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- 1Recall and identify examples of rotating objects in everyday Ghanaian life
- 2Ask learners: What happens when you turn a steering wheel in a trotro? Learners discuss with their partners and share one example. Write their responses on the board
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- UNDERSTANDING CLOCKWISE AND ANTI-CLOCKWISE ROTATION
- 1Display a large clock face drawn on the board. Point to 12 o'clock and trace the hand moving to 3 o'clock, then 6 o'clock, then 9 o'clock. Tell learners: This is clockwise rotation—it follows the direction of a clock's hands. Ask: What direction does the fan blade in Ama's chop bar rotate? Demonstrate using your right hand
- 2Draw a second clock and trace the hand backwards from 12 to 9 to 6 to 3. Explain: This is anti-clockwise rotation—it moves against the clock's direction. Provide each learner with a ruler and graph board. Instruct them to draw a simple arrow on the graph board using the ruler, then use their finger to show clockwise rotation, then anti-clockwise rotation, while saying the direction aloud
- 3Struggling learners: work in pairs with a peer and use only the clock example. Allow them to physically rotate an object (like a pencil) in both directions before drawing.
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- 1Ruler and graph board
- 2Manila cards with pictures of rotating objects
- 3Large clock face diagram
- 4Pencils or spinning tops for demonstration
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- 1Call on one learner from each group to demonstrate clockwise rotation using their body (spinning), and another to show anti-clockwise. Class repeats the direction names after each demonstration
- 2Ask: Yakubu watches the ceiling fan at Kotokuraba Market spin. Is it rotating clockwise or anti-clockwise? Learners raise their right hand for clockwise, left hand for anti-clockwise, and explain their choice to their partner
Exercise
- 1Draw a simple 4-pointed star on the graph board. Show it rotated clockwise by 90 degrees. Ask learners: In which direction has this star rotated? Write your answer and explain whether the rotation was clockwise or anti-clockwise in your exercise books.
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- 1Recall the properties of rotation and identify object points and their corresponding image points under a given rotation
- 2Display a triangle on the board with vertices at A(2,1), B(4,1), and C(3,3). Ask learners: What happens to each point if we rotate this triangle 90° clockwise about the origin? Learners write their predictions in their exercise books
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- DRAWING ROTATION IMAGES ON A COORDINATE PLANE
- 1Using a ruler and graph board, draw a coordinate plane on the board with axes from −5 to 5 on both x and y. Plot point P(3,2) and mark it clearly. Explain: When we rotate point P by 90° clockwise about the origin, the new position is P'(2,−3). Ask learners to identify the pattern: the coordinates swap and one sign changes. Have learners plot both P and P' on their own graph boards using the ruler
- 2Provide each learner with a manila card showing a rectangle with vertices at A(1,1), B(3,1), C(3,2), and D(1,2). Learners use their ruler and graph board to draw the rectangle on their coordinate plane, then rotate it 180° about the origin and plot the image vertices A'(−1,−1), B'(−3,−1), C'(−3,−2), D'(−1,−2). Learners label both the object and image shapes clearly and join the vertices to show the rotated rectangle
- 3Struggling learners: provide a partially completed graph board with the object shape already plotted; they only need to plot the image points and join them. Fast finishers: rotate the same rectangle by 270° anti-clockwise and compare the result with the 90° clockwise rotation.
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- 1Ruler
- 2Graph board (one per learner)
- 3Manila cards with pre-drawn rectangle
- 4Exercise books
- 5Whiteboard and markers
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- 1Ask learners to hold up their graphs showing the rotated rectangle. Select representatives from different groups to explain the rotation rule: At 180°, the coordinates become (−x,−y). Learners repeat the rule chorally three times
- 2Pose this question: If point Q(2,4) is rotated 90° anti-clockwise about the origin, what are the coordinates of Q'? Learners write their answer and compare with the person next to them. A volunteer writes Q'(−4,2) on the board and explains that anti-clockwise 90° gives (−y,x)
Exercise
- 1Draw a right-angled triangle with vertices at M(1,0), N(4,0), and O(1,3) on your graph board. Rotate it 90° clockwise about the origin and write the coordinates of the image vertices M', N', and O'. Label both shapes and draw the rotation image in your exercise books.
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