# 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