Level 4 11-Nov-15Created by Mr. Lafferty Maths Dept. Significant Figures Estimating Integers Order...

Level 4

20 Apr 202320 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.

Significant Figures

Estimating

IntegersIntegersw

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Order of Operation

Revision of Integer Operations

Level 4

Starter QuestionsStarter Questionsw

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.com In pairs, write down the rules for integers

giving examples for each.

Learning IntentionLearning Intention Success CriteriaSuccess Criteria

1.1. To know the To know the meaning of meaning of significant significant number.number.

1. We are learning the term significant numbers for decimals and whole numbers. 2.2. Apply knowledge Apply knowledge

to problems.to problems.

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Significant NumbersSignificant NumbersLevel 4

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Significant NumbersSignificant 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

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Decimal numbers

0.371 significant figures

2 significant figures

What is the first rule?

0’s at the beginning DON’T count1.04

What is the second rule?

0’s in the middle DO count1.30

What is the third

0’s a the end DO count

Level 4

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Easy rule : Just remember 0’s at the beginning DON’T count

0.0162

0.003398

0.0103290

0.0034

Exercise : Round to 2 sig figures

12.307

0.08445

0.00106

0.0011

0.030467

0.0503990

Level 4

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Whole Numbers

360 ? 2 / 3 significant figures

0’s in the middle DO count

0’s at the end MAY or MAY NOTcount depending on the question.

There are 360 degrees in a circle.

358 to the nearest ten is 360.

Level 4

What is the rule

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Easy rule : 0’s at the end MAY or MAY NOT count

1378409

1400000

Exercise : Round to 2 sig figures

Level 4

Now try TJ 4+ Ex 1.1

Ch1 (page 6)

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Level 4

srevis

.com In pairs, write down as many are formulae

as you know for different shapes.

Learning IntentionLearning Intention Success CriteriaSuccess Criteria

1.1. Be able to round a Be able to round a number to any number to any significant figure.significant figure.

1. We are learning to use significant numbers to estimate values for calculations. 2.2. Apply knowledge Apply knowledge

to calculations to to calculations to estimate values.estimate values.

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Level 4

EstimatingEstimating

20 Apr 202320 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww

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Whole NumbersWhole Numbers

It is very important when solving problems that we havea 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

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Whole NumbersWhole NumbersUsing Rounding to Estimate Answers

Example : Mentally estimate the answer to 104 x 19

100 x 20 =1000 x 2 =2000

Example : Mentally estimate the answer to 878 ÷ 27

900 ÷ 30 =90 ÷ 3 =30

Level 4

Now try TJ 4+ Ex 1.2

Ch1 (page 7)

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Level 4

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(a) 6.67 (b) 5.54 (c) 7.99

1. 99.6 + 7.27

3. 40% of 160p

4. Round to 1 decimal place

5. Find the value of x 5x +25 = 105

2. Calculate 70% of 84

Level 4

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.com Learning IntentionLearning Intention Success CriteriaSuccess Criteria

1.1. To understand what To understand what BODMAS means.BODMAS means.

1. We are learning the order of doing calculations.

Order of Order of OperationOperation

2.2. To be able to do To be able to do calculations in the calculations in the

correct correct order.order.

BODMAS

Level 4

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BODMAS

- Brackets- Other- Division- Multiplication- Addition- Subtraction

Priority

“of” means

Level 4

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BODMAS

1 + 4 x 5= 1 + 20= 21

-6 + 15 x 3= -6 + 5= -1

Level 4

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BODMAS

135 ÷(29-26)= 135 ÷ 3= 45

(2x4) + (13-9)= 8 + 4= 12

Level 4

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BODMAS

10 ÷ 5 – 3 + 7 = 12

Put in brackets to make calculation right.

2 + 8 x 3 – 7 + 2 =21( )

Level 4

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BODMAS

10 ÷ 5 – 3 + 7 = 12

Calculate

Level 4

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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

www.mathsrevision.comwww.mathsrevision.com

What is twice two thirds of three quarter of 10.

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Level 4

Now try 4+ Ex 1.3

Ch1 (page 8)

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Order of Order of OperationsOperations

Level 4

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1. My shape has only 1 pair of

parallel lines. What is my shape?

1 12. Calculate of

1 33. +

4. Find the value of x

3x +9 27

Level 4

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.com Learning IntentionLearning Intention Success CriteriaSuccess Criteria

1. We are revising rules for integers.

1. Understand and be able to use rules to calculate values.

IntegersIntegers

Level 4

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IntegersIntegers

5 + (-2)= 5 – 2= 3

(-6) - 8= -14

(-8e) + 17e= 9e

(-7y) – (-3y)= -7y + 3y= -4y

Level 4

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IntegersIntegers

5w2 – ( -4w2)= 5w2 + 4w2

(-6) x (-8)= 48

(-21e) ÷ 3e = -7e

(-5)2 – (-3)2

= 25 - 9= 16

Level 4

Now try 4+ Ex 1.4

Ch1 (page 9)

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Order of Order of OperationsOperations

Level 4 11-Nov-15Created by Mr. Lafferty Maths Dept. Significant Figures Estimating Integers Order...

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