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MNU 3-03a 15-Jan-15Created by Mr. Lafferty Maths Dept. Revision Level E Add & Subtract Decimals Decimals www.mathsrevision.com Multiplying by 2 Simple.

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Presentation on theme: "MNU 3-03a 15-Jan-15Created by Mr. Lafferty Maths Dept. Revision Level E Add & Subtract Decimals Decimals www.mathsrevision.com Multiplying by 2 Simple."— Presentation transcript:

1 MNU 3-03a 15-Jan-15Created by Mr. Lafferty Maths Dept. Revision Level E Add & Subtract Decimals Decimals Multiplying by 2 Simple Decimals Dividing 2 Simple Decimals Rounding to Any Number of Decimal Places Rounding to Significant Figures Profit and Loss Hire Purchase Salaries & Overtime Foreign Exchange

2 MNU 3-03a 15-Jan-15Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions If a = 7 b = 4 and c = 10 Write down as many equations as you can e.g.a + b = 11

3 MNU 3-03a 15-Jan-15Created by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 1.Understand how to round to 1 decimal place. 1. To revise Level E work. Decimals Revision of Level E 2.Apply rules for multiplying and dividing by 10, 100 and 1000.

4 15-Jan-15Created by Mr. Lafferty Maths Dept. Decimals Revision Level E 1. What does 6 stand for in 0.26 ? 6 hundredths 2. What number lies halfway between 0.1 and 0.02 ? Round to 1 decimal place Calculate 4.76 x Calculate ÷ Shop A sell 20 CD’s for £16 and Shop B sells 40 CD’s for £ Which shop is the cheapest Shop A 80p Shop B 79p B is cheaper! MNU 3-03a

5 15-Jan-15Created by Mr. Lafferty Maths Dept. Now try Exercise 1 Ch13 (page 56) Decimals Revision Level E MNU 3-03a

6 15-Jan-15Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions 1.Two numbers add to give 12 and 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.

7 MNU 3-03a 15-Jan-15Created by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 1.Remember to keep decimal point in line. 1. We are learning to add and subtract decimal numbers. Decimals 2.Make use of trailing 0’s when needed. Addition & Subtraction

8 15-Jan-15Created by Mr. Lafferty Maths Dept. Decimals Addition & Subtraction Example : Keep point in line MNU 3-03a

9 15-Jan-15Created by Mr. Lafferty Maths Dept. Decimals Addition & Subtraction Example : 6.2 – Add first Then subtract MNU 3-03a

10 15-Jan-15Created by Mr. Lafferty Maths Dept. Now try Exercise 2 Ch13 (page 58) Decimals Addition & Subtraction MNU 3-03a

11 15-Jan-15Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions

12 MNU 3-03a 15-Jan-15Created by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 1. We are learning to do simple decimal multiplication. 1. Apply rules to do simple multiplication. Decimals Simple Multiplication 2. Show clear working.

13 15-Jan-15Created by Mr. Lafferty Maths Dept. Decimals Simple Multiplication Example 1 : 0.6 x x 4 = 24 2 digits after decimal place Example 2 : 0.09 x x 3 = 27 3 digits after decimal place MNU 3-03a

14 15-Jan-15Created by Mr. Lafferty Maths Dept. Decimals Simple Multiplication Example 3 : x x 5 = digits after decimal place MNU 3-03a

15 15-Jan-15Created by Mr. Lafferty Maths Dept. Now try Exercise 5 Ch13 (page 62) Decimals Simple Multiplication MNU 3-03a

16 15-Jan-15Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions

17 MNU 3-03a 15-Jan-15Created by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 1. We are learning to divide simple decimal numbers. 1. Understand simple rule for dividing decimals. Decimals 2. Apply them to simple calculations. Division of a Decimal

18 15-Jan-15Created by Mr. Lafferty Maths Dept. Decimals Example 1 : 3.5 ÷ ÷ 7 =5 Example 2 : 0.8 ÷ ÷ 2 =4 Do not attempt to divide by a decimal, multiply the divisor so it is a whole number first. x 10 Division of a Decimal MNU 3-03a

19 15-Jan-15Created by Mr. Lafferty Maths Dept. Decimals Example 3 : ÷ ÷ 4 =0.9 Example 4 : 24 ÷ ÷ 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 Decimal MNU 3-03a

20 15-Jan-15Created by Mr. Lafferty Maths Dept. Now try Exercise 6 Ch13 (page 63) Decimals Division of a Decimal MNU 3-03a

21 15-Jan-15Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions The answer to the question is 60 Write down as many questions as you can

22 MNU 3-03a 15-Jan-15Created by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 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. Decimals Rounding to Any Number of Decimal Places

23 15-Jan-15Created by Mr. Lafferty Maths Dept. Decimals Rounding to Any Number of Decimal Places When rounding to : 1 decimal place look at 2 nd decimal figuree.g e.g e.g e.g decimal place look at 3 rd decimal figure 3 decimal place look at 4 th decimal figure 4 decimal place look at 5 th decimal figure MNU 3-03a

24 15-Jan-15Created by Mr. Lafferty Maths Dept. Decimals Rounding to Any Number of Decimal Places Example : The number Rounded to 1 decimal place, the number is Rounded to 2 decimal place, the number is Rounded to 3 decimal place, the number is Rounded to 4 decimal place, the number is MNU 3-03a

25 15-Jan-15Created by Mr. Lafferty Maths Dept. Now try Exercise 7 Ch13 (page 64) Decimals Rounding to Any Number of Decimal Places MNU 3-03a

26 15-Jan-15Created by Mr. Lafferty Maths Dept. Starter Questions

27 MNU 3-03a 15-Jan-15Created by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 1.Understand what the term significant figure means. 1.We are learning about the term significant figure. 2.Apply knowledge to problems. Significant Numbers

28 15-Jan-15Created by Mr. Lafferty Maths Dept. Significant 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 point then they are considered NOT significant. e.g. Has 3 significant figures. 506 cm 50.6 cm cm cm Has 3 significant figures. MNU 3-03a

29 15-Jan-15Created by Mr. Lafferty Maths Dept. Significant Numbers IMPORTANT : When dealing with WHOLE NUMBERS you need More 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 WHEN DEALING 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

30 15-Jan-15Created by Mr. Lafferty Maths Dept. Significant Figures Decimals Whole Numbers To the left of The number Middle of the number To the right of the number Not Significant Always Significant To the left of The number Middle of the number ? Depends More Info. Not Significant Always Significant Read Question WORK OUT WHAT THE ZERO MEANS MNU 3-03a

31 15-Jan-15Created by Mr. Lafferty Maths Dept. Now try Ex 8 Ch13 (page 65) Significant Numbers MNU 3-03a

32 15-Jan-15Created by Mr. Lafferty Maths Dept. Starter Questions Q x 8 Q3. Q2. Multiply out the brackets Q4.

33 MNU 3-03a 15-Jan-15Created by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 1.Understand the terms PROFIT and LOSS. 1.We are learning the terms profit and loss. 2.Apply knowledge to calculations. In context. Profit and Loss

34 MNU 3-03a 15-Jan-15Created by Mr. Lafferty Maths Dept. Profit 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

35 MNU 3-03a 15-Jan-15Created by Mr. Lafferty Maths Dept. Profit and Loss Example 2 I bought a bunch of flowers for £5.50 and tried to sell them for a profit. But I found it difficult to sell them. I sold them for £4.00 before they went off. Example 1 If I buy a Playstation for £100 and sell it for £120. £120-£100 = £20I have made a PROFIT of I made a LOSS of£ £4.00 = £1.50

36 15-Jan-15Created by Mr. Lafferty Maths Dept. Now try Ex 9 Ch13 (page 67) Q1 – Q3 Profit and Loss MNU 3-03a

37 15-Jan-15Created by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 1.To know the meaning of the term HIRE PURCHASE. 1.We are learning the the meaning of the term Hire Purchase. 2.Apply the process of working out the Hire Purchase for everyday products. Hire Purchase

38 MNU 3-03a 15-Jan-15Created by Mr. Lafferty Maths Dept. Starter Questions Q1. Expand out 2j (k – 5g + 4jk) Q3. Q2. Find all the missing angles Q o MNU 3-03a

39 15-Jan-15Created by Mr. Lafferty Maths Dept. Hire Purchase Hire Purchase :When you pay for goods by putting down a deposit and then paying the rest up in small fixed payments over a period of time. Normally you pay more for the goods using this method.

40 MNU 3-03a 15-Jan-15Created by Mr. Lafferty Maths Dept. Buying Products Hoover Cash Price £ or by H.P. £75 deposit + 12 Payment £28.80 £ x £28.80 = £420.60Total H.P. price = Hire Purchase Difference in price =£ £ = £55.10 How much more do you pay by using Hire Purchase

41 15-Jan-15Created by Mr. Lafferty Maths Dept. Now try Ex 9 Ch13 (page 68) Q4 – Q7 Hire Purchase MNU 3-03a

42 15-Jan-15Created by Mr. Lafferty Maths Dept. Starter Questions Q1. Expand out 2a (a – c + 4ab) Q3. Q2. Find the missing angle Q o

43 MNU 3-03a 15-Jan-15Created by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 1.To know the meaning of the terms Salary and Overtime. 1.We are learning to calculate Salaries and Overtime. 2.Apply knowledge to calculations. In context. Salaries & Overtime

44 MNU 3-03a 15-Jan-15Created by Mr. Lafferty Maths Dept. Salary :How much a person is paid to do a job. Can be measured weekly, monthly or annually. Salaries & Overtime Overtime :Extra work outside normal work time. Usually at night or weekends.

45 MNU 3-03a 15-Jan-15Created by Mr. Lafferty Maths Dept. £ x 12 = £ Annual Salary is = Example 1 : Mick the mechanic gets paid £ a month. How much is his annual salary. Salaries & Overtime

46 MNU 3-03a 15-Jan-15Created by Mr. Lafferty Maths Dept. £ ÷ 52 = £365.45Weekly Salary is = Example 2 : Claire the clerkess gets an annual salary of £ How much is her weekly wage. Salaries & Overtime

47 MNU 3-03a 15-Jan-15Created by Mr. Lafferty Maths Dept. 4 x £12.90 x 1.5 = £ hours Overtime is = Example 3 : Percy works for £12.90 per hour. His overtime rate is “time & a half”. What does he get paid for 4 hours overtime. Salaries & Overtime

48 15-Jan-15Created by Mr. Lafferty Maths Dept. Now try Ex 9 Ch13 (page 68) Q8 – Q14 Level F Salaries & Overtime

49 MNU 3-03a 15-Jan-15Created by Mr. Lafferty Maths Dept. Starter Questions Q1. Expand out 2a (a – c + 4ab) Q3. Find y Q2. Find two missing angles Q4. The answer is 45. What is the queston. 32 o

50 MNU 3-03a 15-Jan-15Created by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 1.Understand the term exchange rate and be apply it to convert £’s to another currency. 1.We are learning to convert £’s to another currency and vice versa. 2.Be able to convert back to £’s. Foreign Exchange 3. Show clear working.

51 MNU 3-03a 15-Jan-15Created by Mr. Lafferty Maths Dept. The currency in most of Europe is the euro € Converting £’s to Euros € simply multiply Foreign Exchange The exchange rate is approximately £ 1  1.54 € (a)To change £80 to euros80 x 1.54 = € Think going on holiday !

52 MNU 3-03a 15-Jan-15Created by Mr. Lafferty Maths Dept. Coming back from holiday we want to do the opposite i.e. euros to £’s Converting Euros €’s to £’s simply divide Foreign Exchange The exchange rate is approximately £ 1  1.54 € To change 616 € to £’s616 ÷ 1.54 =£400 Think back from holiday !

53 15-Jan-15Created by Mr. Lafferty Maths Dept. Now try Ex 9 Ch13 (page 70) Q15 – Q20 Foreign Exchange MNU 3-03a


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