Reach for the Star

Prisms and cylinders · Optional extension

L035 · Allow 10–15 minutes for learners ready to move on. Answers are available after an attempt.

Stretch

A prism has a trapezium cross-section with parallel sides 4 cm and 8 cm and height 3 cm. Its length is 11 cm. Find the volume.

Reveal a worked check after attempting

Teacher check against the worked method.

Deep challenge

A cylinder and a triangular prism both have cross-sectional area 24 cm² and length 7 cm. Compare their volumes and explain.

Reveal a worked check after attempting

Teacher check against the worked method.

Recall & Review: feedback and extension integration

Lesson L035: Prisms and cylinders

Objective: Calculate prism and cylinder volumes from cross-sectional area and length.

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 selected the correct geometric fact, theorem, formula or transformation and used a clear diagram with appropriate labels and units.

Even Better If (EBI)

I will name the fact or theorem, show the substitution or construction step and check whether the size, direction and units of the result are reasonable.

Stretch and deep challenge

Stretch: A prism has a trapezium cross-section with parallel sides 4 cm and 8 cm and height 3 cm. Its length is 11 cm. Find the volume.

Deep challenge: A cylinder and a triangular prism both have cross-sectional area 24 cm² and length 7 cm. Compare their volumes and explain.