1. LO To assess my understanding of place value and types of number.
RAG
Key Words: Explain, Justify, Communicate
20/04/2017
Starter Activity
Have a look at the ‘Heard the Word’ Grid
Are there any key words which you know the meaning of now which you didn’t know before?

2. Place Value and types of number
Level 3 4 5 6 7 8
Place Value and types of number
I can round whole numbers to the nearest 10, 100 or 1000.
I can identify factors of two-digit numbers
Identify square numbers up to 15 x 15
I know simple tests for divisibility for 2, 3, 4, 5, 6, 8, 9
I can find the factors of a number by checking for divisibility
I can check the reasonableness of results with reference to the context or size of numbers
I can use the multiples of 4 to work out the multiples of 8.
I can recognise and use multiples, factors, common factor, highest common factor, lowest common multiple and primes.
I know and can use the order of operations, including brackets.
I can round a number to one decimal place.
I am able to carry out calculations with more than one step using brackets.
I am able to make and justify estimates and approximations of calculations.
I am able to find prime factor decomposition of a number.
When making estimates I can round to one significant figure and multiply and divide mentally.
I understand the effects of multiplying and dividing by numbers between 0 and 1
I am able to use prime factor decomposition to find the HCF and LCM of a pair of numbers.
I can use laws of indices in multiplication and division.
I can use standard form to make sensible estimates for calculations involving multiplication and division.

3. Factor Multiple Prime Number Square Number Indices Estimate
Key Words
Never heard before?
Heard of but not sure what it means?
Know what it means and can explain it in context
Jot down your ideas here...
Factor
Multiple
Prime Number
Square Number
Indices
Estimate
Standard Form

4. 144 Level 4 Is this number divisible by 3? How do you know?
Round this number to the nearest 10 and then to the nearest 100.
144
Level 5
Is this number a square number?
How do you know?

5. Level 3
Level 4
Level 5
144

6. Level 5
What is the highest common factor of these numbers?
How do you know?
Level 5
Write down all of the factors of each of these numbers.
How do you know that you haven’t missed any out?
Level 5
What is the lowest common multiple of these two numbers. How do you know?
48 & 60
Level 7
Show how you can use prime factor decomposition to find the Highest Common Factor and the Lowest Common Multiple of 48 and 60
Level 6
Express each of these numbers as a product of its prime factors.

7. Level 5
Level 5
Level 5
48 & 60
Level 6
Level 7

8. Level 4 Question
Answers & Working Out
A girl worked out the cost of 8 bags of apples at 47p a bag.
Her answer was £4.06.
Use estimation to say whether you think she is right or wrong.
Explain your answer.
Level 5 Question
Round to 1 decimal place
Write down a number that would be 3.4 when rounded to 1 decimal place.

9. Level 5 Question
Answers & Working Out
Kate says that x 5 = 21
Is Kate right or wrong?
Explain your answer.
Level 6 Question
Give your answer correct to 4 significant figures. Show all your working out.

10. Level 7 Question Answer & Working Out
Multiplying makes numbers bigger. When is this statement true and when is it false?
Division makes things smaller. When is this statement true and when is it false?

11. Level 7 Question
Answers & Working Out
Level 8 Question
Convince me that
a) x 32 = 39
b) ÷ 3-2 = 39
c) x 3-2 = 35

12. Level 8 Question
Answer & Working Out
a) Write in standard form
b) Write 6.3 x as an ordinary number.
c) Sir Isaac Newton was a mathematician, physicist and astronomer. In his work on the gravitational force between two bodies he found that he needed to multiply their masses together.
Work out the value of the mass of the Earth multiplied by the mass of the Moon.
Give your answer in standard form.
Mass of Earth = 5.98 × 1024 kg
Mass of Moon = 7.35 × 1022 kg

13. Place Value and types of number
Level 3 4 5 6 7 8
Place Value and types of number
I can round whole numbers to the nearest 10, 100 or 1000.
I can identify factors of two-digit numbers
Identify square numbers up to 15 x 15
I know simple tests for divisibility for 2, 3, 4, 5, 6, 8, 9
I can find the factors of a number by checking for divisibility
I can check the reasonableness of results with reference to the context or size of numbers
I can use the multiples of 4 to work out the multiples of 8.
I can recognise and use multiples, factors, common factor, highest common factor, lowest common multiple and primes.
I know and can use the order of operations, including brackets.
I can round a number to one decimal place.
I am able to carry out calculations with more than one step using brackets.
I am able to make and justify estimates and approximations of calculations.
I am able to find prime factor decomposition of a number.
When making estimates I can round to one significant figure and multiply and divide mentally.
I understand the effects of multiplying and dividing by numbers between 0 and 1
I am able to use prime factor decomposition to find the HCF and LCM of a pair of numbers.
I can use laws of indices in multiplication and division.
I can use standard form to make sensible estimates for calculations involving multiplication and division.
Dialogue marking sheet, print slides two to a page.

14. My own reflection on my learning in this unit of work.
To move my learning on I need to
To be a better learner I could………………..
To move my learning on I need to improve my understanding of………………….

15. Here come the answers. Highlight or tick the relevant statement on the learning journey.

16. 144 To the nearest 10 = 140 To the nearest 100 = 100 Level 4
This number is divisible by 3 because 144 ÷ 3 = 48
This number is not divisible by 7 because 7 x 20 = 140 and
7 x 21 = 147
To the nearest 10 = 140
To the nearest 100 = 100
144
Level 4
144 is a square number because 12 x 12 = 144

17. Place Value and types of number
Level 3 4 5 6 7 8
Place Value and types of number
Round whole numbers to the nearest 10, 100 or 1000.
Identify factors of two-digit numbers
Identify square numbers up to 15 x 15
Know simple tests for divisibility for 2, 3, 4, 5, 6, 8, 9
Find the factors of a number by checking for divisibility
Check the reasonableness of results with reference to the context or size of numbers
Use the multiples of 4 to work out the multiples of 8.
Recognise and use multiples, factors, common factor, highest common factor, lowest common multiple and primes.
Know and use the order of operations, including brackets.
Round a number to one decimal place.
To be able to carry out calculations with more than one step using brackets.
To be able to make and justify estimates and approximations of calculations.
To be able to find prime factor decomposition of a number.
When making estimates round to one significant figure and multiply and divide mentally.
To understand the effects of multiplying and dividing by numbers between 0 and 1
To be able to use prime factor decomposition to find the HCF and LCM of a pair of numbers
Use laws of indices in multiplication and division.
Use standard form to make sensible estimates for calculations involving multiplication and division.

18. 240 is the lowest common multiple of 48 & 60
Level 5
12 is the highest common factor because it is the biggest number which is a factor of both 48 and 60.
Level 4
Factors of 48
1 & 48
2 & 24
3 & 16
4 & 12
6 & 8
Factors of 60
1 & 60
2 & 30
3 & 10
4 & 15
5 & 12
6 & 10
Level 5
240 is the lowest common multiple of 48 & 60
48, 96,144, 192 , 240
60, 120, 160, 240
48 & 60
Level 6
2 x 2 x 2 x 2 x 3 = 48
24 x 3 = 48
2 x 2 x 3 x 5 = 60
22 x 3 x 5
Level 7
HCF –2 x 2 x 3 = 12
LCM –2 x 2 x 2 x 2 x 3 x 5

19. Place Value and types of number
Level 3 4 5 6 7 8
Place Value and types of number
Round whole numbers to the nearest 10, 100 or 1000.
Identify factors of two-digit numbers
Identify square numbers up to 15 x 15
Know simple tests for divisibility for 2, 3, 4, 5, 6, 8, 9
Find the factors of a number by checking for divisibility
Check the reasonableness of results with reference to the context or size of numbers
Use the multiples of 4 to work out the multiples of 8.
Recognise and use multiples, factors, common factor, highest common factor, lowest common multiple and primes.
Know and use the order of operations, including brackets.
Round a number to one decimal place.
To be able to carry out calculations with more than one step using brackets.
To be able to make and justify estimates and approximations of calculations.
To be able to find prime factor decomposition of a number.
When making estimates round to one significant figure and multiply and divide mentally.
To understand the effects of multiplying and dividing by numbers between 0 and 1
To be able to use prime factor decomposition to find the HCF and LCM of a pair of numbers
Use laws of indices in multiplication and division.
Use standard form to make sensible estimates for calculations involving multiplication and division.

20. Level 4 Question
Answers & Working Out
A girl worked out the cost of 8 bags of apples at 47p a bag.
Her answer was £4.06.
Use estimation to say whether you think she is right or wrong.
Explain your answer.
47p rounded to the nearest 10 is 50p
50p x 8 = £4.00
Therefore the apples must have cost less than £4.00 not more.
Level 5 Question
Round to 1 decimal place
Write down a number that would be 3.4 when rounded to 1 decimal place.
2.8
Any number between 3.35 and 3.44

21. Place Value and types of number
Level 3 4 5 6 7 8
Place Value and types of number
Round whole numbers to the nearest 10, 100 or 1000.
Identify factors of two-digit numbers
Identify square numbers up to 15 x 15
Know simple tests for divisibility for 2, 3, 4, 5, 6, 8, 9
Find the factors of a number by checking for divisibility
Check the reasonableness of results with reference to the context or size of numbers
Use the multiples of 4 to work out the multiples of 8.
Recognise and use multiples, factors, common factor, highest common factor, lowest common multiple and primes.
Know and use the order of operations, including brackets.
Round a number to one decimal place.
To be able to carry out calculations with more than one step using brackets.
To be able to make and justify estimates and approximations of calculations.
To be able to find prime factor decomposition of a number.
When making estimates round to one significant figure and multiply and divide mentally.
To understand the effects of multiplying and dividing by numbers between 0 and 1
To be able to use prime factor decomposition to find the HCF and LCM of a pair of numbers
Use laws of indices in multiplication and division.
Use standard form to make sensible estimates for calculations involving multiplication and division.

22. You have to multiply first 3 x 5 = 15 2 + 15 = 17
Level 5 Question
Answers & Working Out
Kate says that x 5 = 21
Is Kate right or wrong?
Explain your answer.
Kate is wrong
You have to multiply first
3 x 5 = 15
= 17
Level 6 Question
Give your answer correct to 4 significant figures. Show all your working out.
12.18 ÷ 1.03 =
11.83 to four significant figures

23. Place Value and types of number
Level 3 4 5 6 7 8
Place Value and types of number
Round whole numbers to the nearest 10, 100 or 1000.
Identify factors of two-digit numbers
Identify square numbers up to 15 x 15
Know simple tests for divisibility for 2, 3, 4, 5, 6, 8, 9
Find the factors of a number by checking for divisibility
Check the reasonableness of results with reference to the context or size of numbers
Use the multiples of 4 to work out the multiples of 8.
Recognise and use multiples, factors, common factor, highest common factor, lowest common multiple and primes.
Know and use the order of operations, including brackets.
Round a number to one decimal place.
To be able to carry out calculations with more than one step using brackets.
To be able to make and justify estimates and approximations of calculations.
To be able to find prime factor decomposition of a number.
When making estimates round to one significant figure and multiply and divide mentally.
To understand the effects of multiplying and dividing by numbers between 0 and 1
To be able to use prime factor decomposition to find the HCF and LCM of a pair of numbers
Use laws of indices in multiplication and division.
Use standard form to make sensible estimates for calculations involving multiplication and division.

24. Level 7 Question
Answer & Working Out
Multiplying makes numbers bigger. When is this statement true and when is it false?
False when:-
Multiplying a positive number by a negative number
e.g. 2 x – 3 = -6
Multiplying by a number between 0 and 1
e.g. 8 x 0.2 = 1.6
Multiplying by 0
e.g. 10 x 0 = 0
True when:-
Multiplying a negative number by a negative number and multiplying by a number greater than one.
Division makes things smaller. When is this statement true and when is it false?
Dividing a negative number by a negative number
e.g. -6 ÷ - 3 = 2
Dividing a negative number by a positive number.
e.g. -8 ÷ 2 = -4
Dividing by a number between 0 and 1
e.g. 8 ÷ 0.2 = 40
Dividing a positive number by a negative number
e.g. 8 ÷ - 4 = -2
Dividing a positive number by a number greater than one.
42 ÷ 6 = 7

25. Place Value and types of number
Level 3 4 5 6 7 8
Place Value and types of number
Round whole numbers to the nearest 10, 100 or 1000.
Identify factors of two-digit numbers
Identify square numbers up to 15 x 15
Know simple tests for divisibility for 2, 3, 4, 5, 6, 8, 9
Find the factors of a number by checking for divisibility
Check the reasonableness of results with reference to the context or size of numbers
Use the multiples of 4 to work out the multiples of 8.
Recognise and use multiples, factors, common factor, highest common factor, lowest common multiple and primes.
Know and use the order of operations, including brackets.
Round a number to one decimal place.
To be able to carry out calculations with more than one step using brackets.
To be able to make and justify estimates and approximations of calculations.
To be able to find prime factor decomposition of a number.
When making estimates round to one significant figure and multiply and divide mentally.
To understand the effects of multiplying and dividing by numbers between 0 and 1
To be able to use prime factor decomposition to find the HCF and LCM of a pair of numbers
Use laws of indices in multiplication and division.
Use standard form to make sensible estimates for calculations involving multiplication and division.

26. an x am = an+m an ÷ am = an-m Level 7 Question Answer & Working Out
Convince me that
a) x 32 = 39
b) ÷ 3-2 = 39
c) x 3-2 = 35
an x am = an+m
an ÷ am = an-m

27. Place Value and types of number
Level 3 4 5 6 7 8
Place Value and types of number
Round whole numbers to the nearest 10, 100 or 1000.
Identify factors of two-digit numbers
Identify square numbers up to 15 x 15
Know simple tests for divisibility for 2, 3, 4, 5, 6, 8, 9
Find the factors of a number by checking for divisibility
Check the reasonableness of results with reference to the context or size of numbers
Use the multiples of 4 to work out the multiples of 8.
Recognise and use multiples, factors, common factor, highest common factor, lowest common multiple and primes.
Know and use the order of operations, including brackets.
Round a number to one decimal place.
To be able to carry out calculations with more than one step using brackets.
To be able to make and justify estimates and approximations of calculations.
To be able to find prime factor decomposition of a number.
When making estimates round to one significant figure and multiply and divide mentally.
To understand the effects of multiplying and dividing by numbers between 0 and 1
To be able to use prime factor decomposition to find the HCF and LCM of a pair of numbers
Use laws of indices in multiplication and division.
Use standard form to make sensible estimates for calculations involving multiplication and division.

28. a) 7.346 x 102 b) 0.0063 Level 8 Question Answer & Working Out
a) Write in standard form
b) Write 6.3 x as an ordinary number.
a) x 102 b)
c) Sir Isaac Newton was a mathematician, physicist and astronomer. In his work on the gravitational force between two bodies he found that he needed to multiply their masses together.
Work out the value of the mass of the Earth multiplied by the mass of the Moon.
Give your answer in standard form.
Mass of Earth = 5.98 × 1024 kg
Mass of Moon = 7.35 × 1022 kg
5.98 x 7.35 =
1024 x 1022 = 1046
x 1046
= x 1047

29. Place Value and types of number
Level 3 4 5 6 7 8
Place Value and types of number
Round whole numbers to the nearest 10, 100 or 1000.
Identify factors of two-digit numbers
Identify square numbers up to 15 x 15
Know simple tests for divisibility for 2, 3, 4, 5, 6, 8, 9
Find the factors of a number by checking for divisibility
Check the reasonableness of results with reference to the context or size of numbers
Use the multiples of 4 to work out the multiples of 8.
Recognise and use multiples, factors, common factor, highest common factor, lowest common multiple and primes.
Know and use the order of operations, including brackets.
Round a number to one decimal place.
To be able to carry out calculations with more than one step using brackets.
To be able to make and justify estimates and approximations of calculations.
To be able to find prime factor decomposition of a number.
When making estimates round to one significant figure and multiply and divide mentally.
To understand the effects of multiplying and dividing by numbers between 0 and 1
To be able to use prime factor decomposition to find the HCF and LCM of a pair of numbers.
Use laws of indices in multiplication and division.
Use standard form to make sensible estimates for calculations involving multiplication and division.

30. Self Assessment
Collect back your assessment task and the purple sheet.
Have a look at your learning journey. Your peer has ticked the skills that you have demonstrated in this assessment.
Pick an un-ticked skill as your target and write EBI next to it.
Complete the self assessment boxes on the purple sheet.

31. To be a better learner I could................ Work Faster / do more
Less Helpful Comments
More Helpful Comments
Work Faster / do more
Stay on task.
Be neater
Clearly show my working out.
Try the harder ones
Put my hand up to ask a question when I don’t understand.
Talk less
Make sure that when I am talking to the people on my table, I am talking about the Maths.
Listen more when the teacher is talking.
Contribute answers and questions during the explanation part of the lesson.

32. Place Value and types of number
Level 3 4 5 6 7 8
Place Value and types of number
I can round whole numbers to the nearest 10, 100 or 1000.
I can identify factors of two-digit numbers
Identify square numbers up to 15 x 15
I know simple tests for divisibility for 2, 3, 4, 5, 6, 8, 9
I can find the factors of a number by checking for divisibility
I can check the reasonableness of results with reference to the context or size of numbers
I can use the multiples of 4 to work out the multiples of 8.
I can recognise and use multiples, factors, common factor, highest common factor, lowest common multiple and primes.
I know and can use the order of operations, including brackets.
I can round a number to one decimal place.
I am able to carry out calculations with more than one step using brackets.
I am able to make and justify estimates and approximations of calculations.
I am able to find prime factor decomposition of a number.
When making estimates I can round to one significant figure and multiply and divide mentally.
I understand the effects of multiplying and dividing by numbers between 0 and 1
I am able to use prime factor decomposition to find the HCF and LCM of a pair of numbers.
I can use laws of indices in multiplication and division.
I can use standard form to make sensible estimates for calculations involving multiplication and division.

33. My own reflection on my learning in this unit of work.
To move my learning on I need to
To be a better learner I could………………..
To move my learning on I need to improve my understanding of………………….