Maths Home Learning Monday 29th-Friday 3rd July

1

Hi Year 5 children,

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, look out for Bonnie my dog somewhere hidden in the slides dog –you’ll have to read the slides really carefully!

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

• The answers for tasks are at the end of the PowerPoint.

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

Starters- all about fractions to make sure you are not forgetting your fraction knowledge.

Main part of lessons-Investigations of Positions/Directions and Angles.

2

Monday -Starter

Fractions Pairs

Record in your Home Learning book each pair of fractions. Remember what ever you do to the numerator (top number), you do to the denominator (bottom number).

Hint- start with a blue tile, multiply both the numerator and denominator by 2 then see if there is a pair, if not multiply the original by 3.

3

Monday –Pentominoes Investigation

Exploring Patterns, Rotation and Reflection

What is rotation?The turning of a shape less than 1 full turn.

What is reflection? When a shape stays the same size but moves with all vertices (corners) the same distance from a central or mirror line.

What does the prefix pent mean? 5.

What are pentominoes?Pentominoes are shapes made by joining 5 squares together. Squares must touch along their sides, not their corners, like these:

4

There are 12 different pentominoes to find – you have already seen 2 of them.

Be careful though – rotations and reflections do not count.For example:

These are all the same pentomino, they are just rotated.

Monday –Pentominoes Investigation

Exploring Patterns, Rotation and Reflection

These are the same, just reflected.

5

Task 1 (all):

Using the square paper in the Home Learning folder, see if you can find all 12 pentominoes.

Choosing a different colour for each pentomino will make it easier for you to spot the different combinations. Remember to make sure none of the shapes are reflections or rotations of each other.

You will find the 12 pentominoes on the next slide.

6

Did you manage to find all 12? You can check now. Look carefully to ensure you haven’t repeated any by rotating or reflecting them.

Here they are:

I didn’t find this one!

I drew this twice, 1 was just rotated around.

7

Continuing Task 1:

Count the number of edges around the outside of each of the successful pentominoes that you found and record it next to the shape. This will give you the perimeter. Answers at the end of the PowerPoint.

Challenge: Are these all the same? Why is this?

Now next to your pentominoes work, complete these sentences:

Rotation is…Reflection is…Translation is…When finding pentominoes, you have to think carefully about…Perimeter means…

The perimeter of this pentomino is 12 squares.

8

Challenge:

See if you can make rectangles or other shapes using just some of your pentominoes, not leaving any gaps.

For example, this rectangle only uses 6 pentominoes and there are no gaps.

Bonnie loves a tasty treat. She hasn’t quite worked out how to use a knife and fork, but she can hold her treats well with her paws!She was given this treat when she for once didn’t make the Postman jump with her woofing.

9

Tuesday - Starter

Look carefully at each of these fractions and decide which box they should go in. Check at the end of the PowerPoint to see if you were correct. You can record these or just have a think about where you’d place each fraction.

10

Tuesday- Investigating and Identifying Acute, Obtuse and Reflex Angles

There are 2 short videos for you to watch, to remind you about the different types of angles. Please try to watch both.

https://www.bbc.co.uk/bitesize/topics/zb6tyrd/articles/zg68k7h

https://www.youtube.com/watch?v=DGKwdHMiqCg -Some of the vocabulary is quite challenging in this one, but the diagrams are very useful for you.

11

You know a right angle is 90 degrees.This knowledge helps you to compare the size of angles.

An acute angle is less than a right angle- so less than 90 degrees. An obtuse angle is larger than a right angle, but less than a straight line- so over 90 but less than 180.

When you put 2 right angles together like this, you get a straight line.

12

To measure angles accurately, we measure them in degrees.

One full turn is a turn of 360 degrees, or 360 ˚.

Reflex angles are greater than 180 ˚ but less than 360 ˚. This angle is 225 ˚ so it is a reflex angle.

13

In your Home Learning book write down the size of each angle and the type of angle it is.

14

Miss Law says it depends whether it is the angle inside the shape or outside the shape, the arrow is unclear. Outside would be a reflex and inside an obtuse angle.

Miss Ring says this is a reflex angle.

15

Task (all):In your Home Learning book write these headings:

Acute Angles Right Angles Obtuse Angles Reflex Angles

You are going to take your Home Learning book around your house (and garden if you have one) to find as many examples as you can of these angles. Set yourself a sensible time limit of 30 minutes or more, using a watch or a clock or a phone timer.

This will really help your understanding for tomorrow’s lesson.

Challenge:

How many different angles can you identify in this part of

the climbing frame? Label the angles you find.

16

Wednesday - Starter

Improper fraction- when the numerator is bigger than the denominator.

Mixed fraction- a whole number and a proper fraction.

Hint- multiple the whole number by the denominator, then add the numerator to that number making your new numerator. The denominator stays the same. So 4 1/10 you would do 4x10= 40Then 40+1= 4141/10

17

Wednesday- Comparing Angles

Always, sometimes or never?

If you add 2 acute angles you get a right angle.

Reflex angles are less than 350 degrees.

2 right angles make a straight line.

1/4 of a turn = 1 right angle = ? 1/2 of a turn = ? right angles ? of a turn = 3 right angles = ? degrees A full turn = ? right angles = ? degrees

Think carefully about the angles you found yesterday, then jot down in your Home Learning book your answers to these questions.

18

Wednesday- Comparing Angles

Always, sometimes or never?

If you add 2 acute angles you get a right angle – sometimes as it would depend on the size as to

whether they add up to 90˚, it could be 10˚ and 5 ˚.

Reflex angles are less than 350 degrees- sometimes as reflex angles can be up to 359 ˚.

2 right angles make a straight line- always.

1/4 of a turn = 1 right angle = 90 ˚

1/2 of a turn = 2 right angles 3/4 of a turn = 3 right angles = 270 degrees A full turn = 4 right angles = 360 degrees

19

Meet it Task:For each group of angles, write the order of angles with the smallest first. For example d, b, a, c (not the real answer).

Then write down which angles are acute, obtuse or reflex.

Beat it Task: Same instructions as the Meet it, using these angles.

1.

2.

3.

a b

c d

e f g

h

i

j k

20

Smash it Task:For each group of angles, write the order of angles with the smallest first. For example A, B, C, D (not the real answer).

Then write down which angles are acute, obtuse or reflex.

Challenge:Estimate how many degrees you think each angle is. Remember acute angles 1-89 degrees, 90 degrees right angle, 91-179 degrees obtuse, greater than 180 degrees reflex up to 359 degrees. 360 degrees is a full turn.

21

Thursday - Starter

When comparing fractions, remember you MUST have common denominators. Sometimes you can keep one of the fractions the same.

For example: Which is greater 1/3 or 2/12

3 goes into 12 so we can convert 1/3 into 12ths.

1/3= 4/12 (numerator and denominator x by 4)

Now we have which is greater 4/12 or 2/12 which we know is 4/12.

22

Thursday –Calculating Missing Angles

https://app.mymaths.co.uk/4779-lesson/angles-4

For this lesson’s explanation please log onto MyMaths, where there are moving diagrams to explain how you calculate missing angles. Remember the username is knaphill and password is cosine185.

So 49+ ?= 90.

To find out what ? is we can rearrange this.

90-49= ??= 41˚

23

So 119+ ?= 180.

180- 119= 61˚.

So 49+ ?= 360. 360- 49= 311˚

24

Work out the missing angles. Remember the angles on a straight line add up to 180˚. The angles in a full turn add up to 360 ˚.

Task- Meet it: Task- Beat it:

25

Work out the missing angles. Remember the angles on a straight line add up to 180˚. The angles in a full turn add up to 360 ˚.

If an angle is repeated like in question 6, where you have 5 fs, it means all of those angles are equal.

Task- Smash it:

Challenge:

Decide which angle/s you can find first, in order to find all of them. So on question 13, you can see the square angle= 90˚.

90+63= 153.180-153 gives you o.

Well-being Friday

26

‘Walk a mile in somebody else’s shoes’- show an understanding of how other people feel or what they have experienced.

In 1965 the UK moved from an imperial system of measurements to a metric system, but some of the imperial measurements we still use which is confusing! We changed system so it is easy to convert.

Adam is planning a holiday to the UK. He has always lived in Lyon, in France and hasn’t heard of imperial measurements. He is feeling quite nervous about not understanding the measurements, can you help him?

Well-being Friday

27

Metric Measurements:

Length- millimeters, centimeters, meters, kilometresMass- kilograms, gramsVolume- litres, millilitres Imperial Measurements:

Length- miles, feet and inchesMass- pounds (lb) and ounces (oz) and stones (st)Volume- pints and gallons

Which of these measurements have you heard of? Which ones do you use?

28

Select at least 1 of these tasks to help explain more about metric and imperial measurements:

• Complete the lesson on MyMaths converting between a range of metric and imperial measurements. https://app.mymaths.co.uk/1700-lesson/imperial-measures (Username knaphilland password cosine185).

• Create a mind map explaining the links between metric and imperials units dividing up length, mass and volume. Include the names of the measurements and how they can be converted. Length- 1 inch – 2.54cm. These sites might help you.

https://www.bbc.co.uk/bitesize/topics/z4nsgk7/articles/zwbndxshttps://www.bbc.co.uk/teach/skillswise/imperial-and-metric/z66qrj6• Write a timetable of things Adam could do in the UK, including the timings, places and the

measurements he needs to be aware of- there could be a height restriction at a park, he might go into a restaurant, he might go on a British cooking course and he could be walking around Sainsburys looking at British foods and drinks.

29

Monday AnswersStarter:

1/9= 3/273/7= 9/212/5= 18/454/5= 36/453/11= 6/226/9= 30/454/7 = 16/284/12= 8/24

The perimeter of all pentominoes was 12 squares apart from this shape, which has a perimeter of 10 squares. This is because the 4 squares that are put together to make a larger square, decreasing the outside perimeter.

30

Tuesday - Answers

Starter:

Proper fraction- when the numerator is smaller than the denominator.

Improper fraction- when the numerator is bigger than the denominator.

Mixed fraction- a whole number and a proper fraction.

31

Wednesday AnswersStarter:

Meet it: 1. a acute, b acute, c right angle, d reflex.2. g acute, f acute, e acute, h reflex. 3. k, j, i all reflex.

Beat it: 1. a, d, b, c 2. g, e, f, h 3. l, j, k, i

4. n, p, o, m 5. r, q, s 6. t, v, u.

7. z, w, x, y.

Types of angles:Acute- e, g, j, l, n, o, p, r, w, z.Obtuse- a, d, f, k, q, t, u, v, x, y. Reflex- b, c, h, I, m, s,

Smash it:1. a, g, j, e, h, c, d, i, f, b.2. A, D, C, E, B.3. F, J, H, I, G, K. 4. O, M, P=Q, L, N.5. R, T, S, V, U. 6. Acute- a, g, j, A, C, D, F, H, J, M, O, R, T.

Obtuse- c, e, h, E, G, I, L, P, Q, S, V.

Reflex- b, d, f, I, B, K, N, U.

32

Thursday- Answers

Starter:

Meet it:1. a 40˚2. b 70˚3. c 75 ˚4. d 35˚5. e 100˚6. f 125 ˚7. g 290˚8. h 30˚9. i 260˚10. j 120˚11. k 200˚12. l 310˚

Beat it:1. a 79˚2. b 122˚3. c 43˚4. d 51˚5. e 94˚6. f 102˚7. g 102˚8. h 279˚9. i 54˚10. j 191˚11. k 313˚12. l 126˚

Smash it:1. a 60˚2. b 64˚3. c 66˚4. d 47˚5. e 42˚6. f 36˚7. g 226˚8. h 139˚9. i 72˚10. j 158˚11. k 56˚12. l 37˚

Challenge:13. m 63˚ n 117˚ o 27˚14. p 79˚ q 101˚ r 67˚15. s 48˚ t 132˚ u 75˚16. v 49˚ w 131˚17. x 60˚ y 54˚18. z 37˚ a2 74˚ b2 106˚