60
Year 5 Maths Home Learning Term 6 Week 5
Year 5 Maths Home Learning
Term 6 Week 5
On the following two slides is a knowledge organiser for decimals to help you with tasks
4 and 5.
Look out for this picture on the slides – you will find something to help you if you need a
little support.
If the text and images aren’t appearing properly on the PowerPoint version of the
tasks, try the PDF.
Task 1 – Brain warm-up!
Watch the video ‘Which Graph’ Monday 1st June (start playing at 6:42) via this
link http://www.iseemaths.com/lessons56/ and have a go at the tasks on the next
slides.
Don’t worry about printing this page: you can discuss the answers with someone at home or label the descriptions a,b,c,d,e and number the pictures 1,2,3,4,5 and write the matching pairs in to your books.
Answers
Task 2 – Arithmetic Test
Can you beat your time and score from last week?
Answers
Task 3 – Revise It!LO: To multiply proper fractions and mixed numbers by whole numbers
(integers), supported by materials and diagrams.
Instructions:This is a revision lesson which includes a ‘Learn It’ task for you to complete, then ‘Twist It’ and ‘Deepen It’ questions to extend your thinking. Try your very best to complete as much as you can.
Work through each of the slides, writing down your answer and any working out you have done for each question in your book.
Self-mark as you go along – the answers will appear in green on the next slide.
Copy and paste this link to BBC Bitesizehttps://www.bbc.co.uk/bitesize/articles/z76j2sg
and watch the video tutorial for multiplying mixed numbers by an integer.
Multiply Mixed Numbers by Integers
1) Match each calculation to the correct answer. Use your favourite method from the video! You might need to simplify your answer.
354 × 4
4102 × 3
285 × 4
443 × 3
12 53
10 21
15 51
14 41
12 53
15 51
10 21
14 41
Learn It
Multiply Mixed Numbers by Integers
1) Match each calculation to the correct answer. Use your favourite method from the video! You might need to simplify your answer.
354 × 4
4102 × 3
285 × 4
443 × 3
12 53
10 21
15 51
14 41
12 53
15 51
10 21
14 41
Learn It
Insert White Rose AimTwist
ItMultiply Mixed Numbers by Integers
Ted is making bubble mixture for his bubble machine. To make one portion, he mixes litres of water with tablespoons of washing-up liquid.
3 83 2 5
3
Ted makes one portion of bubble mixture for himself and one each for his three friends.
How much water will he need? How many tablespoons of washing-up liquid will he need?
Insert White Rose AimTwist
ItMultiply Mixed Numbers by Integers
Ted is making bubble mixture for his bubble machine. To make one portion, he mixes litres of water with tablespoons of washing-up liquid.
3 83 2 5
3
Ted makes one portion of bubble mixture for himself and one each for his three friends.
How much water will he need? How many tablespoons of washing-up liquid will he need?
3 83 × 4 =
3 × 4 = 12
83 × 4 = 8
12 = 1 84 = 1 2
1
1 2112 + = 13 2
1 litres of water
2 53 × 4 =
2 × 4 = 8
53 × 4 = 5
12 = 2 52
2 528 + = 10 5
2 tablespoons ofwashing-up liquid
Insert White Rose AimTwist
ItMultiply Mixed Numbers by Integers
Calculate the answers then complete the statements using the symbols <, > or =.
2107 × 6 3 5
4 × 4
5 87 × 2 44
1 × 3
Insert White Rose AimTwist
ItMultiply Mixed Numbers by Integers
Calculate the answers then complete the statements using the symbols <, > or =. Simplify your answers if you can!
2107 × 6 3 5
4 × 4
5 87 × 2 44
1 × 3
>
<
16 51 15 5
1
11 43 12 4
3
Insert White Rose AimMultiply Mixed Numbers by Integers Twist It
Insert White Rose AimMultiply Mixed Numbers by Integers Twist It
Insert White Rose AimMultiply Mixed Numbers by Integers Twist It
On average, a shower uses litres of water, and people shower 3 or 4 times a week.
How much more water every year does showering 4 times a week use than showering 3 times a week?
50 53
Insert White Rose AimMultiply Mixed Numbers by Integers Twist It
On average, a shower uses litres of water, and people shower 3 or 4 times a week.
How much more water every year does showering 4 times a week use than showering 3 times a week?
50 53
3 showers a week 50 53 × 3 = 151 5
4 litres of water a week
151 54 × 52 = 7893 5
3 litres per year
4 showers a week 50 53 × 4 = 202 5
4 litres of water a week
202 52 × 52 = 10 524 5
4 litres per year
10 524 54 – =7893 5
3 2631 51 litres
Showering 4 times a week uses litres of water2631 51
more per year than showering 3 times a week.
Task 4 – Learn It!LO: read, write, order and compare numbers with up to three
decimal places.
Instructions:This lesson introduces some new learning.
It includes a ‘Learn It’ task for you to complete, then optional ‘Twist It’ and ‘Deepen It’ questions to extend your thinking. Try your very best to complete as much as you can.
Work through each of the slides, writing down your answer and any working out you have done for each question in your book.
Self-mark as you go along – the answers will appear in green on the next slide.
Copy and paste this link to BBC Bitesizehttps://www.bbc.co.uk/bitesize/articles/z68
rn9q and watch the video tutorial for ordering and comparing decimals.
Learn It
Order and Compare Decimals Put these decimals in descendingorder (from largest to smallest).
10.1
0.01 0.0010.1
0.1 0.01
1.405km
Ones Tenths Hundredths
14321000
Write the decimals underneath each other in a place value grid (like in the video) to help you to compare
them.
Learn It
Order and Compare DecimalsPut these decimals in descending order.
10.1
0.01 0.0010.1
0.1 0.01
1.405km
Ones Tenths Hundredths
1.325
14321000
1.432
1.405
1.321
1.431.432, 1.43, 1.405, 1.325, 1.321
Learn It
Order and Compare Decimals
Complete these statements by using the correct symbol: <, > or =.
2 + 0.3 + 0.001
0.3643041000 3.2 3123
1000
1)
2) 3)
If the denominator is 1000 in the fraction, it means the final digit of the numerator appears in the thousandths column as a decimal
Learn It
Order and Compare Decimals
Complete these statements by using the correct symbol: <, > or =.
2 + 0.3 + 0.001
0.3643041000 3.2 3123
1000
2.031 2.301
<
> >
1)
2) 3)
Visual Representation Number
1.199
2.424
Twist It
Order and Compare Decimals
These decimals have been ordered smallest to largest. Write a decimal number to 3 decimal places that could be inbetween the two given decimals.
Then, draw representations to fill the gaps – you could draw place value counters, show the decimal on a number line or draw dienes.
Visual Representation Number
1.199
2.424
Twist It
Order and Compare Decimals
0.1
0.01 0.0010.1 0.1
0.011
1
0.1 0.0010.001
Multiple answers in the range of 1.2 and 2.423 possible.
Here are some representations that you could have drawn.
Ones Tenths Hundredths Thousandths
2 3
2.423
Order and Compare DecimalsDeepen
It
Sharon says 1.295 is greater than 1.35 because it has more digits.
Sharon is incorrect. Explain why.
Write the decimals underneath each other in a place value grid (like in the video) to help you to compare them.
Order and Compare DecimalsDeepen
It
Sharon says 1.295 is greater than 1.35 because it has more digits.
Sharon is incorrect. Explain why.
Sharon is not thinking about the value of the digits. 1.35 has three tenths, whereas 1.295 only has 2 tenths, therefore 1.35 is greater than 1.295.
Order and Compare Decimals Twist It
2 . 5 < 2 .
Using each digit card only once, find 5 possible solutions that complete this statement.
2 3 4
Order and Compare Decimals Twist It
2 . 5 < 2 .
Using each digit card only once, find 5 possible solutions that complete this statement.
Possible solutions:
2.235 < 2.344
2.335 < 2.424
2.245 < 2.433
2.425 < 2.433
2.245 < 2.334
2 3 4
Order and Compare Decimals Twist It
These numbers are in ascending order (smallest to largest). Complete the decimals using the digits 0-8, using each only once.
1. 1, 1.0 , 1. 2 , 1.1 8, 1. 6
0 2 31 4
6 75 8
Order and Compare Decimals Twist It
These numbers are in ascending order (smallest to largest). Complete the decimals using the digits 0-8, using each only once.
1. 1, 1.0 , 1. 2 , 1.1 8, 1. 6
0 2 31 4
6 75 8
There are many possible answers!
Task 5 – Learn It!LO: To recognise the per cent symbol (%) and understand that per cent relates to ‘number of parts per hundred’, and write percentages as a fraction with denominator 100, and as a decimal.
Instructions:This lesson introduces some new learning.
It includes a ‘Learn It’ task for you to complete, then optional ‘Twist It’ and ‘Deepen It’ questions to extend your thinking. Try your very best to complete as much as you can.
Work through each of the slides, writing down your answer and any working out you have done for each question in your book.
Self-mark as you go along – the answers will appear in green on the next slide.
Understand Percentages
Complete the statements about the 100 square.
Learn It
There are parts per 100 shaded.
% is shaded.
Understand Percentages
Complete the statements about the 100 square.
Learn It
There are parts per 100 shaded.
% is shaded.
8
8
Understand Percentages
Complete the statements about the 100 square.
Learn It
There are parts per 100 shaded.
% is shaded.
Understand Percentages
Complete the statements about the 100 square.
Learn It
There are parts per 100 shaded.
% is shaded.
34
34
a) 73 parts per 100
c) 7%
Understand Percentages
Put these percentages in order, from the smallest to the largest value percentage represented.
Twist It
b)
d)
a) 73 parts per 100
c) 7%
Understand Percentages
Put these percentages in order, from the smallest to the largest value percentage represented.
Twist It
b)
d)
d)c) 7%
a) 73 parts per 100b)
Insert White Rose Aim HereUnderstand PercentagesTwist
It
Ben colours in the whole of this 100 square using different colours.
He is only allowed to use colours in the percentage amounts given below:
45% = red 10 parts per hundred = yellow
25% = green 60 parts per hundred = pink
55% = black 20 parts per hundred = blue
35% = orange 5 parts per hundred = purple
Find different ways that Ben could colour in the whole 100 square using only 2 or 3 different colours. Find a way of colouring in 100% of the square that uses exactly 4 colours. Can you find more than one answer?
Insert White Rose Aim HereUnderstand PercentagesTwist
It
Ben colours in the whole of this 100 square using different colours.
He is only allowed to use colours in the percentage amounts given below:
Various combinations are possible:
• red (45%) + orange (35%) + blue (20%)
• black (55%) + green (25%) + blue (20%)
• pink (60%) + orange (35%) + purple (5%)
• red (45%) + black (55%)
45% = red 10 parts per hundred = yellow
25% = green 60 parts per hundred = pink
55% = black 20 parts per hundred = blue
35% = orange 5 parts per hundred = purple
Find different ways that Ben could colour in the whole 100 square using only 2 or 3 different colours.
Answers vary. example answers shown:• blue (20%) + green (25%) + red (45%) + yellow (10%)• pink (60%) + green (25%) + yellow (10%) + purple (5%)
Find a way of colouring in 100% of the square that uses exactly 4 colours. Can you find more than one answer?
Understand PercentagesDeepen
It
Before it got torn, Jack had coloured blue 45% of a 100 square.
Which of these torn pieces could have been from Jack’s 100 square? Which could not? Explain your answers fully.
This could not be part of Jack’s square: we can see that 73 out of 100 squares are still white, which means that only
27% of the square could have been coloured blue.
Understand Percentages
This could have been part of Jack’s square:we can see that 50
squares are still white. So out of the 50 missing
squares, 45 could be blue.
Deepen It
Before it got torn, Jack had coloured blue 45% of a 100 square.
Which of these torn pieces could have been from Jack’s 100 square? Which could not? Explain your answers fully.
This could not be part of Jack’s square:
we can see that 64 squares are still white which means that a maximum of 36% could have been coloured blue.
Additional Task 1
Answers
Additional Task 2
On the planet Vuv, there are two sorts of creatures. The Zios have 3 legs and the Zepts have 7 legs.
The great planetary explorer Nico, who first discovered the planet, saw a crowd of Zios and Zepts. He managed to see that there was more than one of each kind of creature before they saw him. Suddenly, they all rolled over onto their backs and put their legs in the air.
He counted 52 legs.
How many Zios and how many Zepts were there?
Do you think there are any different answers?
