mnu 3-03a mnu 3-03b 4-dec-15created by mr. lafferty maths dept. whole numbers mental basic...
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MNU 3-03aMNU 3-03b
18 Apr 202318 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Whole NumbersWhole Numbers
Mental Basic Operations
Multiplying / Dividing by 20, 50 , 3000
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BODMAS
Basic Operations
MNU 3-03aMNU 3-03b
18 Apr 202318 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Starter QuestionsStarter Questionsw
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2. Calculate 10% of 1000
3. What is the name of the shape will this net make.
4. Calculate the value of the missing angle.
34o
MNU 3-03aMNU 3-03b
18 Apr 202318 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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1.1. Using and understanding Using and understanding layout for basic operations.layout for basic operations.
1. We are learning the importance of layout when doing basic operations.
Whole NumbersWhole Numbers
2.2. Be able to solve context Be able to solve context problems involving basic problems involving basic operations.operations.
Basic Operations
MNU 3-03aMNU 3-03b
18 Apr 202318 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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Whole NumbersWhole Numbers
There are many reasons why pupils do not get the correct answer to addition and subtraction sums.
23+9
239 23 + 9
54-8
8-54
54 - 8
Basic Operations
Are there any errors in
these sums.
MNU 3-03aMNU 3-03b
18 Apr 202318 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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Whole NumbersWhole Numbers
Find the answers to
Basic Operations
4 5 5 3
Remember ! 1 number 1 box
4 4 3 8
MNU 3-03aMNU 3-03b
18 Apr 202318 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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Whole NumbersWhole Numbers
There are many reasons why pupils do not get the correct answer to division sums.
586 ÷ 94 3
1 5 4 9 5 8 6 586 9
Basic Operations
Are there any errors in
these sums.
MNU 3-03aMNU 3-03b
18 Apr 202318 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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Whole NumbersWhole Numbers
Use the following layout for dividing by a single digit.
Example :
Basic Operations
7 2 4
Remember ! 1 number 1 box
MNU 3-03aMNU 3-03b
18 Apr 202318 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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Whole NumbersWhole Numbers
Example : A carton can hold 6 eggs. How many cartons are needed for 5436 eggs.
Basic Operations
9 0 6
MNU 3-03aMNU 3-03b
18 Apr 202318 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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Whole NumbersWhole Numbers
There are many reasons why pupils do not get the correct answer to multiplication sums.
23x 9
239
23 x 9
Basic Operations
Are there any errors in
these sums.
MNU 3-03aMNU 3-03b
18 Apr 202318 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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Whole NumbersWhole Numbers
To be able to multiply by a single digit you need to know your tables.
Examples
Basic Operations
1 4 9 2 2 6 2 0 8
Remember ! 1 number 1 box
MNU 3-03aMNU 3-03b
18 Apr 202318 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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Whole NumbersWhole Numbers
Example : A palette holds 164 tins of paint. How many tins in 8 palettes.
Basic Operations
1 3 1 2
Remember ! 1 number 1 box
MNU 3-03aMNU 3-03b
18 Apr 202318 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Now try TJ3a
Ex 1Ch2 (page 13)
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Basic Basic OperationsOperations
Are you on Target ?I can ?
MNU 3-03aMNU 3-03b
18 Apr 202318 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Starter QuestionsStarter Questionsw
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2. Calculate 75% of 400
3. What is the name of the shape will this net make.
4. Calculate the value of the missing angle. 36o
MNU 3-03aMNU 3-03b
18 Apr 202318 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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1 We are learning quick methods to do calculations mentally.
1. Use various methods to do calculations mentally.
CalculationsCalculationsMentallyMentally
MNU 3-03aMNU 3-03b
18 Apr 202318 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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= 26
CalculationsCalculationsMentallyMentally
75 – 50 + 1
54 + 67
= 121
(50 + 60) + (4 + 7)
= 110 + 11
MNU 3-03aMNU 3-03b
18 Apr 202318 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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= 576
CalculationsCalculationsMentallyMentally
9 x 60 + 9 x 4
= 540 + 36
7 x £4.99
= £34.93
7 x £5 – 7 x 1p
= £35 – 7p
MNU 3-03aMNU 3-03b
18 Apr 202318 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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= 21
CalculationsCalculationsMentallyMentally
(140 ÷ 7) + (7 ÷ 7)
= 20 + 1
126 ÷ 9
= 14
(99 ÷ 9) + (27 ÷ 9)
= 11 + 3
MNU 3-03aMNU 3-03b
18 Apr 202318 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Now try TJ3a
Ex 2Ch2 (page 16)
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CalculationsCalculationsMentallyMentally
Are you on Target ?I can ?
MNU 3-03aMNU 3-03b
18 Apr 202318 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Starter Starter QuestionsQuestions
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Make up your own Addition / Subtraction
Question
MNU 3-03aMNU 3-03b
18 Apr 202318 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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1 We are learning how to multiply / divide by 20, 300, 4000 etc using our knowledge so far.
1. Understand the two step process to multiply or divide by 20, 300 etc…
Whole NumbersWhole Numbers
2. Show all working.
Multiply or Divide by 20,300,4000
MNU 3-03aMNU 3-03b
18 Apr 202318 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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Whole NumbersWhole NumbersMultiply by 10, 100, 1000
To multiply by 10, 100, 1000
To multiply by 10 simply add a zero to the number
Example : Multiply 36 by 10, 100, 1000.
To multiply by 100 simply add 2 zero’s to the number
To multiply by 1000 simply add 3 zero’s to the number
Guess rule for 1000
36 x 10 = 36 x 100 = 36 x 1000 =360 3600 36000
MNU 3-03aMNU 3-03b
18 Apr 202318 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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Whole NumbersWhole NumbersMultiply by 10, 100, 1000
Example : A box of crisps contain 48 packets. How many in 100 boxes ?
48 x 100 =4800
MNU 3-03aMNU 3-03b
18 Apr 202318 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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Whole NumbersWhole NumbersDivide by 10, 100, 1000
To Divide by 10, 100, 1000
To divide by 10 remove a zero from the number
Example : Divide 54000 by 10, 100, 1000.
To divide by 100 remove 2 zero’s from the number
To divide by 1000 remove 3 zero’s from the number
Try and write down rule for
100, 1000
54000 ÷ 10 = 54000 ÷ 100 =
54000 ÷ 1000 =
5400 540
54
MNU 3-03aMNU 3-03b
18 Apr 202318 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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Whole NumbersWhole NumbersDivide by 10, 100, 1000
Example : A box contains 1000 cups. How many boxes are needed to hold
7000 ?7000 ÷ 1000 =7
MNU 3-03aMNU 3-03b
18 Apr 202318 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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Whole NumbersWhole Numbers
Example : Calculate 20 x 52
20 can be written as 2 x 10 so we have :
By combining our knowledge so far of “multiplying / dividing by 10, 100, 1000”
and “multiplying / dividing by a single digit”
we can do harder calculations.We use a TWO step process.
Multiply or Divide by 20,300,4000
2 x 10 x 52 =
Step 1 : 10 x 52 = Step 2 : 2 x 520 =520 1040
MNU 3-03aMNU 3-03b
18 Apr 202318 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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Whole NumbersWhole Numbers
Example : Calculate 44 x 30
30 can be written as 10 x 3 so we have :
Multiply or Divide by 20,300,4000
44 x 10 x 3 =
Step 1 : 44 x 10 = Step 2 : 440 x 3 =440 1320
Example : Calculate 300 x 35
300 can be written as 3 x 100 so we have :3 x 100 x 35 =
Step 1 : 100 x35 = Step 2 : 3500 x 3 =3500 10500
MNU 3-03aMNU 3-03b
18 Apr 202318 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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Whole NumbersWhole Numbers
Example : Calculate 16000 ÷ 200
Since 200 divide by 100 then divide by 2:
Multiply or Divide by 20,300,4000
16000 ÷ 100 ÷ 2 =
Step 1 : 16000 ÷ 100 =
Step 2 : 160 ÷ 2 =
160
80
MNU 3-03aMNU 3-03b
18 Apr 202318 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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Whole NumbersWhole Numbers
Example : Calculate 120000 ÷ 6000
Since 6000 divide by 1000 then divide by 6:
Multiply or Divide by 20,300,4000
120000 ÷ 1000 ÷ 6 =
Step 1 : 120000 ÷ 1000 =
Step 2 : 120 ÷ 6 =
120
20
MNU 3-03aMNU 3-03b
18 Apr 202318 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Now try TJ3a
Ex 3Ch2 (page 18)
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Basic Basic OperationsOperations
Are you on Target ?I can ?
MNU 3-03aMNU 3-03b
18 Apr 202318 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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2. Calculate 10% of 200
3. What is the name of the shape will this net make.
4. What is the answer to the sum 8+3 2.
MNU 3-03aMNU 3-03b
18 Apr 202318 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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1 We are learning the order of calculations using BODMAS.
1. Understand the order of calculations.
2. Use BODMAS to evaluate complicated calculations.
BODMASBODMAS
MNU 3-03aMNU 3-03b
18 Apr 202318 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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Calculations MUST BE done in a certain order.
We can use BODMAS to help us remember the order.
B - O -D -M -A -S -
BracketsOtherDivisionMultiplicationAdditionSubtraction
x and ÷same
priority
+ and -same
priority
BODMASBODMAS
MNU 3-03aMNU 3-03b
18 Apr 202318 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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BODMASBODMAS
200 – 25 x 2
= 200 – 50
= 150
9 – half of 10 + 2
= 9 – 5 + 2
= 4 + 2
= 6
MNU 3-03aMNU 3-03b
18 Apr 202318 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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BODMASBODMAS
80 ÷ (8 – 3)
= 80 ÷ 5
= 16
4 x ( 48 + 12) + 10
= 4 x 60 + 10
= 240 + 10
= 250
MNU 3-03aMNU 3-03b
18 Apr 202318 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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BODMASBODMAS
8² – 3²
= 64 - 9
= 55
(8 - 3) ²
= 5²
= 25
MNU 3-03aMNU 3-03b
18 Apr 202318 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Now try TJ3a
Ex 4Ch2 (page 20)
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BODMASBODMAS
Are you on Target ?I can ?
Mind Map
Have you updated your Learning Log ?