1. Level 4 11-Nov-15Created by Mr. Lafferty Maths Dept. Significant Figures Estimating Integers www.mathsrevision.com Order of Operation Revision of Integer Operations

2. Level 4 11-Nov-15Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com In pairs, write down the rules for integers giving examples for each.

3. Learning Intention Success Criteria 1.To know the meaning of significant number. 1.We are learning the term significant numbers for decimals and whole numbers. 2.Apply knowledge to problems. www.mathsrevision.com Significant Numbers Level 4

4. www.mathsrevision.com Significant Numbers In mathematics a figure or digit is significant if it gives an idea of both: (i)Quantity (ii)Accuracy It is similar to rounding and all to do with zero’s Level 4

5. www.mathsrevision.com Significant Numbers Decimal numbers 0.04 0.37 1 significant figures 2 significant figures What is the first rule? 0’s at the beginning DON’T count 1.04 0.306 3 significant figures 3 significant figures What is the second rule? 0’s in the middle DO count 1.30 0.90 3 significant figures 2 significant figures What is the third rule? 0’s a the end DO count Level 4

6. www.mathsrevision.com Significant Numbers Easy rule :Just remember 0’s at the beginning DON’T count 1.24 2.307 1.2 2.3 0.445 0.0162 0.45 0.016 0.003398 0.0103290 0.0034 0.010 Exercise : Round to 2 sig figures 55.24 12.307 55 12 0.08445 0.00106 0.084 0.0011 0.030467 0.0503990 0.030 0.050 Level 4

7. www.mathsrevision.com Significant Numbers Whole Numbers 106 9087 3 significant figures 4 significant figures 360 ? 2 / 3 significant figures 0’s in the middle DO count 0’s at the end MAY or MAY NOT count depending on the question. There are 360 degrees in a circle. 358 to the nearest ten is 360. 3 significant figures 2 significant figures Level 4 What is the rule

8. www.mathsrevision.com Significant Numbers Easy rule :0’s at the end MAY or MAY NOT count 15030 230 15000 230 17693 135 18000 140 1378409 1155 1400000 1200 Exercise : Round to 2 sig figures 55 1094 55 1100 445 50298 450 50000 10000 314 10000 310 Level 4

9. Now try TJ 4+ Ex 1.1 Ch1 (page 6) www.mathsrevision.com Level 4 Significant Numbers

10. Level 4 11-Nov-15Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com In pairs, write down as many are formulae as you know for different shapes.

11. Learning Intention Success Criteria 1.Be able to round a number to any significant figure. 1.We are learning to use significant numbers to estimate values for calculations. 2.Apply knowledge to calculations to estimate values. www.mathsrevision.com Level 4 Estimating

12. 11-Nov-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Whole Numbers It is very important when solving problems that we have a rough idea of the answer we are expecting. Using Rounding to Estimate Answers Example :Mentally estimate the answer to 42 x 49 Easiest way, is to round the two numbers to 1 sig. Fig. 40 x 50 =400 x 5 =2000 Level 4

13. 11-Nov-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Whole Numbers Using Rounding to Estimate Answers Example :Mentally estimate the answer to 104 x 19 Easiest way, is to round the two numbers to 1 sig. Fig. 100 x 20 =1000 x 2 =2000 Example :Mentally estimate the answer to 878 ÷ 27 Easiest way, is to round the two numbers to 1 sig. Fig. 900 ÷ 30 =90 ÷ 3 =30 Level 4

14. Now try TJ 4+ Ex 1.2 Ch1 (page 7) www.mathsrevision.com Level 4 Significant Numbers

15. Level 4 11-Nov-15Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com

16. Level 4 11-Nov-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1.To understand what BODMAS means. 1. We are learning the order of doing calculations. Order of Operation 2.To be able to do calculations in the correct order. BODMAS

17. Level 4 Order of Operation 11-Nov-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com BODMAS B O D M A S - Brackets - Other - Division - Multiplication - Addition - Subtraction } } Priority Same Same “of” means x

18. Level 4 Order of Operation 11-Nov-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com BODMAS 1 + 4 x 5 = 1 + 20 = 21 -6 + 15 x 3 = -6 + 5 = -1

19. Level 4 Order of Operation 11-Nov-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com BODMAS 135 ÷(29-26) = 135 ÷ 3 = 45 (2 x 4) + (13-9) = 8 + 4 = 12

20. Level 4 Order of Operation 11-Nov-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com BODMAS 10 ÷ 5 – 3 + 7 = 12 Put in brackets to make calculation right. () 2 + 8 x 3 – 7 + 2 =21 ()

21. Level 4 Order of Operation 11-Nov-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com BODMAS 10 ÷ 5 – 3 + 7 = 12 Calculate ()

22. Level 4 Order of Operation www.mathsrevision.com Three. It seems that it could almost be either, but if you follow the mathematical orders of operation, division is performed before addition. So... half of two is one. Then add two, and the answer is three. Is half of two plus two equal to two or three?

23. Level 4 www.mathsrevision.com What is twice two thirds of three quarter of 10. 10 ! Order of Operation www.mathsrevision.com

24. Level 4 11-Nov-15Created by Mr. Lafferty Maths Dept. Now try 4+ Ex 1.3 Ch1 (page 8) www.mathsrevision.com Order of Operations

25. Level 4 11-Nov-15Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com

26. Level 4 11-Nov-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1. We are revising rules for integers. 1. Understand and be able to use rules to calculate values. Integers

27. Level 4 11-Nov-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Integers 5 + (-2) = 5 – 2 = 3 (-6) - 8 = -14 (-8e) + 17e = 9e (-7y) – (-3y) = -7y + 3y = -4y

28. Level 4 11-Nov-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Integers 5w 2 – ( -4w 2 ) = 5w 2 + 4w 2 = 9w 2 (-6) x (-8) = 48 (-21e) ÷ 3e = -7e (-5) 2 – (-3) 2 = 25 - 9 = 16

29. Level 4 11-Nov-15Created by Mr. Lafferty Maths Dept. Now try 4+ Ex 1.4 Ch1 (page 9) www.mathsrevision.com Order of Operations