Functional skills

1. Reformed Functional Maths curriculum links include:
L1.1 Read, write, order and compare large numbers (up to one million) L2.1 Read, write, order and compare positive and negative numbers of any size
L1.2 Recognise and use positive and negative numbers L1.4 Use multiplication facts and make connections with division facts
L1.12 Approximate by rounding to a whole number or to one or two decimal places L1.15 Estimate answers to calculations using fractions and decimals
March 2023. Kindly contributed by Laura Robinson, WMC Training UK.
For remote or in-class delivery. Search for Laura on www.skillsworkshop.org
Please refer to the download page for this resource on skillsworkshop for detailed
curriculum links and related resources.
www.skillsworkshop.org/resources/l12_functional_skills_revision_of_number_skills
This PPT includes external links to videos and other features, such as pop-up
boxes, and should be run in full screen mode.
L1-2 Functional Skills Maths
Revision of number skills

2. British Values & Safeguarding
British Values
Mutual Respect – please respect all learners attending the session, try not to speak over one another and value
all contributions.
Individual Liberty – please feel free to contribute to the session and ask questions. No question is a silly question.
You have the right to choose how much you contribute.
Democracy – Please be mindful when expressing opinions. Please work as part of a group.
Rule of Law – Please give the session your full attention. Please turn off notifications.
Tolerance – Please value all contributions.
Safeguarding
Please ensure you are in a quiet area to concentrate on the session. If you are experiencing any problems during the session
or with your course of studies please make the tutor aware.
If you feel unsafe in any way please speak to the tutor after the session.

3. Learning Intent
Aims: To deliver learning that will provide the required knowledge to support learners in
completing the L1/L2 Maths exam.
Objectives:
1. Read, write and compare numbers of any size (L1.1, L2.1)
2. Recognise and use positive and negative numbers (L1.2)
3. Round numbers to one, two and three decimal points and whole numbers of any size (L1.12)
4. Use approximation/estimation by rounding to calculate and check results (numbers, money, decimals
and fractions) (L1.15, L2.2)
5. Use multiplication and division facts (L1.4)

4. Read these numbers aloud using the correct place value or type then
in as you would say them.
13 101 476 52 4 1020
Objective 1: Read, write, order & compare numbers of
any size

5. What is place value?

6. Place Value
All numbers use one or more of these 10 digits:
0 1 2 3 4 5 6 7 8 9
For example, 816 is a three-digit number. It has 3 digits. You may also refer to it as a 3 figure number
Hundreds
Tens
Units

7. Activity
Match the numbers written in figures to the numbers written in words:
• 108 Five hundred and eighty nine
• 589 Three hundred and fifty five
• 355 Seven hundred and two
• 702 One hundred and eight
Write these numbers in words:
• 863
• 209
• 137
• 586
Eight hundred and sixty three
Two hundred and nine
One hundred and thirty seven
Five hundred and eighty six
Challenge - Express these
numbers in words:
• 48,749
• 93,010
• 6,333,782

8. Ordering Numbers
Order the following numbers from smallest to largest, with smallest at the top:
1. 134
2. 78
3. 13
4. 34
5. 876
6. 56
1. 13
2. 34
3. 56
4. 78
5. 134
6. 876

9. Comparing Numbers
When comparing
numbers
we use:
Greater than >
Less than <

10. Comparing Numbers
Which numbers are greater? Please type in your answers into the chat using > or <.
1. 87 56
2. 220 150
3. 439 845
4. 540 1050
1. 87 > 56
2. 220 > 150
3. 439 < 845
4. 540 < 1050

11. Objective 2: Recognise and use positive and
negative numbers

12. Can you give an example of when we use
negative numbers?

13. Ordering Positive and Negative Numbers
Try ordering these numbers: Number Line:
Positive
0
Negative

14. Answers

15. Calculating with Positive and Negative
Numbers
Calculate these word problems and type your answers into chat:
POSITIVE
NEGATIVE
POSITIVE
NEGATIVE
NEGATIVE
NEGATIVE

16. Objective 3: Round numbers to one, two and three
decimal points and whole numbers of any size
How do we round a number:
1. Identify the digit to be rounded
2. If the digit exactly to the right of the rounding digit is less than 5, the value of the rounding
digit does not change. If the digit is 5 or greater than 5, then we increase the value of the
rounding digit by 1.
3. Replace all the digits to the right of the rounding digit with 0.
5 or more, raise the score
4 or less, let it rest!

18. Activity
Round the following numbers to the indicated place values:
1. 19 to the nearest ten
2. 622 to the nearest hundred
3. 888 to the nearest hundred
4. 165 to the nearest ten
5. 544 to the nearest hundred
1. 20
2. 600
3. 900
4. 170
5. 500

19. Rounding Decimals

20. Rounding Decimals to Whole Numbers
Example
Round this number to the nearest whole number 3.2:
1. 3.2
2. 3.2 - since 2 is smaller than 5, the value of the rounding digit, 3, does not change.
3. So the answer is 3
Round these answers using the same principle and type into the chat:
1. 3 + 3.3 = 4.6 =
2. 6 + 7.3 = 9.9 =
3. 7.9 + 8.3 = 16.2
1. 5
2. 10
3. 16

21. Rounding to one decimal place
(nearest tenth)
Example
Round this number to the nearest tenth or one decimal place 4.562:
1. 4.562
2. 4.562 - since 6 is greater than 5, we increase the value of the rounding digit, 5, by one.
3. so the answer is 4.6
Now try and type your answers into chat:
1. 34.128 1dp
2. 0.055 1dp
1. 34.1
2. 0.1

22. Rounding to two decimal places
(nearest hundredth)
Example
Round 5.726 to the nearest hundredth or 2 decimal places:
1. 5.726
2. 5.726 - since 6 is greater than 5, we increase the value of the rounding digit, 2, by one.
3. 5.73 Therefore, 5.726 rounded to 2 decimal places is 5.73.
Now try and type your answers into the chat:
1. 11.221 + 13.301= 24.522 2dp
2. 14.576 + 34.812 = 49.388 2dp
3. 17.869 + 0.094 = 17.963 2dp
1. 24.52
2. 49.39
3. 17.96

23. Rounding to three decimal places
(nearest thousandth)
Example
Round 8.62345 to the nearest thousandth or 3 decimal places:
1. 8.62345
2. 8.62345 - since 4 is less than 5, we leave the value of the rounding digit, 3, as it is.
3. 8.62345 Therefore, is 8.623 to 3 decimal places.
1. 33.22156 + 18.38701=51.60857 3dp
2. 54.26776 + 34.81257 = 89.08033 3dp
3. 12.11398 + 0.10946 = 12.22344 3dp
1. 51.609
2. 89.080
3. 12.223

24. Objective 4: Use approximation/estimation by
rounding to calculate and check results (numbers
and money)
What is estimating/approximation in maths? Basically it is rounding any given numbers
before calculating:

25. Approximation / Estimation using money

26. Activity
You need to go shopping to B&M for an activity for the 3-5 room. Your budget is £20.
Think of some example costs for the items above to get to an estimate cost
of £20. Don’t set all the prices to end in 99p!
£20.00
• Paint brushes
• Glue sticks
• Glitter
• Paint
• Pencils
• Crayons
• Coloured card
• Paint brushes - £2.99 = £3
• Glue sticks - £1.59 = £2
• Glitter - £3.56 = £4
• Paint - £3.34 = £3
• Pencils - £0.89 = £1
• Crayons - £3.45 = £3
• Coloured card - £3.67 = £4

27. Approximation/estimation using number
(Decimals)
When working with decimals apply the same rounding principle (round to the nearest whole number)
to estimate. Please type your answers into chat:
1. Estimate 2.9 x 4.01
2. Stuart buys 72 packets of crisps at 19p each. Estimate the total cost.
3. Estimate the value of 9.03 + 19.87 x 3.11 − 4.97
4. In a theatre there are 29 rows and in each row there are 32 seats. Each ticket costs £19.75 Work
out an estimate for the total income from ticket sales.
3 x 4 = 12
70 x 20 = 1400p
9 + 20 x 3 – 5 = 64
30 x 30 = 900
900 x 20 = 18000

28. Methods used for approximation and estimation
of numbers up to 1 million
We can use rounding numbers to get a rough idea or an estimate. An estimate might be
a little more or a little less than the actual amount.
By carrying out an estimate we can check that the answers to problems are sensible.
You are planning on going to the World Cup Final costing £1,250.00 per ticket, travel
costs are £2,700.00 and spending money £1,500.00.
Your budget is £6,000.00 using approximation will this budget big enough?
Round to the nearest 1,000.
Answer: YES
HOW? 1000 + 3,000 + 2,000 = £6,000

29. Consider these problems:
40 683
+ 481 760
852 041
734 019
- 558 414
492 756
x 495
Numbers can be rounded up or down to the most appropriate amount to check or help work out the answers.
Here are the suggested numbers to calculate by:
41 000
482 000
852 000
730 000
560 000
500 000
500
Estimate answers and submit in the chat box.
Estimated answers will be accepted if similar to these….
1 375 000 170 000 250 000 000

30. Approximation/estimation using fractions
We can also use rounding to estimate answers when calculating with proper fractions.
To round fractions we have to consider if the fraction is closest to 0, ½, 1. The rule to follow is:
• Round to 0 if the numerator is less than ½ of the denominator
• Round to ½ if the numerator is about half of the denominator
• Round to 1 if the numerator and denominator are about equal
For example:
2/12 is closest to 0
5/12 is closest to ½
10/12 is closest to 1 (whole)
If we apply this we can estimate the answer to 7/8 + 12/23 = 1 + ½ = 1 ½
Once we have rounded our fractions we can then add, subtract, multiply or divide.
Estimating with Fractions - Bing video

31. Practice Questions
a) Round these proper fractions:
1.
2
8
=
2.
6
12
=
3.
11
12
=
4.
5
10
=
b) Estimate the answers to these questions:
1.
3
7
+
8
9
=
2. 2
5
8
+ 6
5
9
=
3. 8
3
10
– 4
2
6
=
4.
2
3
x
4
5
=
5.
11
12
÷
7
8
=
Answers:
1. 0
2.
1
2
3. 1
4.
1
2
Answers:
1. ½ + 1 = 1 ½
2. 2 ½ + 6 ½ = 9
3. 8 – 4 = 4
4. 1 x 1 = 1
5. 1 ÷ 1 = 1

32. Here is a sum to work
out, without a
calculator
13 x 57 =
Where would you
start?
Here is one step by step
guide.
Make a note as we go
along:
Objective 5: Use multiplication and division facts

33. Multiplication – Grid Method
The Grid method – Breaks the number down into parts, such as 1000s,100s,10s,1,
You multiply these and add together the final amount
Example 482 x 6 = ?
x 400 80 2
6
The numbers are separated into their parts to make it easier to multiply
x 400 80 2
6 2400 480 12
Then add them together
2400 + 480 + 12 = 2892

34. Practice Questions
Use your chose techniques to complete these – Without a calculator
– Remember, you can double check your answer by approximation.
1. 36 x 24 =
2. 231 x 30 =
3. 21 x 39 =
4. 411 x 99 =
5. 998 x 1,100 =
1. 864
2. 6,930
3. 819
4. 40,689
5. 1,097,800

35. Division – Short hand method without a
calculator
If the division is not exact, and too large to calculate in your head, here is a step by step to break it
down. The / symbol will be used to represent the ÷
Divide 585 by 5
First divide the first 5 by 5
5 ÷ 5 = 1
Next divide the second digit in 585 by
5
8 ÷ 5 = this cant be done completely,
so we take how many times 5 go into 8
and what is left
8 ÷ 5 = 1 with a remainder of 3
So the 1 goes above and the 3 by the 5

36. Continued
If the division is not exact, and too large to calculate in your head, here is a step by step to break it down
Now we take the 3 and 5 as 35
and divide this by 5
35 ÷ 5 = 7
In order to calculate numbers
that don’t divide exactly into one
another, there will be a
remainder…
This is your answer the top
117

37. Calculating Remainders 917 ÷ 6

38. Practice Questions
Complete these questions WITHOUT a
calculator. Use short hand and convert
those with remainders into decimal
places.
1. 150 ÷ 30 =
2. 127 ÷ 9 =
3. 365 ÷ 5 =
4. 83 ÷ 4 =
5. 22500 ÷ 50 =
5
14.11111
73
20.75
450

39. RECAP
Objectives:
1. Read, write and compare numbers of any size
2. Recognise and use positive and negative numbers
3. Round numbers to one, two and three decimal points and whole numbers of any size
4. Use approximation/estimation by rounding to calculate and check results (numbers,
money, decimals and fractions)
5. Use multiplication and division facts

40. Any Questions?

41. Feedback
Please answer the questions below in one chat
box entry:
• What have you learned in today's session?
• How will you use this outside of the session?
• Is there anything you would like to go over again?