Monday - New Town Primary School - Home

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Monday

Transcript of Monday - New Town Primary School - Home

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Monday

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Tuesday

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Wednesday

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Spring

Ready-to-go Lesson Slides

Year 6

Decimals

Lesson 1

To know the value of digits in decimal numbers (3dp)

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SummaryKey Vocabulary

Hinge Question (Assessment Point)

Lesson Introduction Slide (Learning Objective and Success Criteria)

Starter – Identifying similarities and differences in decimal numbers

Key Concept Introduction

Guided Practice – Representing a number using a place value chart and counters

Independent Practice 1 – Identifying place value in a 3dp number

Guided Practice – Reasoning with place value knowledge

Independent Practice 2 – Reasoning (true or false)

Guided Practice – Problem solving (deduction)

Independent Practice 3 – Problem solving (deduction)

Let’s Reflect

Support Slides – Based on Year 5 Decimals 2dp

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To know the value of digits in decimal numbers (3dp)

Key Vocabulary:

decimal hundredth

value thousandth

digit Decimal point

tenth

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A

B

C

D

To know the value of digits in decimal numbers (3dp)

3.354

2.63

9.023

2.339

Hinge Question:

Which of these number has a 3 in the in the thousandths column?

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To know the value of digits in decimal numbers (3dp)

Success Criteria

❑ I know the value of each digit in a decimal number (3dp)

❑ I can represent a decimal number using place value

❑ I can problem solve using decimal place value knowledge

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To know the value of digits in decimal numbers (3dp)

Here is a list of decimal numbers.

9.34 4.37 17.392 23.308

What is different about these numbers?

What is the same about these numbers?

Starter:

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To know the value of digits in decimal numbers (3dp)

Complete the sentences about this number.

There are _____ ones, _____ tenth, _____ hundredths and _____ thousandths.

The number in digits is _____.

There are 2 ones, 1 tenth, 4 hundredths and 2 thousandths.

The number in digits is 2.142

Answers

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To know the value of digits in decimal numbers (3dp)

Guided Practice:

How would we represent these numbers using place value counters?

4.156 13.908 9.083

M HTh TTh Th H T O tenths hundredths thousandths

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To know the value of digits in decimal numbers (3dp)

Independent Practice:

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To know the value of digits in decimal numbers (3dp)

Guided Practice:

Carla says:

Is Carla correct?

Explain your answer.

The more decimal places a number

has, the larger the number is.

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To know the value of digits in decimal numbers (3dp)

Independent Practice:

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To know the value of digits in decimal numbers (3dp)

Guided Practice:

Three children think of three numbers.

Ryan: “My number has 3 tenths.”

Marvin: “My number has the same amount of ones as hundredths.”

Emily: “My number has the same digit in the ones column as in the thousandths column.”

Which number is each child thinking of?

5.352 5.343 3.543

5.343

3.543

5.352

Answers

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To know the value of digits in decimal numbers (3dp)

Independent Practice:

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To know the value of digits in decimal numbers (3dp)

Let’s Reflect:

Faye says that 5.43 can be written as 3 ones, 14 tenths and 3 hundredths.

Is Faye correct?

Explain your answer.

Faye is incorrect. The number that she has written would be 1.42

She needs another one for it to be correct.

Answers

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Support Slides

The following slides are based on Year 5 Decimals and Percentages – Decimals to 2dp

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To know the value of digits in decimal numbers (2dp)

Represent these numbers on a place value chart.

Explain the value of each digit.

a) 4.56

b) 63.72

c) 9.09

d) 4.38

M HTh TTh Th H T O1

10

1

100

1

1000

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To know the value of digits in decimal numbers (2dp)

Sort these number into the correct column, to show which place value column is underline in each

number.

Tens Ones tenths hundredths thousandths

1.83 22.45 0.983 82.38 3.029

22.45 82.38 1.833.029

0.983

Answers

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Independent Practice | Year 6 | Decimals | Lesson 1

© Third Space Learning 2020. You may photocopy this page.1

2.

a.

b.

c.

d.

e.

True or False?

If the answer is false, explain how you know.

thousandths.

6 hundredths is larger than 6 thousandths.

3.913 9 hundreds

9 thousandths

9 tens

9 tenths

9 hundredths

M HTh TTh Th H T O

1. a.

b.

d.

f.

c.

e.

To know the value of digits in decimal numbers (3dp) - Questions

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Independent Practice | Year 6 | Decimals | Lesson 1

© Third Space Learning 2020. You may photocopy this page.2

3.

column.”

hundredths digit.”

To know the value of digits in decimal numbers (3dp) - Questions

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Thursday

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Spring

Ready-to-go Lesson Slides

Year 6

Decimals

Lesson 2

To multiply by 10, 100 and 1,000

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SummaryKey Vocabulary and Sentence Stems

Process Steps

Hinge Question (Assessment Point)

Lesson Introduction Slide (Learning Objective and Success Criteria)

Starter – Recognising digits moving place value columns

Key Concept Introduction

Guided Practice – Using a place value chart to multiply by 10, 100 and 1,000

Independent Practice 1 – Using a place value chart to multiply by 10, 100 and 1,000

Guided Practice – Filling in the missing operation

Independent Practice 2 – Filling in the missing operation

Guided Practice – Sorting statements into true and false

Independent Practice 3 – Sorting statements into true and false

Let’s Reflect

Support Slides – Based on Year 5 Multiplying decimals by 10, 100 and 1,000

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To multiply by 10, 100 and 1,000

Key Vocabulary:

Zero is a placeholder. Zero has no value.

When multiplying by (10/ 100/ 1,000), the number is (10/ 100/ 1,000) times bigger.

When multiplying by (10/ 100/ 1,000), we move the digits (one/ two/ three) places to the left.

Sentence Stems:

Decimal point tenths

hundredths thousandths

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To multiply by 10, 100 and 1,000

Multiplying by 10

1. When multiplying by 10, place the digits of the number you are multiplying by 10 into your place

value chart.

2. Each of the digits will more one place to the left.

Multiplying by 100

1. When multiplying by 100, place the digits of the number you are multiplying by 100 into your place

value chart.

2. Each of the digits will more two places to the left.

Multiplying by 1,000

1. When multiplying by 1,000, place the digits of the number you are multiplying by 10 into your

place value chart.

2. Each of the digits will more three places to the left.

Process Steps:

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A

B

C

D

To multiply by 10, 100 and 1,000

The digits move one place to the left.

The digits moves to the right.

The digits move two places to the left.

The digits move two places to the right.

Hinge Question:

What happens to the digits when you multiply by 100?

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To multiply by 10, 100 and 1,000

Success Criteria

❑ I can explain what happens to the digits when you multiply by 10, 100

and 1,000

❑ I can multiply a decimal number by 10, 100 or 1,000

❑ I can solve problems using multiplying by 10, 100 and 1,000

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To multiply by 10, 100 and 1,000

H T O1

10

1

100

1

1000

H T O1

10

1

100

1

1000

Samantha makes a number on the place value chart:

What number has she made?

She does something to the digits. Here is her place value chart now:

What has she done with digits?

What is her number now?

Starter:

5.21

The digits have moved one place to the left. Her new

number is 52.1 She has multiplied by 10. Answers

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To multiply by 10, 100 and 1,000

Look at the number in the place value grid.

Multiply the number by 10.

What happens to the digits? What is the answer?

Multiply the number by 100.

What happens to the digits? What is the answer?

Multiply the number by 1,000.

What happens to the digits? What is the answer?

The digits move one place to the left 14.73

The digits move two places to the left 147.3

The digits move three places to the left 1,473.

Answers

Th H T O1

10

1

100

1

1000

1 4 7 3

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To multiply by 10, 100 and 1,000

Guided Practice:

Use the place value chart to calculate the answer to:

6.4 x 1,000 =

9.028 x 10 =

0.94 x 100 =

6,400

90.28

94

Answers

Th H T O1

10

1

100

1

1000

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To multiply by 10, 100 and 1,000

Independent Practice:

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To multiply by 10, 100 and 1,000

Guided Practice:

Use the cards above to fill in these calculations:

1.28 = 128

41.49 = 414.9

0.93 = 930

x 10 x 100 x 1,000

x 100

x 10

x 1,000

Answers

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To multiply by 10, 100 and 1,000

Independent Practice:

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To multiply by 10, 100 and 1,000

Guided Practice:

Declan has been sorting statements into the table below.

Do you agree with how he has sorted them?

A is incorrect because 3.4 x 100 = 340

C and B are in the correct place.

True False

A: 3.4 x 100 = 34

C: 2.83 x 1,000 = 2,830

B: 0.807 x 100 = 80.07

Answers

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To multiply by 10, 100 and 1,000

Independent Practice:

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To multiply by 10, 100 and 1,000

Let’s Reflect:

Jay says:

Is Jay correct?

No – Jay is not correct.

His strategy will work when multiplying whole numbers by 1,000 because shifting the digits three places

looks the same as adding three zeros.

However, if the number is a decimal, then shifting the digits three places will not have the same effect.

He needs to shift the digits each time.

To multiply a number by 1,000, I just

need to write three zeros on the end.

For example:

45 x 1,000 = 45,000

7 x 1,000 = 7,000

Answers

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Support Slides

The following slides are based on Year 5 Decimals – Multiplying decimals by 10, 100 and 1,000

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To know how to multiplying decimals by 10, 100 and 1,000

Choose a number at random then choose a multiply by card at random.

Use the place value chart to support you in answering the question.

89.7 4.3 57.80 0.91

1.92 120.34 11.9

x 10 x 100 x 1,000

M HTh TTh Th H T O1

10

1

100

1

1000

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To know how to multiplying decimals by 10, 100 and 1,000

Fill in the missing numbers.

x10 x100 x1,000

46 460

5.43 54.3 5,430

6.98 698 6,980

0.38 3.8

145 1,450 14,500

4.6 4,600

543

69.8

38 380

14.5

Answers

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Independent Practice | Year 6 | Decimals | Lesson 2

© Third Space Learning 2020. You may photocopy this page.1

2.

a.

c.

e.

Complete the calculations using the cards above.

3.4 = 340 1.902 = 19.02

3.8 = 3,800 0.014 = 0.14

19.2 = 0.192 0.03 = 30

3.

a.

b.

c.

d.

Sort the statements into the table. For the false statements, explain why they are false.

If 4.598 is multiplied by 10, 100 or 1,000, the answer will only have the digits 4, 5, 9 and 8 in it.

When multiplying a number by 10, 100 or 1,000, the digits in that number always

6.492 x 1,000 = 6,492

0.3 x 1,000 = 30

1.

a.

c.

e.

Use a place value chart for support, to calculate the answers to these questions:

42.9 x 1,000 = 0.023 x 1,000 =

1.25 x 100 = 0.076 x 100 =

6.359 x 10 = 0.005 x 10 =

b.

d.

f.

x 10 x 100 x 1,000

b.

d.

f.

True False

To multiply by 10, 100 and 1,000 - Questions

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Friday

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Spring

Ready-to-go Lesson Slides

Year 6

Decimals

Lesson 3

To divide by 10, 100 and 1,000

Page 49: Monday - New Town Primary School - Home

SummaryKey Vocabulary and Sentence Stems

Process Steps

Hinge Question (Assessment Point)

Lesson Introduction Slide (Learning Objective and Success Criteria)

Starter – Identifying place value columns and how they have changed

Key Concept Introduction

Guided Practice – Identifying errors in dividing by 10, 100 and 1000

Independent Practice 1 – Identifying errors in dividing by 10, 100 and 1000

Guided Practice – Dividing by 10, 100 and 1000 with units of measure

Independent Practice 2 – Dividing by 10, 100 and 1000 with units of measure

Guided Practice – Creating division calculations

Independent Practice 3 – Creating division calculations

Let’s Reflect

Support Slides – Based on Year 5 dividing by 10, 100 and 1,000

Page 50: Monday - New Town Primary School - Home

To divide by 10, 100 and 1,000

Key Vocabulary:

When dividing by (10/ 100/ 1,000), the number is (10/ 100/ 1,000) times smaller.

When dividing by (10/ 100/ 1,000), we move the digits (one/ two/ three) places to the right.

Sentence Stems:

tenth hundredth

thousandth divide

Place value column

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To divide by 10, 100 and 1,000

Dividing by 10

1. When dividing by 10, place the digits of the number you are dividing by 10 into your place value

chart.

2. Each of the digits will more one place to the right.

Dividing by 100

1. When dividing by 100, place the digits of the number you are dividing by 100 into your place

value chart.

2. Each of the digits will more two places to the right.

Dividing by 1,000

1. When dividing by 1000, place the digits of the number you are dividing by 1000 into your place

value chart.

2. Each of the digits will more three places to the right.

Process Steps:

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A

B

C

D

To divide by 10, 100 and 1,000

Divide by 10

Divide by 100

Divide by 1000

Multiply by 10

Hinge Question:

What is the missing operation in this calculation:

890 ? = 8.9

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To divide by 10, 100 and 1,000

Success Criteria

❑ I know how to divide by 10, 100 and 1,000

❑ I can link this to converting measures

❑ I can explain my reasoning when dividing by 10, 100 and 1,000

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To divide by 10, 100 and 1,000

Ryan has represented a number in the top row of the place value chart. He completes a division and

shows his new numbers in the row below.

What division has he done and how do you know?

Ryan has divided by 100. We know this because the digits have moved two places to the right.

Starter:

Answers

M HTh TTh Th H T O1

10

1

100

1

1000

4 3 7

4 3 7

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To divide by 10, 100 and 1,000

Use the place value chart to show how to divide 98 by 10, 18 by 100 and 3,429 by 1,000.

9.8 0.18 3.429

Answers

M HTh TTh Th H T O1

10

1

100

1

1000

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To divide by 10, 100 and 1,000

Guided Practice:

Tick the answers that are correct.

Correct the calculations that are incorrect.

Incorrect answer:

86 divided by 1,000 = 0.086

86 x 100 = 8,600

86

0.86

8608.6

0.86

÷ 100

x 100

÷ 1,000

÷ 10

Answers

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To divide by 10, 100 and 1,000

Independent Practice:

Page 58: Monday - New Town Primary School - Home

To divide by 10, 100 and 1,000

Guided Practice:

How could we use our knowledge of dividing by 10, 100 and 1,000 to find:

a) How many kilograms is the same as 2,380g?

b) How many metre is 178cm?

a) There are 1,000 grams in a kilogram so we can divide by 1,000. 2,380 divided by 100 = 2.38

b) There are 100cm in one metre so we can divide by 100. 178 divided by 100 = 1.78

Answers

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To divide by 10, 100 and 1,000

Independent Practice:

Page 60: Monday - New Town Primary School - Home

To divide by 10, 100 and 1,000

Guided Practice:

Using the following rules, can you make the answer 80?

You must use a number from column A.

You must use an operation from column B.

You must use a number from column C.

A B C

0.8

X

÷

0.1

8 1

80 10

800 100

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To divide by 10, 100 and 1,000

Independent Practice:

Page 62: Monday - New Town Primary School - Home

To divide by 10, 100 and 1,000

Let’s Reflect:

Emily says:

Is she correct?

Explain your answer.

No – Emily is not correct.

Her strategy will only work when dividing multiples of 1,000 by 1,000 because moving the digits three

places looks the same as removing three zeros. However, in all other cases, then moving the digits

three places to the right will not have the same effect.

She needs to move the digits.

To divide a number by 1,000, I just need

to remove three zeros from the end.

For example:

47,000 ÷ 1,000 = 47

8,000 ÷ 1,000 = 8

Answers

Page 63: Monday - New Town Primary School - Home

Support Slides

The following slides are based on Year 5 Decimals – dividing decimals by 10, 100 and 1,000

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To divide decimals by 10, 100 and 1,000

Fill in the missing numbers in the diagram.

Can you start with 79 and follow the same rules?

If the end number is 0.08, what are the first two numbers?

2.6 0.26

79 7.9 0.79

8 0.8 0.08

26 ? ?÷ 10 ÷ 10

Answers

Page 65: Monday - New Town Primary School - Home

To divide decimals by 10, 100 and 1,000

Use the place value column to solve:

67 divided by 100 =

981 divided by 1,000 =

379 divided by 10 =

0.67

0.981

37.9

Answers

M HTh TTh Th H T O1

10

1

100

1

1000

Page 66: Monday - New Town Primary School - Home

Independent Practice | Year 6 | Decimals | Lesson 3

© Third Space Learning 2020. You may photocopy this page.1

2.

a.

b.

c.

d.

e.

Use dividing by 10, 100 and 1,000 to convert these measurements:

832 mm cm

562 g kg

52,315 m km

0.5 cm m

249 ml l

3. Using the following rules, can you make the answer 90?

You must use a number from column A.

You must use an operation from column B.

You must use a number from column C.

A B C

0.9

x

÷

0.1

9 1

90 10

900 100

9,000 1,000

1. Tick the answers that are correct. Correct the ones that are incorrect.

0.91

91

0.091 901

9,100

910

9.1

÷ 100

÷ 1,000

÷ 10

x 10

x 100

x 1,000

To divide by 10, 100 and 1,000 - Questions