Reach for the Star

Geometry connections and repair · Optional extension

L084 · Allow 10–15 minutes for learners ready to move on. Answers are available after an attempt.

Stretch

A circle has centre O, tangent at T and chord through T. Explain the right angle between OT and tangent.

Reveal a worked check after attempting

Radius to point of tangency is perpendicular to tangent, so 90°.

Deep challenge

A translated quadrilateral keeps all side lengths. Explain why translation also preserves parallel sides.

Reveal a worked check after attempting

Every vertex moves by the same vector, so displacement between corresponding vertices remains unchanged; side vectors stay equal.

Recall & Review: feedback and extension integration

Lesson L084: Geometry connections and repair

Objective: Connect geometry methods and repair weaknesses revealed by evidence.

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 circle has centre O, tangent at T and chord through T. Explain the right angle between OT and tangent.

Deep challenge: A translated quadrilateral keeps all side lengths. Explain why translation also preserves parallel sides.