New
New
Complete polygons with missing coordinates
I can mark points specified as a translation from the origin.
Lesson 8 of 10
New
New
- Year 4
Complete polygons with missing coordinates
I can mark points specified as a translation from the origin.
Lesson details
Key learning points
- Use knowledge of polygon properties to identify a missing vertex.
- Use known coordinates to plot a missing coordinate.
Keywords
Vertex / vertices - A vertex is the point where two or more line segments meet. The plural is vertices.
Common misconception
Pupils may not correctly identify the type of polygon (e.g., rectangle, square, parallelogram), leading to errors in determining the missing coordinate.
Encourage pupils to first identify the polygon by examining the given vertices. Review the properties of common polygons (e.g., opposite sides of a rectangle are equal and parallel). Use visual aids or models to reinforce these properties.
Remind pupils to carefully consider the relationship between the known coordinates. For instance, in a rectangle, if two points share the same x-coordinate, the third point on that vertical line will also share it. Use guided practice to reinforce this understanding.
Teacher tip
Licence
This content is © Oak National Academy Limited (2025), 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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Prior knowledge starter quiz
6 Questions
Q1.Select the image that does not show a right angle.
Select the image that does not show a right angle.
A
B
D
Q2.Two lines are perpendicular if they meet at a angle.
Two lines are perpendicular if they meet at a angle.
Q3.What is the name of the shape which is to the left of the hexagon?
What is the name of the shape which is to the left of the hexagon?
Circle
Triangle
Q4.What is the name of the shape which is below the circle?
What is the name of the shape which is below the circle?
Triangle
Parallelogram
Q5.What are the coordinates of the star? Remember to use brackets and a comma.
What are the coordinates of the star? Remember to use brackets and a comma.
Q6.Sofia thinks of a shape. She says it has 4 sides and 4 vertices. It has exactly one pair of parallel lines. What shape could she be describing?
Sofia thinks of a shape. She says it has 4 sides and 4 vertices. It has exactly one pair of parallel lines. What shape could she be describing?
Square
Rectangle
Parallelogram
Assessment exit quiz
6 Questions
Q1.You have three vertices of a rectangle: A, B, and C. Where should vertex D be?
You have three vertices of a rectangle: A, B, and C. Where should vertex D be?
Anywhere you want.
Right next to point C.
Somewhere in the middle of the rectangle.
Q2.Lucas wants to find the coordinates of the missing vertices to complete the square. Which coordinates complete the square?
Lucas wants to find the coordinates of the missing vertices to complete the square. Which coordinates complete the square?
(2,2) and (4, 2)
(1, 2) and ( 4, 1)
Q3.Sofia wants to create a pentagon. She uses a dot to plot the final vertex. Which coordinates could it not be?
Sofia wants to create a pentagon. She uses a dot to plot the final vertex. Which coordinates could it not be?
(2, 1)
(3, 1)
Q4.Sofia completes a rectangle by plotting points C and D. Is she correct?
Sofia completes a rectangle by plotting points C and D. Is she correct?
Yes
Q5.Sofia has plotted the final two vertices of a quadrilateral. She thinks that it’s a rectangle. Is Sofia correct?
Sofia has plotted the final two vertices of a quadrilateral. She thinks that it’s a rectangle. Is Sofia correct?
No
Q6.Lucas plots another coordinate to complete a trapezium. He say he will plot it at (1, 2). Will this create a trapezium?
Lucas plots another coordinate to complete a trapezium. He say he will plot it at (1, 2). Will this create a trapezium?
Yes
