Year 6 Maths Home Learning - Knaphill School€¦ · The beauty of Maths is that we can all do it...

Year 6 Maths Home Learning

Monday 29th June – Friday 3rd July 2020

1

Year 6 Home Learning TimetableMonday 29th June – Friday 3rd July 2020Please see a suggested timetable of the activities that we have outlined for our Year 6 children. Please feel free to amend the timetable to suit you.

Miss Fini, Mrs Harmston and Miss Wilson

Monday Tuesday Wednesday Thursday Friday

Times Tables Rock Stars – Complete some challenges with a times table of your choice.

Reading – Read 15 minutes of your book and record in your Homework Diary.

Times TablesRock Stars –Complete some challenges with a times table of your choice.

Reading – Read 15 minutes of your book and record in your Homework Diary.

Times Tables Rock Stars – Complete some challenges with a times table of your choice.

English English English English English

Maths Maths Maths Maths Maths

Topic - Art –Harry Potter Sketch

Topic -Yearbook

Art – Egyptian Skyline

PSHE – Transition to Secondary School

Topic –Mindfulness

Maths ActivitiesMaths activities will be differentiated into Meetit, Beat it and Smash it challenges where possible.You can choose whichever activity you would like;feel free to move onto more than one challenge.Wherever possible, please use a calculator tocheck your answers or use the answer slidesprovided.

3

Monday MathsMonday 29th June

4

5

L.O: To multiply fractions by an integer.Warm up

Holly says 1/3 of the shape is shaded. Is Holly correct yes or no? Explain how you know.

The diagram shows part of a number line.

Write in the missing numerators.

In this circle, each shaded part is 1/5 of the area of the circle. The two white parts have equal areas.

What fraction of the circle is one of the white areas?

6

L.O: To multiply fractions by an integer.Answers

Holly is correct as, if you split the middle box in the same way as the other two, 2/6 of the shape would be shaded, which is equivalent to 1/3.

2 3/5

3 17/20

What fraction of the circle is one of the white areas?

3/10 or an equivalent fraction.

7

L.O: To multiply fractions by an integer.

21

33 x

https://numberock.com/lessons/multiple-fractions-whole-numbers/

8

L.O: To multiply fractions by an integer.

21

33 x

Also means...

21

3 x 3 21

3 of 321

3 x 311

21

3 + 21

3 + 21

3

Which method do you prefer?

The beauty of Maths is that we

can all do it different ways!

9

L.O: To multiply fractions by an integer.

Also means...

21

3 x 3 21

3 of 321

3 x 311

21

3 + 21

3 + 21

3

Answer

= 2

The beauty of Maths is that we

can all do it different ways!

21

33 x

10

L.O: To multiply fractions by an integer.

How would you solve this

problem?

11

L.O: To multiply fractions by an integer.

21

34 x

Also means...

21

3 x 4 21

3 of 421

3 x 411

21

3 + 21

3 + 21

3

Which method do you prefer?

Some methods will lend

themselves more to certain

questions!

21

3+

12

L.O: To multiply fractions by an integer.

21

34 x

Also means...

21

3 x 4 21

3 of 421

3 x 411

21

3 + 21

3 + 21

3

Answer =

Some methods will lend

themselves more to certain

questions!

21

3+

21

32

13

L.O: To multiply fractions by an integer.

As you solve each one, consider the

most efficient way to lay it out.

Examples: 21

3 x 4 21

3 of 4213 x 41

121

3 + 21

3 + 21

3

Challenge: order your answers from smallest to largest!

Change to an improper fraction first!

L.O: To multiply fractions by an integer.

Answers21

74 11

64 11

2321

510 11

310 11712

Challenge: order your answers from smallest to largest!

L.O: To multiply fractions by an integer.

Smallest to Largest

21

7411

6411

23 21

51011310 11

712

L.O: To multiply fractions by an integer.

21

542 ÷

Keep, Change,

flip!

Smash it Challenge Question. 2

1. Convert the fraction into an improper fraction.

2. Keep, change, flip!

121542 ÷

42 x51

12= 1711

2

L.O: To multiply fractions by an integer.

L.O: To multiply fractions by an integer.

19

Answers

Meet it:1. 32. 6 1/83. 84. 12 3/55. 4 2/76. 6 2/97. 3, 4 2/7, 6 1/8,

6 2/9, 8, 12 3/5

8. 26 ¼9. 5 5/7 and six

Beat it:1. 82. 12 3/53. 4 2/74. 6 2/95. 34 2/36. 2 hours 20 minutes7. 7 1/5 pounds8. 8 5/8 (9 pizzas)9. Jack: 1 1/3

Sam: 1 1/4Jack’s is bigger.

Smash it:1. 78cm2. 5 15/112 inches3. 280cm4. 20 4/175. 677 1/26. 1,820

L.O: To multiply fractions by an integer.

Tuesday MathsTuesday 30th June

20

21

Warm up

Write the missing digits to make this calculation correct.

The length of an alligator can be estimated by measuring the distance from its eyes to its nose and then multiplying that distance by 12.

What is the difference in the estimated lengths of these two alligators?

Solve this equation:

7y + 12 = 5y + 40

Hint: Don’t forget to keep the scales balanced!

L.O: To divide fractions by an integer.

22

Answers

7y + 12 = 5y + 40

7y = 5y + 282y = 28y = 14

What is the difference in the estimated lengths of these two alligators?

= 30

Write the missing digits to make this calculation correct.

4

7

6

L.O: To divide fractions by an integer.

23

L.O: To divide fractions by an integer.

31

5 ÷ 311

5=

24

L.O: To divide fractions by an integer.

31

5 ÷ 4

31

5 = 121

20x 4

121

20 ÷ 4

3120=

25

L.O: To divide fractions by an integer.Lee has 2/5 of a chocolate bar. He shares it between himself and 3 friends. How much chocolate do they get each?

21

5 ÷ 4 =Can you remember any other methods that we have used

in class before?

26

L.O: To divide fractions by an integer.Lee has 2/5 of a chocolate bar. He shares it between himself and 3 friends. How much chocolate do they get each?

21

5 ÷ 4 =21

5 = 41

10x 2

4110 ÷ 4 = 11

10

If it is possible, you can divide the numerator by the integer.ORYou can multiply the denominator by the integer. The bar models and equivalent fractions help us to understand what is actually happening to the fraction.

Don’t forget to simply as an automatic reaction!

27

L.O: To divide fractions by an integer.What about a fraction divided by a fraction?

21

5 ÷

Can you remember any other methods that we have used

in class before?

Keep, Change,

flip! https://www.youtube.com/watch?v=nMZJKGyu-Kk

=11

521

5 x =51

11015 =2

28

Log in to My Maths

Warm-up Task:https://app.mymaths.co.uk/94-lesson/dividing-fractions

Username: knaphillPassword: cosine185

Warm-up

L.O: To divide fractions by an integer.

29

Meet it Task

1. 3/4 ÷ 4 =2. 2/5 ÷ 3 =3. 3/7 ÷ 2 =4. 5/6 ÷ 6 =5. 2/3 ÷ 5 =6. 4/7 ÷ 2 =7. 9/11 ÷ 3 =8. 6/9 ÷ 6 =

9. There are twelve sweets in a bag. Seven of them are blue. The blue sweets are shared amongst five people. What fraction of blue sweets are left?

10. There are 6/8 of a pizza left. The pizza is split between seven people. What fraction of pizza do they each get?

11. Daniel uses 12/15 of a roll of wrapping paper to wrap four equal sized presents. What fraction of the roll of wrapping paper does each present use? Try to simplify your answer.

Don’t forget you could use the bar model to help you.

L.O: To divide fractions by an integer.

30

Beat it Task1. 3/4 ÷ 9 =

2. 8/9 ÷ 2 =

3. 2/3 ÷ 7 =

4. 9/10 ÷ 12 =

5. 2/9 ÷ 4 =6. Daniel uses 10/13 of a roll of wrapping paper

to wrap five equal sized presents. What fraction of the roll of wrapping paper does each present use?

7. A freshly made pie is split into 6 equal slices, if 4 slices get eaten, and the rest is split up between 3 people, how much of the pie does each person get? Challenge:- What percentage of pie do they each receive?

8. Work out the missing symbols:

9. Jack says, “The missing number in all these calculations is 12.” Do you agree with Jack? Explain your method and reasoning for each.

Don’t forget you could use the bar model to help you.

L.O: To divide fractions by an integer.

31

Smash it Task1. 5 3/5 ÷ 4 =

2. 7 1/2 ÷ 2 =

3. 2 4/7 ÷ 6 =

4. (1/5 + 7/10) ÷ 3 =

5. (7/9 + 1/3) ÷ 2 =

6. (3/4 + 1/2) ÷ 6 =

7. (4 8/9 ÷ 11) ÷ 8 =

8. (2 5/8 ÷ 7) ÷ 3 =

9. Work out the missing symbols:

10. Sarah says, “The missing number in all these calculations is 10”. Do you agree with Sarah? Explain your method and reasoning for each.

11. Work out the value for each of the symbols.

L.O: To divide fractions by an integer.

32

Meet it Task

1. 3/4 ÷ 4 = 3/162. 2/5 ÷ 3 = 2/153. 3/7 ÷ 2 = 3/144. 5/6 ÷ 6 = 5/365. 2/3 ÷ 5 = 2/156. 4/7 ÷ 2 = 2/77. 9/11 ÷ 3 = 3/118. 6/9 ÷ 6 = 1/9

9. There are twelve sweets in a bag. Seven of them are blue. The blue sweets are shared amongst five people. What fraction of blue sweets are left? 7/60

10. There are 6/8 of a pizza left. The pizza is split between seven people. What fraction of pizza do they each get? 3/28

11. Daniel uses 12/15 of a roll of wrapping paper to wrap four equal sized presents. What fraction of the roll of wrapping paper does each present use? Try to simplify your answer. 1/5

Answers

L.O: To divide fractions by an integer.

33

Beat it Task1. 3/4 ÷ 9 = 1/12

2. 8/9 ÷ 2 = 4/9

3. 2/3 ÷ 7 = 2/21

4. 9/10 ÷ 12 = 3/40

5. 2/9 ÷ 4 =1/186. Daniel uses 10/13 of a roll of wrapping paper to

wrap five equal sized presents. What fraction of the roll of wrapping paper does each present use? 2/13

7. A freshly made pie is split into 6 equal slices, if 4 slices get eaten, and the rest is split up between 3 people, how much of the pie does each person get? Challenge:- What percentage of pie do they each receive? 1/9, 11.1%

8. Work out the missing symbols:

9. Jack says, “The missing number in all these calculations is 12.” Do you agree with Jack? Jack is correct.

L.O: To divide fractions by an integer.Answers

34

Smash it Task1. 5 3/5 ÷ 4 = 1 2/5

2. 7 1/2 ÷ 2 = 3 3/4

3. 2 4/7 ÷ 6 = 3/7

4. (1/5 + 7/10) ÷ 3 = 3/10

5. (7/9 + 1/3) ÷ 2 = 5/9

6. (3/4 + 1/2) ÷ 6 = 5/24

7. (4 8/9 ÷ 11) ÷ 8 = 1/18

8. (2 5/8 ÷ 7) ÷ 3 = 1/8

9. Work out the missing symbols:

10. Sarah says, “The missing number in all these calculations is 10”. Do you agree with Sarah? Sarah is incorrect. The last calculation should be 12.

11. Work out the value for each of the symbols.

L.O: To divide fractions by an integer. Answers

30 8 15 42 36 9

Wednesday MathsWednesday 1st July

35

LO: To practise arithmetic skills

36

You can time yourself (like we would at school) for 30 minutes

ORYou can take as long as you need, trying to be as accurate as you

can.

On the next slide is an arithmetic test for you to have a go at.

It’ll be a good opportunity for you to practise these skills.

The answers will be at the end of today’s slides.

37

38

Thursday MathsThursday 2nd July

39

The Mystery of the Missing Pirate Treasure

The pirates of the Jolly Jack have been searching the Caribbean for months looking for the lost treasure of the Crusty Clam. Legend has it that the Crusty Clam was damaged in a terrible storm and washed up on an island. In its hold was said to be a treasure chest full of gold, jewels and gems.

The Jolly Jack’s captain, Olly Eyepatch, has thought of nothing but finding the lost treasure of the Crusty Clam. She has spent weeks searching through old pirate books and maps trying to find out which island the legendary treasure is buried on.

Can you help Olly Eyepatch and her pirate crew to solve the clues and find out which island the legendary treasure is buried on? Good luck!

The Mystery of the Missing Pirate Treasure

This is the list of possible suspects that you need to work from.

The next slide will give you a place to store your answers for the different clues.

You could write this down onto paper if it is easier.

The Mystery of the Missing Pirate Treasure

Detective Notes.

All the answers

are at the end!

Clue One: ___________________________________________

Clue Two: ___________________________________________

Clue Three: ___________________________________________

Clue Four: ___________________________________________

The buried treasure can be found on _____________________________________________________

Clue One:

Check these maths calculations. If a calculation is right, put a tick. If it is wrong, put a cross.

Count up the number of ticks and crosses.

If there are more ticks than crosses, the buried treasure is more than 150 metres above sea level.

If there are more crosses than ticks, the buried treasure is less than 150 metres above sea level.

Clue One: _________________________________

Clue Two

Use written methods of multiplication and division to solve these calculations. Colour the answers in the table below. Re-arrange the shaded words to find the second clue.

Clue Two: _____________________________________

Clue Three

Answer the questions about the tide on the mystery treasure island. Colour the answers in the table below. Re-arrange the shaded words to find the third clue.

Questions:

What is the height of the tide at 3:00pm in the afternoon?

How many hours did it take for the tide to change from its lowest level to its highest level?

What is the height of the tide at 7:00pm?

By how many metres did the tide level change between 2:00pm and 8:00pm?

By how many metres did the tide level change between 8:00pm and 11:00pm?

Clue Four

Order each set of numbers from the smallest to largest. Take the largest number in each set and colour it in the table below. Re-arrange the shaded words to find the final clue.

Clue Four: _____________________________________

The Mystery of the Missing Pirate Treasure

Detective Notes.

Fill out all of your answers!

Clue One: ___________________________________________

Clue Two: ___________________________________________

Clue Three: ___________________________________________

Clue Four: ___________________________________________

The buried treasure can be found on _____________________________________________________

The answers will be on the next few pages!

Good luck

The Mystery of the Missing Pirate Treasure

The Mystery of the Missing Pirate TreasureAnswers

The Mystery of the Missing Pirate TreasureAnswers

The Mystery of the Missing Pirate TreasureAnswers

The Mystery of the Missing Pirate TreasureAnswers

The Mystery of the Missing Pirate TreasureAnswers

The treasure can be found on the Ring of

Rocks Island.

Friday MathsFriday 3rd July

54

For Maths today, we’ve put together some games and activities for you. You can choose one (or more) that you’d like to have a go at!

https://www.topmarks.co.uk/maths-games/hit-the-button

. Play maths bingo! Get your family (or friends on Zoom) to write down 9 multiples from the 1-12 times table.E.g. 24, 35, 80, 12, 15, 42, 56, 27, 20

You then call out different questions, such as 5 x 7 or 3 x 9The first person to cross off all 9 multiples wins!

Complete the Sudoku grids on the next slide.The rules of the game are simple: each of the nine blocks has to contain all the numbers 1-9 within its squares. Each number can only appear once in a row, column or box.

Have a go at the emoji code breakers on the next few slides!

55

Design a huge poster to explain everything that you know about fractions! Don’t forget to include lots of diagrams and to make it eye-catching. You could include adding and subtracting fractions, multiplying fractions, dividing and multiplying with integers, ordering fractions and links with decimals and percentages.

Write a number on a post-it note and stick it on another player’s head-don’t let them see it! Tell them statements about their number and see if they can guess it. E.g. “It’s a square number”, “It’s less than 30.” etc.

You could play the same game withsome of the mathematical vocab from this week!

56

Sudoku

57

SudokuAnswers

58

59