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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