New
New
Year 4

Complete polygons with missing coordinates

I can mark points specified as a translation from the origin.

New
New
Year 4

Complete polygons with missing coordinates

I can mark points specified as a translation from the origin.

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Lesson details

Key learning points

  1. Use knowledge of polygon properties to identify a missing vertex.
  2. 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 (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.
Select the image that does not show a right angle.
A
B
Correct answer: C
D
Q2.
Two lines are perpendicular if they meet at a angle.
An image in a quiz
Correct Answer: right
Q3.
What is the name of the shape which is to the left of the hexagon?
An image in a quiz
Circle
Triangle
Correct answer: Trapezium
Q4.
What is the name of the shape which is below the circle?
An image in a quiz
Triangle
Correct answer: Hexagon
Parallelogram
Q5.
What are the coordinates of the star? Remember to use brackets and a comma.
An image in a quiz
Correct Answer: (5,4)
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?
Square
Rectangle
Correct answer: Trapezium
Parallelogram

6 Questions

Q1.
You have three vertices of a rectangle: A, B, and C. Where should vertex D be?
Anywhere you want.
Right next to point C.
Correct answer: The same distance from C as A is from B.
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?
An image in a quiz
(2,2) and (4, 2)
Correct answer: (2, 3) and (4, 3)
(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?
An image in a quiz
Correct answer: (2, 3)
(2, 1)
(3, 1)
Q4.
Sofia completes a rectangle by plotting points C and D. Is she correct?
An image in a quiz
Yes
Correct answer: No
Q5.
Sofia has plotted the final two vertices of a quadrilateral. She thinks that it’s a rectangle. Is Sofia correct?
An image in a quiz
Correct answer: Yes
No
Q6.
Lucas plots another coordinate to complete a trapezium. He say he will plot it at (1, 2). Will this create a trapezium?
An image in a quiz
Yes
Correct answer: No