

L054: Standard form

Objective

Convert to and from standard form and perform calculations.

Calculator: Calculator allowed where labelled; non-calculator reasoning remains required.

Visual model for Standard form
Points route: Connect 2 · Share 2 · Apply 6 · Review 3 · Stretch 2 · Deep Challenge 3. Record your score honestly after you have checked your answer.

Recall

Retrieve the key fact or method needed for standard form.

Core practice

Write 0.00000056 in standard form, then multiply it by 3×10⁵.

Reasoning

Explain why 12×10⁴ is not in standard form and rewrite it.

Exam-style

Solve an exam-style problem involving standard form. Show working, include a check and interpret your answer.

WWW / EBI

Recall & Review: feedback and extension integration

Lesson L054: Standard form

Objective: Convert to and from standard form and perform calculations.

60-minute structure: 0-7 Connect & Check; 7-14 Share; 14-25 Present/model; 25-44 Apply route choice/practice; 44-52 independent exam-style check; 52-60 Recall & Review, WWW/EBI and next step.

What Went Well (WWW)

I selected an efficient numerical method, showed the key steps clearly and checked the sign, size or accuracy of my answer.

Even Better If (EBI)

I will make the place-value, sign or operation decision explicit and use estimation or an inverse calculation to check a fresh question.

Stretch and deep challenge

Stretch: Write 0.00000056 in standard form, then multiply it by 3×10⁵.

Deep challenge: Explain why 12×10⁴ is not in standard form and rewrite it.