Mathematical Requirements 1

7/28/2019 Mathematical Requirements 1

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Mathematical Requirements

AQA expect all students to have developed certain mathematical skills before beginning and AS and A2 Physics. It is expected thathave acquired competence in the following areas of mathematics in order for you to be able to progress through the course. If you

feel there are areas that need work, you will see links in the table to online workbooks and quizzes to assist you. You will also seereferences to these as you move through the course book.

When you registered for this course, you should have received log-in information forwww.mangahigh.com. If you havent receivedthis information, please contact your tutor. When you log-in to mangahigh, you will find a series of challenges. These are allrelevant to AS and A2 Physics. The table below indicates which skills they relate to. Ive added page numbers to help you findthem. Any section highlighted in red is A2 only.

Topic Candidates should be able to: Mangahigh Challenges ChallengeNo.

Other resources

Arithmetic andcomputation

recognise and use expressions indecimal and standard form

Change between standardform and ordinary numbers

17 http://go.nln.ac.uk/?req=%7B79D27C79-ACC5-49AA-8B3B-B4F9B17EEFE4%7D

Solve problems usingstandard form

18

use ratios, fractions and percentages Ratios 14 Fractions:http://www.nln.ac.uk/?p=LO&req=%7BC0298BF6-15D4-4D73-BEE1-E5D50A737332%7D

Percentages

http://www.nln.ac.uk/?p=LO&req=%7BE96A619A-D05F-4294-B0FA-D57060EE5C17%7D

Working with ratios 15

Write one number as afraction of another

8

Find a fraction of an amount 10

Reciprocals 11

Find one amount as apercentage of another -calculator

13

Find percentagescalculator

12
http://www.mangahigh.com/http://www.mangahigh.com/http://www.mangahigh.com/http://go.nln.ac.uk/?req=%7B79D27C79-ACC5-49AA-8B3B-B4F9B17EEFE4%7Dhttp://go.nln.ac.uk/?req=%7B79D27C79-ACC5-49AA-8B3B-B4F9B17EEFE4%7Dhttp://go.nln.ac.uk/?req=%7B79D27C79-ACC5-49AA-8B3B-B4F9B17EEFE4%7Dhttp://go.nln.ac.uk/?req=%7B79D27C79-ACC5-49AA-8B3B-B4F9B17EEFE4%7Dhttp://www.nln.ac.uk/?p=LO&req=%7BC0298BF6-15D4-4D73-BEE1-E5D50A737332%7Dhttp://www.nln.ac.uk/?p=LO&req=%7BC0298BF6-15D4-4D73-BEE1-E5D50A737332%7Dhttp://www.nln.ac.uk/?p=LO&req=%7BC0298BF6-15D4-4D73-BEE1-E5D50A737332%7Dhttp://www.nln.ac.uk/?p=LO&req=%7BC0298BF6-15D4-4D73-BEE1-E5D50A737332%7Dhttp://www.nln.ac.uk/?p=LO&req=%7BE96A619A-D05F-4294-B0FA-D57060EE5C17%7Dhttp://www.nln.ac.uk/?p=LO&req=%7BE96A619A-D05F-4294-B0FA-D57060EE5C17%7Dhttp://www.nln.ac.uk/?p=LO&req=%7BE96A619A-D05F-4294-B0FA-D57060EE5C17%7Dhttp://www.nln.ac.uk/?p=LO&req=%7BE96A619A-D05F-4294-B0FA-D57060EE5C17%7Dhttp://www.nln.ac.uk/?p=LO&req=%7BE96A619A-D05F-4294-B0FA-D57060EE5C17%7Dhttp://www.nln.ac.uk/?p=LO&req=%7BE96A619A-D05F-4294-B0FA-D57060EE5C17%7Dhttp://www.nln.ac.uk/?p=LO&req=%7BE96A619A-D05F-4294-B0FA-D57060EE5C17%7Dhttp://www.nln.ac.uk/?p=LO&req=%7BC0298BF6-15D4-4D73-BEE1-E5D50A737332%7Dhttp://www.nln.ac.uk/?p=LO&req=%7BC0298BF6-15D4-4D73-BEE1-E5D50A737332%7Dhttp://www.nln.ac.uk/?p=LO&req=%7BC0298BF6-15D4-4D73-BEE1-E5D50A737332%7Dhttp://go.nln.ac.uk/?req=%7B79D27C79-ACC5-49AA-8B3B-B4F9B17EEFE4%7Dhttp://go.nln.ac.uk/?req=%7B79D27C79-ACC5-49AA-8B3B-B4F9B17EEFE4%7Dhttp://go.nln.ac.uk/?req=%7B79D27C79-ACC5-49AA-8B3B-B4F9B17EEFE4%7Dhttp://www.mangahigh.com/


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use calculators to find and use:

xn, 1/x, x, log10x, ex, logex

use calculators to handle sin x, cos x,tan x when x is expressed in degreesor radians

Handling Data use an appropriate number ofsignificant figures

Round using significantfigures

16 http://www.bbc.co.uk/schools/gcsebitesize/maths/number/roundestimaterev1.shtml

http://go.nln.ac.uk/?req=%7B3D8EC856-14B7-4AD7-9C34-7B43A9D7394D%7D

find arithmetic means Find the mean 61

make order of magnitude calculations See Units exercises belowAlgebra understand and use the symbols:=, , , ~

Direct proportion 39

Inequalities 31change the subject of an equation bymanipulation of the terms, includingpositive, negative, integer andfractional indices.

Solve equations byrearranging

30

substitute numerical values intoalgebraic equations using appropriateunits for physical quantities

Metric Units 53 Appropriate units -http://www.mathcentre.ac.uk/resources/leaflets/mathcentre/mechanics/mc-web-mech1-2-2009.pdf

http://www.tech.plym.ac.uk/math

s/resources/PDFLaTeX/units.pdf

Changing Unitshttp://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/conv_units.pdf

Units of area and volume 54

Substitute whole numbers

into algebra

19

Substitute whole numbersinto algebra using indices

20

Substitute positive andnegatives into algebra usingindices

21
http://www.bbc.co.uk/schools/gcsebitesize/maths/number/roundestimaterev1.shtmlhttp://www.bbc.co.uk/schools/gcsebitesize/maths/number/roundestimaterev1.shtmlhttp://www.bbc.co.uk/schools/gcsebitesize/maths/number/roundestimaterev1.shtmlhttp://go.nln.ac.uk/?req=%7B3D8EC856-14B7-4AD7-9C34-7B43A9D7394D%7Dhttp://go.nln.ac.uk/?req=%7B3D8EC856-14B7-4AD7-9C34-7B43A9D7394D%7Dhttp://go.nln.ac.uk/?req=%7B3D8EC856-14B7-4AD7-9C34-7B43A9D7394D%7Dhttp://go.nln.ac.uk/?req=%7B3D8EC856-14B7-4AD7-9C34-7B43A9D7394D%7Dhttp://www.mathcentre.ac.uk/resources/leaflets/mathcentre/mechanics/mc-web-mech1-2-2009.pdfhttp://www.mathcentre.ac.uk/resources/leaflets/mathcentre/mechanics/mc-web-mech1-2-2009.pdfhttp://www.mathcentre.ac.uk/resources/leaflets/mathcentre/mechanics/mc-web-mech1-2-2009.pdfhttp://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/units.pdfhttp://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/units.pdfhttp://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/units.pdfhttp://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/conv_units.pdfhttp://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/conv_units.pdfhttp://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/conv_units.pdfhttp://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/conv_units.pdfhttp://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/conv_units.pdfhttp://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/conv_units.pdfhttp://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/conv_units.pdfhttp://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/units.pdfhttp://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/units.pdfhttp://www.mathcentre.ac.uk/resources/leaflets/mathcentre/mechanics/mc-web-mech1-2-2009.pdfhttp://www.mathcentre.ac.uk/resources/leaflets/mathcentre/mechanics/mc-web-mech1-2-2009.pdfhttp://www.mathcentre.ac.uk/resources/leaflets/mathcentre/mechanics/mc-web-mech1-2-2009.pdfhttp://go.nln.ac.uk/?req=%7B3D8EC856-14B7-4AD7-9C34-7B43A9D7394D%7Dhttp://go.nln.ac.uk/?req=%7B3D8EC856-14B7-4AD7-9C34-7B43A9D7394D%7Dhttp://go.nln.ac.uk/?req=%7B3D8EC856-14B7-4AD7-9C34-7B43A9D7394D%7Dhttp://www.bbc.co.uk/schools/gcsebitesize/maths/number/roundestimaterev1.shtmlhttp://www.bbc.co.uk/schools/gcsebitesize/maths/number/roundestimaterev1.shtmlhttp://www.bbc.co.uk/schools/gcsebitesize/maths/number/roundestimaterev1.shtml


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Substitute any number intoalgebra

22Electrical Unitshttp://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/elec_units.pdf

Dimensional Analysis:http://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/dimensions.pdf

Compound Measures:http://archive.excellencegateway.or

g.uk/media/KSSP/n3_1.2_compoun

d_measures.pdf

solve simple algebraic equations Introducing equations andfunction machines

4 Transposing Formulaehttp://go.nln.ac.uk/?req=%7B30AD9A92-3324-4210-9FBA-C6458071FE6A%7D

Introducing Equations 23

Solve linear equations 24

Solve linear equationsinvolving negatives

25

Two-step equations,including brackets

6

Solve linear equations

involving brackets

26

Solve linear equations withan unknown on both sides

27

Harder two-step equations 5
http://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/elec_units.pdfhttp://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/elec_units.pdfhttp://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/elec_units.pdfhttp://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/elec_units.pdfhttp://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/dimensions.pdfhttp://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/dimensions.pdfhttp://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/dimensions.pdfhttp://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/dimensions.pdfhttp://archive.excellencegateway.org.uk/media/KSSP/n3_1.2_compound_measures.pdfhttp://archive.excellencegateway.org.uk/media/KSSP/n3_1.2_compound_measures.pdfhttp://archive.excellencegateway.org.uk/media/KSSP/n3_1.2_compound_measures.pdfhttp://archive.excellencegateway.org.uk/media/KSSP/n3_1.2_compound_measures.pdfhttp://go.nln.ac.uk/?req=%7B30AD9A92-3324-4210-9FBA-C6458071FE6A%7Dhttp://go.nln.ac.uk/?req=%7B30AD9A92-3324-4210-9FBA-C6458071FE6A%7Dhttp://go.nln.ac.uk/?req=%7B30AD9A92-3324-4210-9FBA-C6458071FE6A%7Dhttp://go.nln.ac.uk/?req=%7B30AD9A92-3324-4210-9FBA-C6458071FE6A%7Dhttp://go.nln.ac.uk/?req=%7B30AD9A92-3324-4210-9FBA-C6458071FE6A%7Dhttp://go.nln.ac.uk/?req=%7B30AD9A92-3324-4210-9FBA-C6458071FE6A%7Dhttp://go.nln.ac.uk/?req=%7B30AD9A92-3324-4210-9FBA-C6458071FE6A%7Dhttp://archive.excellencegateway.org.uk/media/KSSP/n3_1.2_compound_measures.pdfhttp://archive.excellencegateway.org.uk/media/KSSP/n3_1.2_compound_measures.pdfhttp://archive.excellencegateway.org.uk/media/KSSP/n3_1.2_compound_measures.pdfhttp://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/dimensions.pdfhttp://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/dimensions.pdfhttp://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/dimensions.pdfhttp://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/elec_units.pdfhttp://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/elec_units.pdfhttp://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/elec_units.pdf


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Three-Step Equations 7

Solve Linear Equationsinvolving fractions anddecimals

28

Graphs translate information betweengraphical, numerical and algebraicforms

Solve simultaneousequations - straight linegraphs

Graphical Solutions:http://go.nln.ac.uk/?req=%7BC30D6E66-4887-4979-8586-D4F0EF3E1A5B%7D

Quadratic Equations (graphs)http://go.nln.ac.uk/?req=%7B883

AAF82-83A5-4EE3-8671-93341753290F%7D

Quadratic Equations (factorise)http://go.nln.ac.uk/?req=%7B2DFC3B64-D2B7-4046-B2B0-1A1D39DA784E%7D

Simultaneous Equationshttp://go.nln.ac.uk/?req=%7B7780228A-5A2C-4C86-ACC7-F13D7FEC2185%7D

Solve simultaneousequations - eliminationmethod

32

Solve simultaneousequations - substitutionmethod

33

Forming Simultaneousequations

67

Solve Quadratics by usingthe Quadratic Formula

29

plot two variables from experimental

or other data

Use line graphs 66 Graphs:

http://go.nln.ac.uk/?req=%7BD077A5EC-1F4A-4185-BC85-8EEB060725EF%7D

understand that y = mx +c representsa linear graph

Draw Straight Line Graphsusing y=mx+c

34
http://go.nln.ac.uk/?req=%7BC30D6E66-4887-4979-8586-D4F0EF3E1A5B%7Dhttp://go.nln.ac.uk/?req=%7BC30D6E66-4887-4979-8586-D4F0EF3E1A5B%7Dhttp://go.nln.ac.uk/?req=%7BC30D6E66-4887-4979-8586-D4F0EF3E1A5B%7Dhttp://go.nln.ac.uk/?req=%7BC30D6E66-4887-4979-8586-D4F0EF3E1A5B%7Dhttp://go.nln.ac.uk/?req=%7B883AAF82-83A5-4EE3-8671-93341753290F%7Dhttp://go.nln.ac.uk/?req=%7B883AAF82-83A5-4EE3-8671-93341753290F%7Dhttp://go.nln.ac.uk/?req=%7B883AAF82-83A5-4EE3-8671-93341753290F%7Dhttp://go.nln.ac.uk/?req=%7B883AAF82-83A5-4EE3-8671-93341753290F%7Dhttp://go.nln.ac.uk/?req=%7B2DFC3B64-D2B7-4046-B2B0-1A1D39DA784E%7Dhttp://go.nln.ac.uk/?req=%7B2DFC3B64-D2B7-4046-B2B0-1A1D39DA784E%7Dhttp://go.nln.ac.uk/?req=%7B2DFC3B64-D2B7-4046-B2B0-1A1D39DA784E%7Dhttp://go.nln.ac.uk/?req=%7B2DFC3B64-D2B7-4046-B2B0-1A1D39DA784E%7Dhttp://go.nln.ac.uk/?req=%7B7780228A-5A2C-4C86-ACC7-F13D7FEC2185%7Dhttp://go.nln.ac.uk/?req=%7B7780228A-5A2C-4C86-ACC7-F13D7FEC2185%7Dhttp://go.nln.ac.uk/?req=%7B7780228A-5A2C-4C86-ACC7-F13D7FEC2185%7Dhttp://go.nln.ac.uk/?req=%7B7780228A-5A2C-4C86-ACC7-F13D7FEC2185%7Dhttp://go.nln.ac.uk/?req=%7BD077A5EC-1F4A-4185-BC85-8EEB060725EF%7Dhttp://go.nln.ac.uk/?req=%7BD077A5EC-1F4A-4185-BC85-8EEB060725EF%7Dhttp://go.nln.ac.uk/?req=%7BD077A5EC-1F4A-4185-BC85-8EEB060725EF%7Dhttp://go.nln.ac.uk/?req=%7BD077A5EC-1F4A-4185-BC85-8EEB060725EF%7Dhttp://go.nln.ac.uk/?req=%7BD077A5EC-1F4A-4185-BC85-8EEB060725EF%7Dhttp://go.nln.ac.uk/?req=%7BD077A5EC-1F4A-4185-BC85-8EEB060725EF%7Dhttp://go.nln.ac.uk/?req=%7BD077A5EC-1F4A-4185-BC85-8EEB060725EF%7Dhttp://go.nln.ac.uk/?req=%7B7780228A-5A2C-4C86-ACC7-F13D7FEC2185%7Dhttp://go.nln.ac.uk/?req=%7B7780228A-5A2C-4C86-ACC7-F13D7FEC2185%7Dhttp://go.nln.ac.uk/?req=%7B7780228A-5A2C-4C86-ACC7-F13D7FEC2185%7Dhttp://go.nln.ac.uk/?req=%7B2DFC3B64-D2B7-4046-B2B0-1A1D39DA784E%7Dhttp://go.nln.ac.uk/?req=%7B2DFC3B64-D2B7-4046-B2B0-1A1D39DA784E%7Dhttp://go.nln.ac.uk/?req=%7B2DFC3B64-D2B7-4046-B2B0-1A1D39DA784E%7Dhttp://go.nln.ac.uk/?req=%7B883AAF82-83A5-4EE3-8671-93341753290F%7Dhttp://go.nln.ac.uk/?req=%7B883AAF82-83A5-4EE3-8671-93341753290F%7Dhttp://go.nln.ac.uk/?req=%7B883AAF82-83A5-4EE3-8671-93341753290F%7Dhttp://go.nln.ac.uk/?req=%7BC30D6E66-4887-4979-8586-D4F0EF3E1A5B%7Dhttp://go.nln.ac.uk/?req=%7BC30D6E66-4887-4979-8586-D4F0EF3E1A5B%7Dhttp://go.nln.ac.uk/?req=%7BC30D6E66-4887-4979-8586-D4F0EF3E1A5B%7D


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determine the slope and intercept of alinear graph

Find the equation of a linefrom a graph

35

draw and use the slope of thetangent to a curve as a measure ofrate of change

Introduction to differentiationhttp://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/intro_diff

.pdf

http://go.nln.ac.uk/?req=%7B3110A111-FB0B-45FA-92F9-65ABDB3FDB34%7D

Application of differentiation tofind tangents and normalshttp://www.mathcentre.ac.uk/topics/differentiation/tangents/

http://go.nln.ac.uk/?req=%7B0BDDDA16-7261-4A59-9050-EDB084A8D4BE%7D

http://go.nln.ac.uk/?req=%7BDBE83622-9A1A-4747-87E1-9ED35FB3D9F9%7D

understand the possible physicalsignificance of the area between a

curve and the x-axis and be able tocalculate it or measure it bycounting squares as appropriate

Integrationhttp://www.mathcentre.ac.uk/topi

cs/integration/reverse-differentiation/?audience=students

Application of integration to findareas and volumes
http://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/intro_diff.pdfhttp://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/intro_diff.pdfhttp://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/intro_diff.pdfhttp://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/intro_diff.pdfhttp://go.nln.ac.uk/?req=%7B3110A111-FB0B-45FA-92F9-65ABDB3FDB34%7Dhttp://go.nln.ac.uk/?req=%7B3110A111-FB0B-45FA-92F9-65ABDB3FDB34%7Dhttp://go.nln.ac.uk/?req=%7B3110A111-FB0B-45FA-92F9-65ABDB3FDB34%7Dhttp://go.nln.ac.uk/?req=%7B3110A111-FB0B-45FA-92F9-65ABDB3FDB34%7Dhttp://www.mathcentre.ac.uk/topics/differentiation/tangents/http://www.mathcentre.ac.uk/topics/differentiation/tangents/http://www.mathcentre.ac.uk/topics/differentiation/tangents/http://go.nln.ac.uk/?req=%7B0BDDDA16-7261-4A59-9050-EDB084A8D4BE%7Dhttp://go.nln.ac.uk/?req=%7B0BDDDA16-7261-4A59-9050-EDB084A8D4BE%7Dhttp://go.nln.ac.uk/?req=%7B0BDDDA16-7261-4A59-9050-EDB084A8D4BE%7Dhttp://go.nln.ac.uk/?req=%7B0BDDDA16-7261-4A59-9050-EDB084A8D4BE%7Dhttp://go.nln.ac.uk/?req=%7BDBE83622-9A1A-4747-87E1-9ED35FB3D9F9%7Dhttp://go.nln.ac.uk/?req=%7BDBE83622-9A1A-4747-87E1-9ED35FB3D9F9%7Dhttp://go.nln.ac.uk/?req=%7BDBE83622-9A1A-4747-87E1-9ED35FB3D9F9%7Dhttp://go.nln.ac.uk/?req=%7BDBE83622-9A1A-4747-87E1-9ED35FB3D9F9%7Dhttp://www.mathcentre.ac.uk/topics/integration/reverse-differentiation/?audience=studentshttp://www.mathcentre.ac.uk/topics/integration/reverse-differentiation/?audience=studentshttp://www.mathcentre.ac.uk/topics/integration/reverse-differentiation/?audience=studentshttp://www.mathcentre.ac.uk/topics/integration/reverse-differentiation/?audience=studentshttp://www.mathcentre.ac.uk/topics/integration/reverse-differentiation/?audience=studentshttp://www.mathcentre.ac.uk/topics/integration/reverse-differentiation/?audience=studentshttp://www.mathcentre.ac.uk/topics/integration/reverse-differentiation/?audience=studentshttp://www.mathcentre.ac.uk/topics/integration/reverse-differentiation/?audience=studentshttp://www.mathcentre.ac.uk/topics/integration/reverse-differentiation/?audience=studentshttp://go.nln.ac.uk/?req=%7BDBE83622-9A1A-4747-87E1-9ED35FB3D9F9%7Dhttp://go.nln.ac.uk/?req=%7BDBE83622-9A1A-4747-87E1-9ED35FB3D9F9%7Dhttp://go.nln.ac.uk/?req=%7BDBE83622-9A1A-4747-87E1-9ED35FB3D9F9%7Dhttp://go.nln.ac.uk/?req=%7B0BDDDA16-7261-4A59-9050-EDB084A8D4BE%7Dhttp://go.nln.ac.uk/?req=%7B0BDDDA16-7261-4A59-9050-EDB084A8D4BE%7Dhttp://go.nln.ac.uk/?req=%7B0BDDDA16-7261-4A59-9050-EDB084A8D4BE%7Dhttp://www.mathcentre.ac.uk/topics/differentiation/tangents/http://www.mathcentre.ac.uk/topics/differentiation/tangents/http://go.nln.ac.uk/?req=%7B3110A111-FB0B-45FA-92F9-65ABDB3FDB34%7Dhttp://go.nln.ac.uk/?req=%7B3110A111-FB0B-45FA-92F9-65ABDB3FDB34%7Dhttp://go.nln.ac.uk/?req=%7B3110A111-FB0B-45FA-92F9-65ABDB3FDB34%7Dhttp://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/intro_diff.pdfhttp://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/intro_diff.pdfhttp://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/intro_diff.pdf


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http://www.mathcentre.ac.uk/topics/integration/finding-areas-volumes/

use logarithmic plots to testexponential and power law

variations

http://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/logs.pdf

http://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/loglog.pdf

sketch simple functions includingy=kx, y = kx2, y = k/x2, y = sin x,y = cos x, y = e -kx

Drawing Curves 36 Sine Waves:http://go.nln.ac.uk/?req=%7BC943EB2A-7A59-4F60-BF5C-0E46F76226FA%7D

Sine and Cosinehttp://go.nln.ac.uk/?req=%7BA6431737-A251-454D-980C-422FE613C32F%7D

Exponential graphs 37Trigonometric graphs 38

Geometry andTrigonometry

calculate areas of triangles,circumferences and areas of circles,surface areas and volumes ofrectangular block, cylinders andspheres

Area of a triangle 41 Areashttp://go.nln.ac.uk/?req=%7BE2F106E9-1DA7-4179-969B-0B640E8F64B7%7D

Volumehttp://go.nln.ac.uk/?req=%7BDD

3152EB-8A93-4467-9AB7-6921BF64725D%7D

Surface Area of cubes andcuboids

42

Surface area of a sphere 43

Volume of a cuboid 44

Volume of spheres 68

Volume of a prism 45The parts of a circle 46

Circumference of a circle 47

Area of a circle 48

Surface Area of a Cylinder 51
http://www.mathcentre.ac.uk/topics/integration/finding-areas-volumes/http://www.mathcentre.ac.uk/topics/integration/finding-areas-volumes/http://www.mathcentre.ac.uk/topics/integration/finding-areas-volumes/http://www.mathcentre.ac.uk/topics/integration/finding-areas-volumes/http://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/logs.pdfhttp://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/logs.pdfhttp://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/logs.pdfhttp://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/loglog.pdfhttp://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/loglog.pdfhttp://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/loglog.pdfhttp://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/loglog.pdfhttp://go.nln.ac.uk/?req=%7BC943EB2A-7A59-4F60-BF5C-0E46F76226FA%7Dhttp://go.nln.ac.uk/?req=%7BC943EB2A-7A59-4F60-BF5C-0E46F76226FA%7Dhttp://go.nln.ac.uk/?req=%7BC943EB2A-7A59-4F60-BF5C-0E46F76226FA%7Dhttp://go.nln.ac.uk/?req=%7BC943EB2A-7A59-4F60-BF5C-0E46F76226FA%7Dhttp://go.nln.ac.uk/?req=%7BA6431737-A251-454D-980C-422FE613C32F%7Dhttp://go.nln.ac.uk/?req=%7BA6431737-A251-454D-980C-422FE613C32F%7Dhttp://go.nln.ac.uk/?req=%7BA6431737-A251-454D-980C-422FE613C32F%7Dhttp://go.nln.ac.uk/?req=%7BA6431737-A251-454D-980C-422FE613C32F%7Dhttp://go.nln.ac.uk/?req=%7BE2F106E9-1DA7-4179-969B-0B640E8F64B7%7Dhttp://go.nln.ac.uk/?req=%7BE2F106E9-1DA7-4179-969B-0B640E8F64B7%7Dhttp://go.nln.ac.uk/?req=%7BE2F106E9-1DA7-4179-969B-0B640E8F64B7%7Dhttp://go.nln.ac.uk/?req=%7BE2F106E9-1DA7-4179-969B-0B640E8F64B7%7Dhttp://go.nln.ac.uk/?req=%7BDD3152EB-8A93-4467-9AB7-6921BF64725D%7Dhttp://go.nln.ac.uk/?req=%7BDD3152EB-8A93-4467-9AB7-6921BF64725D%7Dhttp://go.nln.ac.uk/?req=%7BDD3152EB-8A93-4467-9AB7-6921BF64725D%7Dhttp://go.nln.ac.uk/?req=%7BDD3152EB-8A93-4467-9AB7-6921BF64725D%7Dhttp://go.nln.ac.uk/?req=%7BDD3152EB-8A93-4467-9AB7-6921BF64725D%7Dhttp://go.nln.ac.uk/?req=%7BDD3152EB-8A93-4467-9AB7-6921BF64725D%7Dhttp://go.nln.ac.uk/?req=%7BDD3152EB-8A93-4467-9AB7-6921BF64725D%7Dhttp://go.nln.ac.uk/?req=%7BE2F106E9-1DA7-4179-969B-0B640E8F64B7%7Dhttp://go.nln.ac.uk/?req=%7BE2F106E9-1DA7-4179-969B-0B640E8F64B7%7Dhttp://go.nln.ac.uk/?req=%7BE2F106E9-1DA7-4179-969B-0B640E8F64B7%7Dhttp://go.nln.ac.uk/?req=%7BA6431737-A251-454D-980C-422FE613C32F%7Dhttp://go.nln.ac.uk/?req=%7BA6431737-A251-454D-980C-422FE613C32F%7Dhttp://go.nln.ac.uk/?req=%7BA6431737-A251-454D-980C-422FE613C32F%7Dhttp://go.nln.ac.uk/?req=%7BC943EB2A-7A59-4F60-BF5C-0E46F76226FA%7Dhttp://go.nln.ac.uk/?req=%7BC943EB2A-7A59-4F60-BF5C-0E46F76226FA%7Dhttp://go.nln.ac.uk/?req=%7BC943EB2A-7A59-4F60-BF5C-0E46F76226FA%7Dhttp://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/loglog.pdfhttp://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/loglog.pdfhttp://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/loglog.pdfhttp://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/logs.pdfhttp://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/logs.pdfhttp://www.mathcentre.ac.uk/topics/integration/finding-areas-volumes/http://www.mathcentre.ac.uk/topics/integration/finding-areas-volumes/http://www.mathcentre.ac.uk/topics/integration/finding-areas-volumes/


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Volume of a Cylinder 52

Lengths and areas withcircles and triangles

3

Segment Area 50

Arc Length 49

use Pythagoras theorem and theangle sum of a triangle

Angles in Triangles 9 Pythagoras Theoremhttp://go.nln.ac.uk/?req=%7B19FC9565-D48C-4F38-B220-E65C871633F2%7D

Pythagoras Theorem 2

Use Pythagoras to find thehypotenuse

57

Use Pythagoras theorem tofind the length of a shorterside

58

use sines, cosines and tangents in

physical problems

Trigonometry ratios 1

Use Trigonometry to findangles

60

Use Trigonometry to findlengths

59

understand the relationship betweendegrees and radians.

http://www.mathcentre.ac.uk/resources/Engineering%20maths%20first%20aid%20kit/latexsource%20and%20diagrams/4_1.pdf
http://go.nln.ac.uk/?req=%7B19FC9565-D48C-4F38-B220-E65C871633F2%7Dhttp://go.nln.ac.uk/?req=%7B19FC9565-D48C-4F38-B220-E65C871633F2%7Dhttp://go.nln.ac.uk/?req=%7B19FC9565-D48C-4F38-B220-E65C871633F2%7Dhttp://go.nln.ac.uk/?req=%7B19FC9565-D48C-4F38-B220-E65C871633F2%7Dhttp://www.mathcentre.ac.uk/resources/Engineering%20maths%20first%20aid%20kit/latexsource%20and%20diagrams/4_1.pdfhttp://www.mathcentre.ac.uk/resources/Engineering%20maths%20first%20aid%20kit/latexsource%20and%20diagrams/4_1.pdfhttp://www.mathcentre.ac.uk/resources/Engineering%20maths%20first%20aid%20kit/latexsource%20and%20diagrams/4_1.pdfhttp://www.mathcentre.ac.uk/resources/Engineering%20maths%20first%20aid%20kit/latexsource%20and%20diagrams/4_1.pdfhttp://www.mathcentre.ac.uk/resources/Engineering%20maths%20first%20aid%20kit/latexsource%20and%20diagrams/4_1.pdfhttp://www.mathcentre.ac.uk/resources/Engineering%20maths%20first%20aid%20kit/latexsource%20and%20diagrams/4_1.pdfhttp://www.mathcentre.ac.uk/resources/Engineering%20maths%20first%20aid%20kit/latexsource%20and%20diagrams/4_1.pdfhttp://www.mathcentre.ac.uk/resources/Engineering%20maths%20first%20aid%20kit/latexsource%20and%20diagrams/4_1.pdfhttp://www.mathcentre.ac.uk/resources/Engineering%20maths%20first%20aid%20kit/latexsource%20and%20diagrams/4_1.pdfhttp://go.nln.ac.uk/?req=%7B19FC9565-D48C-4F38-B220-E65C871633F2%7Dhttp://go.nln.ac.uk/?req=%7B19FC9565-D48C-4F38-B220-E65C871633F2%7Dhttp://go.nln.ac.uk/?req=%7B19FC9565-D48C-4F38-B220-E65C871633F2%7D


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You may find the following additional skills useful:Topic Candidates should be able to: Mangahigh Challenges Challenge

No.Other resources

Measurement use a protractor to measure angles Measuring angles 40read simple scales Reading Scales 55

choose appropriate units andmeasuring equipment

Measuring 56

measure time Measure Time 65

use a micrometer to measure length http://feh.osu.edu/tutorials/micrometer/micindex.html

use vernier calipers to measure length http://www.phy.uct.ac.za/courses/c1lab/vernier1.html

use a voltmeter to measure voltage Electricity Exploration Toolhttp://go.nln.ac.uk/?req=%7BA6C06573-C5BB-4481-BCC8-

ADE8813CC0DB%7D

use an ammeter to measure current Electricity Exploration Toolhttp://go.nln.ac.uk/?req=%7BA6C06573-C5BB-4481-BCC8-

ADE8813CC0DB%7D

be able to read analogue and digitaldisplays.

http://en.wikipedia.org/wiki/Multim

eter

use an oscilloscope Chapter 1.3.8 in Course book and:http://www.virtual-

oscilloscope.com/simulation.html#

RepresentingData

Produce graphs to represent datafound in experiments

Line Graphs 62 Correlation and linear regressionhttp://www.nln.ac.uk/?p=LO&req=%7B95FAA852-09D9-4B56-880E-5AD8679F54AF%7DErrors

Scatter Diagrams 63

Correlation 64

Determine errors in data
http://feh.osu.edu/tutorials/micrometer/micindex.htmlhttp://feh.osu.edu/tutorials/micrometer/micindex.htmlhttp://feh.osu.edu/tutorials/micrometer/micindex.htmlhttp://www.phy.uct.ac.za/courses/c1lab/vernier1.htmlhttp://www.phy.uct.ac.za/courses/c1lab/vernier1.htmlhttp://www.phy.uct.ac.za/courses/c1lab/vernier1.htmlhttp://go.nln.ac.uk/?req=%7BA6C06573-C5BB-4481-BCC8-ADE8813CC0DB%7Dhttp://go.nln.ac.uk/?req=%7BA6C06573-C5BB-4481-BCC8-ADE8813CC0DB%7Dhttp://go.nln.ac.uk/?req=%7BA6C06573-C5BB-4481-BCC8-ADE8813CC0DB%7Dhttp://go.nln.ac.uk/?req=%7BA6C06573-C5BB-4481-BCC8-ADE8813CC0DB%7Dhttp://go.nln.ac.uk/?req=%7BA6C06573-C5BB-4481-BCC8-ADE8813CC0DB%7Dhttp://go.nln.ac.uk/?req=%7BA6C06573-C5BB-4481-BCC8-ADE8813CC0DB%7Dhttp://go.nln.ac.uk/?req=%7BA6C06573-C5BB-4481-BCC8-ADE8813CC0DB%7Dhttp://go.nln.ac.uk/?req=%7BA6C06573-C5BB-4481-BCC8-ADE8813CC0DB%7Dhttp://en.wikipedia.org/wiki/Multimeterhttp://en.wikipedia.org/wiki/Multimeterhttp://en.wikipedia.org/wiki/Multimeterhttp://www.virtual-oscilloscope.com/simulation.htmlhttp://www.virtual-oscilloscope.com/simulation.htmlhttp://www.nln.ac.uk/?p=LO&req=%7B95FAA852-09D9-4B56-880E-5AD8679F54AF%7Dhttp://www.nln.ac.uk/?p=LO&req=%7B95FAA852-09D9-4B56-880E-5AD8679F54AF%7Dhttp://www.nln.ac.uk/?p=LO&req=%7B95FAA852-09D9-4B56-880E-5AD8679F54AF%7Dhttp://www.nln.ac.uk/?p=LO&req=%7B95FAA852-09D9-4B56-880E-5AD8679F54AF%7Dhttp://www.nln.ac.uk/?p=LO&req=%7B95FAA852-09D9-4B56-880E-5AD8679F54AF%7Dhttp://www.nln.ac.uk/?p=LO&req=%7B95FAA852-09D9-4B56-880E-5AD8679F54AF%7Dhttp://www.nln.ac.uk/?p=LO&req=%7B95FAA852-09D9-4B56-880E-5AD8679F54AF%7Dhttp://www.virtual-oscilloscope.com/simulation.htmlhttp://www.virtual-oscilloscope.com/simulation.htmlhttp://en.wikipedia.org/wiki/Multimeterhttp://en.wikipedia.org/wiki/Multimeterhttp://go.nln.ac.uk/?req=%7BA6C06573-C5BB-4481-BCC8-ADE8813CC0DB%7Dhttp://go.nln.ac.uk/?req=%7BA6C06573-C5BB-4481-BCC8-ADE8813CC0DB%7Dhttp://go.nln.ac.uk/?req=%7BA6C06573-C5BB-4481-BCC8-ADE8813CC0DB%7Dhttp://go.nln.ac.uk/?req=%7BA6C06573-C5BB-4481-BCC8-ADE8813CC0DB%7Dhttp://go.nln.ac.uk/?req=%7BA6C06573-C5BB-4481-BCC8-ADE8813CC0DB%7Dhttp://go.nln.ac.uk/?req=%7BA6C06573-C5BB-4481-BCC8-ADE8813CC0DB%7Dhttp://www.phy.uct.ac.za/courses/c1lab/vernier1.htmlhttp://www.phy.uct.ac.za/courses/c1lab/vernier1.htmlhttp://feh.osu.edu/tutorials/micrometer/micindex.htmlhttp://feh.osu.edu/tutorials/micrometer/micindex.html


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http://go.nln.ac.uk/?req=%7B2D1BF4CE-36DE-4429-AFB7-F3A7B8B550AF%7D
http://go.nln.ac.uk/?req=%7B2D1BF4CE-36DE-4429-AFB7-F3A7B8B550AF%7Dhttp://go.nln.ac.uk/?req=%7B2D1BF4CE-36DE-4429-AFB7-F3A7B8B550AF%7Dhttp://go.nln.ac.uk/?req=%7B2D1BF4CE-36DE-4429-AFB7-F3A7B8B550AF%7Dhttp://go.nln.ac.uk/?req=%7B2D1BF4CE-36DE-4429-AFB7-F3A7B8B550AF%7Dhttp://go.nln.ac.uk/?req=%7B2D1BF4CE-36DE-4429-AFB7-F3A7B8B550AF%7Dhttp://go.nln.ac.uk/?req=%7B2D1BF4CE-36DE-4429-AFB7-F3A7B8B550AF%7Dhttp://go.nln.ac.uk/?req=%7B2D1BF4CE-36DE-4429-AFB7-F3A7B8B550AF%7D

Mathematical Requirements 1

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Transcript of Mathematical Requirements 1