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Transcript of Monday - New Town Primary School - Home
Monday
Tuesday
Wednesday
Spring
Ready-to-go Lesson Slides
Year 6
Decimals
Lesson 1
To know the value of digits in decimal numbers (3dp)
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
To know the value of digits in decimal numbers (3dp)
Key Vocabulary:
decimal hundredth
value thousandth
digit Decimal point
tenth
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?
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
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:
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
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
To know the value of digits in decimal numbers (3dp)
Independent Practice:
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.
To know the value of digits in decimal numbers (3dp)
Independent Practice:
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
To know the value of digits in decimal numbers (3dp)
Independent Practice:
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
Support Slides
The following slides are based on Year 5 Decimals and Percentages – Decimals to 2dp
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
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
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
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
Thursday
Spring
Ready-to-go Lesson Slides
Year 6
Decimals
Lesson 2
To multiply by 10, 100 and 1,000
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
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
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:
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?
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
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
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
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
To multiply by 10, 100 and 1,000
Independent Practice:
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
To multiply by 10, 100 and 1,000
Independent Practice:
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
To multiply by 10, 100 and 1,000
Independent Practice:
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
Support Slides
The following slides are based on Year 5 Decimals – Multiplying decimals by 10, 100 and 1,000
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
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
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
Friday
Spring
Ready-to-go Lesson Slides
Year 6
Decimals
Lesson 3
To divide by 10, 100 and 1,000
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
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
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:
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
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
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
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
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
To divide by 10, 100 and 1,000
Independent Practice:
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
To divide by 10, 100 and 1,000
Independent Practice:
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
To divide by 10, 100 and 1,000
Independent Practice:
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
Support Slides
The following slides are based on Year 5 Decimals – dividing decimals by 10, 100 and 1,000
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
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
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