AUTHOR

AQA MODULAR STUDENT CHECKLIST

(HIGHER)

Unit 1: Statistics and Number (26.7%) - Higher Calculator paper – 1 hour (54 marks)

Grade D

- Mean from a table.

- Modal class from grouped data.

- 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

Grade C

- Mean and median class for grouped data.

- Identify the strength of correlation and interpret the line of best fit.

- Identify bias in data collection and questionnaires.

- Probability to estimate outcomes.

Grade A

- Construct and interpret histograms with unequal widths.

- Use stratified sampling methods.

- Calculate probability for dependent and independent outcomes.

- Probability from tree diagrams of independent events.

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.

- Use relative frequency to find probabilities.

- Complete a probability tree diagram.

Grade A*

- Probability from tree diagrams of dependent events.

Topics also in Unit 2

- Rounding numbers to decimal places and significant figures.

- Finding the upper and lower bound of a number.

- Simplify fractions and find equivalent fractions.

- Convert between fractions, decimals and percentages and calculate with them.

- Interpret, order and calculate with numbers in standard form.

- Interpret ratio as a fraction and be able to simplify. Use ratio to solve statistical and number problems.

Unit 2: Number and Algebra (33.3%) - Higher Non- calculator paper – 1 hour 15 minutes (66 marks)

Grade C

- Find the Highest Common Factor (HCF) and Lowest Common Multiple (LCM) of two simple numbers.

- 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.

- Find upper and lower bounds of numbers.

- Expand and simplify harder expressions.

- Division of simple fractions.

- Adding, subtracting and multiplying mixed numbers.

- Use index laws for positive and negative powers.

- Convert between ordinary numbers and standard form and vice versa.

- Calculate percentage increase and decrease.

- 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.

Grade D

- Estimate answers involving division.

- 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.

- Calculate and recall square numbers, cube numbers, square roots and cube roots.

- Increase or decrease a quantity by a given percentage.

- Express one quantity as a percentage of another.

- Write the terms of a sequence given the nth term.

- Draw straight line graphs e.g. y = 2x + 3.

- Solve equations such as 2(5x+1) = 28

- Substitution of numbers into formulae.

Unit 2: Number and Algebra (33.3%) - Higher Non- calculator paper – 1 hour 15 minutes (66 marks)

Grade A

- Factorise harder quadratic expressions.

- Rationalise the denominator of a surd.

- Solve indices involving fractional powers such as 16^1/4.

- Solve direct and inverse proportion problems.

- Change the subject of formulae where the variable appears twice.

- Solve quadratic equations using the quadratic formula.

- Solve a pair of simultaneous equations where one is linear and one is non-linear e.g. y = 3x – 2 and y = x^2

Grade A*

- Simplify harder rational expressions.

- Simplify surds such as (3 – sqrt5)^2 in the form a + bsqrt5

-Solve indices involving fractional powers such as 16^3/4

-Solve equations such as 4/(x+2) + 3/(2x-1) = 2

- Write quadratic expressions in the form (x + a)^2 + b

- 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.

Grade B

- Find the Highest Common Factor (HCF) and Lowest Common Multiple (LCM) of larger numbers.

- Round to significant figures (s.f.).

- Expand and simplify quadratic expressions.

- Factorise quadratic expressions.

- Convert recurring decimals to fractions and vice versa.

- Calculate compound interest.

- Calculate reverse percentages.

- Calculate proportional changes.

- 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.

- Solve quadratic equations such as x^2-8x+15=0 by factorisation.

-Solve linear inequalities such as x + 13 > 5x -3

- Solve a set of linear inequalities and represent the solution as a region of a graph

- Solve a pair of linear simultaneous equations.

Unit 3: Geometry and Algebra (40%) - Higher Non- calculator paper – 1 hour 30 minutes (80 marks)

Grade D

- Find the area of a triangle, parallelogram, kite, trapezium and circle.

- Find the circumference of a circle.

- Calculate the area and perimeter of compound shapes.

-Draw straight line graphs e.g. y = 2x + 3

- 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

- Find the area and perimeter of a semi-circle.

- Volume of prisms and cylinders.

- Surface area of prisms and cylinders,

- Classify a quadrilateral by its properties.

- Calculate the interior and exterior angles of a regular polygon.

- 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.

- Translate a shape by a vector.

- Enlarge a shape by a fractional scale factor.

- Calculate complex average speeds from a distance-time graphs.

-Construct a perpendicular bisector, angle bisector and 60 degree angle.

- Finding the equation of straight line graphs.

- Pythagoras’ Theorem to calculate missing sides in right angles triangles.

- Solve loci problems.

-Graphs of harder quadratic functions e.g. x^2 – 2x + 1

Grade B

- 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.

- Finding upper and lower bounds for simple calculations.

- Solve a pair of linear simultaneous equations.

- Trigonometry to calculate missing sides and angles.

- Complete tables and draw graphs of cubic and reciprocal functions. Use them to solve equations.

- Find sides and angles of similar triangles.

- Find the distance between two points given their co-ordinates.

- Solve quadratic equations such as x^2-8x+15=0 by factorisation.

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.

Unit 3: Geometry and Algebra (40%) - Higher Non- calculator paper – 1 hour 30 minutes (80 marks)

Grade A

- Prove the angle properties of a circle.

- Use and prove the alternate segment theorem.

- Enlarge a shape by a negative scale factor.

- Compare areas and volumes of enlarged shapes.

- Calculate the upper and lower bounds of difficult calculations.

-Solve quadratic equations using the quadratic formula.

- Solve a pair of simultaneous equations where one is linear and one is non-linear e.g. y = 3x – 2 and y = x^2

- Sketch and draw trigonometric graphs.

- Use the sine and cosine rule to find missing sides and angles in any triangle.

- 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.

Grade A*

- Calculate the upper and lower bounds of complex calculations.

- Write quadratic expressions in the form (x + a)^2 + b

- 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.

- Use trigonometry to find sides and angles in three dimensions.

- Understand the graphs of trigonometric functions for angles of any size.

- Solve cubic equations by drawing appropriate lines on graphs.

- Plot and sketch graphs of exponential functions.

- Recognise the shapes of graphs of functions.

- 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).