HYC Stage 5
Stage 5 Unit 1 – Numbers and the number system - Mathswatch
Identify multiples of numbers.N11
Identify factors of numbers.N10
Identify prime numbers.N30a
Find square and cube numbers.N25
Stage 5 Unit 2 – Counting and Comparing
Order numbers with up to 7 digits.N2a
Read Roman numerals.
Interpret negative numbers in context.N18
Interpret place value in numbers with up to 7 digits.N1a
Stage 5 Unit 3 – Addition and subtraction
Add numbers which do not require column addition.N3a
Add numbers which require column addition.N3b
Subtract numbers which do not require column subtraction.N4a
Subtract numbers which require column subtraction.N4b
Identify when addition or subtraction is needed as part of solving multi-step problems.N4a/b
Stage 5 Unit 4 – Multiplication and Division
Multiply and divide numbers including decimals by 10, 100 or 1000.N17a
Use long multiplication to multiply by a two-digit number.
Use the method of short division to divide by a one-digit number.N16
Solve problems involving multiplication and division.N16
Stage 5 Unit 5 – Investigating properties of shapes
Know the definition and properties of a rectangle and know the definition of a polygon.G14
Use properties of a rectangle to find missing lengths and angles.G14
Use properties of a rectangle to find points on a coordinate grid.A1a
Identify whether or not a polygon is regular.G11
Stage 5 Unit 6 – Visualising and constructing
Identify 3D shapes from photographs.G12a
Identify 3D shapes from sketches.G12b
Identify 3D shapes from nets.G12c
Identify 3D shapes from diagrams on isometric paper.G12
Construct diagrams of 3D shapes on isometric paper.G12
Stage 5 Unit 7 – Exploring time
Convert a given time into a different unit of time.N7b
Solve a problem involving different units of time.N7b
Read and interpret information given in a timetable.N21b
Complete a table given information.N21b
Convert between times.N7b
Stage 5 Unit 8 – Exploring fractions, decimals and percentages
Compare and order fractions using diagrams.N23a
Compare fractions without diagrams.
Write equivalent fractions of a given fraction.N23b
Read, write, order and compare numbers with up to three decimal places.N2b
Understand that percent relates to ‘number of parts per hundred’, and write percentages as a fraction with denominator 100, and as a decimal.N32
Stage 5 Unit 9 – Pattern Sniffing
Count forwards in tens, hundreds and thousands from any positive number.N12
Count backwards in tens, hundreds and thousands from any positive number.N12
Count forwards through zero.N12
Count backwards through zero.N12
Stage 5 Unit 10 – Measuring space
Convert between centimetres and metres and between kilograms and grams.R2
Know rough imperial to metric conversions and vice versa.R2
Use rough equivalents between metric and imperial units when solving problems.R2
Use rough equivalents between metric and imperial units when solving problems.R2
Stage 5 Unit 11 – Investigating angles
Know that angles are measured in degrees, know that angles in a full turn total 360° and identify angles at a point.
Know that angles on a straight line total 180o and identify angles on a straight line.G13
Know that a reflex angle is greater than 180o and estimate the size of angles.G13
Use a protractor to measure angles.G13
Use a protractor to draw angles.G13
Stage 5 Unit 12 – Calculating fractions, decimals and percentages
Convert a mixed number into an improper fraction and vice versa.N36
Add and subtract fractions when one denominator is a multiple of the other.N34
Multiply a proper fraction by a whole number.
Establish percentage and decimal equivalents of fractions with a denominator of 20, 25, 40 and 50.N32
Solve problems involving numbers up to 3.d.p.N32
Stage 5 Unit 13 – Calculating space
Calculate the perimeter of composite rectilinear shapes when some dimensions are unknown.G8b
Calculate the area of a square and rectangle.G20b
Estimate area of irregular shapes.G9
Estimate volume and capacity.
Stage 5 Unit 14 – Checking, approximating & estimating
Round any number up to 1 000 000 to the nearest 10, 100, 1000, 10 000 and 100 000.N27a
Round decimals with two decimal places to the nearest whole number and to one decimal place.N27a
Estimate addition and subtraction calculations with up to four digits.N38
Estimate multiplication calculations.N43a
Estimate division calculations that involve dividing be a single digit number.
Stage 5 Unit 15 – Mathematical movement
Identify translations and reflections.
Carry out a translation described using mathematical language.G5
Carry out reflections using mirror lines.G4a
Describe a reflection using mirror lines.G4a/b
Know the meaning of ‘congruent’, ‘congruence’, ‘object’ and ‘image’.G4a/b
Stage 5 Unit 16 – Presentation of data
Understand the difference between a line graph and a bar-line chart.S2a
Identify when a line graph is an appropriate way to show data.
Read values from a line graph.
Answer one- and two-step questions about data in line graphs.
Solve problems using information presented in a line graph.