A/B/C Grade Examples

 

To gain a grade ‘A’ you should be able to:

Info to follow….

To gain a grade ‘B’ you should be able to:

• Use percentages to solve problems involving repeated changes
• Use percentages to solve problems about finding the original quantity when you know a particular percentage value

• Calculate with density
• Use volume and density to find weight and other combinations of these 3 quantities
• Substitute fractions and negative numbers into expressions and formulae
• Be familiar with the properties of all the different quadrilaterals
• Give reasons to support your answers to problems involving angles
• State clearly why two triangles are congruent
• Show clearly why particular shapes (such as pentagons) will not tessellate
• Write numbers in standard form and use standard form in problem solving
• Find full solutions to inequalities of the types x {a and x} a
• Solve simultaneous linear equations, including questions about real life problems
• Read and construct a histogram
• Criticise and create questionnaires to test a hypothesis
• Factorise quadratic expressions
• Solve quadratic expressions by factorisation
• Interpret the gradient of a straight line graph
• Write down a rule of equation from a graph that shows two variables with a straight line
• Work out the unknown side in one of two similar shapes using an equation
• Draw a complicated situation and use Pythagoras’ theorem to find lengths
• Use sine, cosine and tangent in right angled triangles in 2 dimensional problems
• Find angles of elevation, depression and bearings using trigonometry
• Change units within a problem to compare two different types of units
• Sketch and interpret complicated Loci with more than one condition
• Solve simultaneous equations using a graphical method
• Find regions described by graphical inequalities
• Solve problems using a cumulative frequency diagram
• Interpret a scatter diagram and have knowledge of positive and negative correlation
• Work out probabilities of combined events using theory
• Solve probability questions using words and & or
• Find the nth term of any given sequence using quadratic sequences
• Sketch and interpret quadratic, cubic or reciprocal graphs, use their properties and know how their shape varies with different coefficients
• Recognise whether a formula is dimensionally consistent and whether it represents a length, an area or a volume

 

To gain a grade ‘C’ you should be able to:

• Round off your answers to a suitable degree of accuracy, without being asked to
• Multiply and divide using negative numbers
• Express one number as a percentage of another
• Understand the equivalence between fractions, decimal and percentages
• Calculate using ratio in appropriate situations
• Calculate the circumference and the area of a circle
• Find the area of a trapezium
• Find the volume of 3D shapes such as cylinders, cuboids and other regular prisms
• Solve equations and problems by trial and improvement
• Make simple equations from problems and then solve them
• Solve problems using angular properties of polygons
• Solve problems using properties of intersecting and parallel lines
• Enlarge a shape by a positive whole number scale factor or a fractional scale factor
• Calculate a ‘return’ (or ‘back’) bearing
• Construct accurately to the nearest degree
• Draw good scale diagrams
• Identify all the symmetries of 3D shapes
• Multiply and divide numbers rounded to 1 significant figure
• Multiply and divide numbers in index form
• Represent inequalities on a number line
• Solve simple linear inequalities
• Solve simple simultaneous equations where you only need to change one equation
• Construct and interpret frequency diagrams such as a frequency polygons and pie charts
• Test a hypothesis
• Find the modal group
• Estimate the mean of a set of grouped data
• Choose the type of average that is most appropriate to the question
• Use the measures of range and average with frequency polygons to compare distributions
• Manipulate simple formulae, equations and expressions
• Expand a two bracket expression
• Calculate the gradient of a straight line graph
• Find the speed from a distance/time graph
• Know the conditions needed for two shapes to be similar
• Work out unknown sides using ratios
• Solve simple problems using linear scale factors between two similar shapes
• Show that you understand and can use Pythagoras theorem
• Use sine, cosine and tangent in right angled triangles
• Compare prices between metric measures and imperial measures
• Express a problem in terms of a locus
• Find the correct locus required for a problem
• Draw a straight line graph
• Measure the gradient of a straight line and give its equation
  
  
  

To gain a grade ‘D’ you should be able to:

• Evaluate fractions of amounts
• Round numbers using decimal places and significant figures
• Make estimates in problems by rounding off
• Calculate average speeds from given data
• Calculate the area of a triangle
• Be familiar with the different types of triangles
• Know the names of different polygons
• Reflect a shape in a given line
• Rotate a shape about a given centre of rotation
• Recognise when to use a protractor and be accurate at measuring to within 2 degrees
• Draw 2D representations of 3D shapes
• Draw nets of simple 3D shapes
• Know the difference between the inequality signs
• Change the subject of simple formulae
• Draw a distance/time graph from information given
• Recognise that two similar shapes (e.g. rectangles) have sides in a simple ratio (e.g. 1:2) and be able to use this to work out an unknown side
• Interpret a simple practical problem with only a single condition and draw the locus that describes it
• Plot any straight line graph given in the form y=mx + c, using any method
• Recognise correlation from a scatter diagram and describe it in words
• Understand and use the probability scale from 0 to 1
• Make judgements about probabilities, using either experimental evidence or theoretical calculations
• Know that different outcomes may result when repeating an experiment
• Write the nth term of a linear sentence
• Plot any non-linear graph using a table of values
  
  
  

To gain a grade ‘E’ you should be able to:

• Perform long multiplication and division without a calculator
• Add and subtract negative numbers
• Calculate percentage parts of quantities
• Simply a ration
• Know what a perimeter is
• Calculate the area of a rectangle
• Find the volume of a cuboid
• Write algebraic expressions from simple situations
• Use simple formulae
• Measure and draw angles accurately
• Translate a shape using a vector
• Recognise congruent shapes
• Sketch a situation involving bearings
• Construct angles
• Identify all the symmetries of flat shapes
• Sketch the nets of 3 dimensional shapes
• Multiply and divide whole numbers and decimals by 10,100 and 1000
• Find the mode, mean and median from a simple list of data
• Read a variety of statistical diagrams including a bar chart and pie chart
• Compare two distributions using the range and mean
• Expand a simple expression
• Use conversion graphs
• Interpret travel graphs
• Make a start on Pythagoras question, by substituting the correct values into the given formula
• Solve triangle problems by using scale drawings
• Know the approximate metric equivalents of the imperial units still in daily use
• Convert one metric unit to another
• Make sensible estimates of lengths and weights of everyday objects
• Draw a simple locus for a given situation
• Find the outputs from a given function or flow diagram
• Plot co-ordinates to draw a straight line graph
• Plot points on a scatter diagram
• Describe number patterns and explain how a pattern works, writing down the next few terms
• Plot co-ordinates to draw a simple non-linear graph of the form y=ax + b
• Calculate the areas and volumes of simple shapes and know the units used to measure them

 

Key Stage 3 Level Descriptors

Level 5 means that I can …

• Multiply and divide whole numbers by 10, 100 and 1000
• Add and subtract negative numbers
• Put numbers in order including negative numbers
• Add, subtract, multiply and divide numbers like 19.75 and 34.21
• Simplify a fraction
• Work out a fraction or percentage of a number
• Multiply or divide a three digit number by a two digit number
• Use inverse operations of approximation to check my answers
• Use simple formulae like C = 2n+4
• Use co-ordinates in all four quadrants
• Measure and draw angles to the nearest degree
• Remember the metric to imperial conversions
• Use and understand the formula for the area of a rectangle
• Find the mean of discrete data
• Use the range and one of the averages to compare two sets of data
• Say what diagrams and graphs show
• Use the probability scale from 0 to 1
• Understand that experiments don’t always have the same outcome

Level 4 means that I can…

• Find factors
• Work out the square numbers
• Use word formulae
• Design number patterns
• Use co-ordinates in the first quadrant
• Multiply and divide whole numbers by 10 and 100
• Say my tables upto 10x10
• Add and subtract numbers like 13.64 and 48.95
• Write decimal numbers in the correct order
• Check my own answers
• Make 3D models
• Draw 2D shapes
• Find perimeters of shapes
• Find the area by counting squares
• Draw line graphs
• Present data clearly
• Read simple pie charts
• Draw frequency tables
• Find the mode
• Find the range
• Try ideas of my own

Level 6 means that I can …

• Use trial and improvement to solve things like x3+5x=38
• Work out one number as a fraction or percentage of another
• Understand that fractions, decimals and percentages can be equivalent to each other (like 0.5=50%)
• Calculate using ratio
• Add and subtract fractions with common denominators
• Find and describe in words the rule for the next term in a sequence (Linear)
• Find and describe in words the rule for the n
• th term in a sequence
• Solve linear equations with integer coefficients
• Plot the graph of y=mx+c
• Recognise 2D representations of 3D objects
• Classify quadrilaterals by knowing their properties
• Find the missing angles when two parallel lines are intersected
• Solve angle problems in polygons
• Write instructions to make a computer draw a shape
• Find the area and circumference of a circle
• Find the volume of cuboids
• Enlarge a shape by a positive scale factor
• Work with continuous data
• Construct pie charts
• Say what a scatter diagram tells us
• Understand correlation
• Find all the possible outcomes of two experiments
• Use the fact that the probability of mutually exclusive events add up to 1

Level 7 means that I can …

• Round to one significant figure
• Understand what happens when we multiply or divide by numbers between 0 and 1
• Multiply and divide numbers of any size
• Understand proportional change
• Describe in symbols the rule for the next term or nth term in a sequence (Quadratic)
• Multiply things like (a+b)(c+d)
• Simplify quadratic expressions
• Solve simultaneous, linear equations with two variables (Using graphs or algebra)
• Solve inequalities like 6[2n+1] < 18
• Understand and use Pythagoras ’ Theorem in 2D
• Calculate lengths, areas and volumes in right prisms
• Enlarge a shape by a fractional scale factor
• Understand similarity
• Draw the locus of a moving object
• Find and understand upper and lowers bounds
• Use compound measures like speed, distance, time
• Give and test a hypothesis to a situation
• Understand bias
• Find the modal class and an estimate to the mean, median and range when using grouped data
• Compare distributions using frequency polygons
• Draw a line of best fit on a scatter diagram
• Understand relative frequency

Level 8 means that I can …

• Solve problems involving powers and roots
• Solve problems involving standard form
• Solve problems involving repeated proportional change
• Substitute fractions and decimals into equations and expressions and find the answers
• Calculate one variable in a formula when I know the others
• Understand that a2+b2=(a+b)(a-b)
• Solve inequalities in two variables
• Sketch and interpret graphs of quadratic, cubic and reciprocal functions
• Interpret graphs that model real life situations
• Use congruence and mathematical similarity
• Use sine, cosine and tangent in right angled triangles in 2D
• Distinguish between formulae for perimeter, area and volume by considering dimensions
• Interpret and construct cumulative frequency diagrams
• Estimate the median and inter quartile range
• Calculate the probability of a compound event