Mathematics for Australia 12 Essential Mathematics
1 |
GEOMETRY |
9 |
|
A |
2-dimensional shapes |
11 |
|
B |
3-dimensional solids |
18 |
|
C |
Sketching solids |
23 |
|
D |
Views of solids |
27 |
|
E |
Nets of solids |
29 |
|
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Review set 1A |
32 |
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Review set 1B |
33 |
|
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|
2 |
LENGTH AND AREA |
35 |
|
A |
Metric length |
36 |
|
B |
Imperial length |
39 |
|
C |
Perimeter |
42 |
|
D |
Area |
46 |
|
E |
Area formulae |
48 |
|
F |
Areas of irregular shapes |
54 |
|
|
Review set 2A |
60 |
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Review set 2B |
61 |
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3 |
SCALE DIAGRAMS |
63 |
|
A |
Scale factor |
65 |
|
B |
Scale diagrams |
66 |
|
C |
Problems involving bearings |
73 |
|
|
Review set 3A |
76 |
|
|
Review set 3B |
77 |
|
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4 |
PYTHAGORAS’ THEOREM |
79 |
|
A |
Solving x² = k |
80 |
|
B |
Pythagoras’ theorem |
82 |
|
C |
The converse of Pythagoras’ theorem |
87 |
|
D |
Problem solving |
89 |
|
|
Review set 4A |
94 |
|
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Review set 4B |
95 |
|
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5 |
FURTHER MEASUREMENT |
97 |
|
A |
Surface area |
98 |
|
B |
Volume |
104 |
|
C |
Capacity |
110 |
|
D |
Mass |
113 |
|
E |
Density |
117 |
|
|
Review set 5A |
120 |
|
|
Review set 5B |
121 |
|
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6 |
RIGHT ANGLED TRIANGLE TRIGONOMETRY |
123 |
|
A |
Labelling right angled triangles |
124 |
|
B |
The trigonometric ratios |
125 |
|
C |
Finding sides and angles |
128 |
|
D |
Problem solving using trigonometry |
132 |
|
|
Review set 6A |
137 |
|
|
Review set 6B |
138 |
|
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|
|
7 |
NON-RIGHT ANGLED TRIANGLE TRIGONOMETRY |
139 |
|
A |
Trigonometric ratios of obtuse angles |
140 |
|
B |
The cosine rule |
142 |
|
C |
The sine rule |
145 |
|
D |
Problem solving |
148 |
|
|
Review set 7A |
150 |
|
|
Review set 7B |
151 |
|
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|
|
8 |
BUSINESS APPLICATIONS |
153 |
|
A |
Planning business premises |
154 |
|
B |
Costing calculations |
159 |
|
C |
Depreciation |
166 |
|
D |
Insurance |
171 |
|
E |
Cost of goods sold |
175 |
|
F |
Profit and loss statements |
176 |
|
G |
Break-even analysis |
180 |
|
H |
Business structures and taxation |
185 |
|
|
Review set 8A |
188 |
|
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Review set 8B |
190 |
|
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9 |
LINE GRAPHS |
193 |
|
A |
The Cartesian plane |
194 |
|
B |
Graphing linear relationships |
196 |
|
C |
Graphing lines from equations |
200 |
|
D |
Line graphs |
203 |
|
E |
The intersection of line graphs |
209 |
|
|
Review set 9A |
211 |
|
|
Review set 9B |
212 |
|
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|
10 |
PROBABILITY |
215 |
|
A |
Probability |
216 |
|
B |
Experimental probability |
218 |
|
C |
Sample space |
223 |
|
D |
Theoretical probability |
225 |
|
E |
Compound events |
229 |
|
F |
Tree diagrams |
234 |
|
G |
Simulations |
236 |
|
|
Review set 10A |
241 |
|
|
Review set 10B |
243 |
|
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|
11 |
STATISTICS |
245 |
|
A |
Sampling |
246 |
|
B |
Displaying data |
255 |
|
C |
Measuring the centre of data |
257 |
|
D |
Measuring the spread of data |
262 |
|
E |
Back-to-back stem plots |
268 |
|
F |
Parallel box plots |
271 |
|
|
Review set 11A |
275 |
|
|
Review set 11B |
278 |
|
|
|
|
12 |
LINEAR CORRELATION |
281 |
|
A |
Correlation |
282 |
|
B |
Measuring correlation |
286 |
|
C |
Line of best fit by eye |
294 |
|
D |
Least squares regression line |
298 |
|
|
Review set 12A |
302 |
|
|
Review set 12B |
304 |
|
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13 |
INVESTMENTS |
307 |
|
A |
Simple interest |
308 |
|
B |
Compound interest |
311 |
|
C |
Future value annuities |
320 |
|
D |
Tax and inflation |
326 |
|
E |
Superannuation |
331 |
|
|
Review set 13A |
335 |
|
|
Review set 13B |
336 |
|
|
|
|
14 |
LOANS |
339 |
|
A |
Reducing balance loans |
340 |
|
B |
Home loans |
344 |
|
C |
Strategies to minimise interest |
347 |
|
D |
Comparing loans |
354 |
|
|
Review set 14A |
357 |
|
|
Review set 14B |
358 |
|
|
|
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15 |
EARTH GEOMETRY AND TIME ZONES |
361 |
|
A |
Latitude and longitude |
362 |
|
B |
Distance on the Earth’s surface |
366 |
|
C |
Time zones |
370 |
|
|
Review set 15A |
375 |
|
|
Review set 15B |
376 |
|
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ANSWERS |
377 |
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