Year 5 - Maths
Angles in quadrilaterals
Angles: compare, name, estimate and measure angles
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This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
In this unit pupils will compare the size of angles where there is a clear visual difference and use the terms acute, obtuse and reflex when describing the size of angles or amount of rotation with relation to right angles using a unit called degrees.
Lesson Summary
You will learn to explain why the angles in a quadrilateral sum to 360° and use this to find missing angles.
Key Notes
- 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.
Vocabulary To Learn
- 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 Mistakes To Avoid
- Pupils may not have fluency in properties of 2D shapes and may therefore not notice properties of angles within quadrilaterals such as trapeziums.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
A quadrilateral is a shape with four sides and four vertices. Interior angles in a quadrilateral are composed of two triangles.
2. Use this key word in a maths sentence and explain it clearly. 'Quadrilateral'
A quadrilateral is a polygon with four straight sides and four vertices. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Pupils may not have fluency in properties of 2D shapes and may therefore not notice properties of angles within quadrilaterals such as trapeziums. Correction: Pre-teaching or providing a scaffold containing shape names and properties will allow pupils to see the properties and support them in making connections.
More Lessons In This Unit
- Angles in triangles Study Guide
- Describe rotations using the standard unit of degrees when compared to a right angle Study Guide
- Describe static angles using the standard unit of degrees when compared to a right angle Study Guide
- Draw angles accurately using a protractor Study Guide
- Estimate acute and obtuse angles using the standard unit of degrees Study Guide
- Know that the angles at a point sum to 360 degrees and use this to solve problems Study Guide
- Know that the angles in a full turn sum to 360 degrees and use this to solve problems Study Guide
- Know that the angles on a straight line sum to 180 degrees and use this to solve problems Study Guide
- Measure the size of angles accurately using a protractor Study Guide
- Reasoning about angles in polygons Study Guide
- Review understanding and identification of right angles Study Guide
- Review understanding of angles as a measure of turn Study Guide
- Use the terms acute, obtuse and reflex when comparing angles to a right angle Study Guide
- Use the unit of degrees as a standard unit to measure angles Study Guide
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