Your learning journey
Interpret three-figure bearings and construct scale drawings with accurate distance and direction.
Follow the task-specific calculator guidance in Apply. Keyboard - means the same as −. Attempt before opening a scaffold or intentional practice explanation.
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Ready.
Connect & Check
Bearing: clockwise angle from north at the starting point, written with three digits. Reverse bearing: direction back along the same route. Scale: relationship between drawing and real lengths.
Intentional practice feedback after your attempt
1000 m.
Metric conversion.
Intentional practice feedback after your attempt
6 km.
Multiply by two.
Intentional practice feedback after your attempt
245.
Half-turn difference.
Present
Parallel north lines mean reversing a route changes the bearing by 180°, wrapping within 000° to 359°. A bearing of 060° is clockwise from north, not from east. At scale 1 cm:2 km, a 6 km route is drawn 3 cm long. Use the same units when writing a ratio scale.
Mark the start, north arrow and clockwise bearing. Convert distance to drawing length. Draw and label the endpoint. To reverse, add or subtract 180°. Check quadrant and real-distance conversion.
Optional scaffold
Count quarter turns.
Intentional practice feedback after your attempt
180°; 270°.
Clockwise from north.
Optional scaffold
Add 180 if below 180.
Intentional practice feedback after your attempt
305°.
125+180.
Optional scaffold
Subtract 180 if at least 180.
Intentional practice feedback after your attempt
130°.
310−180.
Optional scaffold
Use the practical sheet.
Intentional practice feedback after your attempt
4 cm line at 060° from a north arrow.
Distance conversion and bearing are separate.
Apply
Optional scaffold
Label units.
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2, 3 and 5 cm.
Real distance divided by two.
Intentional practice feedback after your attempt
3.6 km.
7.2×50000=360000 cm=3.6 km.
Optional scaffold
Draw 3 cm east then 2 cm north; measure from start.
Intentional practice feedback after your attempt
About 7.2 km and 056°.
Teacher accepts reasonable drawing estimates: 7.0–7.4 km, 054°–058° for this classroom task.
Optional numerical check for A3 only: sqrt(6²+4²) is about 7.21 km; this Pythagoras method is taught later. Use drawing as the core method. Numeric retrieval accepts 90 for 090; the teacher checks three-figure bearing notation.
Apply and extend
Intentional practice feedback after your attempt
070° points north-east; its return is south-west at 250°. 290° is north-west, not opposite.
A reverse route differs by 180°.
Intentional practice feedback after your attempt
No; uniform scaling preserves angles. Length on first drawing is twice the second.
Allow small measuring error.
Access, Scaffold, Core and Stretch support the same goal. Stretch deepens reasoning for either qualification tier.
Recall & Review
Retrieval without notes
Six retrieval points. Enter a number, decimal, fraction such as 3/2, or mixed number such as 1 1/2. Equivalent numeric values are accepted. Unsupported notation goes to teacher review. For rounding, also communicate the requested accuracy in written work; numerical scoring cannot judge significant trailing zeros.
Not checked.
Independent exit evidence
P1–P2: five minutes, no notes, 4 marks. Your teacher reviews working and explanations. Full assessment solutions are not embedded.
Recall & Review and prepare
The geometry checkpoint mixes angle reasoning, construction, transformations and scale. Use errors to choose a repair, then answer a fresh question without copying a model.
Retrieve F1 again in one week. Bring your working and one question.
Your progress summary
Completion records attempts, not mastery. Retrieval points describe the latest checked attempt. Your teacher reviews P1–P2 separately and checks retained understanding after a delay.
Restore a backup
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Optional extension activities
Allow 10–15 minutes if the main practice is secure. Show your method, explain a check and justify your conclusion.
Stretch
Reveal a worked check after attempting
30 km.
Deep challenge
Reveal a worked check after attempting
245°.