# Teaching for mastery in primary maths

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## Missing angles and lengths

• Year group: Year 6
• Term: Summer
• Topic: Geometry
• Duration: 1 weeks
• Keystage: KS2
• Age Range: 10 to 11 yrs
• Unit can be taught out of sequence: Y
• Week Range: 2

In this chapter, pupils use angle properties to find missing angles.

Building on learning from previous chapters, pupils make deductions about missing angles using angle sum facts, as well as other properties, and relate these to missing number problems. Additionally, they recognise angles where they meet at a point, are on a straight line or are vertically opposite.

## Resources for this topic

### White Rose Maths

#### Angle problems

Two tricky angle problems to get your children thinking.

#### Missing angles

Direct link to our Y6 scheme.

### Mathematics Mastery

#### Missing angles and lengths

Developing pupils’ problem solving skills is a key element of the Mathematics Mastery programme.

This topic focuses on missing angles and lengths and can be used in two ways. 1. To support parents with their child(ren)’s learning at home, helping them to develop their mathematical understanding beyond the classroom environment. 2. For teachers to use this resource as a basis for a classroom activity, helping pupils to practise and consolidate their understanding.

• Each task is accompanied by guidance to support parents with concepts and methods they may be less familiar with
• For the classroom, you can introduce this as an independent task or in mixed attainment pairs to encourage mathematical discussion

Like what you see?

Mathematics Mastery is a professional development programme for teachers with a mission to transform mathematics education in the UK.

This task is just a taster of the complete classroom resources we offer. We also provide in-depth development training, online CPD, specialist support and assessment tools.

We believe all elements of our programme are vital in creating lasting change – enabling every child to enjoy and succeed in mathematics.

Want to find out more? Check out our free resources and blogs or join an information session.

#### Missing angles and lengths

Deepening pupils’ understanding of key mathematical ideas is a core element of the Mathematics Mastery programme.

Our Key Constructs highlight the essential mathematical concepts all pupils are expected to grasp within each year group, with accompanying guidance for assessing pupil progress.

Our Key Constructs are closely aligned to the National Curriculum’s objectives. We know these can be tricky to evidence, so we’ve included an example task for each concept, as well as ideas to support slower-graspers and depth tasks to challenge higher-attaining pupils.

• Pupils should work through the tasks independently
• Teachers should incorporate the CPA approach to support pupils’ learning
• Opportunities for depth and scaffolding are built into each task

Like what you see?

Mathematics Mastery is a professional development programme for teachers with a mission to transform mathematics education in the UK.

This task is just a taster of the complete classroom resources we offer. We also provide in-depth development training, online CPD, specialist support and assessment tools.

We believe all elements of our programme are vital in creating lasting change – enabling every child to enjoy and succeed in mathematics.

Want to find out more? Check out our free resources and blogs or join an information session.

#### Missing angles and lengths

Deepening pupils’ understanding of key mathematical ideas is a core element of the Mathematics Mastery programme.

Our Key Constructs highlight the essential mathematical concepts all pupils are expected to grasp within each year group, with accompanying guidance for assessing pupil progress.

Our Key Constructs are closely aligned to the National Curriculum’s objectives. We know these can be tricky to evidence, so we’ve included an example task for each concept, as well as ideas to support slower-graspers and depth tasks to challenge higher-attaining pupils.

• Pupils should work through the tasks independently
• Teachers should incorporate the CPA approach to support pupils’ learning
• Opportunities for depth and scaffolding are built into each task

Like what you see?

Mathematics Mastery is a professional development programme for teachers with a mission to transform mathematics education in the UK.

This task is just a taster of the complete classroom resources we offer. We also provide in-depth development training, online CPD, specialist support and assessment tools.

We believe all elements of our programme are vital in creating lasting change – enabling every child to enjoy and succeed in mathematics.

Want to find out more? Check out our free resources and blogs or join an information session.

#### Missing angles and lengths

Enabling pupils to develop their mathematical reasoning skills through independent work is a key element of the Mathematics Mastery programme.

This activity explores the concept of missing angles and lengths

• Pupils should complete these tasks using concrete manipulatives as part of the CPA approach
• Pupils should be encouraged to explain their working in full sentences
• These tasks may be adapted with pupils working in pairs to encourage mathematical discussion

Like what you see? Mathematics Mastery is a professional development programme for teachers with a mission to transform mathematics education in the UK.

This task is just a taster of the complete classroom resources we offer. We also provide in-depth development training, online CPD, specialist support and assessment tools.

We believe all elements of our programme are vital in creating lasting change – enabling every child to enjoy and succeed in mathematics.

Want to find out more? Check out our free resources and blogs or join an information session.

### Resources shared by teachers

#### Properties of Shape : Year 6 - Summer Term - White Rose Maths

This resource contains the first of two packs designed to support the delivery of the White Rose Maths Scheme Year 6 Geometry: Properties of Shape - Weeks 1-2 of the Summer Term. This resource is for Week 1.

The resource focuses on the following White Rose Maths small steps:

Measure with a protractor

Introduce angles
Calculate angles
Vertically opposite angles
Angles in a triangle
Angles in a triangle, special cases
Angles in a triangle – missing angles**

The resource contains 25 worksheets / activities (concrete, pictorial and abstract) linked to the above small steps with an emphasis on the mastery approach to learning advocated by the White Rose scheme and includes reasoning and problem-solving tasks. Answer keys and solutions are included.

These resources will develop the pupils ability to achieve the following Year 2 Maths National Curriculum Objectives:-

Draw 2-D shapes using given dimensions and angles.

Compare and classify geometric shapes based on their properties and sizes and find unknown angles in any triangles, quadrilaterals and regular polygons.

Recognise angles where they meet at a point, are on a straight line, or are vertically opposite, and find missing angles.

**Year 6 Geometry : Properties of Shape : Summer Term - Week 2
**
Save money and buy both resources in a bundle for just £6:

Year 6 Geometry: Properties of Shape - Summer Term - Weeks 1-2

More Maths Resources

#### Properties of Shape : Year 6 Summer Term - White Rose Maths

This resource contains the second of two packs designed to support the delivery of the White Rose Maths Scheme Year 6 Geometry: Properties of Shape - Weeks 1-2 of the Summer Term. These resources are for Week 2.

The resource focuses on the following White Rose Maths ‘small steps’

Measure with a protractor
Introduce angles
Calculate angles
Vertically opposite angles
Angles in a triangle
Angles in a triangle – special cases
Angles in a triangle – missing angles
Angles in a triangle –missing angles
Angles in regular polygons
Draw shapes accurately Nets of 3D shapes

The resource contains 23 worksheets / activities (concrete, pictorial and abstract) linked to the above small steps with an emphasis on the mastery approach to learning advocated by the White Rose scheme and includes reasoning and problem-solving tasks. Answer keys and solutions are included.

These resources will develop the pupils ability to achieve the following Year 2 Maths National Curriculum objectives:

Draw 2-D shapes using given dimensions and angles.

Compare and classify geometric shapes based on their properties and sizes and find unknown angles in any triangles, quadrilaterals and regular polygons.

Recognise angles where they meet at a point, are on a straight line, or are vertically opposite, and find missing angles.

Year 6 Geometry : Properties of Shape : Summer Term - Week 1

Save money and buy both resources in a bundle for just £6:

Year 6 Geometry: Properties of Shape - Summer Term - Weeks 1-2

More Maths Resources

#### QR Code Puzzle 9 - Angles In Triangles

Answer the questions, colour in the QR code where appropriate and get a video of James Blunt on Sesame Street singing about triangles with Telly Monster.

#### Investigating Angles

These worksheets can be used in a single carousel/round robin-style lesson or separately. The left half of each is an investigation of an angle rule and the right half has missing angle problems related to that rule. The missing angle problems increase in difficulty.
I divided my class into colour groups based on ability level to investigate each rule. I used envoys and 'rainbow groups' (1 person from each colour group) to share what each pupil had learnt, before doing a 4-question test at the end of the lesson.

#### Angles- corresponding and alternate level 6 lesson

Three part lesson on finding missing angles formed by parallel lines (interior angles not included). Mini-plenary and plenary activities embedded. Answers provided throughout.