[PDF] Maths Week 1st June 2020 – 3D Shapes Maths Lesson 1 This week

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Maths Week 1

st

June 2020 - 3D Shapes

Maths Lesson 1

This week, we are learning about 3D Shapes. We are going to begin by revising the properties of 3D shapes, what they look like and where you might find them in real life. You will need a ruler, scissors and glue to help with some of these activities. J

Task 1 - What do you know already?

Answer these questions in your book.

• What is a 3D Shape? • What does 3D stand for? • Can you give 5 examples of 3D shapes? Now follow this link for a Quiz: https://www.thenational.academy/year-6/maths/coordinates-and-

• Click 'start Quiz' and answer the five questions. This is your AfL task. Record how many questions

you get correct. Don't worry if you can't remember the parts of 3D shapes just yet!

Task 2 Video

• After completing the quiz, click 'next activity' which is a video. • Watch the video up to 4 minutes.

Write down in your book the names of the

different parts of the 3D shapes and their definitions. Here is a picture of the part of the video you can make notes from.

Task 3 - Shape Hunt

• Continue watching the video up until where it says 'pause' at 09:20. • Now go on a shape hunt around your house/garden/on a walk and identify as many

3D shapes as you can in real life.

Can you group the shapes?

Can you take pictures or draw/record them in your

book? • Make sure you write down the name, number of vertices/faces of the shapes on the slide where you paused then carry on watching until

13:30 which explains the answers.

Send us your shape pictures!

Task 4 Doodlemaths

• Have a go at the two Doodlemaths extras set by your teachers. The first one is '3D shapes: vertex,

edge, face' and the second one is 'Identify 3D shapes from 2D representations'.

Great work today! J

Maths Lesson 2

Today we are identifying the nets of 3D shapes.

Task 1 - What do you know already?

Answer these questions in your book.

• What is a 3D shape net? • Can you think of any real-life 3D objects that require a net to make them? Now follow this link for a Quiz: https://www.thenational.academy/year-6/maths/coordinates-and-

• Click 'start Quiz' and answer the questions. This is your AfL task. Record how many questions you

get correct. Don't worry if you're not confident with nets just yet!

Task 2 - BBC Bitesize Activities

The net of a 3D shape is what it looks like if it is opened out flat. A net can be folded up to make a 3D

shape. • Click on the link and watch the video explaining what a net is at the top of the page. • Then have a go at the two interactive activities below the video.

Task 3 - Video

• Watch the video on the link for the quiz (only up until 09:40), you just need to click 'next activity'

after the quiz. If you have lost the link, here it is again: • https://www.thenational.academy/year-6/maths/coordinates-and-shapes-to-recognise-nets-of-3- d-shapes-year-6-wk5-2#slide-3 • Now answer the three questions on Task 3 Worksheet. • Continue watching the video to check your answers. r

Task 4 - Worksheet

• Have a go at the Task 4 Worksheet. - Your extra challenge is to name each of the 3D shapes! Finally, can you find any 3D shape nets around your house? - You could unfold any kind of packaging such as cereal boxes or storage boxes.

Task 3 Worksheet

Task 4 Worksheet

Maths Lesson 3

Today we are going to practise making 3D shapes using nets. You will need a pair of scissors and some glue for two of these tasks. Task 1 - Guessing Game - will the net make a shape or not?

You are about to watch a video which shows nets being made from Polydron. A mathematician is going to

try and build each net into a solid 3D shape, sometimes it will work and sometimes it won't. • Before watching the mathematician fold the first net, think about these questions:

1. Can you imagine folding the net up into a solid shape?

2. Do you think that the net will work?

3. Can you imagine the shape of the final solid IF the net does work?

Now click on the video link and watch the first net be built, then pause the video. https://youtu.be/p7gkitKJefQ

Before watching the rest of the nets be folded

1. Try and make a guess about each net and whether it will work or not.

2. Pick 3 of the nets to do an accurate drawing of in your book. Can you see which sides join

together? Can you show this on your diagram?

3. Do you have any Polydron, or anything to build a net? If so, try and copy three of the nets.

Task 2 - Nets of real-life objects

Before you have a go at making some trickier 3D shapes from nets, have a go at making the three on the

Task 2 Sheet. Each net is designed to look like a real-life object! Use your scissors and glue. Good luck!

Task 3 - Nets Challenge!

Your challenge is to make each of the 5 nets into their 3D shapes (which look like this). The nets are on

the following pages so all you need to do first is cut them out. Then you need to colour the faces so that, in every case, no two faces which meet along an edge have the same colour. Can you find the least number of colours for which this is possible for each shape?

How did you go about finding your solutions?

Make sure you glue your nets together and let the Year 6 teachers know your answers!

Task 2 Nets

Task 3 Nets Challenge

Task 3 Answers

In a tetrahedron any two faces have a common edge so no two faces can be the same colour. A tetrahedron needs 4 colours. If we start by colouring one face, then the 3 faces adjoining it need 3 more colours.

A cube needs at least 3 colours because 3 faces meet at a point. Three colours are sufficient because

each pair of opposite faces can be painted in one of the 3 colours. An octahedron needs 2 colours. At each vertex 4 faces meet and they can be painted in alternate colours.

A dodecahedron needs at least 4 colours because if we start by colouring one face then we have to use

3 more colours to paint the faces around it. The net shows how the dodecahedron can be painted with

3 faces of each colour so 4 colours are sufficient.

An icosahedron needs at least 3 colours because we have to use 3 colours to paint the 5 faces around each vertex. Three colours are sufficient as shown in the net.

Maths Lesson 4

Today we are going to practise drawing 3D shape nets.

Task 1 - 3D Shape Face Clues Quiz

• Start the powerpoint called 'Drawing Shape Nets' and start the Quiz called 3D Shape Face Clues.

You will get shown four different 2D shapes and have to guess which 3D shape they are from. REMEMBER - there is no right answer as the 2D shapes could be a face from lots of different 3D shapes. • Continue through the powerpoint to check your answers and write down the names of all the 3D shapes you come across in your book.

• Now pause the powerpoint and research what a 'prism' is. Alternatively, you can watch this video

which explains what a prism is. • https://www.youtube.com/watch?v=TM004YsdvLQ • Write down the definition of a prism in your book.

Task 2 - Powerpoint and Net Building Worksheet

• Continue with the powerpoint (you should be on the slide called 'Drawing Shape Nets' which explains what equipment you need).

• Continue onto the next slide which shows how a protractor, tabs and a ruler are used to draw a

net. • Continue onto the next slide which shows the two activities you are going to have a go at.

• On the Task 2 Worksheet, you have got two different nets to finish drawing, cut out, stick and

build. One of the tasks asks you to use a protractor but don't worry if you don't have one. It is still

possible to complete the task with a ruler - you just need to measure carefully! Good luck! Feel free to colour your nets in/decorate however you like. J

Task 3 - Finesse Worksheet

• Now have a go at the Task 3 Worksheet which has Finesse style questions. There is also a page of

grid paper in case you want to draw out the net for Question 1 to help you! • The answers are on the next page.

Task 3 - Guess Who Game

• Create your own Guess Who game for some 3D shapes. - You could use post-it notes or pieces of paper to cover up the picture of your shape - Why not make the picture of your shape look like its real-life object or turn it into a Mr

Men/Little Miss character?

- On the post-it note/paper which covers your shape, you need to write clues. - Your clues could refer to the number of sides, vertices, edges or what it is used for in real life. See if you can play the game with your family - how many shapes can they guess... The Year 6 teachers would really like to see what you create!

Task 2 Worksheet

Task 3 Worksheet

Task 3 Answers

Maths Lesson 5

Today we are going to solve problems involving 3D shapes.

Great work on 3D shape this week Year 6! J

Task 1 - Quiz

Follow this link for the Quiz: h

d-shapes-year-6-wk5-3#slide-2

• Click 'start Quiz' and answer the questions. This is your AfL task. Record how many questions you

get correct. Don't worry if you're not sure on some things. If you learn anything new, add it to your notes.

Task 2 - Problem-Solving Question

• Now click 'next activity' after the quiz which is a video. Watch the video up until 11:46 and when

you are asked to pause and have a go at the activities, try and do this.

• At 11:46, you are asked to have a go at a question. The question is on your Task 2 sheet and there

is net of the cube for you to cut out and make if you need. • Continue playing the video to check your answer when you are done!

Task 3 - Reasoning Questions

• Now have a go at the Task 3 Worksheet which has some Reasoning style questions for you to answer.

Task 4 - SATS style Questions

• Now have a go at the Task 4 Worksheet which has some SATs style questions for you to answer. TOP TIP: Some of them are tricky, remember you can always draw out a net, cut it and fold it to help you visualise your answer!

Task 2 Sheet - Problem-solving Question

If you are struggling to visualise where to shade in the missing shapes, you can cut out the net below and

fold it to help you see where to shade. Try and have a go at the question without doing this first though!

Task 3 Worksheet

Task 3 Answers

Task 4 Sheet

Q1. Draw in lines where you would fold this shape to make a cube.

Use a ruler to measure where they would go.

1 mark

Q2. These nets will fold to make 3-D shapes. Match each net to the name of its shape. One has been done for you.

1 mark

Q3. Here is a cube.The cube is shaded all the way round so that the top half is grey and the bottom half is white.

Here is the net of the cube.Complete the shading.

2 marks

Q4. On a dice, the sum of the dots on opposite faces is always 7 Draw dots on the three empty faces of the net so that it could fold up to make a dice.

1 mark

Task 4 Answers

Q1.

All 5 fold lines correctly drawn for 1 mark.

Allow plus or minus 2 millimetres.

[1] Q2.

1 mark for drawing all arrows as shown.

[1] Q3. [2] Q4.quotesdbs_dbs12.pdfusesText_18

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