Topic | Resource | Link | File | Type | Description | Level | Updated | ID | ||

C1 | Optimisation | http://www.thechalkface.net/resources/optimis | 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 | 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 | 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_Sur | 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_Sur | 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_a | 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/calculu | 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/notfor | 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_Ess | 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_t | 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 | 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.p | 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/geome | 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 | 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/currenc | 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/geome | 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 | 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/superm | 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_ | 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/optimis | 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_dru | 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/binomi | 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_rul | 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_Che | 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/notfor | 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_Ess | 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/Compo | 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/trigcircl | 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_tra | 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/trigono | 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 | 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 | 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_ | 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/numeri | 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/notfor | 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_Ess | 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/compo | 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. | 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 | 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_t | 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_Che | 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/notfor | 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_Ess | 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/langua | 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/langua | 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_ | 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/stoppin | 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_ | 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/slipper | 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_o | 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 | 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/Breakin | 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_ | 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/spider | 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/trebuc | 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_Fr | 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.pd | 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 | 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_Ch | 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_Ide | 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/notfor | 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_Ess | 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_M | 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 | 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_ | 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_j | 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_r | 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/geostat | 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_ | 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 | 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 | 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 | 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_t | 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_E | 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 | 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_ju | 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 | 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_ | 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 | 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_Ch | 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_Ide | 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/notfor | 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_Ess | 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/binomi | 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/Statisti | 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_l | 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/Numeri | 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_ | 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/notfor | 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/fibonac | 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/Compl | 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/Expone | 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_Mo | 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.p | 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_Ch | 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.xl | 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/primm | 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_t | 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/notfor | 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/mecha | 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/mecha | 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/mecha | 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/alevel | 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 |