1
Understand rays
Recognise a ray as part of a line with one starting point.
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Lines and Angles
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2
Understand angles
Explain how two rays with a common endpoint form an angle.
3
Measure an angle
Use degrees and protractor reasoning to state angle size.
4
Name angle types
Identify acute, right, obtuse, straight and reflex angles.
5
Use 180° and 90° facts
Apply basic angle measures in calculations.
6
Angles at an intersection
Recognise angle relationships formed when lines meet.
7
Use linear pairs
Find unknown angles using the fact that a linear pair sums to 180°.
8
Use converse of linear pair
Decide when two adjacent angles form a straight line.
9
Prove opposite angles
Use linear pairs to justify equality of vertically opposite angles.
10
Understand contradiction proof
Recognise a reasoning method that assumes the opposite and reaches an impossibility.
11
Find corresponding angles
Recognise matching-position angles with parallel or non-parallel lines.
12
Find alternate angles
Recognise alternate angles inside two lines cut by a transversal.
13
Find co-interior angles
Recognise angle pairs inside the lines on the same side of a transversal.
14
Use parallel-line angle facts
Calculate missing angles using corresponding, alternate and interior angle properties.
15
Prove lines are parallel
Apply converses of parallel-line angle facts.
16
Understand parallel transitivity
Use the idea that lines parallel to the same line are parallel to each other.
17
Reason about triangle angles
Use angle-sum logic to analyse possible angle types in a triangle.
18
Avoid impossible triangles
Use angle sums to rule out impossible triangle angle combinations.
19
Solve angle puzzles step by step
Break angle calculations into ordered steps supported by theorems.
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