Maths Home Learning

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Hi Year 5 children,

We are all missing you lots, if you want to talk to your teachers or need any help with any of the learning, please email us at year5@kfos.co.uk. Please put your teacher’s name and your class in the subject, so that your teacher can respond.

For a bit of fun, each week somewhere in the Maths slides you will find an update about something my (Miss Law’s) dog Bonnie has been up to and a photo of her. You will have to read the slides really carefully!

Converting units of measurement.

Monday 1st –Friday 5th June

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Updates:

• For some lessons, you can choose to either complete the lesson online using the Oak National Academy website (calculations and answers should still be shown in your Home Learning book), then the set tasks on here, or as previously following the tasks on here.

• Every Friday you will now have well-being related activities for all subjects. The Maths will be fun, feel-good activities.

• The answers for tasks will continue to be at the end of the PowerPoint.

• The White Rose website has useful additional videos https://whiterosemaths.com/homelearning/year-5/

• For further support, more practice questions and for challenges, log onto MyMathsusername: knaphill password: cosine185

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Monday -Starter

How close can you get to making 198, when only using each of these numbers once?

You could start with the 75 and times it by the different numbers until you get fairly close to 198.

The answer is at the end of the PowerPoint.

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Converting between Miles and Kilometres

Log onto The Oak National Academy following this link, go onto Week 4, Monday maths- to convert miles to kilometres. You will need your pencil and Home Learning book and be ready to make notes. https://www.thenational.academy/year-5/maths/to-convert-miles-and-kilometres-year-5-wk4-1Then complete the task set on here for Monday.

Look out for the pause sign, it means stop and think about how you will answer the set

question.

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Monday- Converting between Miles and Kilometres.

Metric- based on tens, hundreds and thousands so that they can be easily converted between e.g km, cm, mm).Imperial- older units of measurement, some we still use like miles, inches and yards.

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Metric measures Imperial measures

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Look carefully at these conversions, remember they are the same distance, but in different units of measurement:

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Conversions are a bit like fractions, what you multiply or divide one side by, you have to do the same to the other side.

10 miles= ?km

To work this out we know 5miles=8km so we do 5x2= 10 (because the conversion is 5miles=8km)So 8x2=16km

20 miles= ?km

5x4= 20 (we x4 because there are 4 lots of 5 in 20)So 8x4= 32So 20miles= 32km

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Select 2 of these to convert- remember to use the conversions.

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Meet it Task:

Record in your Home Learning book the missing miles and kilometres.

Reminders: 5miles= 8km (approximately)

4>34 is bigger than 3.

1<21 is less than 2.

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Beat it Task:

Record in your Home Learning book the missing miles and kilometres.

5miles= 8km (approximately)

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Smash it Task:

Record in your Home Learning book the missing miles and kilometres.

5miles= 8km (approximately)

Challenge:

Niamh drives from Northern Ireland to Southern Ireland. In Northern Ireland the road signs show miles, in Southern Ireland, they are in kilometres.

Write down 8 conversions that will be useful for her to know of miles to kilometres- don’t make them too similar.

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Tuesday - Starter

Log onto Time Tables Rock Stars and challenge your teacher to a match!

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Tuesday and Wednesday– Converting Units of Mass

Option 1- Log onto The Oak National Academy following this link, go onto Week 4, Wednesday Maths- to convert units of mass. You will need your pencil and Home Learning book and be ready to make notes. https://www.thenational.academy/year-5/maths/to-convert-units-of-mass-year-5-wk4-3#slide-2

Then complete the task set on here for Tuesday.

Option 2- continue with the slides.

Look out for the pause sign, it means stop and think about how you will answer the set

question.

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Tuesday – Converting Units of Mass

We will be using metric measurements – tonnes, kilograms and grams. 1 tonne = 1000kg1kg= 1000g

Mass and Weight- are they the same?The words mass and weight can be confusing – they don’t quite mean the same thing. Think about a gold bar, the mass measures how much gold there is. The mass (or amount of gold) would be the same on the Moon as on the Earth as the gold bar is still the same bar. The weight is how much downward force the gold bar has, as you know from your Space topic, the downward force is very different in Space as there is less gravity. On Earth, mass and weight are very similar, so when we say how heavy something is, we tend to give the mass.

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Tuesday – Converting Units of Mass

We are using mass today and working with metric measurements – tonnes, kilograms and grams.

1 tonne = 1000kg1kg= 1000g

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Let’s estimate the mass of these items. First, think about which would have the biggest mass (heaviest).

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Let’s convert the masses of these kittens into grams:

2.5kg We need to x kg by 1000 so 2.5x1000= 2500gNow have a go at working out the other masses.

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a) 2.5kg= 2500g b) 4.2kg= 4200g c) 3.25kg= 3250g d) 1.75kg= 1750ge) 3.6kg= 3600g f) 2.9kg=2900g

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Now convert these grams into kilograms:

3500g 6100g

3500 ÷1000= 3.5kg or 3 1/2kg

6100 ÷1000= 6.1kg or 6 1/10kg

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Now let’s convert these masses into grams:2 1/2kg = 2.5kg = 2500g5 3/4kg = 5.75kg = 5750g4 1/10kg= 4.1kg= 4100g

Convert these kilograms to grams: 8 3/4kg=6 1/10kg= 9 1/2kg=2 3/10kg=

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Now let’s convert these masses into grams:2 1/2kg = 2.5kg = 2500g5 3/4kg = 5.75kg = 5750g4 1/10kg= 4.1kg= 4100g

Convert these kilograms to grams: 8 3/4kg= 8750g6 1/10kg= 6100g9 1/2kg= 9500g2 3/10kg= 2300g

Bonnie is fascinated by everything around her, I came across this photo of her recently when she first experienced snow!

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Task:If you watched the video, it was converting tonnes to kilograms where you were multiplying and dividing by 1000. Converting between kilograms and grams are multiplying and dividing by 1000 too. Meet it: Questions 1-3 recording answers in your Home Learning book.

Beat it/Smash it: Questions 1-6 recording answers in your Home Learning book.

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Challenge:For the lower 3 suitcases, see if you can present your answers in more than 1 way.

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Wednesday - Starter

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Wednesday- Continuing to Convert Units of Mass (second part of the lesson).

Use the slides from Tuesday’s lesson to help you apply your knowledge to these word problems. You can either present your answers in kg or g.

Meet it:

Beat it

500g= 0.5kg2.35kg= 2350g1.2kg= 1200g

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Wednesday- Continuing to Convert Units of Mass (second part of the lesson).

Use the slides from Tuesday’s lesson to help you apply your knowledge to these word problems.

Present your answers in both kg and g unless it asks for just one of these.

Smash it:

0.8kg= 800g

Thursday-starter

Record 25 in your book. Around it record number sentences that give you an answer of 25.

Challenge- can you use all 4 operations (addition, subtraction, multiplication and division)?

100 ÷4

25 0.25x100

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Thursday- a day of choice!

Smash it – you will be Converting between Pounds and KilogramsYou must log onto The Oak National Academy following this link, go onto Week 4, Thursday Maths- to convert between pounds and kilograms. You will need your pencil and Home Learning book and be ready to make notes. https://www.thenational.academy/year-5/maths/to-convert-between-pounds-and-kilograms-year-5-wk4-4Then read the slides and answer the tasks.

Meet it and Beat it- you will be revising multiplying and dividing by 10, 100 and 1000 as the metric system of conversions require you to use these skills.

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Option 1- Converting between Pounds and Kilograms

Option 1- Log onto The Oak National Academy following this link, go onto Week 4, Thursday Maths- to convert between pounds and kilograms. You will need your pencil and Home Learning book and be ready to make notes.

https://www.thenational.academy/year-5/maths/to-convert-between-pounds-and-kilograms-year-5-wk4-4Then complete the task set on here for Thursday.

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Task:Use the conversions from the previous slides and the ones below to help you convert between kilograms and pounds. Then explain why metric measurements are so much easier to convert with, than imperial measurements.

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Option 2 - Revising Multiplying and Dividing by 10, 100 and 1000

When you multiply by 10, the digits stay the same, you just move them 1 place (10 has 1 place holder 0).

So 8.5x10= 85Have a go at the other questions.

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Option 2 - Revising Multiplying and Dividing by 10, 100 and 1000

When you multiply by 100, the digits stay the same, you just move them 2 places (100 has 2 place holder 0s).

So 8.2x100= 820Have a go at the other questions.

0.44 X 100 means each digit moves 2 places to the left, getting bigger.

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Option 2 - Revising Multiplying and Dividing by 10, 100 and 1000

1.234 X 1000 means each digit moves 3 places to the left, getting bigger.

So 1.234 x1000= 1234

When dividing the same rules apply, but move the digits to the right, not left.

75.2 ÷10= 7.52 Each digit has stayed the same, but moved one place to the right.

873.4 ÷100= 8.734 Each digit has moved two places, getting smaller.

356.9 ÷ 1000= 0.3569 Each digit has moved three places, getting smaller.

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Task - Meet it:

Carefully copy and complete these tables into your Home Learning book. Remember the rules –all the digits stay the same but just moved right or left.

5.7 x10 so move 5.7 one place.

5.7 x100 so move 5.7 two places.

5.7 x1000 so move 5.7 three places.

The inverse (opposite) for division.

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Task - Beat it:

Carefully copy and complete these tables into your Home Learning book. Remember the rules –all the digits stay the same but are just moved right or left.

4.02 x10 so move 4.02 one place.

4.02 x100 so move 4.02 two places.

4.02 x1000 so move 4.02 three places.

The inverse (opposite) for division.

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Friday Well –Being Day

The Year 5 teachers really like this piece of art and thought you’d enjoy your work being linked to this. You don’t have to have superpowers to be someone’s hero, like the nurse in the picture.

Today you are going to be creating your own Maths themed piece of art, based on this piece called Composition 8, by Kandinky.

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Friday Well –Being Day

Task:Using a pencil/pencil colours/ pens and a ruler, you are going to draw many different shapes to make your own piece of art. Here is what to include in your picture, but you can include many more:• An equilateral triangle (all sides equal)• A square • A pentagon (5 sides)• Hexagon (6sides) • A parallelogram• A rhombus• A kite• A regular octagon (all sides equal)• A regular nonagon (all 9 sides equal)• A decagon (10 sides)

Challenges:A regular shape has equal length sides and equal angles. Draw at least 4 regular polygons (shapes with all straight sides).

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Answers-Monday

Meet it:

Beat it:

Starter: Make half of 198 then x2. 75+10+2=8787+7= 9494+5= 99Then 99x2= 198

Smash it:

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Answers-Tuesday

Tuesday Challenge Answers:

12.1kg= 12100g18.07kg= 18070g23 ¾kg= 23750g

16300= 16.3kg or 16 3/10kg20050g= 20.05kg 19250g= 19.25kg or 19 1/4kg

Wednesday Answers

Meet it: Beat it: Smash it:

1) 3.7kg or 3700g 1) 1.65kg or 1650g 1) 160g

2) 5 2) 1.65kg 2) 3.195kg

3) 2.4kg 3) 120 cubes 3) 3.4kg

4) 2.3kg 4) 4 bags 4) 640g

5) 1.25kg 5) 0.2kg or 200g 5) 16.8kg

6) 450g 6) 19.95kg 6) 185g

Starter:

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Thursday -Answers

Meet it:

Beat it:

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Thursday Answers:Smash it: