TheChalkface.net

TheChalkface A-level Maths Resources

Topic Resource Link File Type Description Level Updated ID **
C1 Optimisation http://www.thechalkface.net/resources/optimisation.ppt ppt Problem A simple optimisation problem based on a quadratic (so it can be solved by sketching a curve or completing the square).   A-Level 08/06/10 277
C1 Jupiter's Moons 1 http://www.thechalkface.net/resources/jupiter.xls xls Activity Pupils have to produce a simplified astronomical model of the order of jupiter's moons and their equations of motion - requires circle equations.   A-Level 02/03/09 278
C1 Jupiter's Moons 2 http://www.thechalkface.net/resources/jupiter.ppt ppt Presentation To accompany the above activity - gives the solution equations.   A-Level 02/03/09 279
C1 Surds Investigation** http://www.thechalkface.net/resources/A4_Surds.pdf pdf Worksheet Beginning by proving why the ratio of an A4 sheet approximates to 1:√2, and moving on to a simple folding exercise which leads to a problem involving surds.  Includes multiplying brackets such as (1+√2) together.   A-Level 24/04/12 280
C1 Surds Investigation** http://www.thechalkface.net/resources/A4_Surds.ppt ppt Activity Accompanying PowerPoint - proving some results based on the ratio of A4 sheets.   A-Level 16/09/11 281
C1 Focus and Directrix http://www.thechalkface.net/resources/focus_and_directrix.xls xls Spreadsheet Shows a graph (and the equation) of the quadratic generated by a focus and directrix.  The focus and directrix can be altered and the graph of the parabola is automatically updated.   A-Level 03/02/11 282
C1 Introduction to Calculus** http://www.thechalkface.net/resources/calculus/index.htm htm Interactive demonstration For use when introducing calculus - using the intuitive understanding of differentiation as the gradient of a line.  Uses an embedded GeoGebra applet to allow modification.   A-Level 01/10/13 283
C1 C1 Not-Formula Book** http://www.thechalkface.net/resources/notformulabooks/C1_Not_Formula_Book.pdf pdf Booklet A helpful booklet detailing all the main facts, techniques and formulae that are required for the Core 1 exam, but not provided in the formula book.  Valuable for revision or as an additional resource during teaching of the module.   A-Level 05/04/13 284
C1 C1 Essentials** http://www.thechalkface.net/resources/C1_Essentials.pdf pdf Fact Cards Designed to fit on a single side of A4 (still readable when shrunk to A6 size as a pocket-sized revision card), this summarises all the key results, facts and formulae from the AQA Core 1 Mathematics module.  For more in-depth revision, see the C1 Not-Formula Book.   A-Level 04/06/14 285
C2 Graph Transformations** http://www.thechalkface.net/resources/graph_transformations.pdf pdf Investigation Designed for students to use at home, taking advantage of the graphical calculator function of Google search, to investigate the effect of various changes to a function.  Includes the four main transformations; translations and stretches in the x and y direction, with extension questions on reflections.   A-Level 08/02/14 286
C2 Money Matters http://www.thechalkface.net/resources/money_matters.pdf pdf Worksheet A problem involving arithmetic series.  One person's starting salary is lower but increases faster than that of another.  Calculate how long it will be till one salary overtakes the other, and - crucially - how long until total earnings are balanced.   A-Level 08/03/14 287
C2 Zeno's Paradoxes http://www.thechalkface.net/resources/zeno.pdf pdf Worksheet A description of the three main paradoxes of Zeno, by way of an introduction to infinite sums.  Can be used when beginning geometric series, and asks the student to refute the arguments.   A-Level 22/02/13 288
C2 Geometric Series** http://www.thechalkface.net/resources/geometric_series.pdf pdf Worksheet Introduction to the idea of summing to infinity using geometric series, with screenprints from Buffer (see below), followed by three examples of shapes created by an infinite iteration but with finite area and perimeter, to be found by applying geometric series formulae.   Also includes ball bouncing problem.   A-Level 05/04/13 289
C2 Buffer** http://www.thechalkface.net/resources/buffer.xls xls Interactive demonstration This is designed to illustrate the link between video buffering and geometric progressions.  An infinite sum can be more easily visualised in the context of a common phenomenon - customisable times and buffer delays.   A-Level 29/09/11 290
C2 Currency** http://www.thechalkface.net/resources/currency.pdf pdf Worksheet A look at currency conversion rates and how geometric series can be used to examine the effect of repeated buying and selling.  Uses the nth term formula and logarithms, but no knowledge of the sum or infinite sum formulae is required.   A-Level 05/04/13 291
C2 Geometric Management http://www.thechalkface.net/resources/geometric_management.pdf pdf Worksheet Somewhat far-fetched problem based around the combination of percentage increases and decreases, producing a maths problem requiring use of Geometric Series formulae as well as logarithms.  Includes solutions. A-Level 24/04/12 292
C2 Gender Balance http://www.thechalkface.net/resources/gender_balance.pdf pdf Worksheet Using the concept of geometric series to solve a theoretical problem about gender bias.  If families keep having kids until they have a son, then stop, what will the eventual proportions of boys and girls be?   A-Level 26/03/14 293
C2 Superman Bleep Test http://www.thechalkface.net/resources/superman_bleep_test.pdf pdf Hand-out Not an activity, just some musings into what it would be like if an unlimited athlete took a (suitably modified) bleep test.  Involves geometric series calculations and lots of comparitive speeds.   A-Level 07/09/13 294
C2 Baked Beans http://www.thechalkface.net/resources/baked_beans.ppt ppt Problem Why is a baked bean can that shape?  Assuming a cylindrical form is best, what dimensions are optimal for the best surface area to volume ratio?  This requires some basic calculus with negative indices. A-Level 20/01/10 295
C2 Optimisation** http://www.thechalkface.net/resources/optimisation.pdf pdf Worksheet Similar to the Baked Bean presentation, this is a worksheet that goes through the process of optimising the surface area to volume ratio for a cylinder.  Includes fully worked solutions.   A-Level 05/04/13 296
C2 Oil Drum Optimisation** http://www.thechalkface.net/resources/oil_drum_optimisation.pdf pdf Worksheet Using different values for the curved and flat surfaces of an oil drum, this worksheet calculates the optimal dimensions to minimise cost of materials.   A-Level 07/12/13 297
C2 Binomial Expansion** http://www.thechalkface.net/resources/binomial_expansion.xlsm xlsm Spreadsheet For expansions of the form (a + b)^c this will give the expansion to the x^10 term.  Deals with negative and fractional powers, too.  This is made in Excel 2007, and contains macros.   A-Level 28/09/12 298
C2 Log Rules http://www.thechalkface.net/resources/log_rules.pdf pdf Hand-out Revision-style sheet covering the basics of logarithms and their associated rules.   A-Level 01/12/11 299
C2 C2 Checklist** http://www.thechalkface.net/resources/C2_Checklist.pdf pdf Checklist A 2-page summary of the key skills required by the Core 2 module.  Listed under chapter headings, with space for students to indicate their level of understanding.  For use when revising and identifying areas of weakness.   A-Level 14/04/14 300
C2 C2 Not-Formula Book** http://www.thechalkface.net/resources/notformulabooks/C2_Not_Formula_Book.pdf pdf Booklet A helpful booklet detailing all the main facts, techniques and formulae that are required for the Core 2 exam, but not provided in the formula book.  Valuable for revision or as an additional resource during teaching of the module.   A-Level 05/04/13 301
C2 C2 Essentials** http://www.thechalkface.net/resources/C2_Essentials.pdf pdf Fact Cards Designed to fit on a single side of A4 (still readable when shrunk to A6 size as a pocket-sized revision card), this summarises all the key results, facts and formulae from the AQA Core 1 Mathematics module.  For more in-depth revision, see the C1 Not-Formula Book.   A-Level 04/06/14 302
C3 Compound Interest http://www.thechalkface.net/resources/Compound_Interest.pdf pdf Worksheet A step-by-step worksheet which leads you through the derivation of e (Euler's number) as the limit of a series.  Based on the concept of compound interest paid yearly, monthly, weekly, daily, etc, the number e gives a limit the overall income cannot exceed.   A-Level 27/06/14 303
C3 Trigonometry Circle** http://www.thechalkface.net/resources/trigcircle.htm htm Interactive demonstration A GeoGebra generated applet embedded in a web page - by changing the angle of a point on the unit circle, the ratios of sin, cos and tan are generated (and shown on a concurrent graph).   A-Level 22/06/13 304
C3 Trig Transformations http://www.thechalkface.net/resources/trig_transformations.xls xls Spreadsheet A graph of the trigonometric function y=sin(x), but with the option to modify elements of it to demonstrate common graph transformations.  y = a sin(bx + c) + d.   A-Level 22/06/13 305
C3 Trigonometric Equation http://www.thechalkface.net/resources/trigonometric_equation.pdf pdf Problem A trigonometry problem involving manipulation of sec cosec cot functions and solving a (simple) trig quadratic equation (requiring a modified solution range).  Good plenary question incorporating skills from trig identities and trig equations topics.   A-Level 28/06/13 306
C3 Europa** http://www.thechalkface.net/resources/europa.pdf pdf Worksheet An activity on the C3 topic of volumes of revolution.  The task is to calculate the volume of a dome built as a partial sphere.  Set on the most likely base of human extra-terrestrial settlement, Jupiter's moon Europa, the dome is to be a prototype home.  Includes solutions.   A-Level 24/04/12 307
C3 Jodrell Bank** http://www.thechalkface.net/resources/jodrell_bank.pdf pdf Worksheet Volumes of revolution question, involving some manipulation of functions and an element of problem solving - how much water would the Jodrell Bank satellite dish hold?  Includes solutions.   A-Level 24/11/12 308
C3 Dome Sweet Dome http://www.thechalkface.net/resources/Dome_Sweet_Dome.xls xls Teacher Tool Can be used as an accompaniment for Europa - is a useful calculator which utilizes formulae derived from Volumes of Revolution as well as some simple iterations on a cubic equation to calculate the volume for a given size of sphere-slice, or vice versa.   A-Level 25/09/12 309
C3 Numerical Integration http://www.thechalkface.net/resources/numerical_integration.xls xls Interactive demonstration Allows the user to input functions and have Excel calculate approximations using the Mid-Ordinate, Trapezium and Simpson's Rule, illustrating the difference between the three, and customisable for different limits and for different numbers of ordinates (up to 100 strips).   A-Level 24/09/12 310
C3 C3 Not-Formula Book** http://www.thechalkface.net/resources/notformulabooks/C3_Not_Formula_Book.pdf pdf Booklet A helpful booklet detailing all the main facts, techniques and formulae that are required for the Core 3 exam, but not provided in the formula book.  Valuable for revision or as an additional resource during teaching of the module.   A-Level 11/10/11 311
C3 C3 Essentials** http://www.thechalkface.net/resources/C3_Essentials.pdf pdf Fact Cards Designed to fit on a single side of A4 (still readable when shrunk to A6 size as a pocket-sized revision card), this summarises all the key results, facts and formulae from the AQA Core 1 Mathematics module.  For more in-depth revision, see the C1 Not-Formula Book.   A-Level 04/06/14 312
C4 Compound Angles Proof http://www.thechalkface.net/resources/compound_angles.xls xls Demonstration A brief illustration of the proof of the compound angle formula for cos(A-B).  A similar idea can be used to prove sin(A+B), etc.   A-Level 02/02/12 313
C4 Exponential Rabbits http://www.thechalkface.net/resources/rabbits.pdf pdf Worksheet A series of questions on exponential growth and decay, on the subject of the rabbit population of Australia.   A-Level 09/03/12 314
C4 Carbon Dating** http://www.thechalkface.net/resources/carbon_dating.pdf pdf Worksheet Based on the Otzi man discovered preserved by a glacier, this worksheet uses the principle of exponential decay to investigate the concept of carbon dating.   A-Level 07/12/13 315
C4 Over The Moon** http://www.thechalkface.net/resources/over_the_moon.pdf pdf Worksheet A population prediction based on the UK colonizing the Moon, using principles from exponential growth.   A-Level 07/12/13 316
C4 C4 Checklist** http://www.thechalkface.net/resources/C4_Checklist.pdf pdf Checklist A 2-page summary of the key skills required by the Core 4 module.  Listed under chapter headings, with space for students to indicate their level of understanding.  For use when revising and identifying areas of weakness.   A-Level 05/03/14 317
C4 C4 Not-Formula Book** http://www.thechalkface.net/resources/notformulabooks/C4_Not_Formula_Book.pdf pdf Booklet A helpful booklet detailing all the main facts, techniques and formulae that are required for the Core 4 exam, but not provided in the formula book.  Valuable for revision or as an additional resource during teaching of the module.   A-Level 11/06/12 318
C4 C4 Essentials** http://www.thechalkface.net/resources/C4_Essentials.pdf pdf Fact Cards Designed to fit on a single side of A4 (still readable when shrunk to A6 size as a pocket-sized revision card), this summarises all the key results, facts and formulae from the AQA Core 4 Mathematics module.  For more in-depth revision, see the C4 Not-Formula Book.   A-Level 13/06/14 319
M1 Language of Maths** http://www.thechalkface.net/resources/language_of_maths.ppt ppt Quiz This PowerPoint quiz encourages students to recognise and interpret the specialist vocabulary of the Maths Mechanics classroom.  Common phrases and sayings are converted into Mechanics-speak and the students have to guess the phrase.   A-Level 06/09/12 320
M1 Language of Maths** http://www.thechalkface.net/resources/language_of_maths.pdf pdf Worksheet Alternative to the above quiz - this is a worksheet that can be used to help students identify Mechanics lingo.  Common phrases and sayings need to be matched up with their Mechanics-speak versions.   A-Level 21/06/11 321
M1 SUVAT Equations** http://www.thechalkface.net/resources/suvat_equations.xls xls Spreadsheet The kinematic equations of motion for constant acceleration.  Enter the known quantities for initial and final speed, distance, time and acceleration, and have this calculator work out the rest.   A-Level 27/12/10 322
M1 Stopping Distances** http://www.thechalkface.net/resources/stopping_distances.pdf pdf Worksheet Using the kinematic (SUVAT) equations, students calculate stopping distances for cars travelling at slightly different speeds, then investigate a scenario involving a motorway crash.  Uses the deceleration rate used in calculations by the Highway Code and takes into account thinking and braking distances.   A-Level 07/09/13 323
M1 Space Jump** http://www.thechalkface.net/resources/Space_Jump.pdf pdf Worksheet A series of questions requiring use of kinematics SUVAT equations, number-crunching the Red Bull Stratos space jump by Felix Baumgartner.  Includes extension question set on the moon (where parachutes do little good).  Full solutions included.   A-Level 18/10/12 324
M1 Slippery Slope** http://www.thechalkface.net/resources/slippery_slope.pdf pdf Worksheet Based on the story of Touching the Void, this worksheet requires construction of accurate force diagrams, resolving of forces on a slope including friction and tension in a rope.   A-Level 27/10/12 325
M1 Hold On http://www.thechalkface.net/resources/hold_on.pdf pdf Worksheet An application of SUVAT equations, this task investigates how much you could slow down a falling object that was too heavy to hold, and how much extra time you could buy for yourself.  Includes solutions.   A-Level 26/06/12 326
M1 Falling Problem http://www.thechalkface.net/resources/Falling_Problem.pdf pdf Worksheet A pulleys question involving particles moving vertically.  By resolving forces and using F=ma, followed by simultaneous equations, the resulting acceleration can be found for the various stages of motion, and SUVAT equations are used to find final velocity and time.   A-Level 15/12/12 327
M1 Breaking Strain http://www.thechalkface.net/resources/Breaking_Strain.pdf pdf Worksheet One Land Rover pulling another over a peak.  A problem involving pulleys and particles on inclined planes requiring resolving of forces and solving simultaneous equations to find out if a cable can take the strain.   A-Level 15/12/12 328
M1 Heave Ho** http://www.thechalkface.net/resources/heave_ho.pdf pdf Worksheet Applying knowledge of projectile motion using 2D kinematics formulae to heaving lines on board ship.  Students are required to calculate horizontal range when starting and finishing height are different.   A-Level 21/01/13 329
M1 Spiderman Projectiles http://www.thechalkface.net/resources/spiderman.pdf pdf Problem A somewhat complex projectiles problem for Mechanics module M1, involving MJ falling from a balcony and Spiderman jumping after her from a nearby building.  We suspect that being caught after such a fall would have an effect as devastating as a pavement, but that's cartoons for you.   A-Level 14/11/11 330
M1 Trebuchet Projectiles http://www.thechalkface.net/resources/trebuchet_projectiles.pdf pdf Worksheet Questions involving the Warwick Castle trebuchet.  Find the range given the speed, the speed given the range and finally the angle given both the speed and the range (this last involves the sine double angle formula, but this is included in the question).  Includes full solutions.   A-Level 26/04/14 331
M1 Lord Franklin Vectors http://www.thechalkface.net/resources/Lord_Franklin_Vectors.pdf pdf Worksheet A question involving the two ships of Lord Franklin's famed attempt to chart the Northwest Passage.  2-D vectors, involves minimising a quadratic to find the closest distance between the ships.  Includes solutions.   A-Level 24/04/12 332
M1 Zorb http://www.thechalkface.net/resources/zorb.pdf pdf Worksheet An involved problem which incorporates elements of each of the chapters from the M1 textbook.  The theme revolves around Zorbing.  Includes solutions.   A-Level 28/04/11 333
M1 Weight and Mass** http://www.thechalkface.net/resources/Weight_and_Mass.pdf pdf Fact Cards Detailed explanation and clarification on the differences between weight and mass, addressing the common misconceptions held by many as a result of the two being used interchangeably outside the scientific community.   A-Level 06/05/13 334
M1 M1 Checklist http://www.thechalkface.net/resources/M1_Checklist.pdf pdf Checklist A 2-page summary of the key skills required by the Mechanics 1 module.  Listed under chapter headings, with space for students to indicate their level of understanding.  For use when revising and identifying areas of weakness.   A-Level 14/02/13 335
M1 M1 Ideas Test** http://www.thechalkface.net/resources/M1_Ideas_Test.pdf pdf Test A test with no calculations or working out - these 20 questions (with attached solutions) are designed to make sure students have understood the key concepts, and to make them dig a little deeper into how well they understand the rules and formulae they apply.   A-Level 06/05/13 336
M1 M1 Not-Formula Book** http://www.thechalkface.net/resources/notformulabooks/M1_Not_Formula_Book.pdf pdf Booklet A helpful booklet detailing all the main facts, techniques and formulae that are required for the Mechanics 1 exam, but not provided in the formula book.  Valuable for revision or as an additional resource during teaching of the module.   A-Level 08/12/12 337
M1 M1 Essentials** http://www.thechalkface.net/resources/M1_Essentials.pdf pdf Fact Cards Designed to fit on a single side of A4 (still readable when shrunk to A6 size as a pocket-sized revision card), this summarises all the key results, facts and formulae from the AQA Mechanics 1 Mathematics module.  For more in-depth revision, see the M1 Not-Formula Book.   A-Level 27/06/14 338
M2 Sofa Moments http://www.thechalkface.net/resources/Sofa_Moments.pdf pdf Worksheet When you're carrying a sofa with someone, what do we mean by "I've got the heavy end"?  The weight doesn't change, and it's not even a different distance from either end.  This worksheet can be used to accompany a teaching point about moments and how we can use them to understand the forces being applied in this situation.   A-Level 06/05/13 339
M2 Sleeper Moment** http://www.thechalkface.net/resources/sleeper_moment.pdf pdf Worksheet Requires the student to annotate a diagram with forces based on a photograph of a real situation, and, using resolving of forces and taking moments, to calculate unknown forces as well as finding the coefficient of friction.  Based on building a house out of railway sleepers.   A-Level 07/09/13 340
M2 Centre of Mass http://www.thechalkface.net/resources/centre_of_mass.xls xls Spreadsheet A useful calculator for compound centre of mass problems.  Currently allows the user to calculate the combined centre of mass of a uniform lamina made of up to 10 triangles, or a convex polygon of up to 100 sides.   A-Level 13/10/12 341
M2 Space Jump Energy** http://www.thechalkface.net/resources/space_jump_energy.pdf pdf Worksheet An alternate version of the Space Jump worksheet, examining the Felix Baumgartner jump from 128000 feet using kinetic energy, gravitational potential and work done.   A-Level 05/11/12 342
M2 Going Round** http://www.thechalkface.net/resources/going_round.pdf pdf Worksheet Introduction to circular motion using the idea of angular speed.  The Earth travels around the Sun at a faster speed, but at a slower angular speed than the Moon goes around the Earth.   A-Level 07/12/13 343
M2 Geostationary Orbit** http://www.thechalkface.net/resources/geostationary_orbit.pdf pdf Worksheet Using some basic formulae from the start of horizontal circular motion, we calculate the required altitude for a geostationary orbit.  Gravitational force formula provided, so the only requirements are calculating speed, angular speed, and using F=ma.   A-Level 21/01/13 344
M2 Round The Bend** http://www.thechalkface.net/resources/round_the_bend.pdf pdf Worksheet Questions involving horizontal circular motion in the context of banked curves on roads and racetracks, and the part friction plays in maintaining motion in a circle.   A-Level 14/01/13 345
M2 Up The Wall** http://www.thechalkface.net/resources/up_the_wall.pdf pdf Worksheet A challenging activity on the application of horizontal circles in M2.  Based on the concept of the motorcycle daredevil display on a circular vertical wall.  Why does the driver not fall down?  What is the minimum speed necessary?  How does friction affect it?   A-Level 14/01/13 346
M2 Banked Curve Calculator** http://www.thechalkface.net/resources/banked_curve_calculator.xls xls Interactive demonstration Accompanying spreadsheet to Round The Bend and Up The Wall.  To be used either in setting questions or in an interactive investigation.  Allows the user to change conditions on banked curves (including wall of death scenarios) and observe the effects on horizontal circular motion.   A-Level 14/01/13 347
M2 Vertical Circles Info** http://www.thechalkface.net/resources/vertical_circles.pdf pdf Fact Cards Details of the difference in approach between the three main types of vertical circular motion scenarios - inner circles (ball on string, car in loop-the-loop track), outer circles (car cresting hill, object rolling off a sphere) and fixed circles (bead on a wire, roller-coaster attached to track).   A-Level 24/05/12 348
M2 Loop the Loop** http://www.thechalkface.net/resources/loop_the_loop.pdf pdf Worksheet Based on the Fifth Gear / Dunlop loop the loop stunt using a normal car and a 12m diamter loop of track.  Asks questions involving minimum speeds and maximum normal reactions - the two main concerns of the stunt team setting up the stunt.   A-Level 12/05/14 349
M2 Nerf Energy** http://www.thechalkface.net/resources/Nerf_Energy.pdf pdf Problem A problem combining projectile motion and elastic potential energy, based around the popular foam-dart 'Nerf' guns.   A-Level 31/05/12 350
M2 Bungee Calculator** http://www.thechalkface.net/resources/bungee.xls xls Interactive demonstration Input the natural length and modulus of elasticity for a bungee rope, and the mass of the jumper, and not only does this calculator tell you how far down you would go, but gives you the maximum speed and acceleration, as well as allowing you to analyse the energy transfer and velocity at any given point along the way.   A-Level 09/03/13 351
M2 Dam Jumpers** http://www.thechalkface.net/resources/dam_jumpers.pdf pdf Worksheet A worksheet based around the Verzasca dam bungee jump from GoldenEye.  Requires the use of elastic potential energy.  Includes fully worked solutions.   A-Level 01/10/13 352
M2 Bungee Energy** http://www.thechalkface.net/resources/bungee_energy.pdf pdf Fact Cards Details of the amount and type of energy a bungee jumper has at different points in the jump.  Energy is transferred from gravitational potential to kinetic initially, then to kinetic and elastic potential, then from gravitational and kinetic to elastic.  Also includes details of speed and acceleration at key points.   A-Level 12/04/14 353
M2 Rolling Projectiles** http://www.thechalkface.net/resources/rolling_projectiles.pdf pdf Problem A tricky problem beginning with vertical circles and circular motion (a small sphere rolling off a larger one), and extending it to determine, through projectile motion (M1 material, but very algebraic) where the small sphere will eventually land.   A-Level 09/06/12 354
M2 Beetle Drop** http://www.thechalkface.net/resources/beetle_drop.pdf pdf Worksheet Based on the Top Gear race between a VW Beetle and a Porsche 911, where the Beetle starts 1 mile above the finish line, this problem starts with straightforward kinematics and then energy considerations, then introduces differential equations to take into account air resistance.   A-Level 09/03/13 355
M2 M2 Checklist http://www.thechalkface.net/resources/M2_Checklist.pdf pdf Checklist A 2-page summary of the key skills required by the Mechanics 2 module.  Listed under chapter headings, with space for students to indicate their level of understanding.  For use when revising and identifying areas of weakness.   A-Level 18/06/13 356
M2 M2 Ideas Test** http://www.thechalkface.net/resources/M2_Ideas_Test.pdf pdf Test A test with no calculations or working out - these 16 questions (with attached solutions) are designed to make sure students have understood the key concepts, and to make them dig a little deeper into how well they understand the rules and formulae they apply.   A-Level 18/06/13 357
M2 M2 Not-Formula Book** http://www.thechalkface.net/resources/notformulabooks/M2_Not_Formula_Book.pdf pdf Booklet A helpful booklet detailing all the main facts, techniques and formulae that are required for the Mechanics 2 exam, but not provided in the formula book.  Valuable for revision or as an additional resource during teaching of the module.   A-Level 12/06/12 358
M2 M2 Essentials** http://www.thechalkface.net/resources/M2_Essentials.pdf pdf Fact Cards Designed to fit on a single side of A4 (still readable when shrunk to A6 size as a pocket-sized revision card), this summarises all the key results, facts and formulae from the AQA Mechanics 2 Mathematics module.  For more in-depth revision, see the M2 Not-Formula Book.   A-Level 27/06/14 359
S1 Binomial Calculator http://www.thechalkface.net/resources/binomial_calculator.xlsx xlsx Spreadsheet Taking advantage of the built-in binomial calculator of Microsoft Excel, this is a useful tool for checking solutions or quickly finding answers when dealing with the binomial distribution.  Includes cumulative, avoiding the need for statistical tables.   A-Level 08/02/14 360
S1 Statistical Distribution Calculator** http://www.thechalkface.net/resources/Statistical_Distribution_Calculator.xls xls Spreadsheet Makes use of Excel's built-in statistical functions to calculate values from the normal and binomial distributions.  Gives values as found in the statistical tables as well as more precise values so it can be used to check answers using tables.  Includes inverse normal (percentage points) and cumulative binomial.   A-Level 05/03/14 361
FP1 Linear Laws Damping** http://www.thechalkface.net/resources/linear_laws_damping.pdf pdf Worksheet Uses real results from a Physics damped oscillation experiment and requires students to convert an exponential curve to a linear function in order to estimate constants involved.   A-Level 16/02/12 362
FP1 Numerical Methods Gun Running** http://www.thechalkface.net/resources/Numerical_Methods_Gun_Running.pdf pdf Fact Cards Explanation of the three key numerical methods, along with analogies to USA-Mexico gun-runners.   A-Level 21/05/12 363
FP1 Matrix Transformations http://www.thechalkface.net/resources/matrix_transformations.pdf pdf Fact Cards Details of some of the basic 2 by 2 transformation matrices, along with brief details of how they work.  Includes reflections in the axes and lines y=x and y=-x as well as 90 and 180 degree rotations about the origin.   A-Level 05/03/14 364
FP1 FP1 Not-Formula Book** http://www.thechalkface.net/resources/notformulabooks/FP1_Not_Formula_Book.pdf pdf Booklet A helpful booklet detailing all the main facts, techniques and formulae that are required for the Further Pure 1 exam, but not provided in the formula book.  Valuable for revision or as an additional resource during teaching of the module.   A-Level 10/01/12 365
FP2 Fibonacci nth term** http://www.thechalkface.net/resources/fibonacci_nth_term.pdf pdf Worksheet Applying proof by induction to the nth term of the Fibonacci sequence.  Involves square rooting a surd, but walks you through the process.  Includes solutions.   A-Level 08/02/14 366
FP2 Complex Number Forms** http://www.thechalkface.net/resources/Complex_Number_Forms.xls xls Teacher Tool Converts from rectangular (a+bi) form to polar and exponential form.  Also gives the rectangular form for a given value of the modulus and argument of a complex number.  Includes a small Argand diagram to illustrate the number on the complex plane.   A-Level 15/12/12 367
FP2 Exponental Form** http://www.thechalkface.net/resources/Exponental_Form.pdf pdf Worksheet An introduction to Euler's Formula and Euler's Identity.  Precursors: basic complex number theory and familiarity with the polar form.  Maclaurin's series is introduced for the proof, but a prior knowledge is not required.   A-Level 15/12/12 368
FP2 De Moivre Trig http://www.thechalkface.net/resources/De_Moivre_Trig.pdf pdf Fact Cards Explanation - with key results - of the method behind turning powers of trig functions (sine and cosine) into expressions involving just multiple angles and vice versa.  One of the applications of De Moivre's theorem, this sheet also includes examples of the identities up to the sixth power.   A-Level 14/02/13 369
FP2 i to i** http://www.thechalkface.net/resources/i_to_i.pdf pdf Worksheet Applying the exponential form of a complex number to the problem of powers involving complex numbers.  Includes solutions.   A-Level 08/02/14 370
FP2 FP2 Checklist** http://www.thechalkface.net/resources/FP2_Checklist.pdf pdf Checklist A 2-page summary of the key skills required by the Further Pure 2 module.  Listed under chapter headings, with space for students to indicate their level of understanding.  For use when revising and identifying areas of weakness.   A-Level 15/05/14 371
D1 Prim's Algorithm http://www.thechalkface.net/resources/prim.xlsx xlsx Interactive demonstration This step-by-step demonstration shows the method for applying Prim's algorithm to a matrix (module D1).  By clicking through with the arrow, each stage of the algorithm is illustrated.  The sheet can be printed out for students to follow along.   A-Level 26/01/12 372
D1 Prim in the UK http://www.thechalkface.net/resources/primmatrix.pdf pdf Worksheet A (correct) table of driving distances between major English and Welsh cities.  Includes a map.  Designed to be used with Prim's algorithm for matrices to find a minimum spanning tree.   A-Level 24/04/12 373
D1 Ticket To Ride http://www.thechalkface.net/resources/ticket_to_ride.pdf pdf Worksheet Based on the excellent board game, Ticket to Ride Europe, this is a worksheet on graph theory, requiring the application of Minimum Spanning Tree algorithms and Dijkstra's algorithm.  Includes comprehensive solutions.   A-Level 24/04/12 374
D1 D1 Not-Formula Book** http://www.thechalkface.net/resources/notformulabooks/D1_Not_Formula_Book.pdf pdf Booklet A helpful booklet detailing all the main facts, techniques and formulae that are required for the Decision 1 exam, but not provided in the formula book.  Valuable for revision or as an additional resource during teaching of the module.   A-Level 10/03/12 375
Other Mechanical Reasoning** http://www.thechalkface.net/resources/mechanicalreasoning.pdf pdf Test 60 questions taken from a graduate psychometric test designed to measure mechanical reasoning, including spatial awareness as well as understanding of some fundamental mechanical laws.  These are often linked to the fundamental elements of various types of machinery.   A-Level 21/09/11 376
Other Mechanical Reasoning Answers** http://www.thechalkface.net/resources/mechanicalreasoninganswers.pdf pdf Test Solutions to the Mechanical Reasoning test above - Answers to the multiple choice questions as well as explanations (intended to be thorough, but not overly technical).   A-Level 17/09/11 377
Other Mechanical Reasoning Answers** http://www.thechalkface.net/resources/mechanicalreasoning.ppt ppt Quiz Identical to the Mechanical Reasoning test above, but as a PowerPoint presentation.  For Answers see Mechanical Reasoning Answers.   A-Level 22/09/11 378
Other A-level Week http://www.thechalkface.net/resources/alevelweek.pdf pdf Booklet Booklet of A-level topics - a taster for pre-A-level students to give them an idea of the material - covers circle geometry, kinematics and binomial theorem. A-Level 18/03/11 391