F1 contents
FM: indicates sections (up to level 6) that address functional mathematics
ISBN 978-0-521-68993-9 with answers; 978-0-521-69431-5 without answers
Book F1 contents Order from +44 (0)1223 325588
1 Reflection and rotation symmetry 10
6 Angles, triangles and quadrilaterals 42
A Reflection symmetry level 4
10
A Review: angles round a point, on a line, in a triangle
42
B Rotation symmetry
11
B Angles in an isosceles triangle
45
C Both types of symmetry
12
C Properties of special quadrilaterals
47
D Special triangles and quadrilaterals
13
7 Experiments 49
E Symmetrical and regular polygons
14
A Specifying the problem and planning
49 FM
F Using coordinates
16
B Processing and representing
50 FM
2 Fractions 18
C Interpreting and discussing
52 FM
A Fraction of a number
18
8 Multiples, factors and primes 53
B Equivalent fractions
18
A Multiples level 4
53
C Simplifying a fraction
19
B Factors level 4
54
D Mixed numbers
20
C Multiples and factors level 4
55
E Writing one number as a fraction of another
21
D Common multiples and factors
56
F Adding and subtracting fractions
22
E Prime numbers
58
G Multiplying a fraction by a whole number
23
F Products of prime factors
59
3 Reading scales 25
Review 1 61
A Whole numbers level 4
25
B Decimals level 4
26
9 Working with formulas 1 63
A Review: expressions
63
4 Arrow diagrams and equations 29
B Arranging tables and chairs
64
A Mathematical whispers level 4
29
C Designing pendants
67
B Using letters
31
C Solving equations
32
D Equations and arrow diagrams
70
D Number puzzles
34
10 Representing 3-D objects 73
5 Decimals 36
A The Soma cube
73
A One and two decimal places level 4
36
(idea of volume, drawing on triangular dotty paper)
B More than two decimal places
37
B Plan and elevations
74 FM
C Rounding to the nearest whole number
38
D Rounding to one decimal place
39
D Prisms
78
E Rounding to more than one decimal place
40
E Reflection symmetry
79
F Multiplying and dividing by powers of ten
41
11 Written calculation 1 82
17 Working with expressions 1 119
A Adding and subtracting whole numbers and
A Simplifying expressions such as 4 + 2
n – 3 +
n 119
decimals level 4
82
B Substituting into expressions such as 7 – 2
n 121
B Multiplying whole numbers level 4
83
C Simplifying expressions such as 4 + 2
n – 3 – 5
n 122
C Multiplying decimals
84
Review 2 124
D Dividing whole numbers level 4
85
E Dividing decimals
86
18 Graphs of changes over time 126
F Mixed questions
87
A Noise level
126 FM
12 Frequency
B Pulse rate
128 FM
C Temperature
129 FM
A Stem-and-leaf tables
89 FM
B Median and range
91 FM
19 Chance 132
C Comparisons
92 FM
A Probability as a fraction
132
D Grouping
94 FM
B Listing outcomes
134
E Mean
97 FM
C Using a grid
136
13 Fractions, decimals and percentages 100
20 Area of a triangle and of composite shapes
A Fractions and percentages
100
B Decimals and percentages
101
A Area of a triangle
140
C Fractions and decimals
102
B Area of composite shapes
142
D Thirds
102
21 Working with percentages 145
E Converting between fractions, decimals and
A Review: fractions, decimals and percentages
145
percentages
103
14 Area of a parallelogram 105
B Finding a percentage of an amount (mentally)
146
A Changing a parallelogram into a rectangle
105
C Finding a percentage of an amount (with a
calculator)
148
B Using the formula
106
D Expressing one number as a percentage of another
15 Negative numbers 109
A Temperature changes
109 FM
E Expressing one number as a percentage of another
B Adding negative numbers
(with a calculator)
150
C Subtracting a negative number
F Mixed questions
151 FM
D Multiplying a negative by a positive number
112
22 Representing data 153
16 Metric units 114
A Two-way tables
153 FM
A Using metric units
B Two-way tables with grouped data
155 FM
B Converting between metric units
C Pictograms and bar charts
156 FM
D Dual bar charts
158 FM
E Line graphs for time series
159 FM
F Index numbers
161 FM
23 Ratio and proportion 164
29 Navigation 212
A Recipes
164 FM
A Four-figure grid references and points of the
compass
212 FM
B Comparing prices
166 FM
B Scales and points of the compass
214 FM
(where one item is a multiple of the other)
C Review: angles level 4
216 FM
C Unitary method
167 FM
D Bearings
218 FM
D Unit cost
168 FM
30 Rounding with significant figures 221
E Mixtures and ratio
170 FM
A Rounding a whole number to one significant figure
F Writing a ratio in its simplest form
173 FM
24 Cuboids 175
B Rounding a decimal to one significant figure
222
A Volume of a cuboid
175
C Multiplying decimals
223
B Cubic metres
179 FM
D Rough estimates with decimals
225
C Surface area
180 FM
E Rounding answers
226
D Volume of a solid made from cuboids
181
31 Solving equations 228
Review 3 184
A Balance puzzles
228
B Seeing a balance puzzle as an equation
230
25 Scatter diagrams and correlation 186
C Solving an equation using balancing
231
A Scatter diagrams
186 FM
D Finding unknown lengths on strips
232
B Correlation
189 FM
E Undoing a subtraction in an equation
233
C Line of best fit
191
F Decimal, negative and fractional solutions
234
26 Square and cube numbers 195
G Problem solving
234
A Squares and square roots
195
32 Written calculation 2 236
B Cubes and cube roots
197
A Multiplying by a two-digit number
236
C Squares, cubes and higher powers
198
B Dividing by a two-digit number
237
27 Surveys 200
C Mixed questions
238 FM
A Starting a project
200
Review 4 240
B Designing a questionnaire
201
C Choosing a sample
203
33 Sequences 242
D Summarising results
204
A Continuing a sequence
242
E Writing a report
205
B Describing numbers in some sequences
244
C Sequences from patterns
245
28 Imperial measures 206
A Length
206 FM
34 Problem solving with a calculator 248
B Weight
208 FM
A Which calculation?
248 FM
C Liquid measure
209 FM
B Showing working
250 FM
D Mixed questions
210 FM
C Changing money to a different currency
251 FM
35 Working with expressions 2 253
40 Multiplying and dividing fractions 287
A Substituting into expressions such as 2
a –
b 253
A Finding a fraction of a quantity: fractional results 1
B Simplifying expressions such as 3
a + 2
b +
a + 5
b
B Finding a fraction of a quantity: fractional results 2
C Simplifying expressions such as 3
a + 2
b +
a – 5
b
C Dividing a unit fraction by a whole number
289
D Dividing a fraction by a whole number
290
36 Calculating with negative numbers 256
E Multiplying fractions
291
A Adding and subtracting
256
B Multiplying
257
41 Working with formulas 2 293
C Dividing
259
A Formulas and graphs
293 FM
D Negative square roots and cube roots
261
B Forming and using formulas
296 FM
E Mixed questions
262
C Forming and using expressions and formulas
37 Brackets 264
Review 5 302
A Dividing an expression by a number
264
B Expressions with brackets
265
42 Travel 304
C Factorising an expression
266
A Calculating speed
304 FM
D Factorising more complex expressions
267
B Distance–time graphs
306 FM
E Adding an expression containing brackets
268
C Calculating distance and time
309 FM
F Subtracting an expression containing brackets
268
43 Graphs from rules 312
38 Pie charts 270
A Patterns in coordinates
312
A Review: fractions, percentages and angles
270 FM
B Drawing a straight-line graph
313
B Reading a pie chart: simple fractions and
C Including negative coordinates
315
percentages
271 FM
D Equations of horizontal and vertical lines
316
C Reading a pie chart: the unitary method
272 FM
E Implicit equations
317
D Drawing a pie chart: angles
274 FM
E Drawing a pie chart: percentages
44 Working with coordinates 320
F Handling real data
A Shapes on a grid
320
B Mid-points
322
39 Working with expressions 3 280
C Reflection
323
A Substituting into linear expressions
280
D Rotation
324
B Squares and cubes
281
C Using more than one letter
45 Trial and improvement 328
D Area and simplifying
A Searching for whole numbers
328
B Searching for decimals
329
C Searching for approximate values
330
46 Constructions 332
A Drawing a triangle using lengths
332
B Drawing a triangle using angles
334
C Drawing a triangle using two sides and
an angle
335
D Scale drawings
336
Review 6 337
Answers 338
Index 397
Source: http://www.smpmaths.org.uk/F1%20contents.pdf
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