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AQA MODULAR STUDENT CHECKLIST
(HIGHER)
AUTHOR
Unit 1: Statistics and Number (26.7%) - Higher
Calculator paper – 1 hour (54 marks)
Grade D
Grade C
- Mean from a table.
- Mean and median class for grouped data.
- Modal class from grouped data.
- Identify the strength of correlation and interpret the
line of best fit.
- Construct an ordered stem and leaf diagram.
- Interpret a time-series graph.
- Draw and interpret a scatter graph. Be able to draw a
line of best fit.
- Design and use data collection sheets and
questionnaires.
- Probability from a two- way table. Know that mutually
exclusive events add up to 1.
- Construct a frequency polygon
- Identify bias in data collection and questionnaires.
- Probability to estimate outcomes.
Grade B
- Construct a time series graph and plot moving average.
Use a trend line to estimate other values.
- Construct and interpret a cumulative frequency diagram.
- Use a cumulative frequency diagram to estimate the
median and interquartile range.
- Construct compare and interpret box and whisker plots.
Topics also in Unit 2
- Use relative frequency to find probabilities.
- Complete a probability tree diagram.
- Rounding numbers to decimal places and significant figures.
- Finding the upper and lower bound of a number.
Grade A
- Simplify fractions and find equivalent fractions.
- Convert between fractions, decimals and percentages and calculate with
them.
- Construct and interpret histograms with unequal widths.
- Use stratified sampling methods.
- Interpret, order and calculate with numbers in standard form.
- Calculate probability for dependent and independent outcomes.
- Interpret ratio as a fraction and be able to simplify. Use ratio to solve
statistical and number problems.
- Probability from tree diagrams of independent events.
Grade A*
- Probability from tree diagrams of dependent events.
Unit 2: Number and Algebra (33.3%) - Higher
Non- calculator paper – 1 hour 15 minutes (66 marks)
Grade D
Grade C
- Estimate answers involving division.
- Find the Highest Common Factor (HCF) and Lowest
Common Multiple (LCM) of two simple numbers.
- Multiply out simple brackets.
- Factorise simple expressions.
- Multiply two decimals such as 2.4 x 0.7
- Convert fractions to decimals and vice versa.
- Add, subtract and multiply simple fractions.
- Find the reciprocal of a number.
- Recognise prime numbers and write a number as a
product of prime factors.
- Estimate answers to division by numbers less than 1.
Also divide numbers by a decimal.
- Calculate and recall square numbers, cube numbers,
square roots and cube roots.
- Find upper and lower bounds of numbers.
- Increase or decrease a quantity by a given percentage.
- Division of simple fractions.
- Express one quantity as a percentage of another.
- Adding, subtracting and multiplying mixed numbers.
- Write the terms of a sequence given the nth term.
- Use index laws for positive and negative powers.
- Draw straight line graphs e.g. y = 2x + 3.
- Solve equations such as 2(5x+1) = 28
- Convert between ordinary numbers and standard form
and vice versa.
- Substitution of numbers into formulae.
- Calculate percentage increase and decrease.
- Expand and simplify harder expressions.
- Sharing amounts into ratios.
- Solving proportion problems.
- Find the nth term of a sequence.
- Find the midpoint of a line segment.
- Use and understand co-ordinates in 3D.
- Solve equations such as 3x – 4 = 2(x – 5) or (7-x)/3 = 2
- Changing the subject of linear formulae.
- Solve linear inequalities with a variable on one side.
Unit 2: Number and Algebra (33.3%) - Higher
Non- calculator paper – 1 hour 15 minutes (66 marks)
Grade B
Grade A
- Find the Highest Common Factor (HCF) and Lowest
Common Multiple (LCM) of larger numbers.
- Factorise harder quadratic expressions.
- Round to significant figures (s.f.).
- Solve indices involving fractional powers such as 16^1/4.
- Expand and simplify quadratic expressions.
- Solve direct and inverse proportion problems.
- Factorise quadratic expressions.
- Convert recurring decimals to fractions and vice versa.
- Change the subject of formulae where the variable appears
twice.
- Calculate compound interest.
- Solve quadratic equations using the quadratic formula.
- Calculate reverse percentages.
- Solve a pair of simultaneous equations where one is linear
and one is non-linear e.g. y = 3x – 2 and y = x^2
- Calculate proportional changes.
- Rationalise the denominator of a surd.
- Solve standard form problems.
- Solve equations such as (2x-1)/6 + (x+3)/3 = 5/2.
- Changing the subject of formulae that include
brackets, fractions and square roots.
Grade A*
- Solve quadratic equations such as x^2-8x+15=0 by
factorisation.
- Simplify harder rational expressions.
-Solve linear inequalities such as x + 13 > 5x -3
- Simplify surds such as (3 – sqrt5)^2 in the form a + bsqrt5
- Solve a set of linear inequalities and represent the
solution as a region of a graph
-Solve indices involving fractional powers such as 16^3/4
- Solve a pair of linear simultaneous equations.
- Write quadratic expressions in the form (x + a)^2 + b
-Solve equations such as 4/(x+2) + 3/(2x-1) = 2
- Complete the square to solve equations and find the maximum and
minimum values.
- Solve simultaneous equations such as x + 5y=13 and x^2 + y^2 = 13.
Unit 3: Geometry and Algebra (40%) - Higher
Non- calculator paper – 1 hour 30 minutes (80 marks)
Grade D
Grade C
- Find the area of a triangle, parallelogram, kite,
trapezium and circle.
- Find the area and perimeter of a semi-circle.
- Find the circumference of a circle.
- Volume of prisms and cylinders.
- Surface area of prisms and cylinders,
- Calculate the area and perimeter of
compound shapes.
- Classify a quadrilateral by its properties.
-Draw straight line graphs e.g. y = 2x + 3
- Calculate the interior and exterior angles of a
regular polygon.
- Solve equations such as 2(5x+1) = 28
- Reflect shapes in lines such as x=2 or y=-1
- Rotate shapes about the origin.
- Describe fully reflections and rotations about
the origin.
- Enlarge a shape by a positive scale factor.
- Use trial and improvement to solve equations.
- Calculate average speeds from distance-time
graphs.
- Substitution of numbers into formulae.
- Draw a kite or parallelogram with given
measurements.
- Construct and recognise the nets of 3D solids.
- Plans and elevations of 3D solids.
- Draw graphs of simple quadratic functions
e.g. y = 3x^2 and y = x^2 + 4
Grade C cont.
- Approximate solutions of quadratic equations
and find points of intersection of quadratic
graphs with lines.
- Interpret maps and scale drawings and use
bearings.
Grade B
- Find the midpoint of a line segment.
- Use and understand co-ordinates in 3D.
- Solve equations such as 3x – 4 = 2(x – 5) or
(7-x)/3 = 2
- Reflect shapes in y = x and y = -x
- Rotate shapes about any point.
- Fully describe transformations.
- Solve equations such as (2x-1)/6 + (x+3)/3 =
5/2.
- Apply circle theorems to find missing angles.
- Dimensional analysis for perimeter, area and
volume.
- Interpret graphs modelling real situations.
- Translate a shape by a vector.
- Finding upper and lower bounds for simple
calculations.
- Enlarge a shape by a fractional scale factor.
- Solve a pair of linear simultaneous equations.
- Calculate complex average speeds from a
distance-time graphs.
- Trigonometry to calculate missing sides and
angles.
-Construct a perpendicular bisector, angle
bisector and 60 degree angle.
- Complete tables and draw graphs of cubic
and reciprocal functions. Use them to solve
equations.
- Finding the equation of straight line graphs.
- Pythagoras’ Theorem to calculate missing
sides in right angles triangles.
- Find sides and angles of similar triangles.
- Solve loci problems.
- Find the distance between two points given
their co-ordinates.
-Graphs of harder quadratic functions e.g. x^2
– 2x + 1
- Solve quadratic equations such as x^28x+15=0 by factorisation.
Unit 3: Geometry and Algebra (40%) - Higher
Non- calculator paper – 1 hour 30 minutes (80 marks)
Grade A
Grade A*
- Prove the angle properties of a circle.
- Calculate the upper and lower bounds of complex calculations.
- Use and prove the alternate segment theorem.
- Write quadratic expressions in the form (x + a)^2 + b
- Enlarge a shape by a negative scale factor.
- Compare areas and volumes of enlarged shapes.
- Complete the square to solve equations and find the maximum and
minimum values.
- Calculate the upper and lower bounds of difficult calculations.
- Solve simultaneous equations such as x + 5y=13 and x^2 + y^2 = 13.
-Solve quadratic equations using the quadratic formula.
- Use trigonometry to find sides and angles in three dimensions.
- Solve a pair of simultaneous equations where one is linear and
one is non-linear e.g. y = 3x – 2 and y = x^2
- Understand the graphs of trigonometric functions for angles of any size.
- Sketch and draw trigonometric graphs.
- Plot and sketch graphs of exponential functions.
- Use the sine and cosine rule to find missing sides and angles in
any triangle.
- Recognise the shapes of graphs of functions.
- Use the formula for the area of a non-right angled triangle.
- Add, subtract and multiply vectors.
- Find the area of a 2D shape given the area of a similar shape and
the ratio.
- Find the volume of a 3D solid given the volume of a similar solid
and the ratio.
- Solve simultaneous equations graphically such as y = 2x – 1 and
x^2 + y^2 = 25
- Use points of intersection of a quadratic and linear graphs to
solve equations like x^2 -2x -4 = 2x+1.
- Solve cubic equations by drawing appropriate lines on graphs.
- Solve difficult vector geometry problems.
- Solve equations such as 4/(x+2) + 3/(2x-1) = 2
- Transform graphs of linear, quadratic, cubic, sine and cosine functions
using the transformations y = f(x) + a, y = f(x+a), y = af(x) and y = f(ax).