maths - geometry...maths - geometry 05.05.2020 ls: i am learning to recognise, describe and build 3d...

Maths - Geometry

05.05.2020LS: I am learning to recognise, describe and

build 3D shapes including making nets.

Lesson 10Arithmetic – Complete the 3 arithmetic questions on slide 10. Answers are on slide 11.Starter – 3D shape classification Use the lesson presentation to decide how many faces each 3D shape has. Discuss with someone at home which 3D shapes you know. NetsAn introduction to the definition of ‘nets’ and what they are. Complete the 3D shape net domino activity to test your knowledge. Tasks- Complete the Match the Nets Activity sheet.- Complete SATs CGP question book pages 74 and 75. - Challenge – Complete the investigation.

What is arithmetic?

Arithmetic is a branch of mathematics that consists of the study of numbers,

especially the properties of the traditional operations:

addition, subtraction, multiplication and division. 

You will be offered a set of 3 questions and will have 10 minutes to

complete them in. Please do any working

out in your yellow exercise books.

3. Place each number below in the correct box in the diagram.

Arithmetic1

1 mark

2

1 mark

9,675 ÷ 15 =

399 – 199 = 11 24 2 33

3. Place each number below in the correct box in the diagram.

Solutions1. 2002. 6453. 2, 11, 24, 33

Answers1

1 mark

2

1 mark

9,675 ÷ 15 =

399 – 199 =11 24 2 33

How Many Faces?

4 8

6

How many faces does this 3D shape have?

How Many Faces?

4 8

6

How many faces does this 3D shape have?

How Many Faces?

3

10

6

How many faces does this 3D shape have?

How Many Faces?

3

10

6

How many faces does this 3D shape have?

How Many Faces?

4

5

6

How many faces does this 3D shape have?

How Many Faces?

4

5

6

How many faces does this 3D shape have?

How Many Faces?

4

5 6

How many faces does this 3D shape have?

How Many Faces?

4

5 6

How many faces does this 3D shape have?

How Many Faces?

9

5 7

How many faces does this 3D shape have?

How Many Faces?

9

5 7

How many faces does this 3D shape have?

Which of these 3D shapes can you name

and describe?

3D Shapes Classifications

Cylinder• 3 faces• 2 edges• 0 vertices

Cube• 6 faces• 12 edges• 8 vertices

Hexagonal Prism• 8 faces• 18 edges• 12

vertices

Pentagonal Prism• 7 faces• 15 edges• 10

vertices

How did you do? Before moving on to 3D nets we need to be secure in our

3D shape knowledge.

3D Shapes Classifications

Triangular Prism• 5 faces• 9 edges• 6 vertices

Square-based pyramid• 5 faces• 8 edges• 5 vertices

Cuboid• 6 faces• 12 edges• 8 vertices

Octahedron• 8 faces• 12 edges• 6 vertices

What are nets in geometry?A pattern that you can cut

and fold to make a model of a solid shape.

3D shapes have 3 dimensions: length, width

and height.

CGP Study Book Page

88https://www.bbc.co.uk/bitesize/topics/zt7xk2p

Use these to help you if needed!

Shape Nets Dominos You have demonstrated your knowledge in 3D shapes, now let’s have a go at the 3D nets

domino activity!

If you can print this resource please find it on the Year 6 Google Drive or on the Year 6 class

page on the Smallberry website.

If you cannot print it, not to worry! Please

complete the domino activity into your

workbooks using the next slide.

Let’s get to work!Please visit the school website and click onto the Year 6 Class

Page or visit your Google Drive to download the activities for this

lesson. If you have a printer, you may complete your work directly on

the worksheet. If not, please complete the work in your yellow exercise book with the

date and learning step

23

Want to do more? Show me what you can do!

Complete questions on Page 74 and 75 of your Maths SATs Question workbook.

Euler’s Rule

Swiss mathematician Leonhard Euler (1707 - 1783) discovered a mathematical equation relating to the properties of 3D shapes:

Number of faces

Number

of Vertices

Number of Edges+ - = 2

Choose a 3D shape and prove that the equation is correct!

I leave you today Year 6 with an investigation…