Step 1:  Understand the meaning and representation of ratio

Step 2:  Understand and use ratio notation

Step 3:  Solve problems involving ratios of the form 1 : n (or n : 1)

Step 4:  Solve problems involving ratios of the form m : n

Step 5:  Divide in a given ratio

Step 6:  Express ratios in their simplest integer form

Step 7:  Express ratios in the form 1 : n (H)

Step 8:  Compare ratios and fractions

Step 9:  Understand pi as a ratio

Step 10:  Understand gradient as a ratio (H)

Step 1:  Solve problems involving direct proportion

Step 2:  Explore conversion graphs

Step 3:  Convert between currencies

Step 4:  Explore direct proportion graphs (H)

Step 5:  Explore relationships between similar shapes

Step 6:  Understand scale factors as multiplicative representations

Step 7:  Draw and interpret scale diagrams

Step 8:  Interpret maps using scale factors and ratios

Step 1:  Represent multiplication of fractions

Step 2:  Multiply a fraction by an integer

Step 3:  Find the product of a pair of unit fractions

Step 4:  Find the product of a pair of any fractions

Step 5:  Divide an integer by a fraction

Step 6:  Divide a fraction by a unit fraction

Step 7:  Understand and use the reciprocal

Step 8:  Divide any pair of fractions

Step 9:  Multiply and divide improper and mixed fractions

Step 10:  Multiply and divide algebraic fractions

Step 1:  Work with coordinates in all four quadrants

Step 2:  Identify and draw lines that are parallel to the axes

Step 3:  Recognise and use the line y = x

Step 4:  Recognise and use lines of the form y = kx

Step 5:  Link y = kx to direct proportion problems

Step 6:  Explore the gradient of the line y = kx (H)

Step 7:  Recognise and use lines of the form y = x + a

Step 8:  Explore graphs with negative gradient (y = –kx, y = a – x, x + y = a)

Step 9:  Link graphs to linear sequences

Step 10:  Plot graphs of the form y = mx + c

Step 11:  Explore non-linear graphs (H)

Step 12:  Find the midpoint of a line segment (H)

Step 1:  Draw and interpret scatter graphs

Step 2:  Understand and describe linear correlation

Step 3:  Draw and use line of best fit

Step 4:  Identify non-linear relationships

Step 5:  Identify different types of data

Step 6:  Read and interpret ungrouped frequency tables

Step 7:  Read and interpret grouped frequency tables

Step 8:  Represent grouped discrete data

Step 9:  Represent continuous data grouped into equal classes

Step 10:  Construct and interpret two-way tables

Step 1:  Construct sample spaces for one or more events

Step 2:  Find probabilities from a sample space

Step 3:  Find probabilities from two-way tables

Step 4:  Find probabilities from Venn diagrams

Step 5:  Use the product rule for finding the total number of possible outcomes

Step 1:  Form algebraic expressions

Step 2:  Use directed number with algebra

Step 3:  Multiply out a single bracket

Step 4:  Factorise into a single bracket

Step 5:  Expand multiple single brackets and simplify

Step 6:  Expand a pair of binomials (H)

Step 7:  Solve equations, including with brackets

Step 8:  Form and solve equations with brackets

Step 9:  Understand and solve simple inequalities

Step 10:  Form and solve inequalities

Step 11:  Solve equations and inequalities with unknowns on both sides (H)

Step 12:  Form and solve equations and inequalities with unknowns on both sides (H)

Step 13:  Identify and use formulae, expressions, identities and equations

Step 1:  Generate sequences given a rule in words

Step 2:  Generate sequences given a simple algebraic rule

Step 3:  Generate sequences given a complex algebraic rule

Step 4:  Find the rule for the nth term of a linear sequence (H)

Step 1:  Adding and subtracting expressions with indices

Step 2:  Simplifying algebraic expressions by multiplying indices

Step 3:  Simplifying algebraic expressions by dividing indices

Step 4:  Using the addition law for indices

Step 5:  Using the addition and subtraction law for indices

Step 6:  Exploring powers of powers (H)

Step 1:  Convert fluently between key fractions decimals and percentages

Step 2:  Calculate key fractions, decimals and percentages of an amount without a calculator

Step 3:  Calculate fractions, decimals and percentages of an amount using calculator methods

Step 4:  Convert between decimals and percentages greater than 100%

Step 5:  Percentage decrease with a multiplier

Step 6:  Calculate percentage increase and decrease using a multiplier

Step 7:  Express one number as a fraction or a percentage of another without a calculator

Step 8:  Express one number as a fraction or a percentage of another using calculator methods

Step 9:  Work with percentage change

Step 10:  Choose appropriate methods to solve percentage problems

Step 11:  Find the original amount given the percentage less than 100% (H)

Step 12:  Find the original amount given the percentage greater than 100% (H)

Step 13:  Choose appropriate methods to solve complex percentage problems (H)

Step 1:  Investigate positive powers of 10

Step 2:  Work with numbers greater than 1 in standard form

Step 3:  Investigate negative powers of 10

Step 4:  Work with numbers between 0 and 1 in standard form

Step 5:  Compare and order numbers in standard form

Step 6:  Mentally calculate with numbers in standard form

Step 7:  Add and subtract numbers in standard form

Step 8:  Multiply and divide numbers in standard form

Step 9:  Use a calculator to work with numbers in standard form

Step 10:  Understand and use negative indices (H)

Step 11:  Understand and use fractional indices (H)

Step 1:  Round numbers to powers of 10 and 1 significant figure

Step 2:  Round numbers to a given number of decimal places

Step 3:  Estimate the answer to a calculation

Step 4:  Understand and use error interval notation (H)

Step 5:  Calculate using the order of operations

Step 6:  Calculate with money

Step 7:  Convert metric measures of lengths

Step 8:  Convert metric units of weight and capacity

Step 9:  Convert metric units of area (H)

Step 10:  Convert metric units of volume (H)

Step 11:  Solve problems involving time and the calendar

Step 1:  Understand and use basic angle rules and notation

Step 2:  Investigate angles between parallel lines and the transversal

Step 3:  Identify and calculate with alternate and corresponding angles

Step 4: Identify and calculate with co-interior, alternate and corresponding angles

Step 5:  Solve complex problems with parallel line angles

Step 6:  Constructions triangles and special quadrilaterals

Step 7:  Investigate the properties of special quadrilaterals

Step 8:  Identify and calculate with sides and angles in special quadrilaterals

Step 9:  Understand and use the properties of diagonals of quadrilaterals

Step 10:  Understand and use the sum of exterior angles of any polygon

Step 11:  Understand and use the sum of the interior angles in any polygon

Step 12: Calculate missing interior angles in regular polygons

Step 13:  Prove simple geometric facts (H)

Step 14:  Construct an angle bisector (H)

Step 15:  Construct a perpendicular bisector of a line segment (H)

Step 1:  Calculate the area of triangles, rectangles and parallelograms

Step 2:  Calculate the area of a trapezium

Step 3:  Calculate the perimeter and area of compound shapes (1)

Step 4:  Investigate the area of a circle

Step 5:  Calculate the area of a circle and parts of a circle without a calculator

Step 6:  Calculate the area of a circle and parts of a circle with a calculator

Step 7:  Calculate the perimeter and area of compound shapes (2)

Step 1:  Recognise line symmetry

Step 2:  Reflect a shape in a horizontal or vertical line 1 (shapes touching the line)

Step 3: Reflect a shape in a horizontal or vertical line 2 (shapes not touching the line)

Step 4:  Reflect a shape in a diagonal line 1 (shapes touching the line)

Step 5: Reflect a shape in a diagonal line 2 (shapes not touching the line)

Step 1:  Set up a statistical enquiry

Step 2:  Design and criticise questionnaires

Step 3:  Draw and interpret pictograms, bar charts and vertical line charts

Step 4:  Draw and interpret multiple bar charts

Step 5:  Draw and interpret pie charts

Step 6:  Draw and interpret line graphs

Step 7:  Choose the most appropriate diagram for a given set of data

Step 8:  Represent and interpret grouped quantitative data

Step 9:  Find and interpret the range

Step 10:  Compare distributions using charts

Step 11:  Identify misleading graphs

Step 1:  Understand and use the mean, median and mode

Step 2:  Choose the most appropriate average