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- 1Recall the properties of angles and identify the vertex and arms of given angles
- 2Display three angles of different sizes (30°, 60°, 90°) drawn on a chart board. Ask learners: What do you notice about these angles? Which angle is smallest? Which is largest? Learners write their observations in their exercise books and compare with a partner.
- 3Hold up a protractor and ask: What tool do we use to measure angles? Show learners how to position the protractor at the vertex of an angle. Ask: Can you name the two parts that make an angle? Learners call out (arms and vertex) and you confirm by pointing to each part on a large diagram.
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- UNDERSTANDING AND COPYING ANGLES USING COMPASS AND RULER
- 1Draw angle PQR (measuring 50°) on the board using the ruler and protractor. Explain each step aloud: I place the protractor at point Q (the vertex). I mark 50° on the protractor scale. I draw line QR through that mark. Now learners copy this angle into their exercise books using the ruler and protractor. Ask: Does your angle look the same size as mine? Measure both angles with your protractor to check.
- 2Introduce the compass method for copying angles. Draw a new angle ABC on the board (45°). Say: Watch how I copy this angle without measuring it. Step 1: I place my compass point at vertex B and draw an arc that crosses both arms of the angle. Label the intersection points as D and E. Step 2: I draw a ray from a new point F (this will be my new vertex). Step 3: I place the compass at B and copy arc DE. I transfer this arc using F as the centre, creating arc GH. Learners follow along, copying the same angle in their exercise books using the compass and ruler. Call on a learner who found this easy to explain the compass method back to the class.
- 3Learners work in pairs. Give each pair a different angle (30°, 60°, or 75°) drawn on a card. Pairs must copy the angle using BOTH methods: first with protractor, then with compass. Fast finishers create a third angle of their own choice and copy it using the compass method only. Struggling learners work with the protractor method only and pair with a stronger peer to guide them through the compass steps.
- 4Struggling learners: provide pre-drawn angles and focus on protractor copying only. Fast finishers: challenge them to copy two angles and combine them to create a larger angle. Ensure all learners have access to compass, ruler, and protractor.
- BISECTING ANGLES USING COMPASS AND GEOMETRIC REASONING
- 5Draw angle STU (60°) on the board. Explain: When we bisect an angle, we divide it into TWO equal parts. The line that divides the angle is called the angle bisector. I will show you how to find the bisector using a compass. Step 1: Place compass at vertex T, draw an arc crossing both arms at points V and W. Step 2: Place compass at V, draw an arc inside the angle. Step 3: Without changing the compass width, place it at W and draw another arc that crosses the first arc at point X. Step 4: Draw a line from T through X — this is the bisector. Learners copy this construction step-by-step in their exercise books using the ruler, compass, and graph board. Ask: Can you see how the bisector divides the angle into two smaller equal angles?
- 6Learners measure both smaller angles (using the protractor) to confirm each is 30° (half of 60°). Learners repeat the bisection process with a different angle: bisect angle 80°. They measure the two resulting angles to confirm each is 40°. Call on a representative from each pair to share their measurements with the class.
- 7Extension task: Learners bisect the two 40° angles created above (bisecting a bisected angle). They then measure all four resulting angles to confirm each is 20°. Ask: What happens when we bisect an angle twice? Fast finishers: bisect a 90° angle, then bisect one of the resulting 45° angles. Struggling learners: work with pre-constructed angles and focus on the bisection method with teacher support.
- 8Provide a step-by-step bisection poster on the classroom wall showing all four steps. Ensure compass needles are sharp. For learners struggling with compass control, allow them to use a template angle and focus on understanding the concept. Differentiate by varying the initial angle size.
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- 1Textbook
- 2Exercise book
- 3Ruler
- 4Compass
- 5Protractor
- 6Graph board
- 7Calculator
- 8Pre-drawn angle cards (30°, 60°, 75°, 80°, 90°)
- 9Chart board with three angles
- 10Step-by-step bisection poster
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- 1Learners stand in a circle. Show an angle on the board (55°). Ask: Is this angle bisected or copied? Learners place thumbs up if they think it is copied, thumbs down if bisected. Discuss why. Repeat with two more examples (one copied, one bisected). This consolidates learner understanding of the difference between copying and bisecting.
- 2Learners pair-check their work from Phase 2. Partners review each other's copied and bisected angles in their exercise books. They use the protractor to verify measurements. Ask: Does your partner's angle match the original? Is the bisector in the correct position? Partners give each other one piece of feedback and one suggestion for improvement.
Exercise
- 1Draw an angle of 70° on the board using the protractor and ruler. Learners must: (1) Copy this angle in their exercise books using the compass method, (2) Bisect the copied angle, (3) Measure both resulting angles with the protractor to confirm each is 35°. Learners write: The angle I copied is __°. After bisecting, each half measures __°. This confirms the bisector divides the angle into two equal parts.
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