Mathematics for the international student 8 IB MYP3 (Middle years)
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English
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Entries: 241
Pamela Vollmar
Michael Haese
core math
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Mathematics for the international student 8 IB MYP3 (Middle years)
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Entries
241
0. Graphics Calculator Instructions
Theory
Page 9
0.1 Basic Calculations
Theory
Page 10
0.2 Basic Functions
Theory
Page 12
0.3 Secondary Function and Alpha Keys
Theory
Page 15
0.4 Memory
Theory
Page 15
0.5 Lists
Theory
Page 18
0.6 Statistical Graphs
Theory
Page 20
0.7 Working with Functions
Theory
Page 21
0.8 Challenge Sets
Theory
Page 25
1. Number
Theory
Page 27
1.1 Natural Numbers
Theory
Page 28
1.2 Divisibility Tests
Theory
Page 30
1.3 Integers
Theory
Page 32
1.4 Order of Operations
Theory
Page 34
1.5 Fractions and Rational Numbers
Theory
Page 37
1.6 Decimal Numbers
Theory
Page 41
1.7 Pi
Theory
Page 46
1.8 Prime Numbers and Index Notation
Theory
Page 50
1.9 Review Set 1A
Theory
Page 53
1.10 Review Set 1B
Theory
Page 54
2. Algebraic Operations
Theory
Page 55
2.1 Algebraic Notation
Theory
Page 56
2.2 The Language of Mathematics
Theory
Page 59
2.3 Changing Words to Symbols
Theory
Page 60
2.4 Generalising Arithmetic
Theory
Page 63
2.5 Algebraic Substitution
Theory
Page 64
2.6 Collecting Like Terms
Theory
Page 67
2.7 Product and Quotient Simplification
Theory
Page 69
2.8 Review Set 2A
Theory
Page 71
2.9 Review Set 2B
Theory
Page 71
3. Percentage
Theory
Page 73
3.1 Percentage
Theory
Page 74
3.2 The Unitary Method in Percentage
Theory
Page 78
3.3 Finding a Percentage of a Quantity
Theory
Page 80
3.4 Percentage Increase and Decrease
Theory
Page 81
3.5 Percentage Change Using a Multiplier
Theory
Page 85
3.6 Finding the Original Amount
Theory
Page 89
3.7 Simple Interest
Theory
Page 90
3.8 Compound Interest
Theory
Page 93
3.9 Review Set 3A
Theory
Page 97
3.10 Review Set 3B
Theory
Page 98
4. Algebraic Expansion
Theory
Page 99
4.1 The Distributive Law
Theory
Page 100
4.2 The Expansion of $(a+b)(c+d)$
Theory
Page 105
4.3 The Expansion Rules
Theory
Page 106
4.4 Expansion of Radical Expressions
Theory
Page 112
4.5 Review Set 4A
Theory
Page 115
4.6 Review Set 4B
Theory
Page 116
5. Interpreting and Drawing Graphs
Theory
Page 117
5.1 Interpreting Graphs and Charts
Theory
Page 118
5.2 Travel Graphs
Theory
Page 123
5.3 Information from Line Graphs
Theory
Page 126
5.4 Using Technology to Graph Data
Theory
Page 127
5.5 Review Set 5A
Theory
Page 129
5.6 Review Set 5B
Theory
Page 131
6. Solving Equations
Theory
Page 133
6.1 The Solution of an Equation
Theory
Page 134
6.2 Maintaining Balance
Theory
Page 136
6.3 Isolating the Unknown
Theory
Page 137
6.4 Formal Solution of Linear Equations
Theory
Page 138
6.5 Equations with a Repeated Unknown
Theory
Page 141
6.6 Fractional Equations
Theory
Page 143
6.7 Unknown in the Denominator
Theory
Page 146
6.8 Review Set 6A
Theory
Page 148
6.9 Review Set 6B
Theory
Page 148
7. The Geometry of Polygons
Theory
Page 149
7.1 A Review of Geometrical Facts
Theory
Page 151
7.2 Triangles
Theory
Page 156
7.3 Isosceles Triangles
Theory
Page 159
7.4 Quadrilaterals and Other Polygons
Theory
Page 162
7.5 Deductive Geometry
Theory
Page 165
7.6 Special Quadrilaterals
Theory
Page 167
7.7 Review Set 7A
Theory
Page 170
7.8 Review Set 7B
Theory
Page 171
8. Indices
Theory
Page 173
8.1 Algebraic Products and Quotients in Index Notation
Theory
Page 174
8.2 Index Laws
Theory
Page 176
8.3 Expansion Laws
Theory
Page 178
8.4 Zero and Negative Indices
Theory
Page 180
8.5 Scientific Notation (Standard Form)
Theory
Page 183
8.6 Significant Figures
Theory
Page 186
8.7 Review Set 8A
Theory
Page 188
8.8 Review Set 8B
Theory
Page 188
9. Radicals and Pythagoras
Theory
Page 189
9.1 Square Roots
Theory
Page 191
9.2 Rules for Square Roots
Theory
Page 192
9.3 Solving Equations of the Form $x^2=k$
Theory
Page 194
9.4 The Theorem of Pythagoras
Theory
Page 196
9.5 The Converse of Pythagoras’ Theorem
Theory
Page 202
9.6 Pythagorean Triples
Theory
Page 203
9.7 Problem Solving Using Pythagoras
Theory
Page 205
9.8 Three Dimensional Problems (Extension)
Theory
Page 208
9.9 Cube Roots
Theory
Page 209
9.10 Review Set 9A
Theory
Page 211
9.11 Review Set 9B
Theory
Page 212
10. Length and Area
Theory
Page 213
10.1 Lengths and Perimeters
Theory
Page 214
10.2 Circumference of a Circle
Theory
Page 218
10.3 Area
Theory
Page 223
10.4 Areas of Circles and Ellipses
Theory
Page 228
10.5 Areas of Composite Figures
Theory
Page 230
10.6 Surface Area
Theory
Page 233
10.7 Problem Solving
Theory
Page 238
10.8 Review Set 10A
Theory
Page 240
10.9 Review Set 10B
Theory
Page 241
11. Algebra
Theory
Page 243
11.1 Converting into Algebraic Form
Theory
Page 244
11.2 Forming Equations
Theory
Page 246
11.3 Problem Solving Using Equations
Theory
Page 248
11.4 Finding an Unknown from a Formula
Theory
Page 251
11.5 Linear Inequations
Theory
Page 253
11.6 Solving Linear Inequations
Theory
Page 255
11.7 Review Set 11A
Theory
Page 259
11.8 Review Set 11B
Theory
Page 260
12. Volume and Capacity
Theory
Page 261
12.1 Units of Volume
Theory
Page 262
12.2 Volume Formulae
Theory
Page 263
12.3 Capacity
Theory
Page 268
12.4 Problem Solving
Theory
Page 271
12.5 Review Set 12A
Theory
Page 274
12.6 Review Set 12B
Theory
Page 275
13. Coordinate Geometry
Theory
Page 277
13.1 Plotting Points
Theory
Page 279
13.2 Linear Relationships
Theory
Page 281
13.3 Plotting Linear Graphs
Theory
Page 284
13.4 The Equation of a Line
Theory
Page 286
13.5 Gradient or Slope
Theory
Page 287
13.6 Graphing Lines from Equations
Theory
Page 291
13.7 Other Line Forms
Theory
Page 294
13.8 Finding Equations from Graphs
Theory
Page 298
13.9 Points on Lines
Theory
Page 299
13.10 Review Set 13A
Theory
Page 301
13.11 Review Set 13B
Theory
Page 302
14. Simultaneous Equations
Theory
Page 303
14.1 Trial and Error Solution
Theory
Page 304
14.2 Graphical Solution
Theory
Page 305
14.3 Solution by Substitution
Theory
Page 306
14.4 Solution by Elimination
Theory
Page 308
14.5 Problem Solving with Simultaneous Equations
Theory
Page 311
14.6 Review Set 14A
Theory
Page 314
14.7 Review Set 14B
Theory
Page 314
15. Estimating Probabilities
Theory
Page 315
15.1 Probability by Experiment
Theory
Page 317
15.2 Probabilities from Tabled Data
Theory
Page 319
15.3 Probabilities from Two Way Tables
Theory
Page 320
15.4 Chance Investigations
Theory
Page 322
15.5 Review Set 15A
Theory
Page 327
15.6 Review Set 15B
Theory
Page 327
16. Transformations, Similarity and Congruence
Theory
Page 329
16.1 Translations
Theory
Page 330
16.2 Reflections and Line Symmetry
Theory
Page 331
16.3 Rotations and Rotational Symmetry
Theory
Page 334
16.4 Enlargements and Reductions
Theory
Page 337
16.5 Similar Figures
Theory
Page 338
16.6 Similar Triangles
Theory
Page 340
16.7 Areas and Volumes of Similar Objects
Theory
Page 341
16.8 Congruence of Triangles
Theory
Page 346
16.9 Review Set 16A
Theory
Page 350
16.10 Review Set 16B
Theory
Page 351
17. Algebraic Factorisation
Theory
Page 353
17.1 Common Factors
Theory
Page 354
17.2 Factorising with Common Factors
Theory
Page 356
17.3 Difference of Two Squares Factorising
Theory
Page 359
17.4 Perfect Square Factorisation
Theory
Page 361
17.5 Factorising Quadratic Trinomials
Theory
Page 363
17.6 Miscellaneous Factorisation
Theory
Page 366
17.7 Review Set 17A
Theory
Page 367
17.8 Review Set 17B
Theory
Page 367
18. Comparing Categorical Data
Theory
Page 369
18.1 Categorical Data
Theory
Page 372
18.2 Examining Categorical Data
Theory
Page 376
18.3 Comparing and Reporting Categorical Data
Theory
Page 380
18.4 Data Collection
Theory
Page 382
18.5 Misleading Graphs
Theory
Page 384
18.6 Review Set 18A
Theory
Page 385
18.7 Review Set 18B
Theory
Page 387
19. Quadratic Equations
Theory
Page 389
19.1 The Null Factor Law
Theory
Page 390
19.2 Equations of the Form $ax^2+bx=0$
Theory
Page 391
19.3 Solving Equations Using the Difference of Squares
Theory
Page 392
19.4 Solving Equations of the Form $x^2+bx+c=0$
Theory
Page 393
19.5 Problem Solving with Quadratic Equations
Theory
Page 394
19.6 Simultaneous Equations Involving Quadratic Equations
Theory
Page 398
19.7 Review Set 19A
Theory
Page 399
19.8 Review Set 19B
Theory
Page 399
20. Quantitative Statistics
Theory
Page 401
20.1 Quantitative Data
Theory
Page 402
20.2 Grouped Discrete Data
Theory
Page 406
20.3 Measuring the Centre
Theory
Page 409
20.4 Comparing and Reporting Discrete Data
Theory
Page 415
20.5 Review Set 20A
Theory
Page 417
20.6 Review Set 20B
Theory
Page 419
21. Algebraic Fractions
Theory
Page 421
21.1 Evaluating Algebraic Fractions
Theory
Page 422
21.2 Simplifying Algebraic Fractions
Theory
Page 423
21.3 Multiplying and Dividing Algebraic Fractions
Theory
Page 425
21.4 Adding and Subtracting Algebraic Fractions
Theory
Page 427
21.5 Simplifying More Complicated Fractions
Theory
Page 430
21.6 Review Set 21A
Theory
Page 435
21.7 Review Set 21B
Theory
Page 436
22. Theoretical Probability
Theory
Page 437
22.1 Sample Space
Theory
Page 438
22.2 Theoretical Probability
Theory
Page 439
22.3 Using Grids to Find Probabilities
Theory
Page 442
22.4 Multiplying Probabilities
Theory
Page 444
22.5 Using Tree Diagrams
Theory
Page 445
22.6 Expectation
Theory
Page 448
22.7 Odds
Theory
Page 450
22.8 Review Set 22A
Theory
Page 451
22.9 Review Set 22B
Theory
Page 452
23. Trigonometry
Theory
Page 453
23.1 Using Scale Diagrams in Geometry
Theory
Page 454
23.2 Trigonometry
Theory
Page 455
23.3 The Trigonometric Ratios
Theory
Page 460
23.4 Problem Solving with Trigonometry
Theory
Page 464
23.5 Review Set 23A
Theory
Page 468
23.6 Review Set 23B
Theory
Page 469
24. Introduction to Networks
Theory
Page 471
24.1 Network Diagrams
Theory
Page 472
24.2 Constructing Networks
Theory
Page 474
24.3 Precedence Networks
Theory
Page 477
24.4 Counting Pathways
Theory
Page 480
24.5 Review Set 24A
Theory
Page 482
24.6 Review Set 24B
Theory
Page 483
25. Locus
Theory
Page 485
25.1 Everyday Applications of Loci
Theory
Page 486
25.2 Experiments in Locus
Theory
Page 488
25.3 Locus in Geometry
Theory
Page 491
25.4 Review Set 25
Theory
Page 493
26. Activities
Theory
Page 495
26.1 Triangular Numbers
Theory
Page 496
26.2 Word Maze
Theory
Page 496
26.3 Cops and Robbers
Theory
Page 497
26.4 Translations on a Chessboard
Theory
Page 497
26.5 Shortest Distance
Theory
Page 498
26.6 Engaged Couples
Theory
Page 499
26.7 Number Chains
Theory
Page 500
26.8 Paper
Theory
Page 501
26.9 Jockeying for Truth
Theory
Page 502
27. Answers
Theory
Page 503
28. Index
Theory
Page 543
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