Reach for the Star

Algebra consolidation · Optional extension

L094 · Allow 10–15 minutes for learners ready to move on. Answers are available after an attempt.

Stretch

Solve x²−x−20=0 and verify by expansion.

Reveal a worked check after attempting

(x−5)(x+4)=0; x=5 or −4.

Deep challenge

Find k so that x²+kx+12=(x+3)(x+4).

Reveal a worked check after attempting

Expand RHS=x²+7x+12, so k=7.

Recall & Review: feedback and extension integration

Lesson L094: Algebra consolidation

Objective: Retrieve and connect algebraic methods at the chosen tier.

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 used my working and assessment evidence to identify the exact mathematical step that was secure and the specific misconception that needs attention.

Even Better If (EBI)

I will correct one precise step, explain why the correction works and complete a fresh delayed question without the original scaffold.

Stretch and deep challenge

Stretch: Solve x²−x−20=0 and verify by expansion.

Deep challenge: Find k so that x²+kx+12=(x+3)(x+4).