Reach for the Star

Triangle problems and bearings · Optional extension

L071 · Allow 10–15 minutes for learners ready to move on. Answers are available after an attempt.

Stretch

A traveller goes north 12 km and east 5 km. Find distance and bearing from start to nearest degree.

Reveal a worked check after attempting

Distance 13 km; bearing arctan(5/12)≈023°.

Deep challenge

A bearing from A to B is 315°. State reverse bearing and explain the 180° change.

Reveal a worked check after attempting

135° from B to A; reverse direction differs by 180° modulo 360°.

Recall & Review: feedback and extension integration

Lesson L071: Triangle problems and bearings

Objective: Combine triangle methods, scale drawings and bearings appropriately.

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 traveller goes north 12 km and east 5 km. Find distance and bearing from start to nearest degree.

Deep challenge: A bearing from A to B is 315°. State reverse bearing and explain the 180° change.