Additional Information
Book Details
Abstract
Exam Board: Edexcel
Level: GCSE
Subject: Science
First teaching: September 2015
First exams: June 2017
- Help students reach a higher level in each topic before they move onto the next topic with content broken down into larger chunks.
- Check and consolidate understanding with formative assessment followed by an opportunity to strengthen learning at the end of each topic
- Challenge the higher abilities to broaden learning further with extend sections.
- Build confidence with fluency, reasoning and problem solving integrated in every unit to give students the tools to answer new question types.
- Support lower ability students with strategies proven to help them access concepts, such as concrete- pictorial-abstract.
- Encourage students to reflect on their learning, something that has been proven to nurture confidence and raise achievement in all abilities.
Table of Contents
| Section Title | Page | Action | Price |
|---|---|---|---|
| Cover | Cover | ||
| Contents | iii | ||
| Welcome to Edexcel GCSE (9-1) Mathematics Foundation Student Book | vi | ||
| Unit 1: Number | 1 | ||
| Prior knowledge check | 1 | ||
| 1.1: Calculations | 3 | ||
| 1.2: Decimal numbers | 5 | ||
| 1.3: Place value | 8 | ||
| 1.4: Factors and multiples | 10 | ||
| 1.5: Squares, cubes and roots | 12 | ||
| 1.6: Index notation | 15 | ||
| 1.7: Prime factors | 18 | ||
| Problem-solving | 20 | ||
| Check up | 21 | ||
| Strengthen | 23 | ||
| Extend | 26 | ||
| Knowledge check | 28 | ||
| Unit test | 30 | ||
| Unit 2: Algebra | 32 | ||
| Prior knowledge check | 32 | ||
| 2.1: Algebraic expressions | 32 | ||
| 2.2: Simplifying expressions | 35 | ||
| 2.3: Substitution | 37 | ||
| 2.4: Formulae | 39 | ||
| 2.5: Expanding brackets | 41 | ||
| 2.6: Factorising | 43 | ||
| 2.7: Using expressions and formulae | 45 | ||
| Problem-solving | 47 | ||
| Check up | 49 | ||
| Strengthen | 50 | ||
| Extend | 53 | ||
| Knowledge check | 55 | ||
| Unit test | 56 | ||
| Unit 3: Graphs, tables and charts | 58 | ||
| Prior knowledge check | 58 | ||
| 3.1: Frequency tables | 60 | ||
| 3.2: Two-way tables | 62 | ||
| 3.3: Representing data | 65 | ||
| 3.4: Time series | 67 | ||
| 3.5: Stem and leaf diagrams | 69 | ||
| 3.6: Pie charts | 71 | ||
| 3.7: Scatter graphs | 74 | ||
| 3.8: Line of best fit | 76 | ||
| Problem-solving: Worldwide data | 79 | ||
| Check up | 80 | ||
| Strengthen | 82 | ||
| Extend | 85 | ||
| Knowledge check | 87 | ||
| Unit test | 88 | ||
| Unit 4: Fractions and percentages | 92 | ||
| Prior knowledge check | 92 | ||
| 4.1: Working with fractions | 93 | ||
| 4.2: Operations with fractions | 96 | ||
| 4.3: Multiplying fractions | 98 | ||
| 4.4: Dividing fractions | 100 | ||
| 4.5: Fractions and decimals | 102 | ||
| 4.6: Fractions and percentages | 104 | ||
| 4.7: Calculating percentages 1 | 106 | ||
| 4.8: Calculating percentages 2 | 108 | ||
| Problem-solving | 111 | ||
| Check up | 112 | ||
| Strengthen | 113 | ||
| Extend | 116 | ||
| Knowledge check | 118 | ||
| Unit test | 119 | ||
| Unit 5: Equations, inequalities and sequences | 121 | ||
| Prior knowledge check | 121 | ||
| 5.1: Solving equations 1 | 122 | ||
| 5.2: Solving equations 2 | 125 | ||
| 5.3: Solving equations with brackets | 127 | ||
| 5.4: Introducing inequalities | 129 | ||
| 5.5: More inequalities | 131 | ||
| 5.6: Using formulae | 133 | ||
| 5.7: Generating sequences | 135 | ||
| 5.8: Using the nth term of a sequence | 136 | ||
| Problem-solving: Paediatric medicine | 139 | ||
| Check up | 140 | ||
| Strengthen | 141 | ||
| Extend | 145 | ||
| Knowledge check | 147 | ||
| Unit test | 147 | ||
| Unit 6: Angles | 149 | ||
| Prior knowledge check | 149 | ||
| 6.1: Properties of shapes | 151 | ||
| 6.2: Angles in parallel lines | 154 | ||
| 6.3: Angles in triangles | 157 | ||
| 6.4: Exterior and interior angles | 160 | ||
| 6.5: More exterior and interior angles | 163 | ||
| 6.6: Geometrical problems | 166 | ||
| Problem-solving | 169 | ||
| Check up | 170 | ||
| Strengthen | 172 | ||
| Extend | 175 | ||
| Knowledge check | 178 | ||
| Unit test | 179 | ||
| Unit 7: Averages and range | 181 | ||
| Prior knowledge check | 181 | ||
| 7.1: Mean and range | 182 | ||
| 7.2: Mode, median and range | 185 | ||
| 7.3: Types of average | 188 | ||
| 7.4: Estimating the mean | 192 | ||
| 7.5: Sampling | 194 | ||
| Problem-solving: Watching statistics | 197 | ||
| Check up | 198 | ||
| Strengthen | 199 | ||
| Extend | 203 | ||
| Knowledge check | 205 | ||
| Unit test | 206 | ||
| Unit 8: Perimeter, area and volume 1 | 209 | ||
| Prior knowledge check | 209 | ||
| 8.1: Rectangles, parallelograms and triangles | 211 | ||
| 8.2: Trapezia and changing units | 214 | ||
| 8.3: Area of compound shapes | 217 | ||
| 8.4: Surface area of 3D solids | 220 | ||
| 8.5: Volume of prisms | 222 | ||
| 8.6: More volume and surface area | 225 | ||
| Problem-solving | 228 | ||
| Check up | 229 | ||
| Strengthen | 231 | ||
| Extend | 235 | ||
| Knowledge check | 239 | ||
| Unit test | 240 | ||
| Unit 9: Graphs | 243 | ||
| Prior knowledge check | 243 | ||
| 9.1: Coordinates | 244 | ||
| 9.2: Linear graphs | 247 | ||
| 9.3: Gradient | 250 | ||
| 9.4: y = mx+c | 252 | ||
| 9.5: Real-life graphs | 254 | ||
| 9.6: Distance–time graphs | 258 | ||
| 9.7: More real-life graphs | 262 | ||
| Problem-solving: Dinosaur trackways | 265 | ||
| Check up | 266 | ||
| Strengthen | 267 | ||
| Extend | 271 | ||
| Knowledge check | 274 | ||
| Unit test | 275 | ||
| Unit 10: Transformations | 277 | ||
| Prior knowledge check | 277 | ||
| 10.1: Translation | 278 | ||
| 10.2: Reflection | 282 | ||
| 10.3: Rotation | 285 | ||
| 10.4: Enlargement | 288 | ||
| 10.5: Describing enlargements | 291 | ||
| 10.6: Combining transformations | 293 | ||
| Problem-solving: Exploding shapes | 296 | ||
| Check up | 297 | ||
| Strengthen | 299 | ||
| Extend | 304 | ||
| Knowledge check | 308 | ||
| Unit test | 309 | ||
| Unit 11: Ratio and proportion | 313 | ||
| Prior knowledge check | 313 | ||
| 11.1: Writing ratios | 314 | ||
| 11.2: Using ratios 1 | 316 | ||
| 11.3: Ratios and measures | 318 | ||
| 11.4: Using ratios 2 | 321 | ||
| 11.5: Comparing using ratios | 323 | ||
| 11.6: Using proportion | 326 | ||
| 11.7: Proportion and graphs | 328 | ||
| 11.8: Proportion problems | 330 | ||
| Problem-solving | 332 | ||
| Check up | 333 | ||
| Strengthen | 335 | ||
| Extend | 338 | ||
| Knowledge check | 340 | ||
| Unit test | 341 | ||
| Unit 12: Right-angled triangles | 344 | ||
| Prior knowledge check | 344 | ||
| 12.1: Pythagoras’ theorem 1 | 345 | ||
| 12.2: Pythagoras’ theorem 2 | 348 | ||
| 12.3: Trigonometry: the sine ratio 1 | 351 | ||
| 12.4: Trigonometry: the sine ratio 2 | 354 | ||
| 12.5: Trigonometry: the cosine ratio | 357 | ||
| 12.6: Trigonometry: the tangent ratio | 360 | ||
| 12.7: Finding lengths and angles using trigonometry | 364 | ||
| Problem-solving | 367 | ||
| Check up | 368 | ||
| Strengthen | 369 | ||
| Extend | 373 | ||
| Knowledge check | 376 | ||
| Unit test | 377 | ||
| Unit 13: Probability | 379 | ||
| Prior knowledge check | 379 | ||
| 13.1: Calculating probability | 380 | ||
| 13.2: Two events | 382 | ||
| 13.3: Experimental probability | 385 | ||
| 13.4: Venn diagrams | 388 | ||
| 13.5: Tree diagrams | 391 | ||
| 13.6: More tree diagrams | 394 | ||
| Problem-solving: Ciphers, language and probability | 398 | ||
| Check up | 399 | ||
| Strengthen | 401 | ||
| Extend | 405 | ||
| Knowledge check | 407 | ||
| Unit test | 408 | ||
| Unit 14: Multiplicative reasoning | 411 | ||
| Prior knowledge check | 411 | ||
| 14.1: Percentages | 413 | ||
| 14.2: Growth and decay | 415 | ||
| 14.3: Compound measures | 418 | ||
| 14.4: Distance, speed and time | 421 | ||
| 14.5: Direct and inverse proportion | 424 | ||
| Problem-solving: Second-hand cars | 427 | ||
| Check up | 428 | ||
| Strengthen | 430 | ||
| Extend | 434 | ||
| Knowledge check | 436 | ||
| Unit test | 437 | ||
| Unit 15: Constructions, loci and bearings | 439 | ||
| Prior knowledge check | 439 | ||
| 15.1: 3D solids | 440 | ||
| 15.2: Plans and elevations | 442 | ||
| 15.3: Accurate drawings 1 | 446 | ||
| 15.4: Scale drawings and maps | 449 | ||
| 15.5: Accurate drawings 2 | 452 | ||
| 15.6: Constructions | 454 | ||
| 15.7: Loci and regions | 458 | ||
| 15.8: Bearings | 461 | ||
| Problem-solving | 465 | ||
| Check up | 466 | ||
| Strengthen | 468 | ||
| Extend | 472 | ||
| Knowledge check | 475 | ||
| Unit test | 476 | ||
| Unit 16: Quadratic equations and graphs | 479 | ||
| Prior knowledge check | 479 | ||
| 16.1: Expanding double brackets | 480 | ||
| 16.2: Plotting quadratic graphs | 483 | ||
| 16.3: Using quadratic graphs | 486 | ||
| 16.4: Factorising quadratic expressions | 489 | ||
| 16.5: Solving quadratic equations algebraically | 491 | ||
| Problem-solving | 493 | ||
| Check up | 494 | ||
| Strengthen | 496 | ||
| Extend | 499 | ||
| Knowledge check | 501 | ||
| Unit test | 502 | ||
| Unit 17: Perimeter, area and volume 2 | 504 | ||
| Prior knowledge check | 504 | ||
| 17.1: Circumference of a circle 1 | 505 | ||
| 17.2: Circumference of a circle 2 | 507 | ||
| 17.3: Area of a circle | 509 | ||
| 17.4: Semicircles and sectors | 512 | ||
| 17.5: Composite 2D shapes and cylinders | 515 | ||
| 17.6: Pyramids and cones | 519 | ||
| 17.7: Spheres and composite solids | 522 | ||
| Problem-solving: Designing a pencil case | 526 | ||
| Check up | 527 | ||
| Strengthen | 528 | ||
| Extend | 532 | ||
| Knowledge check | 535 | ||
| Unit test | 536 | ||
| Unit 18: Fractions, indices and standard form | 539 | ||
| Prior knowledge check | 539 | ||
| 18.1: Multiplying and dividing fractions | 540 | ||
| 18.2: The laws of indices | 542 | ||
| 18.3: Writing large numbers in standard form | 544 | ||
| 18.4: Writing small numbers in standard form | 547 | ||
| 18.5: Calculating with standard form | 549 | ||
| Problem-solving: Space race | 552 | ||
| Check up | 553 | ||
| Strengthen | 554 | ||
| Extend | 557 | ||
| Knowledge check | 559 | ||
| Unit test | 560 | ||
| Unit 19: Congruence, similarity and vectors | 562 | ||
| Prior knowledge check | 562 | ||
| 19.1: Similarity and enlargement | 563 | ||
| 19.2: More similarity | 566 | ||
| 19.3: Using similarity | 569 | ||
| 19.4: Congruence 1 | 571 | ||
| 19.5: Congruence 2 | 574 | ||
| 19.6: Vectors 1 | 576 | ||
| 19.7: Vectors 2 | 579 | ||
| Problem-solving | 581 | ||
| Check up | 582 | ||
| Strengthen | 584 | ||
| Extend | 586 | ||
| Knowledge check | 590 | ||
| Unit test | 591 | ||
| Unit 20: More algebra | 594 | ||
| Prior knowledge check | 594 | ||
| 20.1: Graphs of cubic and reciprocal functions | 595 | ||
| 20.2: Non-linear graphs | 597 | ||
| 20.3: Solving simultaneous equations graphically | 601 | ||
| 20.4: Solving simultaneous equations algebraically | 604 | ||
| 20.5: Rearranging formulae | 606 | ||
| 20.6: Proof | 609 | ||
| Problem-solving: Breaking even | 612 | ||
| Check up | 613 | ||
| Strengthen | 615 | ||
| Extend | 619 | ||
| Knowledge check | 622 | ||
| Unit test | 623 | ||
| Answers | 627 | ||
| Index | 700 |