Reach for the Star | GCSE Mathematics

L104: Non-calculator number and algebra

Objective

Apply number and algebra methods without a calculator.

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

Visual model for Non-calculator number and algebra
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 non-calculator number and algebra.

Core practice

Calculate 5/8−1/6 exactly and simplify.

Reasoning

Solve 2(3x−1)=4x+10 without a calculator and check.

Exam-style

Solve an exam-style problem involving non-calculator number and algebra. Show working, include a check and interpret your answer.

WWW / EBI

Recall & Review: feedback and extension integration

Lesson L104: Non-calculator number and algebra

Objective: Apply number and algebra methods without a calculator.

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: Calculate 5/8−1/6 exactly and simplify.

Deep challenge: Solve 2(3x−1)=4x+10 without a calculator and check.