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MNU 3-03a MNU 3-03b 4-Dec-15Created by Mr. Lafferty Maths Dept. Whole Numbers Mental Basic Operations Multiplying / Dividing by 20, 50, 3000 www.mathsrevision.com.

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Presentation on theme: "MNU 3-03a MNU 3-03b 4-Dec-15Created by Mr. Lafferty Maths Dept. Whole Numbers Mental Basic Operations Multiplying / Dividing by 20, 50, 3000 www.mathsrevision.com."— Presentation transcript:

1 MNU 3-03a MNU 3-03b 4-Dec-15Created by Mr. Lafferty Maths Dept. Whole Numbers Mental Basic Operations Multiplying / Dividing by 20, 50, 3000 www.mathsrevision.com BODMAS Basic Operations

2 MNU 3-03a MNU 3-03b 4-Dec-15Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com 34 o

3 MNU 3-03a MNU 3-03b 4-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1.Using and understanding layout for basic operations. 1. We are learning the importance of layout when doing basic operations. Whole Numbers 2.Be able to solve context problems involving basic operations. Basic Operations

4 MNU 3-03a MNU 3-03b 4-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Whole Numbers There are many reasons why pupils do not get the correct answer to addition and subtraction sums. 23 +9 23 9 23 + 9 54 -8 8 -54 54 - 8 Basic Operations Are there any errors in these sums.

5 MNU 3-03a MNU 3-03b 4-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Whole Numbers Find the answers to Basic Operations 4 5 5 3 Remember ! 1 number 1 box 4 4 3 8

6 MNU 3-03a MNU 3-03b 4-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Whole Numbers There are many reasons why pupils do not get the correct answer to division sums. 586 ÷ 9 Basic Operations Are there any errors in these sums.

7 MNU 3-03a MNU 3-03b 4-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Whole Numbers Use the following layout for dividing by a single digit. Example : Basic Operations 7 2 4 Remember ! 1 number 1 box

8 MNU 3-03a MNU 3-03b 4-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Whole Numbers Example : A carton can hold 6 eggs. How many cartons are needed for 5436 eggs. Basic Operations 9 0 6

9 MNU 3-03a MNU 3-03b 4-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Whole Numbers There are many reasons why pupils do not get the correct answer to multiplication sums. 23 x 9 23 9 23 x 9 Basic Operations Are there any errors in these sums.

10 MNU 3-03a MNU 3-03b 4-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Whole 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

11 MNU 3-03a MNU 3-03b 4-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Whole 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

12 MNU 3-03a MNU 3-03b 4-Dec-15Created by Mr. Lafferty Maths Dept. Now try TJ3a Ex 1 Ch2 (page 13) www.mathsrevision.com Basic Operations Are you on Target ? I can ?

13 MNU 3-03a MNU 3-03b 4-Dec-15Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com 36 o

14 MNU 3-03a MNU 3-03b 4-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1 We are learning quick methods to do calculations mentally. 1. Use various methods to do calculations mentally. CalculationsMentally

15 MNU 3-03a MNU 3-03b 4-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com 75 – 49 = 26 CalculationsMentally 75 – 50 + 1 54 + 67 = 121 (50 + 60) + (4 + 7) = 110 + 11

16 MNU 3-03a MNU 3-03b 4-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com 64 x 9 = 576 CalculationsMentally 9 x 60 + 9 x 4 = 540 + 36 7 x £4.99 = £34.93 7 x £5 – 7 x 1p = £35 – 7p

17 MNU 3-03a MNU 3-03b 4-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com 147 ÷ 7 = 21 CalculationsMentally (140 ÷ 7) + (7 ÷ 7) = 20 + 1 126 ÷ 9 = 14 (99 ÷ 9) + (27 ÷ 9) = 11 + 3

18 MNU 3-03a MNU 3-03b 4-Dec-15Created by Mr. Lafferty Maths Dept. Now try TJ3a Ex 2 Ch2 (page 16) www.mathsrevision.com CalculationsMentally Are you on Target ? I can ?

19 MNU 3-03a MNU 3-03b 4-Dec-15Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com Make up your own Addition / Subtraction Question

20 MNU 3-03a MNU 3-03b 4-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 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 Numbers 2. Show all working. Multiply or Divide by 20,300,4000

21 MNU 3-03a MNU 3-03b 4-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Whole Numbers Multiply 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 =360360036000

22 MNU 3-03a MNU 3-03b 4-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Whole Numbers Multiply by 10, 100, 1000 Example : A box of crisps contain 48 packets. How many in 100 boxes ? 48 x 100 =4800

23 MNU 3-03a MNU 3-03b 4-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Whole Numbers Divide 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 = 5400540 54

24 MNU 3-03a MNU 3-03b 4-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Whole Numbers Divide by 10, 100, 1000 Example : A box contains 1000 cups. How many boxes are needed to hold 7000 ? 7000 ÷ 1000 =7

25 MNU 3-03a MNU 3-03b 4-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Whole 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

26 MNU 3-03a MNU 3-03b 4-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Whole 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 =4401320 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 =350010500

27 MNU 3-03a MNU 3-03b 4-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Whole 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 ÷ 1 00 = Step 2 : 160 ÷ 2 = 160 80

28 MNU 3-03a MNU 3-03b 4-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Whole 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 ÷ 1 000 = Step 2 : 120 ÷ 6 = 120 20

29 MNU 3-03a MNU 3-03b 4-Dec-15Created by Mr. Lafferty Maths Dept. Now try TJ3a Ex 3 Ch2 (page 18) www.mathsrevision.com Basic Operations Are you on Target ? I can ?

30 MNU 3-03a MNU 3-03b 4-Dec-15Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com

31 MNU 3-03a MNU 3-03b 4-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1 We are learning the order of calculations using BODMAS. 1. Understand the order of calculations. 2. Use BODMAS to evaluate complicated calculations. BODMAS

32 MNU 3-03a MNU 3-03b 4-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Calculations MUST BE done in a certain order. We can use BODMAS to help us remember the order. B- O- D- M- A- S- Brackets Other Division Multiplication Addition Subtraction x and ÷ same priority + and - same priority BODMAS

33 MNU 3-03a MNU 3-03b 4-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com BODMAS 200 – 25 x 2 = 200 – 50 = 150 9 – half of 10 + 2 = 9 – 5 + 2 = 4 + 2 = 6

34 MNU 3-03a MNU 3-03b 4-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com BODMAS 80 ÷ (8 – 3) = 80 ÷ 5 = 16 4 x ( 48 + 12) + 10 = 4 x 60 + 10 = 240 + 10 = 250

35 MNU 3-03a MNU 3-03b 4-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com BODMAS 8² – 3² = 64 - 9 = 55 (8 - 3) ² = 5² = 25

36 MNU 3-03a MNU 3-03b 4-Dec-15Created by Mr. Lafferty Maths Dept. Now try TJ3a Ex 4 Ch2 (page 20) www.mathsrevision.com BODMAS Are you on Target ? I can ? Mind Map Have you updated your Learning Log ?


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