| Topic |
Resource |
Link |
File |
Type |
Description |
Level |
Updated |
ID |
** |
| C1 |
Optimisation |
https://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 |
https://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 |
https://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** |
https://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** |
https://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 |
https://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** |
https://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** |
https://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** |
https://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** |
https://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 |
https://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 |
https://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** |
https://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** |
https://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** |
https://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 |
https://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 |
https://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 |
https://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 |
https://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** |
https://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** |
https://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** |
https://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 |
https://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** |
https://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** |
https://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** |
https://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 |
https://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** |
https://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 |
https://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 |
https://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** |
https://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** |
https://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 |
https://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 |
https://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** |
https://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** |
https://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 |
https://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 |
https://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** |
https://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** |
https://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** |
https://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** |
https://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** |
https://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** |
https://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** |
https://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** |
https://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** |
https://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** |
https://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** |
https://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 |
https://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 |
https://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 |
https://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** |
https://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 |
https://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 |
https://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 |
https://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 |
https://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** |
https://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 |
https://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** |
https://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** |
https://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** |
https://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 |
https://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** |
https://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 |
https://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** |
https://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** |
https://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** |
https://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** |
https://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** |
https://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** |
https://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** |
https://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** |
https://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** |
https://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** |
https://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** |
https://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** |
https://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** |
https://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** |
https://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 |
https://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** |
https://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** |
https://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** |
https://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 |
https://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** |
https://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** |
https://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** |
https://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 |
https://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** |
https://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** |
https://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** |
https://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** |
https://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 |
https://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** |
https://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** |
https://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 |
https://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 |
https://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 |
https://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** |
https://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** |
https://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** |
https://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** |
https://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 |
https://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 |
|
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