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 0-1 probability scale Record a situtation on a 0-1 probability scale Record the frequency of outcomes on the 0-1 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