Angles in quadrilaterals
Lesson details
Learning outcome
I can explain why the angles in a quadrilateral sum to 360° and use this to find missing angles.
Key learning points
- A quadrilateral is a shape with four sides and four vertices.
- Interior angles in a quadrilateral are composed of two triangles.
- Interior angles in a quadrilateral are equal to 360 degrees.
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.
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.
Teacher tip
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.
Licence
Lesson video
Loading...
Prior knowledge starter quiz
6 Questions
Q1.Which of the angles shown is an obtuse angle?
Q2.What is the missing value in this bar model? °
Q3.What is the missing value in this bar model? °
Q4.Complete the sentence. ° is needed to complete the angles about a point.
Q5.This is a quadrilateral. Look carefully at the vertices and the angles inside the shape. Which statement is correct?
Q6.This is a quadrilateral. Look carefully at the vertices and the angles inside the shape. Which statement is correct?
Assessment exit quiz
6 Questions
Q1.This is a quadrilateral. The angles of the vertices sum to °
Q2.All rectangles have four vertices and each vertex is equal to °
Q3.What is the missing value in this bar model? °
Q4.The image is not to scale. What is the value of missing angle a? a = °
Q5.The image is not to scale. What is the value of missing angle a? a = °
Q6.The image is not to scale. What is the value of missing angle a? a = °
To help you plan your 5 maths lesson on: Angles in quadrilaterals, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your 5 maths lesson on: Angles in quadrilaterals, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 2 maths lessons from the Angles: compare, name, estimate and measure angles unit, dive into the full primary maths curriculum, or learn more about lesson planning.