This page contains scans of all 823 overhead transparencies that I created when I was a high school mathematics teacher in Melbourne, Australia, from 1997 to 2006.

The pages are numbered in the order that I created them, and so represent a mixture of topics from Year 8 to Year 12 level. I actually wrote each number on the bottom corner of each transparency, which let me figure out where to find each of them (stored in a number of pocket binders with plastic sleeves). I added letters (‘a’, ‘b’, etc.) when I found that I needed to cut a transparency into parts, so that I could use just a part of it (one subtopic) in a course different from the one that it was originally created for.

Hence, the only way to find any particular topic is to search for it on this page! Sorry. (When I was teaching, I would create a page for each module of work for each subject, which linked to these notes in the correct order.)

Anything in a title between square brackets was added at the time that I compiled this collection page, and represents text not in the title of the overhead transparency itself.

- 001
- Intercepts of graph
- 002a
- Intercepts of a linear grap
- 002b
- Drawing the [linear] graph from the intercept
- 003a
- Transformations of sine graphs
- 003b
- Transformation [of sine graphs] in the vertical direction
- 003c
- Horizontal compression [of sine graphs]
- 004
- Vertical expansion of sine graph
- 005
- Probability (Chance) [introduction]
- 006
- Parabolas: inversion [cup/hat intro]
- 007
- Stratified samples [construction of]
- 008
- Stratified samples [construction of], continued
- 009
- Empirical probabilities
- 010a
- Equally likely outcomes
- 010b
- Combinations of equally likely outcomes
- 011
- Tree diagrams to show possibilities
- 012
- Sampling with replacement
- 013
- Sampling without replacement
- 014a
- Conditional probability
- 014b
- Multiplication Rule [of probability]
- 015
- Independent events
- 016
- Stem-and-leaf plots [introduction]
- 017
- Having separate stems for 0-4 and 5-9
- 018
- Ordered stem-and-leaf plots
- 019
- Back-to-back stem-and-leaf plots
- 020
- Pie graphs [pie charts]
- 021
- Mean [introduction]
- 022
- Mode [introduction]
- 023
- Median [introduction]
- 024
- Quartiles [introduction]
- 025a
- Range
- 025b
- Interquartile range
- 026
- Order of operations
- 027
- Consecutive numbers
- 028
- Sum, product, difference, quotient
- 029
- Factors
- 030a
- Prime numbers
- 030b
- Composite numbers
- 031
- Types of data
- 032
- Recurring decimals
- 033a
- Index laws summary (Years 11, 12)
- 033b
- Index laws summary (Years 9, 10)
- 034a
- Scientific notation [standard form]
- 034b
- To convert a number to scientific notation
- 034c
- To convert scientific notation to a normal number
- 035
- Simultaneous equations [introduction]
- 036
- Simultaneous equations: substitution method 1
- 037
- Simultaneous equations: elimination method 1
- 038
- Simultaneous equations: elimination method 2
- 039
- Simultaneous literal equations
- 040
- Partial fractions
- 041
- Gradient of a [straight] line
- 042
- Gradient formula
- 043
- Drawing a straight line from the equation
- 044
- [Getting the] Straight-line equation from the graph
- 045a
- Equation from one point and gradient
- 045b
- Equation from two points
- 046
- Solving simultaneous equations graphically
- 047a
- Finding the angle of a slope
- 047b
- Perpendicular lines
- 048a
- Distance between two points
- 048b
- Formula for distance between two points
- 049
- Midpoint of a line
- 050
- Angle between intersecting lines
- 051
- Three simultaneous equations
- 052
- Negative numbers
- 052
- Integers
- 053
- The number line
- 054
- The number plane
- 055a
- Greater than
- 055b
- Less than
- 055c
- Greater than or equal to
- 055d
- Less than or equal to
- 056
- Plotting ranges of integers
- 057
- Adding integers
- 058
- Multiplying integers
- 059
- Leaving out the multiply sign
- 060a
- Subtracting integers
- 060b
- The negative of a number
- 061
- Dividing integers
- 062a
- Minor and major arcs
- 062b
- Angle subtended by an arc
- 063
- Angles standing on the same arc
- 064
- Angles on same arc at centre and circumference
- 065
- Angles in a semicircle
- 066
- Opposite angles in a cyclic quadrilateral
- 067a
- Radius bisecting a chord
- 067b
- Chords of equal length
- 068a
- Tangents to a circle
- 068b
- Angle between tangent and radius
- 068c
- Lengths of tangents from the same external point
- 069a
- Area of a sector
- 069b
- Area of a segment
- 070
- Breaking a number into its prime factors
- 071a
- A set
- 071b
- Equal sets
- 071c
- Equivalent sets
- 072a
- Null set
- 072b
- The universal set
- 072c
- Subsets
- 072d
- Disjoint sets
- 073a
- Union of two sets
- 073b
- Intersection of two sets
- 073c
- Complement
- 073d
- Finite and infinite sets
- 073e
- Number of elements
- 074
- Venn diagrams to illustrate sets
- 075a
- The set of natural numbers
- 075b
- The set of integers
- 076a
- The set of rational numbers
- 076b
- The set of real numbers
- 077a
- Quadratic surds
- 077b
- Surds of the n-th power
- 078a
- Simplest form of a surd
- 078b
- Rationalising the denominator
- 079
- The discriminant
- 080
- Solving inequations
- 081
- Solving quadratic inequations
- 082
- Simultaneous linear and quadratic equations
- 083
- Turning-point form for any quadratic relation
- 084
- Formulas for sketching any quadratic relation
- 085
- Parabola from intercepts and symmetry
- 086
- The quadratic equation formula
- 087
- Powers
- 088
- Exponential graphs
- 089
- Multiplying powers
- 090
- Dividing powers
- 091a
- Raising a power to a power
- 091b
- Raising a negative number to a power
- 092
- Powers and brackets
- 093
- Raising to the power of zero
- 094
- Negative powers
- 095
- Ratios
- 096
- Simplifying ratios
- 097
- Equivalent ratios
- 098
- Sharing ratios
- 099
- Value for money
- 100
- Scale diagrams
- 101
- Rates
- 102
- Units of speed
- 103
- Average speed
- 104
- Direct variation
- 105
- Inverse variation
- 106
- Fitting data
- 107
- Joint variation
- 108
- Part variation
- 109
- Venn diagrams to illustrate probability
- 110a
- Intersection and union
- 110b
- Compound event law
- 111a
- Mutually exclusive events
- 111b
- Complementary events
- 112
- Odds
- 113
- Winning streaks
- 114
- Polynomials
- 115
- Rational functions
- 116
- Finding quadratic relations from the graph 1
- 117
- Rectangular hyperbolae
- 118
- The truncus
- 119
- The equation of a circle
- 120
- Right-angled triangles
- 121
- Pythagoras’s theorem
- 122
- Finding a shorter side
- 123
- Pythagorean triples
- 124
- Converting odds to probability
- 124
- Even money
- 125
- Partial fractions: more complicated cases
- 126
- improper rational functions
- 127
- Partial fractions: more complicated examples I
- 128
- Partial fractions: more complicated examples II
- 129
- Equating coefficients: some examples
- 130
- Simultaneous parabola and line
- 131
- Simultaneous circle and line
- 132
- Simultaneous hyperbola and line
- 133
- Partial fractions: more complicated examples III
- 134
- Using SIMULT on the CAS
- 135
- Set difference
- 136
- Intervals of real numbers
- 137
- Special subsets of the real numbers
- 138a
- Relations
- 138b
- Domain and range
- 139a
- Relations defined by a rule
- 139b
- Implied domain
- 140
- Graphing relations
- 141
- Mapping diagrams
- 142
- Types of relations
- 143a
- Functions
- 143b
- Vertical line test
- 144
- Function notation
- 145
- Using mapping notation for functions
- 146
- The meaning of percentage
- 147
- Converting percentages to fractions
- 148
- Converting fractions to percentages
- 149
- Converting percentages to decimals
- 150
- Converting decimals to percentages
- 151
- Percentage of
- 152
- Making comparisons using percentages
- 153a
- Points percentage
- 153b
- Wins percentage
- 154a
- Mark-up
- 154b
- Discount
- 155
- Simple interest
- 156
- Percentage growth
- 157
- Gradient-intercept form of a linear equation
- 158a
- Acute angles
- 158b
- Obtuse angles
- 158c
- Reflex angles
- 158d
- Right angles
- 158e
- Straight angles
- 158f
- Revolution
- 159
- Linear programming
- 160a
- Measuring angles with a protractor
- 160b
- Naming angles
- 161a
- Complementary angles
- 161b
- Supplementary angles
- 162
- Bisecting an angle
- 163
- Bisecting a line
- 164
- Vertically opposite angles
- 165
- Parallel lines
- 166
- Corresponding angles
- 167
- Alternate angles
- 168
- Co-interior angles
- 169
- Congruent triangles
- 170
- Sum of angles in a triangle
- 171
- Quadrilaterals
- 172
- Sum of angles in quadrilaterals
- 173a
- Constant function
- 173b
- Linear function
- 174
- Horizontal line test
- 175
- Restrictions of a function
- 176
- Hybrid functions
- 177
- Inverse functions
- 178
- Inverse functions - examples
- 179
- Radians
- 180
- Converting from degrees to radians
- 181
- Converting from radians to degrees
- 182a
- Definitions of sine and cosine
- 182b
- Symmetry properties of sine and cosine
- 183a
- Definitions of tangent
- 183b
- Relation of tangent to sine and cosine
- 184
- Trigonometric ratios [SOH CAH TOA]
- 185
- Quadrants
- 186
- Symmetry properties of trig functions
- 187a
- Signs of trig functions
- 187b
- Negative angles
- 188
- Exact values of trig functions
- 189
- Sine and cosine graphs
- 190
- Dilation of sine and cosine graphs
- 191
- Reflection of sine and cosine graphs
- 192
- Translations of sine and cosine graphs
- 193
- Solving trig equations
- 194
- Solving multiple-angle trig equations
- 195
- General trig graph: an example
- 196
- Symmetry properties of trig functions
- 197
- Addition of ordinates
- 198
- Graph of the tan function
- 199
- Frequency tables
- 200
- Histograms
- 201
- Frequency polygons
- 202
- Box-and-whisker plots
- 203
- Surveys (census)
- 204
- Samples [data]
- 205
- Perimeter
- 206
- Circumference [circles]
- 207
- Arc length
- 208
- Perimeter of a composite figure
- 209
- Units of area
- 210
- Areas of quadrilaterals
- 211
- Areas of triangles
- 212
- Heron’s formula [triangles]
- 213
- Areas of circles
- 214
- Areas of sectors of circles
- 215
- Surface area of solids
- 216
- Volume of prisms
- 217
- Fractional powers
- 218a
- Multiplying surds
- 218b
- Dividing surds
- 219
- Adding and subtracting surds
- 220
- Cubic functions
- 221
- Simple cubic functions
- 222
- Points of inflection
- 223
- Remainder theorem
- 224
- Factor Theorem
- 225a
- Difference of perfect cubes
- 225b
- Sum of perfect cubes
- 226
- Solving cubic equations
- 227
- Graphing cubic functions
- 228
- Solving cubic inequations
- 229
- Finding a cubic equation from the graph
- 230
- Factorising functions numerically
- 231
- Sequences
- 232
- Sequences generated by polynomials
- 233
- Difference sequences
- 234
- Finite differences for polynomials
- 235
- Difference tables for general polynomials
- 236
- Finding the rule from a difference table
- 237
- Reciprocal trigonometric functions
- 238
- Reciprocal trig function identities
- 239
- Pythagorean trigonometric identity
- 240
- Addition formulae
- 241
- Double-angle formulae
- 242
- Examples of trigonometric proofs
- 243
- Simplifying a sin x + b cos x
- 244
- Lattice diagrams
- 245
- Expected number of events
- 246
- Sample space
- 247
- Events
- 248
- Complementary events
- 249
- The Addition Rule for probability
- 250
- Interior and exterior angles
- 251
- Constructing an angle of 60 degrees
- 252
- Constructing an angle of 120 degrees
- 253
- Constructing an angle of 90 degrees
- 254
- Copying an angle
- 255
- Sum of angles in polygons
- 256
- Nets of three-dimensional shapes
- 257
- Areas of composite shapes
- 258
- Surface area of a sphere
- 259
- Volumes of spheres
- 260
- Volumes of pyramids
- 261
- Commission
- 262
- Finding 100%
- 263
- Depreciation
- 264
- Appreciation
- 265
- Rates of change
- 266
- Constant rates
- 267
- Non-constant rates
- 268
- Tangent to a curve
- 269
- Finding the gradient at a point on a curve
- 270
- Rates of change of simple functions
- 271
- Rates of change using graphics calculators
- 272
- Displacement
- 273
- Velocity
- 274
- Acceleration
- 275
- Pronumerals or variables
- 276
- Factors
- 277
- Terms
- 278
- Expressions
- 279
- Equations
- 280
- Simplifying terms
- 281
- Labelling triangles
- 282
- The sine rule
- 283
- The cosine rule
- 284
- Trig rule for area of a triangle
- 285
- Arc length with radian angle
- 286
- Chord length
- 287
- Area of sector with radian angle
- 288
- Area of segment with radian angle
- 289a
- Angle of elevation
- 289b
- Angle of depression
- 290
- Compass bearings
- 291a
- Planes
- 291b
- Common line between two planes
- 292a
- Line of greatest slope
- 292b
- Angle between two planes
- 293
- Adding and subtracting terms
- 294
- Expanding brackets
- 295
- Expanding and simplifying
- 296
- Expanding binomial times binomial
- 297
- Difference of perfect squares
- 298
- Expanding perfect squares
- 299
- Simplifying algebraic fractions
- 300
- Factorising
- 301
- Substituting into rules
- 302
- Debits, credits and balance
- 303
- Compound interest formula
- 304
- Two-two grouping factorisation
- 305
- Factorising easy quadratics: cross method
- 306
- Exponential functions
- 307
- Solving simple exponential equations
- 308
- Definition of logarithm
- 309
- Logarithm laws
- 310
- Solving exponential equations using logarithms
- 311
- Logarithm graph
- 312
- Definition of a vector
- 313
- Vector notation
- 314
- Addition of vectors
- 315
- Multiplication of vector by a scalar
- 316a
- Zero vector
- 316b
- Negative of a vector
- 317
- Subtraction of vectors
- 318
- Polygons of vectors
- 319
- Parallel vectors
- 320
- Position vectors
- 321
- Linear combinations of non-parallel vectors
- 322
- Components of vectors
- 323
- Magnitude of a vector
- 324a
- Unit vectors
- 324b
- Unit vector in the direction of a given vector
- 325
- Vector equations
- 326
- Vectors in three dimensions
- 327
- Translations of parabolas
- 328a
- Dilations of parabolas
- 328b
- Inversion of a parabola
- 329
- Turning-point form of quadratic equation
- 330
- Factorising harder quadratics: cross method
- 331
- Square roots
- 332
- Cube roots
- 333
- Rational and irrational numbers
- 334
- Alternate segment theorem
- 335
- Limit
- 336
- Gradient at a point in the limit
- 337
- Derivative of an expression
- 338a
- Differentiation
- 338b
- Differentiation by first principles
- 339
- The derived function
- 340a
- Derivative of a constant multiple
- 340b
- Derivative of a sum
- 341
- Deltas and dy/dx
- 342
- Operator notation for derivative
- 343
- Estimating the derivative from the graph
- 344
- Differentiability
- 345
- Limit of a function
- 346a
- Limits from the left and right
- 346b
- Limit at infinity
- 347a
- Continuity
- 347b
- Continuity and differentiability
- 348
- Absolute value function
- 349
- Formal definition of limit
- 350
- Limit laws
- 350
- Null factor law
- 352
- Solving quadratic equations using the NFL
- 353
- Solving quadratic equations in turning-point form
- 354
- Finding r on a TI-83 calculator
- 355
- Finding a quadratic equation from a difference table
- 356a
- Solving an equation using inverse operations
- 356b
- Advanced inverse operations
- 357
- Examples of inverse operations
- 358
- Transposing formulae
- 359
- Differentiating positive powers of x
- 360
- Differentiating negative powers of x
- 361
- Differentiating integral powers of x
- 362
- The chain rule
- 363
- Examples of the chain rule
- 364
- Function of function notation
- 365
- Differentiating rational powers of x
- 366
- Obtaining dx/dy from dy/dx
- 367
- The second derivative
- 368a
- Sequences
- 368b
- Rule for a sequence
- 369
- Difference equations
- 370
- Arithmetic sequences
- 371
- Arithmetic mean
- 372
- Arithmetic series
- 373
- Geometric sequence
- 374
- Geometric mean
- 375
- Compound interest as a geometric sequence
- 376
- Geometric series
- 377
- Infinite geometric series
- 378
- Equation solving tricks 2a
- 379
- Diameter and radius
- 380
- Similar figures
- 381
- Similar triangles
- 382
- Naming sides in a right-angled triangle
- 383
- SOH CAH TOA
- 384
- Examples of SOH
- 385
- Examples of CAH
- 386
- Examples of TOA
- 387
- Inverse trigonometric functions
- 388
- Finding angles in right-angled triangles
- 388
- Degrees, minutes and seconds on a CAS
- 390
- Getting the five-figure summary from the ogive
- 391
- Periodic graphs
- 392
- Sine graphs
- 393
- Distance
- 394
- Average speed
- 395
- Using calculus in kinematics
- 396
- Formulae for constant acceleration
- 397
- Examples of constant acceleration formulae
- 398
- Using calculus for velocity-time graphs
- 399
- Discrete random variables
- 400
- Probability distribution function
- 401
- The hypergeometric distribution
- 402
- The binomial distribution
- 403
- Normal to a curve
- 404
- Finding the tangent using the derivative
- 405
- Examples of rates of change from derivative
- 406
- Stationary points
- 407
- Sketching graphs from the stationary points
- 408
- Types of stationary points
- 409
- Minimax problems using derivatives
- 410
- Sketching arbitrary non-polynomials
- 411
- Antidifferentiation
- 412
- Indefinite integrals
- 413
- Antiderivative of polynomials
- 414a
- Antidifferentiation of rational powers
- 414b
- Using a piece of data to fix c
- 415
- Area under a curve
- 416
- Definite integrals
- 417
- Definite integral laws
- 418
- Numerical integration
- 419
- Left endpoint integration
- 420
- Right endpoint integration
- 421
- Fundamental theorem of integral calculus
- 422
- Trapezoidal integration
- 423
- Integrals as the limits of sums
- 424
- Sum notation
- 425
- Addition counting rule
- 426
- Multiplication counting rule
- 427
- Permutations
- 428
- Factorials
- 429
- Permutation notation
- 430
- Combinations
- 431
- Combination notation
- 432
- Pascal’s Triangle
- 433
- Examples of permutations
- 434
- Examples of combinations
- 435
- Constructing graph scales
- 436
- Contour maps
- 437
- Leading digit estimation
- 438
- Naïve profit and loss
- 439
- Rounding
- 440
- Decimal places
- 441
- Significant figures
- 442
- Converting units
- 443
- Types of triangle
- 444
- Similar triangle tests
- 445
- Two-mean regression line
- 446a
- Density
- 446b
- Concentration
- 447a
- Forces
- 447b
- Equilibrium
- 448
- Normal force
- 449
- Triangle of forces
- 450
- Triangle of forces—examples I
- 451
- Triangle of forces—examples II
- 452
- Resolution of forces
- 453
- Equilibrium in terms of force components
- 454
- Resolution of forces—examples
- 455
- Cartesian coordinates
- 456
- Polar coordinates
- 457
- Polar coordinate notation
- 458
- Converting polar to Cartesian coordinates
- 459
- Converting Cartesian to polar coordinates
- 460
- Curve sketching in polar coordinates
- 461
- Rooting negative numbers
- 462a
- Complex numbers
- 462b
- Real part of a complex number
- 462c
- Imaginary part of a complex number
- 463
- Equality of two complex numbers
- 464
- Functions of complex numbers
- 465
- Adding and subtracting complex numbers
- 466
- Multiplying a complex number by a real
- 467
- Powers of i
- 468
- Multiplying complex numbers
- 469
- Multiplying complex numbers—examples
- 470
- Complex conjugate
- 471
- Sum of perfect squares
- 472
- Factorising arbitrary quadratic expressions
- 473
- Dividing complex numbers
- 474
- Dividing complex numbers—examples
- 475
- Argand diagrams
- 476
- Adding on the Argand plane
- 477
- Multiplying on the Argand plane
- 478
- Complex conjugate on the Argand plane
- 479a
- Amplitude of a complex number
- 479b
- Phase of a complex number
- 480
- Example factorisation over C
- 481
- Complex number in polar form
- 482
- Multiplying and dividing in polar form
- 483
- Euler’formula
- 484
- The Binomial Theorem
- 485
- The Binomial Theorem: Examples
- 486
- Sign diagrams
- 487
- The product rule
- 488
- The quotient rule
- 489a
- Integral of a sum of functions
- 489b
- Integral of a constant multiple of a function
- 490
- Integral of powers of linear functions
- 491a
- integral of 1/x
- 491b
- Integral of 1/(ax+b)
- 492
- Area between two curves
- 493
- Converting a recurring decimal to a fraction
- 494
- Differentiation of trig functions
- 495
- Integration of trig functions
- 496
- Equation of an ellipse
- 497
- Conic hyperbolae
- 498
- The exponential function
- 499
- Exponential and log inverses
- 500
- Determining exponential rules
- 501
- Determining logarithmic rules
- 502
- Change-of-direction transformation
- 503
- Change-of-direction transformation (cont.)
- 504
- Derivative of the exponential function
- 505
- Derivative of the logarithm function
- 506
- Integration of exponential functions
- 507
- Integration of 1/(ax+b)
- 508
- Linear approximation
- 509
- Odd and even functions
- 510a
- Matrix notation
- 510b
- Dimensions of a matrix
- 511
- Equal matrices
- 512
- Matrix elements
- 513a
- Adding matrices
- 513b
- Subtracting matrices
- 514
- Multiplying a matrix by a scalar
- 515
- Multiplying matrices
- 516
- Determinant of a 2 x 2 matrix
- 517
- Inverse of a 2 x 2 matrix
- 518
- Simultaneous equations using matrices
- 519
- Translations using matrices
- 520
- Dilations using matrices
- 521
- Rotations using matrices
- 522
- Reflections using matrices
- 523
- Composition of mappings
- 524
- Mean value of a distribution
- 525
- Variance of a distribution
- 526
- Standard deviation of a distribution
- 527
- Mean and variance of a linear function
- 528
- Statistics of the binomial distribution
- 529
- Statistics of the hypergeometric distribution
- 530
- Continuous random variables
- 531
- The normal distribution
- 532
- Standardised normal variable
- 533
- Evaluating normal probabilities
- 534
- Approximating the binomial with the normal
- 535
- Change-of-direction transformation III
- 536
- Cylindrical image transformation
- 537a
- State of a system
- 537b
- State vectors
- 538
- Probabilistic state vectors
- 539
- Markov processes
- 540
- Transition matrices
- 541
- Transition matrices (continued)
- 542
- Transition matrices examples 1
- 543
- Transition matrices examples 2
- 544
- Transition matrices examples 3
- 545
- Distribution of run lengths
- 546
- Distribution of run lengths—Bernoulli example
- 547
- Markov run length example
- 548
- Outliers for univariate data
- 549
- Modern box plots
- 550
- Creating random data on CAS
- 551
- Median of a continuous random variable
- 552
- Quartiles and percentiles of a random variable
- 553
- Mode of a random variable
- 554
- Expected profit for a random event
- 555
- Splitting stems—advanced
- 556
- Class intervals
- 557
- Bar charts
- 558
- Segmented bar charts
- 559
- Shapes of histograms and stem plots
- 560
- Symmetric and skewed distributions
- 561
- Outliers from a histogram
- 562
- Reading skew from a boxplot
- 563
- Statistics symbols
- 564
- Calculating the mean from frequencies
- 565
- Standard deviation
- 566
- The 68–95–99.7% rule
- 567
- Dependent and independent variables
- 568
- Ordered back-to-back stem plots
- 569
- Parallel box plots
- 570
- Two-way frequency tables
- 571
- Percentaged two-way tables
- 572
- Pearson’s r correlation coefficient
- 573
- Correlation and causation
- 574
- The coefficient of determination
- 575
- Numerical and categorical data
- 576
- Scatterplots
- 577
- Positive and negative relationships
- 578
- Strengths of relationships
- 579
- Quadratic stuff
- 580
- Substitution tricks
- 581
- Factorising using substitution tricks
- 582
- Cross method: more easy examples
- 583
- The quadratic factorisation formula
- 584
- Introduction to parabolas
- 585
- Equation solving tricks 1
- 586
- Equation solving tricks 2b
- 587
- Equation solving tricks 3a
- 588
- Equation solving tricks 3b
- 589
- Problem solving using linear equations
- 590
- Sums of algebraic fractions with repeated factors
- 591
- Simplifying products of algebraic fractions
- 592
- Simplifying quotients of algebraic fractions
- 593
- Finding quadratic relations from the graph 2
- 594
- Finding quadratic relations from the graph 3
- 595
- Finding quadratic relations from the graph 4
- 596
- Finding quadratic relations from the graph 5
- 597
- Quadratic regression
- 598
- Fitting a straight line by eye: equal-points
- 599
- Residual errors from a predicted line
- 600
- Fitting a straight line by eye: equal-errors
- 601
- Fitting a straight line: three-median method 1
- 602
- Fitting a straight line: three-median method 2
- 603
- Fitting a straight line: least-squares regression
- 604
- Interpreting a straight-line fit
- 605
- Interpolation and extrapolation
- 606
- Making a table of values from a rule
- 607
- Plotting a graph from a table of values
- 608
- Getting the gradient from the rule
- 609
- Calculating the y-intercept
- 610
- Calculating the x-intercept
- 611
- Travel graphs
- 612
- Reading speed off a travel graph
- 613
- Set notation for inequation solutions
- 614
- The equation of a semicircle
- 615
- Calculating residuals
- 616
- Analysing residuals
- 617
- Non-linear relationships
- 618
- Parabolic transformation
- 619
- Logarithmic transformation
- 620
- Reciprocal transformation
- 621
- Simultaneous equations: substitution method 2
- 622
- Simultaneous equations: substitution method 3
- 623
- Simultaneous equations: elimination method 3
- 624
- Time series
- 625
- Secular trends
- 626
- Seasonal trends
- 627
- Cyclic trends
- 628
- Random trends
- 629
- The two-mean trendline
- 630
- Moving averages
- 631
- 3-point moving averages
- 632
- 5-point moving averages
- 633
- Smoothing seasonal or cyclic data
- 634
- Even-point moving averages
- 635
- 2-point moving averages
- 636
- 4-point moving averages
- 637
- Centred even-point moving averages
- 638
- Centred 2-point moving averages
- 639
- Centred 4-point moving averages
- 640
- Median smoothing
- 641
- 3-point median smoothing
- 642
- 5-point median smoothing
- 643
- Seasonal adjustment
- 644
- De-seasonalising time series 1
- 645
- De-seasonalising time series 2
- 646
- De-seasonalising time series 3
- 647
- Graphing cubic functions with a calculator
- 648
- Sums of polynomials and proper rational functions
- 649
- Converting to an improper rational function
- 650
- Converting to a proper rational function 1
- 651
- Converting to a proper rational function 2
- 652
- Converting to a proper rational function 3
- 653
- Converting to a proper rational function 4
- 654
- Converting to a proper rational function 5
- 655
- Converting to a proper rational function 6
- 656
- Converting to a proper rational function 7
- 657
- Relative frequency
- 658
- Number of outcomes
- 659
- Introduction to tree diagrams
- 660
- Compound events as intersections
- 661
- Ratios as a percentage of the total
- 662
- Ratios in direct proportion
- 663
- Strength of a solution
- 664
- Diluting a solution
- 665
- Drug dosages depending on body mass
- 666
- Ratio of photographic reproduction
- 667
- Gear ratios
- 668
- Mechanical advantage
- 669
- Arithmetic sequences
- 670
- Checking if a sequence is arithmetic
- 671
- Finding d for an arithmetic sequence
- 672
- Finding the first term of an arithmetic sequence
- 673
- Finding the n-th term of an arithmetic sequence
- 674
- Finding the number of an arithmetic term
- 675
- Arithmetic series
- 676
- Arithmetic series from a, L and n
- 677
- Arithmetic series from a, L and d
- 678
- Arithmetic series from a, n and d
- 679
- Finite and infinite sequences
- 680
- Geometric sequences
- 681
- Checking if a sequence is geometric
- 682
- Finding r for a geometric sequence
- 683
- Finding the first term of a geometric sequence
- 684
- Finding the n-th term of a geometric sequence
- 685
- Finding the number of a geometric term
- 686
- Geometric series
- 687
- Geometric series from a, r and n
- 688
- Number of terms needed for a geometric series
- 689
- Growth as a geometric sequence
- 690
- Compound interest as a geometric sequence
- 691
- Infinite geometric series
- 692
- Recurring decimals as infinite geometric series
- 693
- Graphs of arithmetic sequences
- 694
- Graphs of geometric sequences
- 695
- Number of payment periods of compound interest
- 696
- Difference equations
- 697
- First-order difference equations
- 698
- Arithmetic sequence from a difference equation
- 699
- Geometric sequence from a difference equation
- 700
- Combination of arithmetic and geometric sequences
- 701
- Explicit solutions to difference equations
- 702
- Explicit solutions to arithmetic difference equations
- 703
- Explicit solutions to geometric difference equations
- 704
- Explicit solutions to combined difference equations
- 705
- Graphing difference equations
- 706
- Graphing difference equations on a calculator
- 707
- Interpreting difference equation graphs
- 708
- Finding d from Sn, n and a
- 709
- Finding L from Sn, n and a
- 710
- Degree, linears and quadratics
- 711
- Dividing a line segment in a given ratio
- 712
- Parallel lines
- 713
- Finding the first term of an infinite geometric series
- 714
- Finding r for an infinite geometric series
- 715
- Polygons and regular polygons
- 716
- Interior and exterior angles
- 717
- Angle formulas for regular polygons
- 718
- Perpendicular lines
- 719a
- Line segments
- 719b
- Rays
- 719c
- Lines
- 720
- Perpendicularly bisecting a line segment
- 721
- Triangle inside a semicircle
- 722
- Curved surface area of a cylinder
- 723
- Curved surface area of a cone
- 724
- Units of volume
- 725
- Scale factors for lengths, areas and volumes
- 726
- Pythagoras in three dimensions
- 727
- Magic formulas for the sine rule
- 728
- Ambiguous case of the sine rule
- 729
- Magic formulas for the cosine rule
- 730
- Equilateral triangles
- 731
- Right-angled isosceles triangles
- 732
- Degrees, minutes and seconds
- 733
- Working with angles on a TI-83
- 734
- Angles making up a right angle
- 735
- Angles making up a straight angle
- 736
- Standard compass bearings
- 737
- Line segment graphs
- 738
- Step graphs
- 739
- Break-even analysis
- 740
- Graphing a linear inequation
- 741
- Linear programming problems 1
- 742
- Linear programming problems 2

© 1997–2022 Dr. John P. Costella