HYC Stage 8
Stage 8 Unit 1 – Numbers and the number system - Hegarty Maths
Recall prime numbers up to 100. 28
Understand the meaning of prime factor. 29
Write a number as a product of prime factors. 30
Use a Venn diagram to sort information. 379
Use prime factorisations to find HCF and LCM. 32, 35
Identify any significant figure in a number. 130
Write and interpret large and small numbers in standard form. 122, 123
Stage 8 Unit 2 - Calculating
Add/subtract and Multiply/Divide Fractions 41
Improper and mixed fractions 63, 64
Add/subtract improper Fractions 65, 66
Multiply/Divide improper fractions 68, 70
Add/subtract/multiply/divide mixed fractions 155, 278
Using BIDMAS with powers (indices) 24, 120
Stage 8 Unit 3 – Visualising and Construction
Measuring and drawing lines and angles 458, 461
Explore enlargement of 2D shapes. Vocabulary. Finding and using scale factors 609, 642, 644
Use and identify a centre of enlargement 643
Interpret plans and elevations
Scale drawings, scale factors and maps 679
Stage 8 Unit 4 – Understanding risk
Work out probabilities using words 349
Working out probabilities – the probability scale 350
Understand theoretical probability 351, 352
Compare with experimental probability 356
Work out probabilities for all outcomes (two-way tables) 359, 423
Construct simple probability trees 361
Stage 8 Unit 5 – Algebraic Proficiency
Create algebraic expressions with products and fractions 151, 153, 155
Simplify an expression with complex terms 156
Understand formulae and substitution. Common scientific formulae 155
Expand and simplify and expression 160, 161
Factorise an expression Single brackets 168, 169
Changing the subject of a formula 280
Stage 8 Unit 6 – Exploring fractions, decimals and percentages
Investigate the relationship between fraction, decimals and percentages terminating and recurring fractions 149
Simplify fractions by cancelling common factors 61
Equivalent Fractions. Scaling by 10ths and 100ths 59
Use a calculator to convert between decimals, fractions and percentages. 74, 75
Stage 8 Unit 7 – Proportional reasoning
Write a ratio to describe a real life situation 329
Finding proportion. Using proportion in real life 739
Solving problems using ratio and proportion. Real life problems and exam questions 332
Use fractions in situations involving ratio and proportion 330
Solve problems involving speed, distance and time 716, 719
Stage 8 Unit 8 – Pattern Sniffing
Generate a sequence using a term-to-term rule 197
Find terms of a sequence from a position to term rule 198
Deduce the nth term rule of a linear sequence 198
Find a given number in a sequence using the nth term 198
Generate sequences using a spread sheet 198
Stage 8 Unit 9 – Investigating angles
Identify alternate and corresponding angles and know their properties. 480 - 483
Use alternate and corresponding angles to solve problems. 481, 483
Establish the angle sum of a triangle. 484
Use the triangle angle sum to calculate the interior angle sum of any polygon. 561
Establish the size of an interior angle in a regular polygon. 562
Know the total of the exterior angles in any polygon. 563
Establish the size of an exterior angle in a regular polygon. 564
Stage 8 Unit 10 – Calculating fractions, decimals and percentages
Recognise when a fraction or percentage should be interpreted as a number or an operator. 66, 68, 70, 91
Identify the multiplier for a percentage increase or decrease when the percentage is greater than 100%. 89
Use a calculator to increase an amount by greater than 100%. 90
Solve problems involving percentage change. 97
Solve original value problems when working with percentages. 96
Solve financial problems involving simple interest. 93
Understand the meaning of giving an exact solution.
Stage 8 Unit 11 – Solving equations and inequalities
Solve equations with positive and negative solutions. 179
Solve equations with unknowns on both sides. 184
Solve equations with unknowns on both sides when the solution is negative or fractional. 184
Solve equations with unknowns on both sides and brackets. 185
Recognise that the point of intersection on a graph corresponds to the solution. 217
Stage 8 Unit 12 – Calculating Space
Know the vocabulary of circles and recall π to 2dp. 592
Know and use the formula for circumference of a circle. 534, 535
Calculate the perimeter of composite shapes that include sections of a circle. 563, 537
Know and use the formula for area of a circle. 539
Calculate the area of composite shapes that include sections of a circle. 541
Calculate the volume of a cylinder. 572
Stage 8 Unit 13 – Algebraic proficiency: visualising
Know how graphs of functions of the form y=mx+c will look. 207
Identify the gradient and y-intercept of a straight line. 204, 208
Sketch a linear graph from the intercept and gradient. 206
Know the general shape of quadratic graphs (containing x2). 251
Sketch and plot graphs of the form y=x2+c. 251
Plot and interpret distance-time graphs and use them to solve kinematic problems. 711, 716
Stage 8 Unit 14 – Understanding risk 2
Use Venn diagrams to list all elements in a combination of sets. 379
List the outcomes of an event systematically, including using a sample space diagram. 358, 359
Use theoretical or experimental probability to calculate expected outcomes. 355 Use frequency trees to record outcomes of probability experiments. 368, 369 Calculate probabilities using a possibility space. 358, 359
Stage 8 Unit 15 – Presentation of data
Know the meaning of continuous data. 393
Construct and interpret grouped frequency tables for continuous data. 418
Construct and interpret histograms for grouped data with equal class intervals. 445, 446
Plot a scatter graph. 453
Identify and interpret correlation in a scatter graph. 453, 454
Stage 8 Unit 16 – Measuring data
Find the modal class for a set of grouped data. 415
Find the class containing the median for a set of grouped data. 416
Calculate the estimated mean from a grouped frequency table. 418
Analyse and compare sets of data. 415 - 418
Appreciate the limitations of different statistics (mean, median mode and range). 413
Justify choice of statistics to describe a set of data. 413