Standard Level Files

Standard Level Files:

Page Number File Type File Name iv pdf Chapter 1 summary iv pdf Chapter 2 summary iv pdf Chapter 3 summary iv pdf Chapter 4 summary iv pdf Chapter 5 summary iv pdf Chapter 6 summary v pdf Chapter 7 summary v pdf Chapter 8 summary v pdf Chapter 9 summary v pdf Chapter 10 summary v pdf Chapter 11 summary v pdf Chapter 12 summary v pdf Chapter 13 summary vi pdf Chapter 14 summary vi pdf Chapter 15 summary vi pdf Chapter 16 summary vi pdf Chapter 17 summary vi pdf Chapter 18 summary vi pdf Answers summary vi pdf Index summary 2 video 1.1: Proof of irrationality 6 pdf Exercise 1.1 Worked Solutions 9 pdf Exercise 1.2 Worked Solutions 12 pdf Exercise 1.3 Worked Solutions 14 Autograph Equivalence 1 14 pdf Exercise 1.4 Worked Solutions 15 Autograph Equivalence 2 16 video 1.5: Example - multiplying polynomials 17 video 1.5: Example - factorizing polynomials 18 Autograph Equivalence 3 20 Autograph Factors of Quadratics 21 pdf Exercise 1.5 Worked Solutions 25 Autograph Midpoint 25 Autograph Parallel Lines 25 Autograph Perpendicular Lines 25 Autograph Distance between Two Points as Radius of a Circle 25 video 1.6: perpendicular lines 26 Autograph Distance 1 26 Autograph Distance 2 27 video 1.6: intersecting graphs 28 Autograph Solving Equations 28 video 1.6: Example - elimination method 29 video 1.6: Example - substitution method 31 Quiz 1.1 Straight Lines Interactive 31 pdf Exercise 1.6 Worked Solutions 31 pdf 1.1 Straight Lines Answers 31 pdf 1.1 Straight Lines Quiz 31 pdf Chapter 1 Summary 31 pdf Chapter 1 Test 35 Autograph Domain and Range 1 35 Autograph Range of a Cubic 36 Autograph Domain and Range 2 41 Autograph Composite Functions 1 41 pdf Exercise 2.1 Worked Solutions 44 Autograph Composite Functions 2 44 video 2.2: function composition 45 pdf Exercise 2.2 Worked Solutions 45 pdf 2.2 Example composite functions 47 video 2.3: finding the inverse of a function 48 Autograph Inverse 1 48 Autograph Inverse 2 48 Autograph Inverse 3 48 Autograph Inverse 4 48 Autograph Inverse Functions 50 video 2.3: inverse function 51 pdf 2.3 Example - inverse functions 52 pdf Exercise 2.3 Worked Solutions 54 video 2.4: vertical translation 54 video 2.4: vertical and horizontal translation of function 55 video 2.4: horizontal translation 58 Autograph Vertical Reflection 1 58 Autograph Horizontal Reflection 1 58 Autograph Horizontal Reflection 2 58 video 2.4: reflection 58 video 2.4: reflecting a function 59 Autograph Vertical Reflection 2 59 video 2.4: vertical and horizontal dilations 60 video 2.4: non-rigid transformations 64 Autograph Transformations of Functions 65 pdf Exercise 2.4 Worked Solutions 65 pdf 2.1 Functions Answers 65 pdf 2.1 Functions Quiz 66 Autograph Completing the Square 68 video 2.5: rewrite in vertex form 70 Autograph Quadratic Formula 70 video 2.5: quadratic formula and discriminant 70 video 2.6: zeros of quadratics 71 video 2.6: verifying number of solutions 72 Autograph Quadratic Factoring 72 video 2.5: graphs of factored quadratic functions 74 Autograph Rational Function Asymptotes 74 Autograph Rational Functions 74 Autograph Geometric Sequence with Sum 74 pdf Exercise 2.5 Worked Solutions 74 pdf 2.4 Quadratic Functions Answers 74 pdf 2.4 Quadratic Functions Quiz 77 pdf Exercise 2.6 Worked Solutions 77 pdf Chapter 2 Summary 78 Autograph Translation 80 Quiz 2.1/2.4 Functions & Quadratics Interactive 80 pdf Chapter 2 Practice Question Solutions 80 pdf Chapter 2 Test 80 video 1.6: Golden ratio 82 video 3.1: sequences 83 pdf Exercise 3.1 Worked Solutions 84 pdf 3.2 Formula arithmetic sequence 85 pdf Exercise 3.2 Worked Solutions 85 pdf 3.2 Example arithmetic means 88 excel 4.4: Paying off a mortgage 89 video 3.3: graphical solution of exponential equation 89 video 3.3: compound interest 90 pdf Exercise 3.3 Worked Solutions 94 Autograph Arithmetic Sequence with Sum 94 pdf 3.4 Example arithmetic series 94 pdf 3.4 Formula arithmetic series 95 pdf 3.4 Example geometric series 95 pdf 3.4 Formula geometric series 97 pdf 3.4 Application infinite geometric series 97 pdf 3.4 Formula infinite geometric series 99 Quiz 3.1 Sequences and Series Interactive 99 pdf Exercise 3.4 Worked Solutions 99 pdf 3.1 Sequences and Series Answers 99 pdf 3.1 Sequences and Series Quiz 100 video 3.5: binomial theorem demonstration 102 pdf 3.5 Example Pascal's triangle 104 pdf 3.5 Example binomial theorem 106 pdf Exercise 3.5 Worked Solutions 106 pdf 3.5 Binomial Theorem Answers 106 pdf 3.5 Binomial Theorem Quiz 106 pdf Chapter 3 Summary 111 pdf Chapter 3 Test 111 pdf Chapter 3 Practice Question Solutions 115 video 4.1: exponential functions activity 121 pdf Exercise 4.1 and 4.2 Worked Solutions 122 video 4.2: compound interest 124 Autograph Exponential Equation Solution 124 Autograph Exponential Decay Model 124 Autograph Exponential Growth Model 125 pdf Exercise 4.3 Worked Solutions 128 Autograph Exponential Logarithmic Function 128 Autograph Inverse Graphs 134 pdf Exercise 4.4 Worked Solutions 141 pdf Exercise 4.5 Worked Solutions 141 pdf Chapter 4 Summary 143 Quiz 4.9 Exponential and Logarithmic Function Interactive 143 pdf Chapter 4 Practice Question Solutions 143 pdf 4.1 Exponential and Logarithmic Functions Answers 143 pdf 4.1 Exponential and Logarithmic Functions Quiz 143 pdf Chapter 4 Test 153 pdf Exercise 5.1 and 5.2 Worked Solutions 160 pdf Exercise 5.3 Worked Solutions 163 pdf Chapter 5 Practice Question Solutions 166 Autograph Radian Degree Conversion 166 Autograph Radian Measure 172 pdf Exercise 6.1 Worked Solutions 174 Autograph Unit Circle Definitions 179 Autograph Unit Circle Symmetries 1 179 Autograph Unit Circle Symmetries 2 180 pdf Exercise 6.2 Worked Solutions 181 Autograph Cosine Curve 181 Autograph Sine Curve 188 Autograph Sine Modelling 188 Media SL 6.3 Equations of Trigonometric Graphs 188 Media SL 6.3 Equations of Trigonometric Graphs 189 video 6.3: complementary angles 189 video 6.3: horizontal translation identities 190 Autograph Tan Curve 190 video 6.4: solving trigonometric equation sin 193 pdf Exercise 6.3 Worked Solutions 195 video 6.4: solving trigonometric equation tan 196 video 6.4: verifying trig equation cos 197 video 6.4: verifying double angle identity 203 video 6.4: verifying trigonometric equation solution 205 pdf Exercise 6.4 Worked Solutions 205 pdf Chapter 6 Summary 207 pdf Trigonometric Functions and Equations Quiz 207 pdf Trigonometric Functions and Equations Answers 207 pdf Chapter 6 Practice Question Solutions 207 pdf Chapter 6 Test 214 video 7.1: solving trigonometric equation sin 217 pdf Exercise 7.1 Worked Solutions 226 pdf Exercise 7.2 Worked Solutions 227 Autograph Sine Rule 227 Autograph Sine Rule 2 233 Autograph Cosine Rule 1 233 Autograph Cosine Rule 2 235 video 7.4: storing interAutographte results 238 pdf Exercise 7.3 and 7.4 Worked Solutions 239 Autograph Tangent and Gradient of Line 239 Autograph Tangent and Gradient the Same 250 pdf Exercise 7.5 Worked Solutions 250 pdf Chapter 7 Summary 253 Quiz 7.9 Triangle Trigonometry Interactive 253 pdf Chapter 7 Practice Question Solutions 253 pdf 7.1 Triangle Trigonometry Answers 253 pdf 7.9 Triangle Trigonometry Quiz 256 Autograph Displacement Vectors 256 Autograph Vector Equality 257 Autograph Position Vectors and Coordinates 257 Autograph Vector Magnitude 259 pdf 8.2 Example parallel vectors 261 Autograph Vector Sum 263 pdf Exercise 8.1 and 8.2 Worked Solutions 263 pdf Chapter 7 Test 264 Autograph Unit Vectors 265 pdf 8.3 Example direction angle 266 pdf 8.3 Example unit vectors 267 pdf 8.3 Example inclined plane 268 Autograph Moving Ships 268 pdf 8.3 Example navigation 270 Autograph Scalar Product Definition 270 pdf Exercise 8.3 Worked Solutions 271 Autograph Scalar Product Zero 271 pdf 8.4 Formula scalar product 272 pdf 8.4 Example angle between vectors 274 pdf Exercise 8.4 Worked Solutions 274 pdf Chapter 8 Summary 275 Autograph Combining Vectors 276 pdf Chapter 8 Practice Question Solutions 276 pdf 8.9 Vectors in Two Dimentions Answers 276 pdf 8.9 Vectors in Two Dimentions Quiz 276 pdf Chapter 8 Test 281 pdf 9.1 Example frequency distribution 283 video 9.1: histogram 284 video 9.1: cumulative frequency 284 video 9.1: cumulative frequency distribution demonstration 287 pdf Exercise 9.1 Worked Solutions 289 pdf 9.2 Example central values 295 video 9.3: one variable statistics 297 Autograph Box and Whiskers 1 297 Autograph Box and Whiskers 2 297 pdf 9.3 Example box plot 298 video 9.3: box plot graph for data 298 video 9.3: one variable statistics grouped 298 video 9.3: ogive 301 Autograph Data Sampling 1 305 video 9.3: multiple graphs 307 pdf Exercise 9.2 and 9.3 Worked Solutions 317 pdf Exercise 9.4A Worked Solutions 324 pdf Exercise 9.4B Worked Solutions 324 pdf Chapter 9 Summary 335 Quiz 9.9 Statistics Interactive 335 pdf Chapter 9 Practice Question Solutions 335 pdf 9.9 Statistics Answers 335 pdf 9.9 Statistics Quiz 335 pdf Chapter 9 Test 340 pdf 10.2 Example probability 342 pdf Exercise 10.1 and 10.2 Worked Solutions 345 pdf 10.3 Example probability 347 pdf 10.3 Example probability 2 349 pdf Exercise 10.3 Worked Solutions 352 pdf 10.4 Example probability 356 pdf 10.4 Example conditional probability 358 pdf 10.4 Example independence 360 pdf Exercise 10.4 Worked Solutions 360 pdf Chapter 10 Summary 367 Quiz 10.9 Probability Interactive 367 pdf Chapter 10 Practice Question Solutions 367 pdf Probability Answers 367 pdf Probability Quiz 367 pdf Chapter 10 Test 369 video 11.1: limit of a function 371 Autograph Limit of sine(x) over x 373 pdf Exercise 11.1 Worked Solutions 374 Autograph Tangent and Velocity 377 Autograph Chords and Tangents 378 video 11.2: numerical derivative 381 Autograph Turning Points 382 video 11.2: numerical derivative on graph screen 382 video 11.2: tangent to a curve 383 video 11.2: turning at tangent point 383 video 11.2: veryifying slope with nDeriv 384 video 11.2: using nDeriv to verify derivative 385 Autograph Plotting a Gradient Function 385 Autograph Gradient Function Trace 388 pdf Exercise 11.2 Worked Solutions 395 Autograph Function with First and Second Derivatives 399 Autograph Second Derivative 403 video 11.4: finding equations of tangents 403 pdf Exercise 11.3 Worked Solutions 406 Autograph Tangent and Normal 408 pdf Exercise 11.4 Worked Solutions 408 pdf Chapter 11 Summary 410 pdf Chapter 11 Practice Question Solutions 410 Quiz 11.9 Differentiation Interactive 410 pdf Differentiation Answers 410 pdf Differentiation Quiz 410 pdf Chapter 11 Test 416 pdf 12.1 Example vectors 418 pdf Exercise 12.1 Worked Solutions 423 pdf Exercise 12.2 Worked Solutions 428 pdf 12.3 Example lines in 3D 432 pdf Exercise 12.3 Worked Solutions 432 pdf Chapter 12 Summary 440 pdf Vectors Answers 440 pdf Vectors Quiz 440 Quiz 12.9 Vectors Interactive 440 pdf Chapter 12 Practice Question Solutions 440 pdf Chapter 12 Test 442 Autograph Derivative of cos kx 442 Autograph Derivative of sin kx 443 video 13.1: using nDeriv to verify derivative 445 video 13.1: exploring derivative of tan 446 video 13.1: exploring derivative of ex 447 Autograph Exp x 448 video 13.1: exploring derivative of ln 450 video 13.1: verifying tangent curves 452 pdf Exercise 13.1 Worked Solutions 459 pdf 13.1 Chain Rule Answers 459 pdf Exercise 13.2 Worked Solutions 459 pdf 13.1 Chain Rule Quiz 463 video 13.3: verifying minima 467 pdf Exercise 13.3 Worked Solutions 468 video 13.4: using minimum function 471 video 13.4: checking endpoints 472 video 13.4: minimum function vs derivative 475 pdf Exercise 13.4 Worked Solutions 479 pdf Exercise 13.5 Worked Solutions 479 pdf Chapter 13 Summary 483 pdf 13.3 Product and Quotient Rules Quiz 483 pdf 13.3 Product and Quotient Rules Answers 483 Quiz 13.1-13.3 Further Differentiation Interactive 483 pdf Chapter 13 Practice Question Solutions 483 pdf Chapter 13 Test 488 pdf 14.1 Example integrals 490 pdf 14.1 Example integrals 2 492 Autograph Area Function 492 Autograph Sum of Rectangles 492 pdf Exercise 14.1 Worked Solutions 492 pdf 14.1 Integration Answers 492 pdf 14.1 Integration Quiz 497 pdf 14.2 Example integrals 498 pdf 14.2 Example integrals 2 499 Autograph Area Under Sine Curve 499 Autograph Designer Curve Area Investigation 499 pdf Exercise 14.2 Worked Solutions 500 Autograph Integration of Constant m 500 Autograph Integrating Powers of x 500 Autograph Integration of cos kx 500 Autograph Integration of exp(kx) 500 Autograph Integration of the Line mx 500 Autograph Integration of 1/x 500 Autograph Integrating Over Zeroes 500 pdf 14.3 Example areas 500 pdf 14.3 Example integrals 500 video 14.3: areas 500 video 14.3: areas 2 502 Autograph Area Between Curves 504 video 14.3: areas 3 505 pdf Exercise 14.3 Worked Solutions 507 Autograph Volume of Revolution Slices 507 Autograph Volume of Revolution 1 507 Autograph Volume of Revolution 2 507 pdf 14.4 Example volumes 507 pdf Exercise 14.4 Worked Solutions 511 pdf 14.5 Example motions 514 pdf Areas Volumes Motion Quiz 514 pdf Areas Volumes Motion Answers 514 pdf Exercise 14.5 Worked Solutions 514 pdf Chapter 14 Summary 517 Quiz 14.1/14.2 Integration Interactive 517 pdf Chapter 14 Test 517 pdf Chapter 14 Practice Question Solutions 526 video 15.1: expected value 15.1: Demonstration - variance and standard 526 video deviation 527 video 15.1: expected value on Excel 530 pdf 15.1 Example random variables 534 Autograph Binomial Distribution 534 video 15.2: Extra question - binomial distribtution 534 pdf Exercise 15.1 Worked Solutions 536 video 15.2: binomial distribution 537 video 15.2: binomial distribution 2 537 video 15.2: binomial distribution 3 538 pdf 15.2 Example binomial distribution 538 video 15.2: binomial distribution 4 540 pdf 15.1 Discrete Distributions Answers 540 pdf 15.1 Discrete Distributions Quiz 540 pdf Exercise 15.2 Worked Solutions 542 video 15.3: normal distribution 545 Autograph Standard Normal Distribution 548 video 15.3 normal distribution 2 548 video 15.3 normal distribution 3 551 video 15.3 inverse normal 551 video 15.3 normal distribution 4 552 video 15.3 normal distribution 5 552 video 15.3 normal distribution 6 555 pdf Exercise 15.3 Worked Solutions 555 pdf Chapter 15 Summary 559 Quiz 15.1/15.3 Probability Distributions Interactive 559 pdf Chapter 15 Practice Question Solutions 559 pdf 15.3 Continuous Distributions Answers 559 pdf 15.3 Continuous Distributions Quiz 559 pdf Chapter 15 Test