Reach for the Star | GCSE Mathematics

L071: Triangle problems and bearings

Objective

Combine triangle methods, scale drawings and bearings appropriately.

Calculator: Non-calculator core; calculator optional only for checking where labelled.

Visual model for Triangle problems and bearings
Points route: Connect 2 · Share 2 · Apply 6 · Review 3 · Stretch 2 · Deep Challenge 3. Record your score honestly after you have checked your answer.

Recall

Retrieve the key fact or method needed for triangle problems and bearings.

Core practice

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

Reasoning

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

Exam-style

Use a labelled diagram to calculate the missing value. State the theorem or formula and include units where needed.

WWW / EBI

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.