Starter quiz
Match the coordinate to the quadrant where it can be found.- A⇔(−4,5) ✓
- B⇔(5,4) ✓
- C⇔(−5,−4) ✓
- D⇔(4,−5) ✓
What is the coordinate that has been plotted on the grid?- (1,−3)
- (−3,1)
- (−3,−1) ✓
- (3,1)
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Which of these correctly shows the reflection of the unshaded shape in the y-axis?- 'A' ✓
- Which of these best describes translation?
- Increasing or decreasing the side lengths of a shape.
- Rotating a shape.
- Moving a shape horizontally and/or vertically without changing its size. ✓
- Transforming a shape using a mirror line.
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- Subtract 5 from 2 and complete the equation 2 − 5 = ______
- '− 3' ✓
- Add 10 to −4 and complete the equation − 4 + 10 = ______
- '6' ✓
Exit quiz
The vertices of a square have been plotted. What is the missing x value?- '1' ✓
The vertices of a square have been plotted. What is the missing y value?- '5' ✓
If you know the x and y coordinates of vertex a, what other coordinates do you know?- The x-coordinate of vertex c.
- The x-coordinate of vertex d. ✓
- The y-coordinate of vertex b. ✓
- The y-coordinate of vertex c.
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Two congruent rectangles have been placed on a coordinate grid. Is there enough information to work out the missing coordinates?- Yes.
- No. You can't work out either side length of the rectangle from one coordinate.
- No. You can't work out the long side of the rectangle from one coordinate. ✓
- No. You can't work out the short side of the rectangle from one coordinate.
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What is the coordinate of vertex a?- (7, −3)
- (−3, 7)
- (−10, −3) ✓
- (−3, −10)
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What is the coordinate of vertex d?- (7, −3)
- (−10, −5)
- (−10, −6) ✓
- (−6, −10)
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Worksheet
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Presentation
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Lesson Details
Key learning points
- Coordinate grids are not always presented with grid lines, and the axes are not always fully-labelled.
- When this is the case, it is essential to consider the known coordinates to work out missing coordinates.
- Missing coordinates sometimes appear on the same horizontal or vertical line as known coordinates, so they are the same.
- Sometimes we need to use known vertices to calculate unknown side lengths when working out missing coordinates.
Common misconception
Pupils need to have proficiency in bridging across zero with negative numbers, in the range of −10 to 10. Grid lines that might help to support such calculations are not given in this lesson.
Pupils not secure will need a resource within the lesson to support their calculations, such as a number line going from −10 to 10.
Keywords
Congruent - If two shapes are the same shape and size as each other, they are congruent.
Vertex / vertices - A vertex is where two or more line segments meet. The plural is vertices.
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