Giraffe Class Maths

Term 6 Week 2 Activities

Fractions: Counting in tenths. Unit and non-unit

fractions. Recognise, find, and

write fractions.

Professor Assessor (about 30 minutes)

• Professor Assessor is really important because it gives your teachers and TAs, as well as yourselves and your parents, the chance to analyse your learning and to track your progress.

• Well done to everyone who completed the Home Learning Activity I set last week, called ‘Geometry’.

• This week, I have set you an Assessment called ‘Number & Place Value 1’ in order to see how much you have remembered of this topic and what we need to revise. Please log in and have a go – you only have one week to complete this!

• Please also spend time practising your Times Tables on the site!

• You were sent home with your login details in your home learning packs. To access the site, please click on the link: https://www.prof123.co.uk/Start. The school code is: BRN

Mathletics (about 30 minutes)

• Just like Professor Assessor, Mathletics is really important because it gives your teachers and TAs, as well as yourselves and your parents, the chance to analyse your learning and to track your progress.

• Last week, I decided to unset all the tasks that had not yet been completed, and set you all some Geometry work on ‘Properties of Shapes’, to match the topic. Well done to those of you who completed these tasks!

• This week, I have set you some work on ‘Number and Place Value’ which will complement the Professor Assessor Assessment!

• Please log in and have a go! • https://www.mathletics.com/uk/

Note to Parents:

• I have decided to include the answers to the questions on each week’s PowerPoint from now on, so that the children can more quickly check and correct their work, for greater learning impact. Therefore, on this PowerPoint, there are – unusually – three sections, instead of the usual two sections: 1. Last Week’s Answers (usual)

2. This Week’s work (explanations and tasks) (usual)

3. This Week’s Answers (new this week)

Last Week’s Learning Term 6 Week 1

The Answers!

Answers: Task 1: (20 minutes) Mental Maths! Easier Sheet (See next page for Challenge Sheet – choose which one you’d like to do!)

Answers: Task 1: (20 minutes) Mental Maths! Challenge Sheet (See previous page for Easier Sheet – choose which one you’d like to do!)

Last Week: Maths Vocabulary

• Regular: A regular shape has sides, faces and angles of equal size.

• Irregular: An irregular shape which is not regular. An irregular shape has sides, faces or angles of differing sizes.

• Symmetrical: An object is symmetrical when one half is a mirror image of the other half. It may be divided by one or more lines of symmetry.

• Asymmetrical: An object which does not have lines of symmetry. One half is not a mirror reflection of the other.

• Polygon (plural = Polygons): A 2D, plane or flat shape. Polygons may be regular with all sides and angles equal, or irregular with varying side and angle sizes. E.g. Triangle.

• Polyhedron (plural = Polyhedra): A 3D shape. E.g. Triangular Pyramid.

Answers: Task 2: (5 minutes) Identify the irregular shapes on each row!

1

2

3

4

5

a b c d

a b c d

a b c d

a b c d

a b c d

Answers: Task 3: (10 minutes) Name the 2D shapes! isosceles triangle, square, octagon, right angled triangle, parallelogram,

rectangle, rhombus, trapezium, heptagon, pentagon, decagon, equilateral triangle, irregular quadrilateral.

1 2 3 4

13

5 6 7 8

9 10 11 12

Equilateral triangle Trapezium Heptagon

Irregular quadrilateral Rhombus Right angled triangle Parallelogram

Scalene triangle – whoops! I typed ‘Isosceles’ in the box by mistake!

Octagon Pentagon Decagon Square

Rectangle

Answers: Task 4: (10 minutes) How many?! Can you correctly count the polyhedra (3D shapes) and polygons (2D shapes)?

2

4

5

1

3

1 3

4

3

1

1

5

Answers: Task 5: (10 minutes) For each house, decide whether it is symmetrical or non symmetrical. S = Symmetrical NS = Non Symmetrical For the symmetrical houses, decide where the line of symmetry should be.

S

S S

NS NS

NS S NS

S S NS S

Answers: Task 6: (Easier you have a printer!). (10 minutes) Draw the other side of the shape to make it symmetrical.

Answers: Task 7: (10 minutes) Follow the instructions on the sheet. For the second part of the activity, copy out the shapes into your book first.

YES NO YES

NO YES NO

Last Week: • Polyhedra (3D shapes) have edges, vertices, and

faces. The edges are where two faces meet in a line. The vertices are the corners of the shapes

(vertices = more than one corner, vertex = one corner)

The faces are the flat surfaces of the shape.

Answers: Task 8: Easy (10 minutes) Fill in the table with the number of faces, edges and vertices each shape has. Use the diagrams on the previous page to help you.

6 12 8

Square: 5 8 6

5 4

2 1 1

5 9 6

3 2 0

6 12 8

Triangular: 4

Answers: Task 9: Medium (10 minutes) Fill in the table with the number of faces, edges and vertices each shape has.

6 4

8 12

6 8

8 5

5 6

7 15

Answers: Task 10: Tricky (15 minutes) Fill in the gaps with the number of faces, edges and vertices each shape has. Can you name the shapes? Cube Cuboid Triangular-based Pyramid Square-based Pyramid Pentagonal-based Pyramid Triangular Prism Pentagonal Prism Hexagonal Prism

4

6

4

6

12

8

5

8

5

6

12

8

8

18

12

6

10

6

5

9

6

7

15

10

Triangular-based Pyramid

Cube

Pentagonal-based Pyramid

Square-based Pyramid

Cuboid Hexagonal Prism

Pentagonal Prism Triangular Prism

Answers: Task 11: Challenge 1 (15 minutes) Which of these flat cut-outs, when folded, will result in the polyhedron/3D shape pictured on the left?

1

2

3

4

5

a b c

a b c

a b c

a b c

a b c

Answers: Task 12: Challenge 2 (15 minutes) Answers are on the next page!

1

2

3

4

5

6

Answers: Task 12: Challenge 2 (15 minutes) Have a go at these mind-stretching shape word problems!

1. 8 x 4 = 32, 6 x 3 = 18, 25 x 1 = 25. 32 + 18 + 25 = 75. 2. 10 x 2 = 20. 15 x 1 = 15. 20 + 15 = 35. 3. 9 x 8 = 72. 8 x 8 = 64. 40 x 0 = 0. 72 + 64 = 136. 4. 11 x 4 = 44, 10 x 4 = 40. 44 + 40 = 84. 9 x 4 = 36. 84 – 36 = 48. 5. 10 x 8 = 80. 5 x 5 = 25. 80 + 25 = 105. 4 x 5 = 20. 105 – 20 = 85. 6. Cubes = 5 x 6 = 30. 30 divided by 2 = 15. 15 rectangular prisms.

Answers: Task 13: Challenge 3 (15 minutes) Have a go at this challenge! Draw the six shapes into your book, exactly as they are, then colour them, following the instructions.

Answers: Task 14: Challenge 4 (10 minutes): Ruler needed! 1. Draw a rectangle. Each of the long sides must be 6.5cm long. Each

of the short sides must be 2.4cm long. Then calculate the perimeter. You may round each measurement to the nearest whole centimetre. Perimeter = 6.5cm + 6.5cm + 2.4cm + 2.4cm = 17.8cm Rounded = 7cm + 7cm + 2cm + 2cm = 18cm.

2. Draw an isosceles triangle. Each of the long sides must be 8.9cm long. The short side must be 5.5cm long. Then calculate the perimeter. You may round each measurement to the nearest whole centimetre. Perimeter = 8.9cm + 8.9cm + 5.5cm = 23.3cm Rounded = 9cm + 9cm + 6cm = 24cm

3. Draw a regular pentagon. Each of the sides must be 3.2cm long. Then calculate the perimeter. You may round each measurement to the nearest whole centimetre.

Perimeter = 3.2cm x 5 = 16cm Rounded = 3cm x 5 = 15cm

This Week’s Learning Term 6 Week 2

Your Tasks!

Introduction

• This week, we are going to start our new topic of Fractions. • We are going to learn how to:

– count up and down in tenths; – recognise that tenths arise from dividing an object into 10 equal

parts and in dividing one-digit numbers or quantities by 10 – recognise, find and write fractions of a discrete set of objects:

unit fractions and non-unit fractions with small denominators – solve problems that involve all of the above

• Each week, I will also set you a Mental Maths worksheet! • I’d also like you to spend at least half an hour each week on

Professor Assessor and the same on Mathletics. This might be revising topics we have already covered, work on our current topics, or times tables practise. I will set you tasks each week to complete.

Task 1: (20 minutes) Mental Maths! Easier Sheet (See next page for Challenge Sheet – choose which one you’d like to do!)

Task 1: (20 minutes) Mental Maths! Challenge Sheet (See previous page for Easier Sheet – choose which one you’d like to do!)

Task 2: Addition Questions

(10 minutes)

Make sure you are keeping your addition

skills sharp!

Practise adding one, ten, and one hundred.

For the last few

questions, you will need to use your subtracting

skills too.

Fractions

• Watch this video on the school YouTube channel as an introduction to our fractions work this week:

• https://www.youtube.com/watch?v=G15yzu-Gjuc

• To be clear: the diagrams here are hand drawn to aid my own recall and understanding, which is a good technique for you to also use, but each fraction/piece is therefore not identical.

Fractions

Fractions

• Watch this short video called How to find unit fractions. Have a go at the questions!

• https://www.bbc.co.uk/bitesize/clips/zs7g4wx

Fractions

Fractions

Fractions

Fractions Explained Further:

• A unit fraction is any fraction where the numerator is 1, e.g. ¼.

• A non-unit fraction is a fraction where the numerator is not 1, e.g. ⅘.

• Mixed fractions are a mix of whole numbers and a fraction together, e.g. 1 ¼.

Fractions Explained Further:

• Watch this short video, then do the check activities and the quiz:

• https://www.bbc.co.uk/bitesize/topics/zhdwxnb/articles/zxcfjty#:~:text=A%20unit%20fraction%20is%20any,fraction%20together%2C%20eg%201%20%C2%BC.

Unit Fractions:

Unit fractions are where the numerator is 1. They are one part of the whole. e.g. I have an orange. I divide it into the segments. There are 7 segments altogether. Therefore, each segment is 1/7.

Here are some more examples of unit fractions:

Non-unit Fractions:

Non-unit fractions are where the numerator is not 1. They are more than one part of the whole. e.g. I have an orange. I divide it into the segments. There are 7 segments altogether. I eat 3 segments. Therefore, the fraction of the orange that I eat is 3/7.

Here are some more examples of non- unit fractions:

Task 3: (5 minutes) What is the unit fraction for the shaded part of the

shapes?

1 2 3

4 5 6

Tasks 4 and 5: What is the fraction? (10 minutes each ) Look at the examples below, then have

a go at the activities on the next pages. Pick a challenge level for each task – Easier, or Challenge.

Task 4: (10 minutes)

Easier

For each of the circles, what

fraction is shaded?

You will need a

numerator on the top (how many

parts are shaded) and a

denominator on the bottom (how

many parts altogether?)

Use the previous page to help you.

1

2

3

4

5

6

7

8

9

10

Task 4: (10 minutes)

Challenge

For each of the squares, what fraction

is shaded?

You will need a numerator on the top (how many parts are

shaded) and a denominator on the bottom (how many parts altogether?)

Use the previous page

to help you.

NB. Goes up to more than tenths!

1

2

3

4

5

6

7

8

9

10

11

12

Task 5: (10 minutes)

Easier

For each of the shapes, what

fraction is shaded?

You will need a numerator on the

top (how many parts are shaded)

and a denominator on the bottom

(how many parts altogether?)

Use the previous page to help you.

h.

Task 5: (10 minutes)

Challenge

For each of the

shapes, what fraction is shaded?

You will need a

numerator on the top (how many parts

are shaded) and a denominator on the bottom (how many parts altogether?)

Use the previous page to help you.

1

2

3

4

5

6

7

8

9

10

13

11

12 18

14

16

15

17

Year 3 Count up and down in tenths

• Watch this short video and practise counting in tenths:

• https://www.youtube.com/watch?v=slnc11A_LiU

This is a really useful diagram to show what one

tenth is.

Fractions are used in different ways.

For example, we

might say approximately 1/3

of the class are boys.

Or we might say

the desk measures 1.7 metres. (one

and seven tenths).

Or we might say the shop is

offering 10% off (one tenth).

Task 6: Counting in Tenths (10 minutes)

• Use the image below to practise counting up and down in tenths. Tenths are when we divide or share out a whole into ten equal parts. e.g. If I had ten sweets, and I gave you two sweets, then you would have 2/10 (two tenths). I would have 8/10 (eight tenths) left.

• Up: zero, one tenth, two tenths, three tenths, four tenths, five tenths, six tenths, seven tenths, eight tenths, nine tenths, one whole! (One whole = ten tenths, but we say one whole).

• Down: one whole, nine tenths, eight tenths, seven tenths, six tenths, five tenths, four tenths, three tenths, two tenths, one tenth, zero.

• How many times can you count up and then back down again in one minute?!

Task 6 (continued): (10 minutes) Counting in Tenths Practise counting up and down in decimals.

(e.g. zero, zero point one, zero point two, etc.)

How many times can you count up and down from zero to one in one minute?!

Can you count up to two?

(e.g. one point one (1.1), one point two (1.2), etc.)

Task 7: Counting in Tenths (10 minutes)

• Can you fill in the sequence? Copy it into your book and fill in the gaps. Then have a go at the bottom test. The first one has been done for you.

• Challenge: can you write it backwards?

3 1 2 3

4 5 6

Task 8: (10 minutes) On each row, how many tenths are shaded? E.g. Number 1 = 3/10.

1. 1 2 3 4 5 6 7 8 9 10

2.

3.

4.

5.

6.

7.

8.

9.

10.

Task 9: (10 minutes)

Have a go at these activities based on tenths:

How many tenths are shaded?

1 2 3

4 5 6

Task 9 (continued): (10 minutes) Have a go at these activities based on tenths.

7 8 9

10

Task 10: (10

minutes) Have a go at these

activities based on tenths.

1

2

3

4

5

6

7

Task 10 (continued): (10 minutes)

Have a go at these activities based on tenths. 8

9

Task 11: (10 minutes)

Have a go at these activities based on

tenths.

1

2

3

4

5

6

7

Task 11 (continued): (10 minutes) Have a go at

these activities based on tenths.

Mixed Numbers

• Mixed numbers

• A mixed number is made up of a whole number and a fraction, like in the examples below. It is where you have a mixture of whole numbers and fractions.

Task 12: (10 minutes)

Counting in tenths – Challenge Activity

How many tenths are

there?

Some of these are fractions, and some are mixed numbers.

Don’t forget that ten tenths (10/10) is one

whole (1).

e.g. Number 12: 3 wholes and 4/10.

Task 13:

(10 minutes)

Write the shaded part of the shape

as a decimal.

It might help you to write it as a fraction first.

e.g. Number 1 (done for you):

2/10 are shaded (two tenths), so

the decimal is 0.2.

1

2

3

4

5

6

7

8

Task 14:

(10 minutes)

Have a go at these activities using decimals.

Look back at

the help pages if you get

stuck.

Task 15:

(10 minutes)

Have a go at these problems involving

fractions.

Task 16:

(10 minutes)

Have a go at these problems

involving fractions.

Mathsframe

• https://mathsframe.co.uk/

• This is the site we often use for maths games in school. If you have any free time, and you’ve done all the other activities, perhaps you’d like to spend some time on here!

This Week’s Answers Term 6 Week 2

Check and Correct!

Answers: Task 1: (20 minutes) Mental Maths! Easier Sheet (See next page for Challenge Sheet – choose which one you’d like to do!)

Answers: Task 1: (20 minutes) Mental Maths! Challenge Sheet (See previous page for Easier Sheet – choose which one you’d like to do!)

6m

Answers: Task 2:

Addition Questions (10 minutes)

Make sure you are

keeping your addition skills sharp!

Practise adding one, ten,

and one hundred.

For the last few questions, you will need to use your subtracting

skills too.

Answers: Task 3: (5 minutes) What is the unit fraction for the shaded part of the

shapes?

1 2 3

4 5 6

1/5 1/4

1/8 1/7

1/3

1/10

Answers: Task 4:

(10 minutes) Easier

For each of the

circles, what fraction is shaded?

You will need a

numerator on the top (how many

parts are shaded) and a denominator

on the bottom (how many parts

altogether?)

Use the previous page to help you.

1

2

3

4

5

6

7

8

9

10

1 2

4 6

1 5

2 4

2 3

2 5

3 6

3 4

1 3

1 2

Answers: Task 4:

(10 minutes) Challenge

For each of the squares, what fraction is shaded?

You will need a

numerator on the top (how many parts are

shaded) and a denominator on the

bottom (how many parts altogether?)

Use the previous page to

help you.

NB. Goes up to more than tenths!

1

2

3

4

5

6

7

8

9

10

11

12

5/9 8/12 1/2

10/16 2/4 6/8

16/25 4/6 7/9

4/10 1/4 4/9

Answers: Task 5:

(10 minutes)

Easier

For each of the shapes, what

fraction is shaded?

You will need a numerator on the

top (how many parts are shaded) and a

denominator on the bottom (how many parts altogether?)

Use the previous page to help you.

h.

3/4 5/8 1/2

2/4 3/6

5/9

2/2 or 1 whole 1/6 4/9

3/8 2/5 2/4

Answers: Task 5:

(10 minutes)

Challenge

For each of the shapes, what fraction

is shaded?

You will need a numerator on the

top (how many parts are shaded) and a

denominator on the bottom (how many parts altogether?)

Use the previous page to help you.

1

2

3

4

5

6

7

8

9

10

13

11

12 18

14

16

15

17

6/7

1/8

5/9 7/8

2/3

1/2

1/2 3/4

1/2

1/5

3/5

4/6

4/7

8/9

2/6

1/4

2/3

2/8

Answers: Task 7: Counting in Tenths (10 minutes)

• Can you fill in the sequence? Copy it into your book and fill in the gaps. Then have a go at the bottom test. The first one has been done for you.

• Challenge: can you write it backwards?

3 1 2 3

4 5 6

1

4

5 7

10 10

10 10 10

9

3 5 6 7

2

9

10 10 10 10 10 10

Answers: Task 8: (10 minutes) On each row, how many tenths are

shaded? E.g. Number 1 = 3/10. 1. 3/10, 2. 5/10, 3. 2/10, 4. 8/10, 5. 6/10, 6. 1/10, 7.

10/10 or one whole, 8. 7/10, 9. 4/10, 10. 9/10. 1. 1 2 3 4 5 6 7 8 9 10

2.

3.

4.

5.

6.

7.

8.

9.

10.

Answers: Task 9: (10 minutes)

Have a go at these activities based on tenths:

How many tenths are shaded?

1 2 3

4 5 6

one three seven

two five nine

Answers: Task 9 (continued): (10 minutes) Have a go at these activities based on tenths.

7 8 9

10

four eight six 4 10

8 10

6 10

1 10

10

1 10 1/10

Answers: Task 10:

(10 minutes) Have a go at these activities based on tenths.

1

2

3

4

5

6

7

4 10

7/10

2 10

6 10

8 10

9 10

Two tenths

Five tenths

5/10

7/10

2/10

Answers: Task 10 (continued):

(10 minutes) Have a go at these activities based on tenths.

8

9

Three tenths 3 10

4/10 5/10 6/10 7/10

Answers: Task 11: (10 minutes)

Have a go at these activities based on

tenths.

1

2

3

8 10

7 10

3 10

6 10

5 10

4 10

3 10

8 10

2 10

6 10

8 10

4 10

3 10

5 10

1 10

8 10

4

5

6

7

4 10

1 5/10

2 2/10

11/10, 13/10, 15/10, 17/10, 19/10

Answers: Task 11 (continued): (10 minutes)

Have a go at these activities based on tenths.

Answers:

Task 12: (10 minutes)

Counting in tenths – Challenge Activity

How many tenths are

there?

Some of these are fractions, and some are mixed numbers

Don’t forget that ten tenths (10/10) is one

whole (1).

e.g. Number 12: 3 and 4/10.

1. 5/10 2. 3/10 3. 7/10 4. 1 and 1/10 5. 3 and 8/10 6. 1 and 4/10 7. 1 and 6/10 8. 1 and 2/10 9. 1 and 9/10 10. 6/10 11. 2 and 3/10 12. 3 and 4/10 13. 3 and 8/10 14. 7 and 5/10

Note: these should not be written with the ‘and’, and the fractions should be one number over the other with a horizontal line – my computer prevents me!

Answers:

Task 13:

(10 minutes)

Write the shaded part of the shape as a

decimal.

It might help you to write it as a fraction

first.

e.g. Number 1 (done for you):

2/10 are shaded (two

tenths), so the decimal is 0.2.

1

2

3

4

5

6

7

8

0.5

0.6

0.4

0.7

0.1

0.9

0.3

Answers:

Task 14:

(10 minutes)

Have a go at these activities using decimals.

Look back at

the help pages if you get

stuck.

8.2 8.4 8.7

2.1 2.2 2.3 2.4 2.6 2.7 2.8 2.9

1.1 1.4 1.6 1.9

4.2 4.3 4.4 4.6 4.7 4.9

2.6

5.9

3.1

7.8

6.0

4.8

Answers:

Task 15:

(10 minutes)

Have a go at these

problems involving fractions.

2

3

12

Answers:

Task 16:

(10 minutes)

Have a go at these

problems involving fractions.

3

38

5