# Teaching for mastery in primary maths

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## Drawing, measuring, comparing and finding angles

• Year group: Year 5
• Term: Summer
• Topic: Geometry
• Duration: 1.5 weeks
• Keystage: KS2
• Age Range: 9 to 10 yrs
• Unit can be taught out of sequence: Y
• Week Range: 5 - 6a

In this chapter, pupils reason and solve problems based on their understanding of angle size.

At this stage, pupils know that angles are measured in degrees and are able to draw and measure them. They develop accuracy when drawing lines with a ruler to the nearest millimetre and when measuring with a protractor. They use conventional markings for parallel lines and right angles.

Pupils make deductions about missing angles using angle sum facts and other properties, and relate these to missing number problems. In solving problems, pupils estimate and compare acute, obtuse and reflex angles. They also identify angles at a point in one whole turn (360°), angles at a point on a straight line or in a half-turn (180°) and other multiples of 90°.

Additionally, pupils use their knowledge of the properties of rectangles to deduce related facts and find missing lengths and angles. They distinguish between regular and irregular polygons based on reasoning about equal sides and angles.

Pupils start to use the term “diagonal” and make conjectures about the angles formed between sides, as well as between diagonals, parallel sides and other properties of quadrilaterals. They may use dynamic, geometry-focused ICT tools to support this.

## Resources for this topic

### White Rose Maths

#### Drawing angles

Direct link to our Y5 scheme.

#### Identifying angles

Direct link to our Y5 scheme.

### Mathematics Mastery

#### Draw, measure, compare and find angles

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

This task sheet focuses on drawing, measuring, comparing and finding angles 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.

#### Draw, measure, compare and find angles

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.

### Resources shared by teachers

#### Year 5 - Geometry - Property of Shape - Week 5 - Summer - Block 2 - White Rose

This is pack 1 of 3 for the Year 5 - Geometry - Property of Shape (Block 2). This pack covers week 5.

Please see: Week 6 , Week 7 or Bundle (save 40%!)

It covers the small steps:

• Measuring angles in degrees
• Measuring with a protractor (1)
• Measuring with a protractor (2)

The resources in this pack listed below include worksheets and activities along with answers for each pack:

• Worksheets - Measuring angles in degrees
• Activity - Angle types
• Worksheets - Measuring with a protractor (1)
• Game – Angles Battleships Game.
• Worksheets - Measuring with a protractor (1)
• Activity - Spinning angles
• Contextual planning sheet for guidance

PDF format (please set print option to fit).

The resources support a mastery approach to encourage a deeper understanding of the topics taught. It follows a CPA (Concrete, Pictorial, Abstract) approach to ensure all children can access learning. The pack provides pictorial and abstract representations, along with fluency, reasoning, problem solving and open-ended investigation questions. This can be seen in our product previews.

If you have any questions, please email primarystarseducation@gmail.com.

Thank you,

Primary Stars Education

#### Year 5 - Geometry - Property of Shape - Week 6 - Summer - Block 2 - White Rose

This is pack 2 of 3 for the Year 5 - Geometry - Property of Shape (Block 2). This pack covers week 6.

Please see: Week 5 , Week 7 or Bundle (save 40%!)

It covers the small steps:

• Drawing lines and angles accurately
• Calculating angles on a straight line
• Calculating angles around a point

The resources in this pack listed below include worksheets and activities along with answers for each pack:

• Worksheets - Drawing lines and angles accurately
• Activity – Create an angle poster
• Worksheets - Calculating angles on a straight line
• Activity –Measuring angles practice
• Activity –Angle art
• Worksheets - Calculating angles around a point
• Activity – Code breaker
• Contextual planning sheet for guidance

PDF format (please set print option to fit).

The resources support a mastery approach to encourage a deeper understanding of the topics taught. It follows a CPA (Concrete, Pictorial, Abstract) approach to ensure all children can access learning. The pack provides pictorial and abstract representations, along with fluency, reasoning, problem solving and open-ended investigation questions. This can be seen in our product previews.

If you have any questions, please email primarystarseducation@gmail.com.

Thank you,

Primary Stars Education

#### Year 5 - Geometry - Property of Shape - Week 7 - Summer - Block 2 - White Rose

This is pack 3 of 3 for the Year 5 - Geometry - Property of Shape (Block 2). This pack covers week 7.

Please see: Week 5 , Week 6 or Bundle (save 40%!)

It covers the small steps:

• Lengths and angles in shapes.
• Regular and irregular polygons

The resources in this pack listed below include worksheets and activities along with answers for each pack:

• Worksheets - Lengths and angles in shapes.
• Activity – Angles in shapes
• Worksheets - Regular and irregular polygons
• Activity - Venn diagram sort - Regular and irregular polygons
• Worksheets - Reasoning about 3D shapes
• Activity – Match Cards – 3D shape and nets
• Template – 3D shape nets
• Game – Board game 3D shape
• Contextual planning sheet for guidance

PDF format (please set print option to fit).

The resources support a mastery approach to encourage a deeper understanding of the topics taught. It follows a CPA (Concrete, Pictorial, Abstract) approach to ensure all children can access learning. The pack provides pictorial and abstract representations, along with fluency, reasoning, problem solving and open-ended investigation questions. This can be seen in our product previews.

If you have any questions, please email primarystarseducation@gmail.com.

Thank you,

Primary Stars Education

#### Year 5 - Geometry - Property of Shape - Week 5-7- Summer - Block 2 - BUNDLE - White Rose

This bundle covers Year 5 - Geometry - Property of Shape
(Block 2 - week 5-7). You will save 40% buying this bundle!

You will get:
Week 5, Week 6, Week 7

It covers the small steps:

Week 5:
• Measuring angles in degrees
• Measuring with a protractor (1)
• Measuring with a protractor (2)

Week 6:
• Drawing lines and angles accurately
• Calculating angles on a straight line
• Calculating angles around a point

Week 7:
• Lengths and angles in shapes.
• Regular and irregular polygons

PDF format (please set print option to fit).

The resources support a mastery approach to encourage a deeper understanding of the topics taught. It follows a CPA (Concrete, Pictorial, Abstract) approach to ensure all children can access learning. The pack provides pictorial and abstract representations, along with fluency, reasoning, problem solving and open-ended investigation questions. This can be seen in our product previews.

If you have any questions, please email primarystarseducation@gmail.com.

Thank you,

Primary Stars Education

#### Year 5 - Geometry - Position and direction - Week 8 - Summer - Block 3 - White Rose

This is a pack for the Year 5 - Geometry - Position and direction (Block 3). This pack covers week 8.

It covers the small steps:

• Position in the first quadrant
• Reflection
• Reflection with coordinates
• Translation
• Translation with coordinates

The resources in this pack listed below include worksheets and activities along with answers for each pack:

• Worksheets - Position and direction
• Activity – Match cards - reflections
• Activity – Space orbits
• Activity – Treasure hunt
• Activity – What shape am i?
• Game – Coordinates battleships
• Template – Reflection, Translation and Coordinates
• Contextual planning sheet for guidance

PDF format (please set print option to fit).

The resources support a mastery approach to encourage a deeper understanding of the topics taught. It follows a CPA (Concrete, Pictorial, Abstract) approach to ensure all children can access learning. The pack provides pictorial and abstract representations, along with fluency, reasoning, problem solving and open-ended investigation questions. This can be seen in our product previews.

If you have any questions, please email primarystarseducation@gmail.com.

Thank you,

Primary Stars Education

#### 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.

#### Maths Murder Mystery 7 -Death at the sports centre

Maths murder mystery. 32 suspects. 5 clues. Each clue eliminates half the suspects. Topics covered include: drawing angles, factors, negative numbers, 3D shapes.