integers
DESCRIPTION
Integers. Significant Figures. Estimating. Order of Operation. www.mathsrevision.com. Revision of Integer Operations. Starter Questions. In pairs, write down the rules for integers giving examples for each. www.mathsrevision.com. Significant Numbers. Level 4. Learning Intention. - PowerPoint PPT PresentationTRANSCRIPT
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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
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Level 4
20 Apr 202320 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Starter QuestionsStarter Questionsw
ww
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giving examples for each.
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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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Significant NumbersSignificant Numbers
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
0.3063 significant figures
3 significant figures
What is the second rule?
0’s in the middle DO count1.30
0.903 significant figures
2 significant figures
What is the third
rule?
0’s a the end DO count
Level 4
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Significant NumbersSignificant 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
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Significant NumbersSignificant Numbers
Whole Numbers
106
90873 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 NOTcount 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
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Significant NumbersSignificant 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
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Now try TJ 4+ Ex 1.1
Ch1 (page 6)
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Level 4
Significant NumbersSignificant Numbers
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Level 4
20 Apr 202320 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Starter QuestionsStarter Questionsw
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as you know for different shapes.
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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
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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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20 Apr 202320 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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Whole NumbersWhole NumbersUsing 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
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Now try TJ 4+ Ex 1.2
Ch1 (page 7)
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Level 4
Significant NumbersSignificant Numbers
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Level 4
20 Apr 202320 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Starter QuestionsStarter Questionsw
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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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Level 4
20 Apr 202320 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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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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Level 4
Order of Order of OperationOperation
20 Apr 202320 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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BODMAS
BODMAS
- Brackets- Other- Division- Multiplication- Addition- Subtraction
}}
Priority
Same
Same
“of” means
x
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Level 4
Order of Order of OperationOperation
20 Apr 202320 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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BODMAS
1 + 4 x 5= 1 + 20= 21
-6 + 15 ÷ 3= -6 + 5= -1
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Level 4
Order of Order of OperationOperation
20 Apr 202320 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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BODMAS
135 ÷(29-26)= 135 ÷ 3= 45
(2x4) + (13-9)= 8 + 4= 12
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Level 4
Order of Order of OperationOperation
20 Apr 202320 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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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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Level 4
Order of Order of OperationOperation
20 Apr 202320 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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BODMAS
10 ÷ 5 – 3 + 7 = 12
Calculate
( )
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Level 4
Order of Order of OperationOperation
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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?
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Level 4
www.mathsrevision.comwww.mathsrevision.com
What is twice two thirds of three quarter of 10.
10 !
Order of Order of OperationOperation
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Level 4
20 Apr 202320 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Now try 4+ Ex 1.3
Ch1 (page 8)
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Order of Order of OperationsOperations
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Level 4
20 Apr 202320 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Starter QuestionsStarter Questionsw
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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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Level 4
20 Apr 202320 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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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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Level 4
20 Apr 202320 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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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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Level 4
20 Apr 202320 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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IntegersIntegers
5w2 – ( -4w2)= 5w2 + 4w2
= 9w2
(-6) x (-8)= 48
(-21e) ÷ 3e = -7
(-5)2 – (-3)2
= 25 - 9= 16
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Level 4
20 Apr 202320 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Now try 4+ Ex 1.4
Ch1 (page 9)
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Order of Order of OperationsOperations