# Teaching for mastery in primary maths

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## Coordinates and translations

• Year group: Year 4
• Term: Summer
• Topic: Geometry
• Duration: 1 weeks
• Keystage: KS2
• Age Range: 8 to 9 yrs
• Unit can be taught out of sequence: Y
• Week Range: 11

In this chapter, pupils describe positions on a 2D grid as coordinates in the first quadrant.

Although pupils will have worked with graphs in previous chapters and topics, this is the first time they’ve been formally introduced to coordinates. The focus is on the first quadrant (where the x- and y-axis values are positive), as pupils are yet to meet negative numbers.

In time, pupils learn to draw a pair of axes, including equal scales and integer labels. They read, write and use pairs of coordinates, (eg, (2,5)), including using ICT tools to plot them.

Pupils describe positions as coordinates, as well as movements between positions as translations of a given unit to the left, right, up and down. They also plot specified points and draw sides to complete a given polygon.

## Resources for this topic

### White Rose Maths

#### Co-ordinates - Problem Solving

This worksheet is part of our November resources competition. This worksheet provides 8 problem solving questions involving co-ordinates.

Remember to submit your own resource for your chance to win a prize in our November resource competition. More details can be found here.

http://whiterosemathshub.co.uk/wrmhtescomp/

#### Reasoning - Problem Solving - Number and Geometry - March 9th

Today's problems from the White Rose Maths Hub. There are two problems for KS1 and two for KS2.

In KS1 problem children having to reason with money by finding the right combination of items. The second problem is a multistep problem involving the four operations.

At KS2 children solve problems involving shapes and lines on a unlabelled co-ordinate axes.

Every day in March the White Rose Maths Hub is aiming to put out a question of the day.

Tweet us @WRMathsHub a picture of your children's answers for a chance to win a prize.

### Mathematics Mastery

#### Co-ordinates and translations

Mathematical discussion is a key element of the Mathematics Mastery programme.

Talk Tasks are a brilliant way of enabling pupils to develop their mathematical language, thinking, understanding and confidence.

This activity explores the concept of co-ordinates and translations.

• Talk tasks are best completed in mixed attainment pairs, with pupils taking turns to listen and construct arguments
• Emphasis is on discussion rather than the solution, encouraging pupils to use key language and talk in full sentences
• Ask pupils to prove their answers in a variety of ways, using the CPA approach to support mathematical understanding and number sense

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.

#### Co-ordinates and translations

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

This activity explores the concepts of co-ordinates and translations.

• 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

#### Year 4 - Geometry - Properties of Shape - Week 8 - Summer - Block 5 - White Rose

This is pack 1 of 3 for the Year 4 - Geometry - Properties of Shape (Block 5). This pack covers week 8.

Please see: Week 9 , Week 10 or Bundle (save 40%!)

It covers the small steps:

• Identify angles
• Compare and order angles

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

• Worksheets - Identify angles
• Activity – Angle types
• Game – Angle dots
• Worksheets - Compare and order angles
• Game – Compare angles
• Activity – Sorting 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 4 - Geometry - Properties of Shape - Week 9 - Summer - Block 5 - White Rose

This is pack 2 of 3 for the Year 4 - Geometry - Properties of Shape (Block 5). This pack covers week 9.

Please see: Week 8 , Week 10 or Bundle (save 40%!)

It covers the small steps:

• Triangles

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

• Worksheets - Triangles
• Activity - Identify triangles
• Activity - Properties of triangles poster
• Activity – Colour the quadrilaterals
• Activity – Who am I ?
• Game- Quadrilaterals three in a row
• 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 4 - Geometry - Properties of Shape - Week 10 - Summer - Block 5 - White Rose

This is pack 3 of 3 for the Year 4 - Geometry - Properties of Shape (Block 5). This pack covers week 10.

Please see: Week 8 , Week 9 or Bundle (save 40%!)

It covers the small steps:

• Lines of symmetry
• Symmetric figures

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

• Worksheets - Lines of symmetry
• Activity – Drawing lines of symmetry
• Activity –Alphabet symmetry
• Worksheets - Symmetric figures
• Activity – Mirror reflection
• Game – Matching sides
• 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 4 - Geometry - Properties of Shape - Summer - Block 5 - BUNDLE White Rose

This bundle covers Year 4 - Geometry - Properties of Shape (Block 5 - week 8-10). You will save 40% buying this bundle!

You will get: Week 8 , Week 9, Week 10

It covers the small steps:

Week 8:
• Identify angles
• Compare and order angles

Week 9:
• Triangles

Week 10:
• Lines of symmetry
• Symmetrical figures

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 4 – Geometry: Position and direction – Summer week 11 – Block 6 - Introducing translation

This pack of resources covers Year 4 Geometry: position and direction week 11 of the summer term. The resources support a mastery approach to teaching mathematics. CPA (Concrete-Pictorial-Abstract) is promoted throughout therefore ensuring you have appropriate concrete resources in your classroom is recommended to make full use of the packs.

Week 4 includes worksheets and activities on:

• Describing a position
• Describing a position with coordinates
• Drawing on a grid
• Moving on a grid
• Describing a movement on a grid

I hope you find the resources useful. Feedback is very welcome.

#### Year 6 D2 missing coordinates and translations

Two consecutive observations deemed 'Good' I laminated all types of quadrilateral the right size for cm squared paper. Thanks to those people whose work I adapted.

#### Describing Transformations

This is pretty basic describing of transformation on a co-ordinate grid with a few "challenge" questions. It involves reflection (in x and y axes), rotation (centre (0,0), translation and enlargement (centre (0,0)). The "challenge" questions involve reflecting in other lines including y=x, vertical and horizontal; rotation away from the origin and an enlargement away from the origin. I have left it in MS Word so you can edit the challenge questions out.

#### Transformation Quiz

Students choose between translation, reflection and rotation in this quiz (with answers).