L060 · Allow 10–15 minutes for learners ready to move on. Answers are available after an attempt.
Solve 2(x+4)=3x−5 and check by substitution.
2x+8=3x−5, x=13; both sides 34.
A learner cancels x from x²+x=0 and gets x=−1 only. Find every solution.
x(x+1)=0 gives x=0 or −1; division by x lost x=0.
Lesson L060: Algebra pathway and repair
Objective: Choose an algebraic method and repair an identified misconception.
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 2(x+4)=3x−5 and check by substitution.
Deep challenge: A learner cancels x from x²+x=0 and gets x=−1 only. Find every solution.