New
New
Year 6

Solve problems involving missing coordinates

I can solve problems involving missing coordinates

New
New
Year 6

Solve problems involving missing coordinates

I can solve problems involving missing coordinates

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Lesson details

Key learning points

  1. Coordinate grids are not always presented with grid lines, and the axes are not always fully-labelled.
  2. When this is the case, it is essential to consider the known coordinates to work out missing coordinates.
  3. Missing coordinates sometimes appear on the same horizontal or vertical line as known coordinates, so they are the same.
  4. Sometimes we need to use known vertices to calculate unknown side lengths when working out missing coordinates.

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.

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.

Discourage pupils from estimating the missing coordinates based on their position along the axes as this is likely to lead to errors. Encourage them instead to use their adding and subtracting skills with questions involving negative numbers.
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

Lesson video

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6 Questions

Q1.
Match the coordinate to the quadrant where it can be found.
An image in a quiz
Correct Answer:A,(−4,5)

(−4,5)

Correct Answer:B,(5,4)

(5,4)

Correct Answer:C,(−5,−4)

(−5,−4)

Correct Answer:D,(4,−5)

(4,−5)

Q2.
What is the coordinate that has been plotted on the grid?
An image in a quiz
(1,−3)
(−3,1)
Correct answer: (−3,−1)
(3,1)
Q3.
Which of these correctly shows the reflection of the unshaded shape in the y-axis?
An image in a quiz
Correct Answer: A
Q4.
Which of these best describes translation?
Increasing or decreasing the side lengths of a shape.
Rotating a shape.
Correct answer: Moving a shape horizontally and/or vertically without changing its size.
Transforming a shape using a mirror line.
Q5.
Subtract 5 from 2 and complete the equation 2 − 5 =
Correct Answer: − 3, negative 3, minus 3, -3
Q6.
Add 10 to −4 and complete the equation − 4 + 10 =
Correct Answer: 6, six

6 Questions

Q1.
The vertices of a square have been plotted. What is the missing x value?
An image in a quiz
Correct Answer: 1, one
Q2.
The vertices of a square have been plotted. What is the missing y value?
An image in a quiz
Correct Answer: 5, five
Q3.
If you know the x and y coordinates of vertex a, what other coordinates do you know?
An image in a quiz
The x-coordinate of vertex c.
Correct answer: The x-coordinate of vertex d.
Correct answer: The y-coordinate of vertex b.
The y-coordinate of vertex c.
Q4.
Two congruent rectangles have been placed on a coordinate grid. Is there enough information to work out the missing coordinates?
An image in a quiz
Yes.
No. You can't work out either side length of the rectangle from one coordinate.
Correct answer: 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.
Q5.
What is the coordinate of vertex a?
An image in a quiz
(7, −3)
(−3, 7)
Correct answer: (−10, −3)
(−3, −10)
Q6.
What is the coordinate of vertex d?
An image in a quiz
(7, −3)
(−10, −5)
Correct answer: (−10, −6)
(−6, −10)