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

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

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. Significant Numbers Level 4

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

Significant Numbers Decimal numbers significant figures 2 significant figures What is the first rule? 0’s at the beginning DON’T count significant figures 3 significant figures What is the second rule? 0’s in the middle DO count significant figures 2 significant figures What is the third rule? 0’s a the end DO count Level 4

Significant Numbers Easy rule :Just remember 0’s at the beginning DON’T count Exercise : Round to 2 sig figures Level 4

Significant Numbers Whole Numbers 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 significant figures 2 significant figures Level 4 What is the rule

Significant Numbers Easy rule :0’s at the end MAY or MAY NOT count Exercise : Round to 2 sig figures Level 4

Now try TJ 4+ Ex 1.1 Ch1 (page 6) Level 4 Significant Numbers

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

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. Level 4 Estimating

11-Nov-15Created by Mr. Lafferty Maths Dept. 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

11-Nov-15Created by Mr. Lafferty Maths Dept. 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

Now try TJ 4+ Ex 1.2 Ch1 (page 7) Level 4 Significant Numbers

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

Level 4 11-Nov-15Created by Mr. Lafferty Maths Dept. 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

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

Level 4 Order of Operation 11-Nov-15Created by Mr. Lafferty Maths Dept. BODMAS x 5 = = x 3 = = -1

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

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

Level 4 Order of Operation 11-Nov-15Created by Mr. Lafferty Maths Dept. BODMAS 10 ÷ 5 – = 12 Calculate ()

Level 4 Order of Operation 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?

Level 4 What is twice two thirds of three quarter of ! Order of Operation

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

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

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

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

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

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