Hl Maths List of Files

7/30/2019 Hl Maths List of Files

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Higher Level Files:

Page Number File Type File Name

iii pdf Prelim summary

iii pdf Chapter 1 summary






iv pdf Chapter 7 summary







iv pdf Chapter 14 summaryv pdf Chapter 15 summary

v pdf Chapter 16 summary





v pdf Answers summary

v pdf Index summary

4 video 1.1: Proof of irrationality

14 pdf Exercise 1.1 Worked Solutions


23 pdf Exercise 1.3 Worked Solutions25 pdf Exercise 1.4 Worked Solutions

26 Autograph Equivalence 1



30 Autograph Factors of Quadratics


39 Autograph Midpoint

39 Autograph Parallel Lines

39 Autograph Perpendicular Lines

39 Autograph Distance between Two Points as Radius of a Circle

40 Autograph Distance 1

40 Autograph Distance 2

42 Autograph Solving Equations

45 Quiz 1.1 Straight Lines Interactive


45 pdf 1.1 Straight Lines Answers

45 pdf 1.1 Straight Lines Quiz

45 pdf Chapter 1 Summary

45 pdf Chapter 1 Test

49 Autograph Vertical Line Test 1

49 Autograph Vertical Line Test 2

51 Autograph Domain and Range 1

52 Autograph Domain and Range 255 Autograph Range of a Cubic


57 Autograph Composite Functions 1


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60 Autograph Composite Functions 2


61 pdf 2.2 Example composite functions

66 Autograph Inverse 1




66 Autograph Inverse Functions

68 pdf 2.3 Example inverse functions


70 Autograph Transformations of Functions

74 Autograph Vertical Reflection 1

75 Autograph Horizontal Reflection 1

75 Autograph Horizontal Reflection 2

75 Autograph Vertical Reflection 2

82 Autograph Reciprocal Plotter

83 Autograph Modulus Plotter

85 pdf Exercise 2.4 Worked Solutions85 pdf Chapter 2 Summary

86 Autograph Translation

89 pdf Chapter 2 Practice Question Solutions

89 pdf 2.1 Functions Answers

89 pdf 2.1 Functions Quiz


89 video 1.6: Golden ration

97 pdf 3.1 Example synthetic substitution


100 Autograph Completing the Square

100 video 3.2: Completing the square

106 Autograph Quadratic Formula

108 Autograph Quadratic Factoring


116 Autograph Polynomial Zeros

125 Quiz 2.1/3.1 Functions and Quadratics Interactive


125 pdf 3.1 Polynomials and Quadratics Answers

125 pdf 3.1 Polynomials and Quadratics Quiz

127 Autograph Rational Function Asymptotes

127 Autograph Rational Functions

127 Autograph Geometric Sequence with Sum

131 pdf Exercise 3.4 Worked Solutions131 pdf 3.4 Rational Functions Answers

131 pdf 3.4 Rational Functions Quiz

133 pdf 3.5 Example equations with radicals

137 Autograph Modulus


144 pdf Inequalities Answers

144 pdf Inequalities Quiz



150 Autograph A Line Meeting a Parabola


150 pdf Chapter 3 Test154 pdf Exercise 4.1 Worked Solutions

156 pdf 4.2 Example arithmetic means


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156 pdf 4.2 Formula


160 excel 4.4: Paying off a mortgage

161 pdf 4.3 Example compound interest


167 Autograph Arithmetic Sequence with Sum

167 pdf 4.4 Example arithmetic series

167 pdf 4.4 Formula arithmetic series

168 pdf 4.4 Example geometric series partial sums

168 pdf 4.4 Formula geometric series partial sums

169 pdf 4.4 Formula infinite geometric series

170 pdf 4.4 Example infinite geometric series

174 Quiz 4.1 Sequences and Series Interactive


174 pdf 4.1 Sequences and Series Answers

174 pdf 4.1 Sequences and Series Quiz

175 pdf 4.5 Example with and without replacement

178 pdf 4.5 Example permutations179 pdf 4.5 Example combination vs permutations


184 pdf 4.6 Example Pascals triangle

187 pdf 4.6 Example binomial theorem


192 pdf 4.7 Example mathematical induction

192 video 4.7: Example 40

196 pdf 4.7 Example induction


200 pdf Binomial Theorem and Induction Answers

200 pdf Binomial Theorem and Induction Quiz


205 excel 4.9: Solution to question 47



216 pdf Exercise 5.1 and 5.2 Worked Solutions

218 Autograph Definition of e

221 Autograph Exponential Decay Model

221 Autograph Exponential Equation Solution

221 Autograph Exponential Growth Model

224 pdf Exercise 5.3 Worked Soutions

227 Autograph Exponential Logarithmic Function

227 Autograph Inverse Graphs234 pdf Exercise 5.4 Worked Soutions

243 pdf Exercise 5.5 Worked Soutions


245 Quiz 5.1 Exponential and Logarithmic Functions Interactive


245 pdf 5.1 Exponential and Logarithmic Functions Answers

245 pdf 5.1 Exponential and Logarithmic Functions Quiz




274 pdf 6.4 Example Gaussian elimination

276 pdf Exercise 6.4 WorkedSolutions276 pdf Chapter 6 Summary



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278 pdf 6.1 Matrices Answers

278 pdf 6.1 Matrices Quiz

281 Autograph Radian Degree Conversion

281 Autograph Radian Measure


290 Autograph Unit Circle Definitions

297 Autograph Unit Circle Symmetries 1

297 Autograph Unit Circle Symmetries 2


301 Autograph Cosine Curve

301 Autograph Sine Curve

308 Media 7.1 Equations of Graphs

308 Media 7.1 Equations of Graphs

308 Autograph Sine Modelling

309 video 7.3: horizontal translation identities

309 video 7.3: complementary angles

310 Autograph Tan Curve

313 pdf Exercise 7.3 Worked Solutions315 video 7.4: trigonometric equations

317 video 7.4: verifying trig equation cos

318 video 7.4: solving trigonometric equations


323 Autograph Pythagorean Identity

325 video 7.5: verifying trigonometric equation solution

330 Autograph Sine Double Angle Formula 1

330 Autograph Sine Double Angle Formula 2





349 pdf 7.1 Trigonometry Answers

349 pdf 7.1 Trigonometry Quiz




370 Autograph Sine Rule

370 Autograph Sine Rule

376 Autograph Cosine Rule 1

376 Autograph Cosine Rule 2

378 video 8.4: how to avoid losing precision on GDC

382 pdf Exercise 8.3 and 8.4 Worked Solutions382 pdf 8.4 Example Herons formula

383 Autograph Tangent and Gradient of Line

383 Autograph Tangent and Gradient the Same



396 Autograph Maximising Triangular Area

397 Quiz 8.1 Triangle Trigonometry Interactive


397 pdf 8.1 Triangle Trigonometry Answers

397 pdf 8.1 Triangle Trigonometry Quiz


400 Autograph Displacement Vectors400 Autograph Vector Equality

401 Autograph Position Vectors and Coordinates


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401 Autograph Vector Magnitude

403 Autograph Combining Vectors

406 Autograph Vector Sum

406 pdf 9.2 Example parallel vectors

409 pdf Exercise 9.1and 9.2 Worked Solutions

410 Autograph Unit Vectors

410 pdf 9.3 Example direction angle

411 pdf 9.3 Example unit vectors

413 pdf 9.3 Example inclined plane

415 Autograph Moving Ships

415 pdf 9.3 Example navigation

419 Autograph Scalar Product Definition


420 Autograph Scalar Product Zero

420 pdf 9.4 Formula scalar product

422 pdf 9.4 Example angle between vectors


425 pdf Chapter 9 Summary427 pdf Chapter 9 Practice Question Solutions

427 pdf 9.1 Vectors in Two Dimensions Answers

427 pdf 9.1 Vectors in Two Dimensions Quiz


436 pdf 10.1 Example complex numbers

438 pdf 10.1 Example zeros of polynomials


442 pdf 10.2 Example complex number operations

445 Autograph Complex Multiplication

447 pdf 10.2 Summary polar form

448 pdf 10.2 Example polar form


450 Autograph De Moivre's Theorem

451 pdf 10.3 Example complex powers

453 pdf 10.3 Example complex roots

455 Autograph Roots of Unity

457 pdf 10.3 Formula complex powers




462 pdf 10.1 Complex Numbers Answers

462 pdf 10.1 Complex Numbers Quiz

462 pdf Chapter 10 Test468 pdf 11.1 Example frequency distribution

470 video 11.1: histogram

470 video 11.1: cumulative frequency distribution demonstration

470 video 11.1: cumulative frequency

473 Autograph Histograms


482 pdf 11.2 Example central values


490 video 11.3: one variable statistics

491 pdf 11.3 Example box plot

492 Autograph Box and Whiskers 1

492 Autograph Box and Whiskers 2493 video 11.3: box plot graph for data

493 video 11.3: one variable statistics grouped


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494 video 11.3: ogive

497 Autograph Data Sampling 1

501 video 11.3: multiple graphs



515 Quiz 11.1 Statistics Interactive


515 pdf 11.1 Statistics Answers

515 pdf 11.1 Statistics Quiz


520 pdf 12.2 Example probability



531 pdf 12.3 Example probability 2



542 pdf 12.4 Example probability 2

545 pdf 12.4 Example probability 3552 pdf Exercise 12.4 Worked Solutions

555 excel 12.5: Bayes theorem calculator

558 pdf 12.5 Example Bayes theorem



570 Quiz 12.1 Probability


570 pdf 12.1 Probability Answers

570 pdf 12.1 Probability Quiz


573 video 13.1: limit of functions

573 video 13.1: limit of indeterminate form

574 Autograph Limit of sine(x) over x


581 Autograph Tangent and Velocity

583 Autograph Chords and Tangents

583 Autograph Derivative Definition: Different Limits

583 Autograph Derivative Definition the Standard case

583 Autograph Derivative Definition: Discontinuity

583 Autograph Derivative Definition: No Limit

585 video 13.2: numerical derivative

586 pdf 13.2 Example differentiation from first principles

588 Autograph Turning Points589 video 13.2: numerical derivative on graph screen

590 video 13.2: tangent to curve

590 video 13.2: tangent at turning point

591 video 13.2: verifying slope with nDeriv

592 Autograph Plotting a Gradient Function

592 Autograph Gradient Function Trace

592 video 13.2: using nDeriv to verify derivative


606 Autograph Function with First and Second Derivatives

609 Autograph Second Derivative

609 Autograph Points of Inflection: No Inflection

609 Autograph Points of Inflection: Inflections Not Found614 pdf Exercise 13.3 Worked Solutions

615 video 13.4: finding equations of tangents


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617 Autograph Tangent and Normal



625 Quiz 13.1 Differentiation


625 pdf 13.1 Differentiation Answers

625 pdf 13.1 Differentiation Quiz


630 pdf 14.1 Example vectors


640 pdf 14.2 Example direction cosines


645 Autograph Vector Product

646 pdf 14.3 Example vector product

647 video 14.3: Finding the area of a parallelogram


653 Autograph Equation of a Line

653 Autograph Parametric Lines in 3D654 Autograph Vector Equation of a Straight Line

658 pdf 14.4 Summary lines in 3D

663 Autograph Modelling Motion with Parametric Equations

670 Quiz 9.1/14 Vectors

670 Autograph Three Point Plane


672 Autograph Vector Equation of a Plane

677 pdf 14.5 Summary planes equations

685 Autograph Three Planes without a Unique Intersection

685 pdf 14.5 Example intersecting planes

686 Autograph A Sphere Cut by Planes


688 pdf Review Exercise Worked Solutions



699 pdf 14.1 Vectors in Three Dimensions Answers

699 pdf 14.1 Vectors in Three Dimensions Quiz


706 Autograph Chain Rule


716 pdf 15.1 Example higher derivatives

717 Autograph Derivative of cos kx

717 Autograph Derivative of sin kx718 video 15.2: exploring derivative tan

723 video 15.2 exploring derivative ex

724 excel 15.2: Exponential function

724 Autograph Exp x

729 Quiz 15.1/15.2 Differentiation II Interactive


729 pdf 15.1 Chain Product and Quotient Rules Answers

729 pdf 15.1 Chain Product and Quotient Rules Quiz

735 Autograph Derivative of ln x

735 video 15.3: exploring derivative of ln

736 Autograph Product Rule 1

737 Autograph Product Rule 2745 pdf Exercise 15.3 Worked Solutions



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752 pdf 15.3 Implicit Differentiation Answers

752 pdf 15.3 Implicit Differentiation Quiz

753 video 15.5: using minimum function

755 video 15.5: Example - finding minimum length

756 video 15.5: checking endpoints

757 video 15.5: mininum function vs derivative





773 pdf 16.1 Example integrals

775 pdf 16.1 Example integrals 2



784 pdf 16.2 Example integrals



787 pdf 16.2 Example two definite integrals792 pdf 16.3 Example integrals

794 Quiz 16.1 Integration


794 pdf 16.1 Integration Techniques Answers

794 pdf 16.1 Integration Techniques Quiz

795 Autograph Area Function

795 Autograph Sum of Rectangles


810 pdf 16.5 Example partial fractions

812 Autograph Area Under Sine Curve

812 Autograph Designer Curve Area Investigation

812 Autograph Integration of Constant m

812 Autograph Integrating Powers of x


812 video 16.6: areas

813 Autograph Integration of cos kx

813 Autograph Integration of exp(kx)

813 Autograph Integration of the Line mx

813 Autograph Integration of 1/x

813 Autograph Integrating Over Zeroes

813 video 16.6: areas 2

814 pdf 16.6 Example areas

815 Autograph Area Between Curves816 video 16.6: areas 3


820 pdf 16.7 Example volumes

821 Autograph Volume of Revolution Slices

822 Autograph Volume of Revolution 1

822 Autograph Volume of Revolution 2


828 pdf 16.8 Example motion


835 pdf Applications Answers

835 pdf Applications Quiz

845 pdf Exercise 16.9 Worked Solutions845 pdf Chapter 16 Summary



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862 pdf 17.1 Example random variables

864 video 17.1: Demonstration - variance and standard deviation

864 video 17.1: expected value

864 video 17.1: expected value 2


871 Autograph Binomial Distribution

871 video 17.2: Extra question - binomial distribution

872 pdf 17.2 Example binomial distribution

873 video 17.2: binomial distribution

874 video 17.2: binomial distribution 2





884 pdf 17.3 Example Poisson distribution

884 video 17.3: poisson distribution

885 Autograph Poisson Distribution885 video 17.3: poisson distribution 2


887 pdf 17.1 Discrete Distributions Answers

887 pdf 17.1 Discrete Distributions Quiz


896 pdf Example continuous distributions


902 video 17.5: normal distribution

904 Autograph Standard Normal Distribution

907 video 17.5: normal distribution 2


910 video 17.5: inverse normal




913 Autograph Parameters of the Normal Distribution


916 pdf Continuous Distributions Answers

916 pdf Continuous Distributions Quiz



921 Quiz 17 Probability Distributions Interactive


Hl Maths List of Files

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