Reach for the Star

Cumulative checkpoint 7 and feedback · Optional extension

L088 · Allow 10–15 minutes for learners ready to move on. Answers are available after an attempt.

Stretch

A line y=2x−3 and a quadratic y=x²−4x+1 intersect. Form the equation for their x-coordinates.

Reveal a worked check after attempting

2x−3=x²−4x+1, so x²−6x+4=0.

Deep challenge

Why is substituting a found root back into the original equations stronger than repeating the same algebra?

Reveal a worked check after attempting

It checks the solution against both original relationships and can reveal a transformation error.

Recall & Review: feedback and extension integration

Lesson L088: Cumulative checkpoint 7 and feedback

Objective: Apply algebra and geometry pathways in a cumulative assessment.

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: A line y=2x−3 and a quadratic y=x²−4x+1 intersect. Form the equation for their x-coordinates.

Deep challenge: Why is substituting a found root back into the original equations stronger than repeating the same algebra?