## New Maths in Action S1/3 Pupil's BookThis text has been developed to provide an easy-to-use course completely in line with the Mathematics 5-14 national Guidelines in Scotland. The book contains features designed to allow more effective teaching in the classroom. All material and exercises throughout the books in this series are clearly identified with a 5-14 level indicator while identical chapter titles and introductions enable mixed ability and streamed teaching. |

### Contents

Whole numbers 1 Looking back | 1 |

Mental calculations | 2 |

Whole number calculations | 4 |

Squares cubes and square roots | 6 |

Factors and prime factors | 9 |

below zero | 11 |

8 | 12 |

Sum difference product and quotient | 16 |

65 | 180 |

The areas of other quadrilaterals | 181 |

circumference and diameter | 183 |

The area of a circle | 184 |

Checkup | 187 |

Letters numbers and sequences | 188 |

The shape of numbers | 189 |

The nth terms from multiples | 191 |

More mental calculations | 17 |

Checkup | 18 |

2 3 4 5 Subtracting integers Multiplying integers Dividing integers Looking back | 20 |

Adding and subtracting without a calculator | 21 |

Adding and subtracting on the calculator | 24 |

Rounding to 1 decimal place | 26 |

Multiplying and dividing by 10 100 and 1000 | 27 |

Multiplying and dividing a decimal by a whole number | 28 |

Multiplying and dividing on the calculator | 31 |

being more precise 9 | 32 |

Rounding to more than 1 decimal place | 35 |

Further multiplication and division | 36 |

Significant figures | 39 |

Scientific notation | 41 |

Checkup | 42 |

Looking back | 44 |

Angles associated with parallel lines | 47 |

Corresponding angles 3 | 51 |

Alternate angles | 52 |

5 | 53 |

Mixed examples | 54 |

The sum of the angles of a polygon | 56 |

Checkup | 57 |

Letters and numbers Looking back | 59 |

A variety of expressions | 60 |

Like terms 1 2 3 4 | 61 |

Ordering the operations | 62 |

Repeated adding and multiplying | 65 |

Evaluating squares | 67 |

7 | 68 |

Removing brackets 8 | 69 |

Factorising expressions | 71 |

4 6 | 72 |

Information handling 1 | 73 |

11 | 74 |

13 | 77 |

16 | 79 |

40 | 85 |

42 | 86 |

47 | 87 |

Time and temperature | 89 |

51 | 93 |

59 | 94 |

60 | 95 |

Position and movement | 108 |

Solving equations | 127 |

61 | 134 |

Measuring length | 142 |

Tiling and symmetry | 157 |

Rotation and rotational symmetry | 160 |

Translation and translational symmetry | 164 |

Enlargement and reduction | 168 |

Checkup | 171 |

Area | 173 |

62 | 175 |

Using formulae | 176 |

Rightangled triangles | 178 |

Any triangle | 179 |

Rulemaking | 194 |

Problem solving | 197 |

Formulae and graphs | 200 |

Checkup | 202 |

The triangle | 204 |

The sum of the angles of a triangle | 206 |

Drawing triangles | 209 |

67 | 210 |

Measuring heights and distances | 212 |

Drawing more triangles | 214 |

The exterior angles of a triangle | 216 |

Checkup | 218 |

14 Ratio and proportion | 219 |

Ratios | 220 |

Unitary ratios | 222 |

Sharing | 224 |

Direct proportion | 225 |

Graphing direct proportion | 227 |

Inverse proportion | 228 |

Mixed examples | 229 |

Checkup | 231 |

Fractions and percentages | 232 |

Finding a fraction of an amount | 233 |

Calculating a percentage of an amount | 235 |

Using percentages | 237 |

Rational numbers | 240 |

Equivalent fractions and mixed numbers | 242 |

Adding and subtracting common fractions | 244 |

71 | 245 |

Multiplying fractions | 247 |

Division | 248 |

Checkup | 250 |

16 Twodimensional shapes | 251 |

The square and rectangle | 252 |

The rhombus and kite | 255 |

The parallelogram and trapezium | 258 |

Classifying quadrilaterals | 260 |

Drawing polygons | 263 |

Checkup | 264 |

17 Three dimensions | 266 |

Pyramids and prisms | 268 |

Drawing solids | 270 |

Skeleton models | 271 |

Nets of pyramids and prisms | 272 |

Surface area | 274 |

Volumes of cubes and cuboids | 277 |

Volumes of prisms | 280 |

Checkup | 281 |

Information handling 2 | 283 |

formulae | 285 |

line graphs | 287 |

pie charts | 288 |

stem and leaf | 292 |

294 | |

Probability | 297 |

Checkup | 299 |

### Common terms and phrases

angles answer average speed base bearing Calculate Calculate the area called centimetres centre circle cm² coins common coordinates Copy and complete cost covered decimal diagonals diagram difference distance divided Draw equal equation Estimate Example Exercise Exercise 2.1 Express factor Find formula four fraction frequency Give given graph half height journey kilometres kite km/h length litres Looking marks mean measured metres miles minutes multiply Name pair pence percentage perimeter Plot points position prism pupils question ratio recorded rectangle represents rhombus rotation round scale seconds sequence shape share shown shows sides Solve square Step symmetry third tiles triangle units vertices volume whole Write

### Popular passages

Page 294 - Brix measurement Less than 16°. 16° or more but less than 20°. 20° or more but less than 25°. 25° or more but not more than 35°. Less than 18°. 18° or more but less than 22°.