HYC Stage 6
Stage 6 Unit 1 – Numbers and the number system - Hegarty Maths
Understanding place value in numbers with up to three decimal places 14, 46
Multiply and divide by 10, 100, 1000 15, 16
Understand and use temperatures in real life contexts 37, 38
Find factors and multiples 27, 33
Identify common multiples and factors 31, 34
Identify prime numbers and know how to test if a number up to 120 is prime 28
Stage 6 Unit 2 – Calculating
Multiply a two digit number by a single digit number, including mentally 10
Add a three digit number to a two digit number 18
Reliably use long multiplication 21
Identify when to add, subtract or multiply when solving worded problems 20, 23
Know to perform multiplication and division before addition and subtraction in multistep calculations 24
Stage 6 Unit 3 – Calculating: Division
Divide numbers up to four digits by a single digit number using short division 22
Divide numbers up to four digits by a double digit number using short division 22
Write the remainder of a division as a fraction 22, 62, 145, 146
Identify when division is required to solve a worded problem and extract the correct information 23
Extend short division beyond the decimal point to give remainders as decimals 49, 50
Stage 6 Unit 4 – Visualising and constructing
Use a ruler to accurately draw and measure lines
Use a protractor to accurately draw and measure angles up to 180° 458, 460, 461
Complete tessellations of 2D shapes
Know the names of common 3D shapes and describe their properties
Construct 3D shapes from nets or using polydron
Stage 6 Unit 5 – Investigating properties of shapes
Know the properties of special types of triangles.
Know the properties of special types of quadrilaterals.
Know the angle sum of a triangle and quadrilateral. 485, 560
Use the angle sum of a triangle and quadrilateral. 485, 560
Find missing angles in isosceles triangles. 485, 486
Know how to find the size of angles in polygons. 561, 563
Stage 6 Unit 6 – Algebraic proficiency: Using formulae
Understand and use a simple formula in words. 155
Substitute numbers into a one-step formula written in words. 151
Substitute numbers into a two-step formula written in words. 151, 152
Create a one or two-step formula from given information. 176
Use symbols to represent variables in a formula. 176
Stage 6 Unit 7 – Exploring fractions, decimals and percentages
Understand that fractions can be equivalent and find equivalent fractions. 59
Simplify a fraction, recognising when it is in it’s simplest form. 61
Compare two fractions using diagrams or equivalent fractions. 58, 60
Know standard fraction to decimal equivalences. 73, 74
Know the standard F-D-P equivalences. 149
Work out F-D-P equivalences for fifths, eighths and tenths. 149
Stage 6 Unit 8 – Proportional reasoning
Identify when to use multiplication or division to solve a comparison problem. 763
Find the value of a single item in a comparison problem. 763, 764
Use the value of a single item to solve a comparison problem. 763, 764
Understand the meaning of enlargement and scale factor. 642
Recognise when one shape is an enlargement of another. 642
Use a scale factor to complete or describe an enlargement. 642
Stage 6 Unit 9 – Pattern sniffing
Use the vocabulary of sequences.
Recognise and describe a linear sequence. 197
Find the next term in a linear sequence. 197
Find a missing term in a linear sequence. 197
Generate a linear sequence from it’s description. 197
Stage 6 Unit 10 – Measuring space
Convert between metric units, including ‘two jumps’ eg. from km to cm. 692, 693
Use decimal notation up to 3dp when converting metric units. 692, 693
Convert between metric and imperial units. 705, 706
Solve problems that involve converting between measures. 694
Stage 6 Unit 11 – Investigating angles
Identify angles that meet at a point. 479
Identify angles that meet at a point on a straight line. 477
Identify vertically opposite angles and know their properties 477, 480
Use the above facts to solve angle problems. 477 - 480
Show clear workings and state reasons when solving angle problems. 477 - 480
Stage 6 Unit 12 – Calculating fractions, decimals and percentages
Add and subtract fractions with the same denominator. 65
Add and subtract fractions with different denominators. 66
Multiply and divide fractions by whole numbers. 68 - 71
Multiply a decimal by an integer. 48
Find 10%, 25% and 50% of a quantity. 84
Use non-calculator methods to find a percentage of an amount. 84 - 86
Stage 6 Unit 13 – Solving equations and inequalities
Solve missing number problems written in words. 177
Find a solution to a missing number problem with two unknowns, listing all possible solutions. 153, 177
Know the basic rules of algebraic notation. 151, 152, 153
Express missing number problems algebraically. 177
Solve missing number problems expressed algebraically. 177, 178
Stage 6 Unit 14 – Calculating space
Calculate the perimeter of a 2D shape. 549
Recognise the shapes with the same areas can have different perimeters and vice versa. 549, 554
Calculate the area of rectangles, parallelograms, triangles and recall the formulae. 554, 557, 556
Calculate the volume of a cuboid and recall the formula. 567, 568
Choose appropriate units for measures of area and volume. 691
Stage 6 Unit 15 – Checking, approximating and estimating
Round numbers to the nearest 10, 100 and 1000. 17
Understand estimating as the process of finding a rough value of a calculation. 17, 131
Estimate solutions to decimal multiplications. 130, 131
Estimate multiplications of integers up to 4-digit by 2-digit. 130, 131
Estimate divisions of up to 4-digit by 1-digit. 130, 131
Estimate calculations that involve multiplying numbers with up to 2dp by integers. 130, 131
Stage 6 Unit 16 – Mathematical movement
Use co-ordinates to describe and plot the position of a point in all four quadrants. 199
Construct a co-ordinate grid in all four quadrants. 199
Use co-ordinates to plot a set of points to construct a polygon. 199
Solve problems involving co-ordinates. 199
Carry out a translation from worded instructions. 637
Reflect a shape using one of the axes as a mirror line. 639
Stage 6 Unit 17 – Presentation of data
Understand that pie charts are used to show proportions.
Interpret pie charts and make comparisons. 427
Use frequencies to work out the size of an angle in a pie chart. 427
Construct a pie chart. 427
Identify the scale used on the axes of a bar chart or line graph. 425
Read values from a bar chart or line graph involving scaling. 425
Stage 6 Unit 18 – Measuring data
Understand the meaning of average as ‘typicality’.
Interpret the mean as a way of ‘levelling the data’. 405
Calculate the mean of a set of data. 405
Use the mean to find a missing number in a set of data. 407