HYC Stage 7
Stage 7 Unit 1 - Numbers and the number system - Hegarty maths
Find multiples and factors of a number. 27, 33
Find HCF and LCM of two or more numbers. 31, 34
Understand the meaning of prime factors and write a number as a product of prime factors. 29, 30
Solve problems using HCF and LCM. 36
Investigate square and cube numbers, other powers and their roots. 99 - 101
Understand and use the index laws. 102
Stage 7 Unit 2- Counting and comparing
Investigate negative numbers. 37
Order fractions. 60
Order values given as positive or negative integers, decimals, percentages or fractions. 14, 37, 46
Compare numbers using correct inequality notation. 7, 8
Stage 7 Unit 3 - Calculating
Add and subtract integers and decimals 18, 19, 47
Multiply integers and decimals 21, 48
Dividing using short division. 22
Calculating division with decimals or have a decimal answer 49, 50
Understanding inverse operations 14, 177
Recall and apply BIDMAS. 24
Stage 7 Unit 4 - Visualising and Construction
What is all this notation? 456
Investigating parallel and perpendicular lines 456
Identifying symmetry
Drawing and describing regular polygons
Construction of a triangle with ruler and compass 683
Stage 7 Unit 5 - Investigating properties of shapes
Know the names and properties of special triangles 455, 456, 666
Know and use the definitions of faces, vertices, and edges of 3D shapes
Visualise 3D nets
Know and use the sum of the angles of a triangle to find a missing angle 477, 485
Know and use the sum of the angles of a qudrilateral to find a missing angle 477, 560
Stage 7 Unit 6 - Algebraic Proficiency
Know the meaning of an expression, term, formula, equation and a function. 154
Use algebraic notation to represent variables. 151
Simplify algebraic expressions by collecting like terms. 156, 157
Substitution into a expression /formula. 155, 189
Expand single brackets. 160
Use a mapping diagram (function machine).
Stage 7 Unit 7 - Exploring fractions, decimals and percentages
Write one quantity as a fraction of another where the fraction is less than 1. 62
Write one quantity as a fraction of another where the fraction is greater than 1. 62
Write a fraction in it’s lowest terms by cancelling common factors. 61
Convert between mixed numbers and improper fractions. 64
Understand that percentage means ‘number of parts per hundred’. 82, 83
Write a percentage as a fraction. 82
Write a quantity as a percentage of another. 84
Stage 7 Unit 8 - Proportional reasoning
Understand how to user ratio notation 328
Converting between different units of measurement 695, 709, 743
Simplify a ratio and recognise when in lowest terms 329
Solve problems that involve dividing in a ratio 332 - 334, 739 - 742
Stage 7 Unit 9 - Pattern sniffing
Use a term-to-term rule to generate a linear sequence. 197
Use a term-to-term rule to generate a non-linear sequence. 197
Find the term-to-term rule for a sequence. 197
Describe a number sequence. 197
Solve problems involving the term-to-term rule for a sequence. 197
Stage 7 Unit 10 - Measuring space
Use a ruler to accurately measure lines.
Use a protractor to accurately measure angles. 458
Convert fluently between metric units of length. 692, 693
Convert fluently between metric units of mass. 695, 696
Convert fluently between metric units of volume/capacity. 702, 703
Convert fluently between metric units of time. 709, 710
Convert fluently between metric units of money. 743
Solve practical problems that involve converting between units. 694, 711, 714
Stage 7 Unit 11 - Investigating angles
Identify angles at a point, angles on a straight line and vertically opposite angles. 477 - 480
Identify known angle facts in more complex geometrical diagrams. 456, 479
Use knowledge of angles to calculate missing angle in diagrams. 477 - 479
Use the angle sum of a triangle to find missing angles. 477, 480
Find missing angles in isosceles triangles. 485
Stage 7 Unit 12 – Calculating fractions, decimals and percentages
Add and subtract proper fractions, improper fractions and mixed numbers. 65, 66
Multiply proper fractions, improper fractions and mixed numbers. 68, 69
Divide a proper fraction by a proper fraction. 70
Divide improper fractions and mixed numbers. 64, 70
Use a calculator to find a percentage of an amount. 86, 87
Use a calculator to increase or decrease an amount by a percentage. 89, 90
Compare two quantities using percentages. 98
Calculate percentage change. 97
Stage 7 Unit 13 – Solving equations and inequalities
Choose the required inverse operation when solving an equation. 177
Identify the correct order of undoing the operations in an equation. 177
Solve one step equations when the solution is a whole number or fraction. 178
Solve two-step equations when the solution is whole number or fraction. 179, 180
Solve two-step equations involving brackets when the solution is whole number. 183
Solve three-step equations when the solution is whole number or fraction. 184
Solve three-step equations involving brackets when the solution is whole number or fraction. 183, 184
Check the solution to an equation by substitution. 183, 184
Stage 7 Unit 14 – Calculating Space
Recall and apply the area formulae for rectangles, triangles and parallelograms. 554
Calculate the area of compound shapes. 556, 557
Calculate missing lengths in shapes when the area is given. 554, 555
Recall and apply the area formula for a trapezium. 559
Understand the meaning of surface area. 584
Calculate the surface area of cubes and cuboids. 584
Calculate missing lengths in 3D shapes when the surface area or volume is known. 584, 568
Stage 7 Unit 15 - Checking, Approximating and Estimating
Round values to any number of decimal places. 56
Identify the first significant figure in a number. 130
Round to 1 significant figure. 130
Understand estimation as a process of finding a rough answer to a calculation and its value to check answers are sensible. 131
Use estimation to find the rough value of a calculation by rounding values to 1SF. 131
Use inverse operations to check the solutions to calculations. 177
Stage 7 Unit 16 – Mathematical Movement
Identify the equation of lines that are parallel to the x-axis and the y-axis and draw them. 205
Identify the lines y=x and y=-x and draw them. 205
Reflect 2D shapes in the lines y = x and y = -x. 639, 640
Describe a reflection when given the object and image. 639
Accurately perform and describe translations using vector notation. 637
Accurately rotate 2D shapes using a centre of rotation. 648, 649
Describe a rotation stating all necessary information. 648, 649
Stage 7 Unit 17 – Presentation of data
Know what is meant by continuous and discrete data. 393
Interpret and construct frequency tables. 402, 404, 410
Construct and interpret pictograms, bar charts, vertical line charts and tables and know their appropriate use. 425, 426
Construct and interpret comparative bar charts. 426
Interpret pie charts and know their appropriate use. 427
Draw pie charts when the total frequency is not a factor of 360°. 427
Choose appropriate graphs or charts to represent data.
Stage 7 Unit 18 – Measuring Data
Find the mode for a set of data. 404
Find the median for a set of data, including when there is an even number of values. 409
Calculate the mean and use it to identify the missing number in a set of data. 405
Calculate the mean from a frequency table. 417
Find the mode and median from a frequency table. 415, 416
Understand the range as a measure of spread and calculate it for a set of data. 410
Analyse and compare sets of data. 404, 405, 409, 410
Appreciate the limitations of different statistics.