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MNU 3-03a
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Revision Level E Add & Subtract Decimals
DecimalsDecimalsw
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Multiplying by 2 Simple DecimalsDividing 2 Simple Decimals
Rounding to Any Number of Decimal PlacesRounding to Significant Figures
Profit and LossHire PurchaseSalaries & OvertimeForeign Exchange
MNU 3-03a
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Starter QuestionsStarter Questionsw
ww
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srevis
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Write down as many equations as you can
e.g. a + b = 11
MNU 3-03a
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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1.1. Understand how to Understand how to round to 1 decimal round to 1 decimal place.place.
1. To revise Level E work.
DecimalsDecimalsRevision of Level E
2.2. Apply rules for multiplying Apply rules for multiplying and dividing by 10, 100 and dividing by 10, 100 and 1000.and 1000.
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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DecimalsDecimalsRevision Level E
1. What does 6 stand for in 0.26 ? 6 hundredths
2. What number lies halfway between 0.1 and 0.02 ?0.06
3. Round to 1 decimal place 34.75 34.8
4. Calculate 4.76 x 100 476
5. Calculate 567.89 ÷ 1000
6. Shop A sell 20 CD’s for £16 and Shop B sells 40 CD’s for £31.60. Which shop is the cheapest.
0.56789
Shop A 80p
Shop B 79p
B is cheaper!
MNU 3-03a
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Now try Exercise 1Ch13 (page 56)
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DecimalsDecimalsRevision Level EMNU 3-03a
MNU 3-03a
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Starter QuestionsStarter Questionsw
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divide to give 3. Find the two numbers.
2. Two numbers subtract to give 5 and
multiply to 24. Find the two numbers.
3. Make your own question up.
MNU 3-03a
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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1.1. Remember to keep Remember to keep decimal point in line.decimal point in line.
1. We are learning to add and subtract decimal numbers.
DecimalsDecimals
2.2. Make use of trailing Make use of trailing 0’s 0’s when needed.when needed.
Addition & Subtraction
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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DecimalsDecimalsAddition & Subtraction
Example : 3.2 + 0.487 + 5.73
3 200
0 487
5 7309 417
1 11
.
.
.
.
Keep point in line
MNU 3-03a
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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DecimalsDecimalsAddition & Subtraction
Example : 6.2 – 3.19 + 1.783
6 200
+1 783
7 9833 190
4 793
.
.
.
.
.
Add first
Then subtract
MNU 3-03a
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Now try Exercise 2Ch13 (page 58)
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DecimalsDecimalsAddition & SubtractionMNU 3-03a
MNU 3-03a
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Starter QuestionsStarter Questionsw
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1. (-5) - (-6) + 11
2. Calculate 15% of 60
3. What is the perimeter and area
of a square with length 4cm.
4. Find the value of x
3x - 9 = 27
MNU 3-03a
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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1. We are learning to do simple decimal multiplication.
1. Apply rules to do simple multiplication.
DecimalsDecimalsSimple Multiplication
2. Show clear working.
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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DecimalsDecimalsSimple Multiplication
Example 1 : 0.6 x 0.4 6 x 4 = 24
2 digits after decimal place
0. 24
Example 2 : 0.09 x 0.3 9 x 3 = 27
3 digits after decimal place
0. 027
MNU 3-03a
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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DecimalsDecimalsSimple Multiplication
Example 3 : 0.071 x 0.5 71 x 5 = 355
4 digits after decimal place
0. 0355
MNU 3-03a
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Now try Exercise 5Ch13 (page 62)
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DecimalsDecimalsSimple MultiplicationMNU 3-03a
MNU 3-03a
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Starter QuestionsStarter Questionsw
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12. How many degrees in an
8
1. Simplfy the ratio 57 : 19
of a circle
3. I got $250 for £100. How much would I
get for £1.
4. Put in order, smallest first.
0.05, 0.21, 0.01, 0.026
MNU 3-03a
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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1. We are learning to divide simple decimal numbers.
1. Understand simple rule for dividing decimals.
DecimalsDecimals
2. Apply them to simple calculations.
Division of a Decimal
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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DecimalsDecimals
Example 1 : 3.5 ÷ 0.7 35 ÷ 7 = 5
Example 2 : 0.8 ÷ 0.2 8 ÷ 2 = 4
Do not attempt to divide by a decimal, multiply the divisor so it is a whole number first.
x 10
x 10
Division of a DecimalMNU 3-03a
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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DecimalsDecimals
Example 3 : 0.036 ÷ 0.043.6 ÷ 4 = 0.9
Example 4 : 24 ÷ 300024 ÷ 3÷1000 = 0.008
Do not attempt to divide by a decimal, multiply the divisor so it is a whole number first.
x 100
Division of a DecimalMNU 3-03a
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Now try Exercise 6Ch13 (page 63)
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DecimalsDecimalsDivision of a DecimalMNU 3-03a
MNU 3-03a
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Starter QuestionsStarter Questionsw
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60
Write down as many questions as you can
MNU 3-03a
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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1. We are learning to round to any number of decimal places.
1. Use previous knowledge to help round to any number of decimal places.
DecimalsDecimalsRounding to Any Number of Decimal Places
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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DecimalsDecimalsRounding to Any Number of Decimal Places
When rounding to :
1 decimal place look at 2nd decimal figure
e.g. 2.46
e.g. 6.456
e.g. 3.7846
e.g. 13.1146
2 decimal place look at 3rd decimal figure3 decimal place look at 4th decimal figure4 decimal place look at 5th decimal figure
MNU 3-03a
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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DecimalsDecimalsRounding to Any Number of Decimal Places
Example : The number 4.2615937
Rounded to 1 decimal place, the number is
4.3
4.26
4.262
4.2616
Rounded to 2 decimal place, the number isRounded to 3 decimal place, the number isRounded to 4 decimal place, the number is
MNU 3-03a
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Now try Exercise 7Ch13 (page 64)
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DecimalsDecimalsRounding to Any Number of Decimal PlacesMNU 3-03a
MNU 3-03a
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Starter Starter QuestionsQuestions
24 ( 2 3)h h h
Q1. Round the following to 2 decimals places.
(a) 3.5647 (b) 4.55732 (c) 3.98111
Q2. Write in standard form.
(a) 12300 (b) 0.0034 (c) 0.0005
Q3. Expand out
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MNU 3-03a
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Learning IntentionLearning Intention Success CriteriaSuccess Criteria
1.1. Understand what the Understand what the term significant figure term significant figure means.means.
1. We are learning about the term significant figure.
2.2. Apply knowledge to Apply knowledge to problems.problems.
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Significant NumbersSignificant Numbers
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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Significant NumbersSignificant Numbers
In mathematics a figure or digit is significant if it gives an idea of both:
(i) Quantity(ii) Accuracy
IMPORTANT : If zero’s are employed just to position the decimal pointthen they are considered NOT significant.
e.g. Has 3 significant figures.
Has 3 significant figures.
Has 3 significant figures.
506 cm
50.6 cm
0.506 cm
0.00506 cm Has 3 significant figures.
MNU 3-03a
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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Significant NumbersSignificant Numbers
IMPORTANT : When dealing with WHOLE NUMBERS you needMore information before you can tell if trailing zero’s are significant.
Question ? How many significant figures is this number to.
360
If I said there are 360 deg. in a circle. How many significant figures.3
YOU NEED TO KNOW THE CONTEXT OF THE QUESTION WHENDEALING WITH WHOLE NUMBERS WITH TRAILING ZEROS.
If I said 359 to the nearest ten is 360. How many significant figures.2
Is it 2 or 3 !!!
MNU 3-03a
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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Significant FiguresSignificant FiguresDecimals0.001090
Whole Numbers03060
To the left ofThe number
Middle of the number
To the right ofthe number
Not Significant
Always Significant
Always Significant
To the left ofThe number
Middle of the number
? Depends More Info.
Not SignificantAlways SignificantRead Question
WORK OUT WHAT THE ZERO MEANS
MNU 3-03a
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Now try Ex 8Ch13 (page 65)
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Significant NumbersSignificant NumbersMNU 3-03a
MNU 3-03a
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Starter Starter QuestionsQuestions
Q1. 0.5 + 5 x 8
Q3. Find g when 7 - g 32
Q2. Multiply out the brackets
(a) 2 - 6(x - 3) (b) (x - 4)( 3x + 5)
2 2
I f a 7, b 6, c 3
Find
ac
b
Q4.
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MNU 3-03a
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Learning IntentionLearning Intention Success CriteriaSuccess Criteria
1.1. Understand the terms Understand the terms PROFIT and LOSS.PROFIT and LOSS.
1. We are learning theterms profit and loss.
2.2. Apply knowledge to Apply knowledge to calculations. In context.calculations. In context.
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Profit and LossProfit and Loss
MNU 3-03a
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Profit and LossProfit and Loss
Profit : When you sell something for MORE than you bought it.
Loss : When you sell something for LESS than you bought it.
PROFIT = Selling Price – Buying Price
LOSS = Buying Price – Selling Price
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MNU 3-03a
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Profit and LossProfit and Loss
Example 2Example 2
I bought a bunch of flowers for £5.50 and tried to I bought a bunch of flowers for £5.50 and tried to sell them for a profit. But I found it difficult to sell sell them for a profit. But I found it difficult to sell them. I sold them for £4.00 before they went off. them. I sold them for £4.00 before they went off.
Example 1Example 1If I buy a Playstation for £100 and sell it for £120. If I buy a Playstation for £100 and sell it for £120.
£120-£100 = £120-£100 = £20£20
I have made a I have made a PROFITPROFIT of of
I made a I made a LOSSLOSS of of £5.50 - £4.00 = £1.50£5.50 - £4.00 = £1.50
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11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Now try Ex 9Ch13 (page 67)
Q1 – Q3
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Profit and LossProfit and Loss
MNU 3-03a
MNU 3-03a
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Learning IntentionLearning Intention Success CriteriaSuccess Criteria
1.1. To know the meaning of To know the meaning of the term HIRE PURCHASE.the term HIRE PURCHASE.
1. We are learning thethe meaning of the term Hire Purchase.
2.2. Apply the process of Apply the process of working out the Hire working out the Hire Purchase for everyday Purchase for everyday products.products.
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Hire PurchaseHire Purchase
MNU 3-03a
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Starter Starter QuestionsQuestions
Q1. Expand out 2j (k – 5g + 4jk)
Q3.Find m when 55 = 13 - 14m
Q2. Find all the missing angles
2
I f a 9, b 7, c 4
Find
ab
c
Q4.
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25o
MNU 3-03a
MNU 3-03a
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Hire PurchaseHire Purchase
Hire Purchase : When you pay for goods byputting down a deposit and then paying the rest up in small fixed payments over a period of time.
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Normally you pay more for the goods using this method.
MNU 3-03a
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Buying ProductsBuying Products
Hoover Cash Price £365.50 Hoover Cash Price £365.50 or or
by H.P. £75 deposit + 12 Payment £28.80by H.P. £75 deposit + 12 Payment £28.80
£75 + 12 x £28.80 = £75 + 12 x £28.80 = £420.60£420.60
Total H.P. price = Total H.P. price =
Hire PurchaseHire Purchasew
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Difference in price = £420.60 - £365.50 = £55.10 £420.60 - £365.50 = £55.10
How much more do you pay by using Hire Purchase
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Now try Ex 9Ch13 (page 68)
Q4 – Q7
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Hire PurchaseHire PurchaseMNU 3-03a
MNU 3-03a
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Starter Starter QuestionsQuestions
Q1. Expand out 2a (a – c + 4ab)
Q3. Find g when 7 - 8g 95
Q2. Find the missing angle
2
I f a 9, b 7, c 4
Find
ab
c
Q4.
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MNU 3-03a
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Learning IntentionLearning Intention Success CriteriaSuccess Criteria
1.1. To know the meaning of To know the meaning of the terms Salary and the terms Salary and Overtime.Overtime.
1. We are learning to calculate Salaries and Overtime.
2.2. Apply knowledge to Apply knowledge to calculations. In context.calculations. In context.
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Salaries & OvertimeSalaries & Overtime
MNU 3-03a
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Salary : How much a person is paid to do a job.Can be measured weekly, monthly orannually.
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Salaries & OvertimeSalaries & Overtime
Overtime : Extra work outside normal work time.Usually at night or weekends.
MNU 3-03a
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
£1725.20 x 12 = £20 £1725.20 x 12 = £20 702.40702.40
Annual Salary is = Annual Salary is =
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Mick the mechanic gets paid £1725.20 a month.How much is his annual salary.
Salaries & OvertimeSalaries & Overtime
MNU 3-03a
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
£19 003.40 £19 003.40 ÷÷ 52 = £365.45 52 = £365.45Weekly Salary is = Weekly Salary is =
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Claire the clerkess gets an annual salary of £19 003.40.How much is her weekly wage.
Salaries & OvertimeSalaries & Overtime
MNU 3-03a
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
4 x £12.90 x 1.5 = £77.404 x £12.90 x 1.5 = £77.404 hours Overtime is = 4 hours Overtime is =
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Percy works for £12.90 per hour. His overtime rate is“time & a half”. What does he get paid for 4 hours overtime.
Salaries & OvertimeSalaries & Overtime
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Now try Ex 9Ch13 (page 68)
Q8 – Q14
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Level F
Salaries & OvertimeSalaries & Overtime
MNU 3-03a
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Starter Starter QuestionsQuestions
Q1. Expand out 2a (a – c + 4ab)
Q3. Find y1
y =100 5
Q2. Find two missing angles
Q4. The answer is 45. What is the queston.
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MNU 3-03a
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Learning IntentionLearning Intention Success CriteriaSuccess Criteria
1.1. Understand the term Understand the term exchange rate and be apply exchange rate and be apply it to convert £’s to another it to convert £’s to another currency.currency.
1. We are learning to convert £’s to another currency and vice versa.
2.2. Be able to convert back to Be able to convert back to £’s.£’s.
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Foreign ExchangeForeign Exchange
3. 3. Show clear working.Show clear working.
MNU 3-03a
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
The currency in most of Europe is the euro €
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Converting £’s to Euros € simply multiply
Foreign ExchangeForeign Exchange
The exchange rate is approximately
£ 1 1.54 €
(a) To change £80 to euros 80 x 1.54 =123.20 €
Think going on holiday !
MNU 3-03a
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Coming back from holiday we want to do the oppositei.e. euros to £’s
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Converting Euros €’s to £’s simply divide
Foreign ExchangeForeign Exchange
The exchange rate is approximately
£ 1 1.54 €
To change 616 € to £’s 616 ÷ 1.54 =£400
Think back from holiday !
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Now try Ex 9Ch13 (page 70)
Q15 – Q20
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Foreign ExchangeForeign ExchangeMNU 3-03a