Reach for the Star

Quadratic expressions · Optional extension

L057 · Allow 10–15 minutes for learners ready to move on. Answers are available after an attempt.

Stretch

Factorise 2x²+7x+3 and check by expansion.

Reveal a worked check after attempting

(2x+1)(x+3).

Deep challenge

A learner writes (x−4)(x+2)=x²−8. Find the missing terms.

Reveal a worked check after attempting

x²−2x−8; cross terms are 2x−4x=−2x.

Recall & Review: feedback and extension integration

Lesson L057: Quadratic expressions

Objective: Expand and factorise quadratic expressions using structure.

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 represented the algebraic structure accurately, kept each transformation valid and checked the result by substitution, graph or equivalent reasoning.

Even Better If (EBI)

I will show the missing inverse operation or algebraic step, keep signs and brackets accurate and test the result in the original relationship.

Stretch and deep challenge

Stretch: Factorise 2x²+7x+3 and check by expansion.

Deep challenge: A learner writes (x−4)(x+2)=x²−8. Find the missing terms.