L064 · Allow 10–15 minutes for learners ready to move on. Answers are available after an attempt.
Solve x²+2x−15=0 and 2a³×3a².
x=3 or −5; product 6a⁵.
A student obtains x=2,y=3 from x+y=5 and x−y=1. Test and repair.
Sum fits but difference is −1; correct x=3,y=2.
Lesson L064: Cumulative checkpoint 4 and feedback
Objective: Apply number accuracy, graphs and equations in cumulative tasks.
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.
I used my working and assessment evidence to identify the exact mathematical step that was secure and the specific misconception that needs attention.
I will correct one precise step, explain why the correction works and complete a fresh delayed question without the original scaffold.
Stretch: Solve x²+2x−15=0 and 2a³×3a².
Deep challenge: A student obtains x=2,y=3 from x+y=5 and x−y=1. Test and repair.