New
New
Year 5

Angles in quadrilaterals

I can explain why the angles in a quadrilateral sum to 360° and use this to find missing angles.

New
New
Year 5

Angles in quadrilaterals

I can explain why the angles in a quadrilateral sum to 360° and use this to find missing angles.

Lesson details

Key learning points

  1. A quadrilateral is a shape with four sides and four vertices.
  2. Interior angles in a quadrilateral are composed of two triangles.
  3. Interior angles in a quadrilateral are equal to 360 degrees.

Common misconception

Pupils may not have fluency in properties of 2D shapes and may therefore not notice properties of angles within quadrilaterals such as trapeziums.

Pre-teaching or providing a scaffold containing shape names and properties will allow pupils to see the properties and support them in making connections.

Keywords

  • Quadrilateral - A quadrilateral is a polygon with four straight sides and four vertices.

  • Point - A point is an exact location. It has no size, only position.

  • Sum - The sum is the result of adding two or more numbers.

Encourage pupils to notice angles that look the same in size. You may like to have the angles cut out and available to manipulate to help visualise this, particularly where folding may help recognise angles that are the same size.
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).

Loading...

6 Questions

Q1.
Which of the angles shown is an obtuse angle?
Correct answer: A
B
C
Q2.
What is the missing value in this bar model? °
An image in a quiz
Correct Answer: 181, 181°
Q3.
What is the missing value in this bar model? °
An image in a quiz
Correct Answer: 164, 164°
Q4.
Complete the sentence. ° is needed to complete the angles about a point.
An image in a quiz
Correct Answer: 133, 133°
Q5.
This is a quadrilateral. Look carefully at the vertices and the angles inside the shape. Which statement is correct?
An image in a quiz
The quadrilateral has four acute angles.
The quadrilateral has four obtuse angles.
Correct answer: The quadrilateral has two acute angles and two obtuse angles.
The quadrilateral has two right angles and two acute angles.
Q6.
This is a quadrilateral. Look carefully at the vertices and the angles inside the shape. Which statement is correct?
An image in a quiz
The quadrilateral has four acute angles.
The quadrilateral has two acute angles and two obtuse angles.
The quadrilateral has three acute angles and one reflex angle.
Correct answer: The quadrilateral has two acute angles, one obtuse angle and one reflex angle.

6 Questions

Q1.
This is a quadrilateral. The angles of the vertices sum to °
An image in a quiz
Correct Answer: 360, 360°
Q2.
All rectangles have four vertices and each vertex is equal to °
An image in a quiz
Correct Answer: 90, 90°
Q3.
What is the missing value in this bar model? °
An image in a quiz
Correct Answer: 129, 129°
Q4.
The image is not to scale. What is the value of missing angle a? a = °
An image in a quiz
Correct Answer: 165, 165°
Q5.
The image is not to scale. What is the value of missing angle a? a = °
An image in a quiz
Correct Answer: 142, 142°
Q6.
The image is not to scale. What is the value of missing angle a? a = °
An image in a quiz
Correct Answer: 40, 40°