Level 4 means that I can… - Number Loving
Grade A* means that I can…
□ Work out complex indices, including surds
□ Use bounds in area/volume questions
□ Draw the functions, y = f(x+a); y = f(ax)
□ Solve equations, one linear and one quadratic
□ Draw the three Trig functions
□ Draw the Exponential/complex functions
□ Simplify Algebraic fractions
□ Rearrange complex equations
□ Prove the circle theorems
□ Use Trig in 3-d
□ Apply the Sine/cosine rule
□ Draw and interpret Histograms
Grade A means that I can…
□ Work out Fractional indices
□ Rationalise surds
□ Use Upper/lower bounds
□ Find the equation of line through point and perpendicular to a given line
□ Rearrange equations/formulae
□ Simplify easy algebraic fractions
□ Prove algebraic problems
□ Solve quadratics by, factorizing, formula or completing the square
□ Solve equations graphically
□ Recognise the Difference of two squares
□ Simplify algebra involving powers
□ Find the Area of triangle = ½absinC
□ Work out the Surface area/volume of various solids
□ Work out area and length of Arcs/sectors/segments
□ Apply Trig/Pythagoras in 3D
□ Calculate distance between points using 3D co-ordinates
□ Prove that triangles are congruent
□ Apply the Circle theorems to solve problems
□ Understand enlargement with a negative/fractional scale factor
□ Use Sampling, stratified sampling
Grade B means that I can…
□ Work out Compound Interest
□ Work out Reverse %
□ Use Fractions, any form
□ Use Standard form
□ Work out Negative Indices
□ Solve inequalities by algebra/graphical
□ Solve Simultaneous equations by graph/algebra
□ Match equations to graphs
□ Solve quadratics by factorizing, a =1
□ Solve equations, involving fractions
□ Expand brackets and simplify expressions
□ Use y=mx+c to find the gradient and equation without drawing
□ Solve a cubic/quadratic graphically (graph given)
□ Plot graphs
□ Cancel down algebraic fractions where denominator is an algebraic expression
□ Factorise various expressions, 6(a-b)² - 3(a-b)
□ Recognise Similar shapes
□ Use Trig in 2D
□ Describe transformations
□ Calculate Interior/Exterior angles of polygons
□ Draw Tree diagrams
□ Analyse data to compare with theoretical results
□ Draw box plots from cumulative frequency table
□ Interpret Median/IQR from cumulative frequency table/graph
Grade C means that I can…
□ Estimate calculations
□ Work out Compound interest, no rounding necessary
□ Use a Calculator
□ Multiply/divide by a number between 0 and 1
□ Use all operations on Fractions
□ Simplify and share in ratios
□ Calculate % decrease/increase
□ Multiply/divide by powers of 10 and decimals
□ Write a number as its Prime factors
□ Use the Rules of indices
□ Solve equations by Trial and improvement
□ Rearrangement of simple formulae
□ Solve equations 2x + 4 = 12 – 3x
□ Solve simple inequalities and represent on a number line
□ Expand brackets and simplify
□ Understand Real life graphs
□ Find the nth term of a number pattern
□ Find length of a line given 2 points
□ Substitute into complex formulae
□ Construct perpendicular bisector of a given line
□ Use Loci
□ Calculate Volumes
□ Circles, find the area & circumference given diameter
□ Describe and perform Transformations
□ Apply Pythagoras
□ Know the name and properties of Polygons
□ Work out Bearings
□ Draw a box plot
□ Calculate Moving averages
□ Calculate Mean/median from grouped data
□ Design questionnaires
□ Explain the use of mean, median, mode, etc
Grade D means that I can…
□ Understand Profit/loss
□ Work out using Simple proportion
□ Simplify Fractions
□ Use Ratios in recipes questions
□ Expand x(x+4)
□ Factorise x² - 5x, 12x – 8
□ Substitute negative numbers into algebraic expressions
□ Expand and simplify brackets and expressions
□ Solve equations, variable on each side, brackets involved
□ Convert units
□ Calculate the Area of triangles/compound shapes
□ Draw and measure bearings
□ Find the Midpoint of line given end co-ordinates
□ Draw and interpret Plans and elevations
□ Use Parallel lines and shapes linked with the same
□ Construct a stem and leaf diagram
□ Use Relative probability
□ Find missing probability from list/table of results
□ Draw and interpret a Scatter graph
□ Draw and use lines of best fit
□ Understand Correlation
□ Find the Mode from grouped frequencies
□ Find the Mean from a discrete frequency distribution
□ Explain defiencies in questionnaires/sampling techniques/practical techniques
Grade E means that I can…
□ Simplify ratios
□ Use my calculator, 1∙5³; square root of 23∙78
□ Round to 1 s.f.
□ Use Long multiplication/division, involving decimals
□ Work out % without calculator
□ Complete a Linear table and graph
□ Simplify simple algebra
□ Use a formula inversely, find x if y=3 in the formula y = 2x-1
□ Use Conversion graphs
□ Solve equations 3y + 2 = 8
□ Order fractions/decimals/percentages
□ Understand Indices/powers/roots, 4³, 2³ x 3², the cube of 4
□ Use the Four rules of negative numbers
□ Calculate VAT
□ Recognise Enlargements
□ Calculate Metric/Imperial conversions using known facts
□ Make simple volume calculations
□ Complete tessellations
□ Find the Area/Perimeter of rectangles/kites
□ Identify Planes of symmetry
□ Draw Nets of shapes
□ Make Accurate drawings/angles from given information
□ Interpret a stem and leaf diagram to find the median
□ Fill in and make Data collection sheets
□ Find probabilities from 2 way table
□ Probability of not = 1-n
□ Construct a pie chart
Grade F means that I can…
□ Find a Simple %/fraction of quantity
□ Use Bidmas
□ Round to d.p.
□ UnderstandPlace value
□ Recall Simple squares/cubes/roots
□ Understand Number factors
□ Convert %/fractions/decimals
□ Find the next terms in a linear sequence
□ Plot Co-ordinates in 4 quadrants
□ Use simple formula
□ Solve equations 5x = 25, x-2=6
□ Estimate lengths
□ Draw Simple scale drawings
□ Name/measure and draw angles
□ Recall the name of polygons
□ Draw lines of symmetry
□ Understand rotational symmetry
□ Know and use that angles on a straight line = 180
□ Count faces/edges/vertices
□ State simple probability
□ List all outcomes
□ Estimate probability from diagram/pie chart/table
□ Find range, also comparing two distributions
□ Find mean/mode
□ Use Bar charts to compare 2 sets of data
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