Maths

Emerging 
Developing 
Securing 
Mastering 
Ordering Numbers 
The student is working towards developing understanding this topic. 
Understanding how to use the number line to order positive and negative integers. 
Order decimals on a number line. 
Order fractions. 
Using equality and inequality symbols 
The student is working towards developing understanding this topic. 
Understanding what the symbols = < > mean 
Use the symbol ≠ 
Use the symbols ≤ ≥ 
Comparing with percentages 
The student is working towards developing understanding this topic. 
Understanding that percentage means ‘number of parts out of 100’ 
Compare two quantities where one is a decimal, one is a percentage 
Compare two quantities where one is a fraction, one is a percentage 
Factors and multiples 
The student is working towards developing understanding this topic. 
Understanding the difference between a factor and a multiple 
Use the concepts of Highest Common Factor & Lowest Common Multiple 
Use the concepts and vocabulary of HCF & LCM 
Powers and roots 
The student is working towards developing understanding this topic. 
Understanding what a power and a root is 
Use integer powers & associated real roots (square & cube) 
Distinguish between exact representations of roots and their decimal approximations. 
Negative arithmetic 
The student is working towards developing understanding this topic. 
Understanding that to apply the four operations to calculations involving negatives requires knowledge of how the presence of negative values affects the answer 
Use one of the four operations with negatives 
Use more than one of the four operations with negatives 
Fraction arithmetic 
The student is working towards developing understanding this topic. 
Understanding that the four operations with fractions require knowledge of different methods to the four operations with integers 
Use one of the four operations with fractions 
Use more than one of the four operations with fractions 
Order of operations 
The student is working towards developing understanding this topic. 
Understanding why it is important to have a priority of operations 
Calculate a value using the order of operations (brackets and the four operations) 
Calculate a value using the order of operations including powers and roots 
Rounding to decimal places 
The student is working towards developing understanding this topic. 
Understand that rounding to given decimal places is the same mathematical process as rounding to 10,100,1000 etc 
Round a number to 1 decimal place 
Round measures to 2 or more decimal places 
Ratio in its simplest form 
The student is working towards developing understanding this topic. 
Understanding what ratio notation means 
Reduce a ratio to its simplest form 
Reduce a ratio to its simplest form when conversion between units is required first 
Dividing into a ratio 
The student is working towards developing understanding this topic. 
Understanding that an amount can be divided into a ratio 
Divide a given quantity into two parts and give the amount of one part. 
Express division into two parts as a ratio. 
Expressing a quantity as a fraction of another 
The student is working towards developing understanding this topic. 
Understanding that one quantity can be expressed as a fraction of another 
Express one quantity as fraction/percentage of another where fraction is < 1 
Express one quantity as fraction/percentage of another where fraction is > 1 
Using algebraic notation 
The student is working towards developing understanding this topic. 
Understanding why some algebraic expressions can be simplified using standard notation and others cannot 
Interpret algebraic notation: ab(axb), 3y(y+y+y), a2 axa), a3( axaxa), a/b (a÷b) 
Simplifying perimeter of shapes by writing them as algebraic expressions. 
Language of algebra 
The student is working towards developing understanding this topic. 
Understanding that there are different words to describe different combinations of variables, constants and symbols 
Know the difference between an expression, an equation and a term 
Identify a coefficient, a variable and a constant in an algebraic expression 
Expanding brackets 
The student is working towards developing understanding this topic. 
Understanding that a number directly before a bracket represents multiplying everything in the bracket by that number 
Multiply a single term over a bracket 
Simplify by collecting like terms after expanding two pairs of single brackets 
Substituting into expressions 
The student is working towards developing understanding this topic. 
Understanding that substituting numbers into an algebraic expression will result in a value 
Substitute positive numerical values into an algebraic expression 
Substitute numerical values (positive & negative) into scientific formulae. 
Equations of lines parallel to axes 
The student is working towards developing understanding this topic. 
Understanding that by looking at commonalities of the coordinates of a straight line parallel to the axes, you can write the equation of that line 
Recognise graphs of linear functions parallel to the axes 
Sketch graphs of linear functions parallel to the axes 
Equations of y=x & y=x 
The student is working towards developing understanding this topic. 
Understanding that by looking at commonalities of the coordinates of a straight line y=x or y=x, you can write the equation of that line 
Recognise y=x or y=x 
Sketch y=x or y=x 
Solving linear equations 
The student is working towards developing understanding this topic. 
Understanding that solving equations means working out what the value of the unknown variable is 
Use a process to solve a 1 step linear equation 
Use a process to solve a 2 step linear equation 
Term to term rule 
The student is working towards developing understanding this topic. 
Understanding that a sequence can be generated from a term to term rule and a starting number 
Generate terms of a sequence from a term to term rule. 
Identify if a sequence is arithmetic or geometric 
Fibonacci sequences 
The student is working towards developing understanding this topic. 
Understanding how a Fibonacci sequence works 
Recognise the Fibonacci sequence 
Generate the terms of a Fibonacci sequence 
Pie Charts 
The student is working towards developing understanding this topic. 
Understanding that to construct or interpret a pie chart accurately, you need to know the size of the angle that 1 person represents 
Interpret a pie chart by working out the size of the angle that 1 person represents 
Construct a pie chart by working out the size of the angle that 1 person represents 
Mean & Mode 
The student is working towards developing understanding this topic. 
Understanding that mean and mode are ways to describe the average of a set of data 
Calculate the mean or mode of a list of integers 
Calculate the mean or mode from a table of ungrouped data 
Median & range 
The student is working towards developing understanding this topic. 
Understanding why working out the range and median require ordering the data first 
Calculate the median or range of a list of integers 
Calculate the median or range from a table of ungrouped data 
Properties of quadrilaterals 
The student is working towards developing understanding this topic. 
Understanding what makes a shape be a quadrilateral 
Illustrate quadrilaterals based on given properties including side lengths and pairs of parallel lines, number of right angles 
Illustrate quadrilaterals based on given properties including information about their diagonals 
Properties of polygons 
The student is working towards developing understanding this topic. 
Understanding the word polygon 
Know the difference between regular polygons and irregular polygons 
Illustrate polygons (excluding quadrilaterals) based on given properties including name of shape, side lengths and number of sides 
Congruent transformations 
The student is working towards developing understanding this topic. 
Understanding that a shape on a grid can be transformed to a congruent shape 
Construct single transformations of shapes using translation, rotation & reflection 
Identify and describe single transformations of shapes using translation, rotation & reflection 
Labelling shapes with mathematical notation 
The student is working towards developing understanding this topic. 
Understanding the importance of labelling parts of shapes with correct mathematical notation 
Know how to describe using mathematical notation: lines (eg ab), parallel, perpendicular lines, right angles. 
Use standard conventions for labelling the sides & angles of triangle ABCabc 
Plans and elevations 
The student is working towards developing understanding this topic. 
Understanding why a 3D shape needs front, side and plan view to show it in 2D 
Interpret plans & elevations of 3D shapes 
Construct plans & elevations of 3D shapes 
Area of a trapezium 
The student is working towards developing understanding this topic. 
Understanding how to label the parts of a trapezium correctly to use in the formula 1/2(a+b)h 
Calculate the area of a trapezium 
Solve problems involving area of trapeziums. 
Properties of 3D shapes 
The student is working towards developing understanding this topic. 
Understanding the definitions of face, edge, vertex (& vertices) 
Identify properties from a transparent diagram (faces, surfaces, edges vertices) of cubes, cuboids, prisms, cylinders, pyramids, cones and spheres 
List the properties when no diagram is given (faces, surfaces, edges vertices) of cubes, cuboids, prisms, cylinders, pyramids, cones and spheres 
Volume of a cuboid 
The student is working towards developing understanding this topic. 
Understanding why calculating the volume of a cuboid requires the knowledge of height, length, width 
Calculate the volume of a cuboid 
Solve problems involving volumes of cuboids. 
Angles in parallel lines 
The student is working towards developing understanding this topic. 
Understanding why a transversal intersecting parallel lines will always create the same set of 4 angles on all parallel lines 
Use the relationship between parallel lines and a transversal to calculate a missing angle 
Correctly use the definition of alternate or corresponding angles in a problem involving a missing angle 
Language of probability 
The student is working towards developing understanding this topic. 
Understanding that situations can be described using a probability word 
Use appropriate language to describe unequally likely outcomes. 
Explaining why "it either does happen or it doesn't" should not be described as even chance (or 50/50) 
Using a probability scale 
The student is working towards developing understanding this topic. 
Understanding that the likelihood of any situtation can be shown on a 01 probability scale 
Record a situtation on a 01 probability scale 
Record the frequency of outcomes on the 01 probability scale 
Constructing Venn diagrams 
The student is working towards developing understanding this topic. 
Understanding why an item can always be placed into exactly one section of a Venn diagram 
Enter items correctly into a Venn diagram 
Using correct Venn notation, describe the elements in a given section of a Venn diagram 