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

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

ww

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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

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Decimal numbers

0.04

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

rule?

0’s a the end DO count

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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

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Whole Numbers

106



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

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

Now try TJ 4+ Ex 1.1

Ch1 (page 6)

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Level 4


Level 4



ww

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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

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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


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

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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

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BODMAS

BODMAS

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

}}

Priority

Same

Same

“of” means

x

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BODMAS

1 + 4 x 5= 1 + 20= 21

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

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BODMAS

135 ÷(29-26)= 135 ÷ 3= 45

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

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BODMAS

10 ÷ 5 – 3 + 7 = 12

Put in brackets to make calculation right.

( )

2 + 8 x 3 – 7 + 2 =21( )

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BODMAS

10 ÷ 5 – 3 + 7 = 12

Calculate

( )

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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

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What is twice two thirds of three quarter of 10.

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

2 2

1 33. +

2 4

4. Find the value of x

3x +9 27

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1. We are revising rules for integers.

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

IntegersIntegers

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IntegersIntegers

5 + (-2)= 5 – 2= 3

(-6) - 8= -14

(-8e) + 17e= 9e

(-7y) – (-3y)= -7y + 3y= -4y

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IntegersIntegers

5w2 – ( -4w2)= 5w2 + 4w2

= 9w2

(-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

Documents

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