# resources

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Number          Digit Order                       http://www.t xls      Activity
hechalkface.n
et/resources/
digit_order.xls

Number       Grid Multiplication

Number      Times Table Drill**

Number       Number Pyramids 1
http://www.thechalkface.net/resources/number_pyramids.ppt ppt                          Presentation

Number      Number Pyramids 2

Number      Number Square
http://www.thechalkface.net/resources/number_square.xls xls                         Game
game

Number     BODMAS Bank
http://www.thechalkface.net/resources/bank_robbery.ppt ppt                        Presentation
Robbery
Number     BODMAS video**
http://www.thechalkface.net/videos/bodmas.wmv wmv                          Video

Number      Powers of 10
http://www.thechalkface.net/resources/powers_of_10.ppt ppt                        Presentation

Number     Negative Drill

Number       Negative
http://www.thechalkface.net/resources/negative_temperature.xls xls                       Worksheet
Temperature
Number       Multiplication Table

Number       Countdown            http://www.t     xls    Game
hechalkface.n
et/resources/
countdown.xl
s
Number       Splitting the
http://www.thechalkface.net/resources/splitting_the_number.ppt      ppt    Presentation
Number**
Number       Tables Patterns**     http://www.t     xls    Interactive demonstration
hechalkface.n
et/resources/
tables_patter
ns.xls
Number       Tables Patterns**     http://www.t     pdf    Hand-out
hechalkface.n
et/resources/
tables_patter
ns.pdf
Number       Prime Venn
diagram**

Number       Prime Factorisation** http://www.t xls       Spreadsheet
hechalkface.n
et/resources/
primes.xlsx

Number      Displaying Fractions
http://www.thechalkface.net/resources/displaying_fractions.ppt ppt        Presentation

Number       Ordering Fractions    http://www.t xls       Interactive demonstration
hechalkface.n
et/resources/
ordering_frac
tions.xls

Number       Fractions of
http://www.thechalkface.net/resources/fractions_of_amounts.ppt ppt         Presentation
Amounts
Number       Fractions of
http://www.thechalkface.net/resources/fractions_dice_bingo.xls xls        Activity
Amounts Dice Bingo
Number      Introducing
p://www.thechalkface.net/resources/introducing_percentages.ppt ppt      Presentation
Percentages

Number      Percentages
p://www.thechalkface.net/resources/percentage_intro_change.ppt ppt      Presentation
Introduction & %
change
Number      Post-its
http://www.thechalkface.net/resources/post-its.ppt ppt      Problem

Number       Fractions
http://www.thechalkface.net/resources/fractions_consolidation.xls xls   Hand-out
Consolidation

Number      Introducing Ratio
http://www.thechalkface.net/resources/introducing_ratio.ppt ppt    Presentation

Number      Ratio Recipes

Number    Gears
http://www.thechalkface.net/resources/gears.ppt ppt     Presentation

Number      Gears embedded
http://www.thechalkface.net/resources/mill.mpg mpg      Embedded
video                                     element
Number      Gears question sheet
http://www.thechalkface.net/resources/mill_questions.pdf pdf    Worksheet

Number      Very Strange Game
http://www.thechalkface.net/resources/very_strange_game.xls xls     Game

Number     LCD Digits

Number    Letterworth
http://www.thechalkface.net/resources/letterworth.xls xls    Problem

Number     Light and Sound
http://www.thechalkface.net/resources/light_sound.ppt ppt     Problem

Number      Snow Weight
http://www.thechalkface.net/resources/snow_weight.ppt ppt      Problem

Number      Wheat Grains**
http://www.thechalkface.net/resources/wheat_grains.ppt ppt     Activity

Number     100 Lockers
http://www.thechalkface.net/resources/100_lockers.ppt ppt     Problem
Number      How Many Bottles
http://www.thechalkface.net/resources/how_many_bottles.ppt ppt      Activity

Number     Pencil Raft
http://www.thechalkface.net/resources/pencil_raft.ppt ppt    Problem

Algebra      Think of a Number
http://www.thechalkface.net/resources/think_number.doc doc      Worksheet

Algebra    2-step Function
http://www.thechalkface.net/resources/2step.doc doc     Worksheet
Machines
Algebra    Nim**
http://www.thechalkface.net/resources/nim.xls xls    Game

Algebra     Guess the Rule

Algebra     Coins and Cups
tp://www.thechalkface.net/resources/coins_and_cups_algebra.ppt ppt     Presentation
Algebra

Algebra      Matchbox Maths
/www.thechalkface.net/resources/matchbox_maths_worksheet.xls xls        Worksheet

Algebra     Equations
http://www.thechalkface.net/resources/equations_worksheet.xls xls     Worksheet

Algebra     Linear Equations
Generator**

Algebra    Morse Code**

Algebra     Area Algebra

Algebra    Simplifying
www.thechalkface.net/resources/simplifying_expressions_bingo.xls xls    Activity
Expressions bingo

Algebra   Changing the Subject
http://www.thechalkface.net/resources/formulae.ppt ppt     Presentation
1

Algebra     Changing the Subject
http://www.thechalkface.net/resources/changing_the_subject.xlsx xlsx   Worksheet
2
Algebra     Sphere-Cone
http://www.thechalkface.net/resources/spherecone.docx docx     Worksheet
formula
manipulation
Algebra    Gunshot formula
http://www.thechalkface.net/resources/gun.docx    docx   Worksheet
manipulation
Algebra    Simpson's Rule
http://www.thechalkface.net/resources/simpson.docx     docx   Worksheet
formula
manipulation
Sequence**
Generator**

Algebra     Focus and Directrix    http://www.t xls     Spreadsheet
hechalkface.n
et/resources/
focus_and_dir
ectrix.xls

Algebra      Chess Squares
http://www.thechalkface.net/resources/chess_squares.ppt ppt       Problem

Algebra    Fenceposts
http://www.thechalkface.net/resources/fenceposts.ppt ppt       Problem

Geometry Angle Rules
http://www.thechalkface.net/resources/angle_rules.ppt ppt       Presentation

Geometry Guess the Angle
http://www.thechalkface.net/resources/guesstheangle.ggb ggb     Interactive
demonstration

Geometry Angles in a Triangle
http://www.thechalkface.net/resources/triangle_angles.pdf pdf      Worksheet

Geometry Triangle angles
http://www.thechalkface.net/resources/triangle.ggb ggb      Interactive
demonstration
Geometry Equilateral Triangle
http://www.thechalkface.net/resources/equilateral.ggb ggb      Interactive
demonstration

Geometry Isosceles Triangle
http://www.thechalkface.net/resources/isosceles.ggb ggb      Interactive
demonstration

Geometry Parallel lines
http://www.thechalkface.net/resources/parallel.ggb ggb      Interactive
demonstration
Geometry Kite
http://www.thechalkface.net/resources/kite.ggb ggb       Interactive
demonstration
Geometry Parallelogram
http://www.thechalkface.net/resources/parallelogram.ggb ggb    Interactive
demonstration

Geometry Rectangle
http://www.thechalkface.net/resources/rectangle.ggb ggb    Interactive
demonstration

Geometry Rhombus
http://www.thechalkface.net/resources/rhombus.ggb ggb      Interactive
demonstration

Geometry Square
http://www.thechalkface.net/resources/square.ggb ggb    Interactive
demonstration

Geometry Properties of
ttp://www.thechalkface.net/resources/properties_of_polygons.ppt ppt   Presentation
Polygons

Geometry Guess my

Geometry    Unit Converter       http://www.t xls    Interactive demonstration
hechalkface.n
et/resources/
unit_converte
r.xls
Geometry Enlargement
http://www.thechalkface.net/resources/enlargement.ggb ggb     Interactive
demonstration

Geometry Rotation booklet
http://www.thechalkface.net/resources/rotation.pdf pdf   Worksheet

Geometry Rotation
http://www.thechalkface.net/resources/rotation.ggb ggb    Interactive
demonstration
Geometry Translate the Square

Geometry Tessellation
http://www.thechalkface.net/resources/tessellation.ppt ppt   Presentation
Geometry Tessellation of
http://www.thechalkface.net/resources/tessellation.ggb ggb   Interactive

Geometry Introducing Loci
http://www.thechalkface.net/resources/introducing_loci.pdf pdf   Hand-out

Geometry Loci part 1
http://www.thechalkface.net/resources/loci1.ppt ppt   Presentation

Geometry Loci part 2
http://www.thechalkface.net/resources/loci2.ppt ppt   Presentation
Geometry    Loci part 3           http://www.t ppt   Presentation
hechalkface.n
et/resources/l
oci3.ppt

Geometry Loci Challenges
ttp://www.thechalkface.net/resources/loci_challenges_booklet.pdf pdf   Worksheet
booklet

Geometry Perpendicular
http://www.thechalkface.net/resources/perpendicularbisector.ggb ggb    Interactive
bisector                                 demonstration
Geometry Angle bisector
http://www.thechalkface.net/resources/anglebisector.ggb ggb    Interactive
demonstration
Geometry Bisectors
http://www.thechalkface.net/resources/bisectors.ppt ppt    Presentation

Geometry Restraining Order
http://www.thechalkface.net/resources/restraining_order.doc doc    Worksheet

Geometry Sniper at the Gates
http://www.thechalkface.net/resources/sniper_at_the_gates.doc doc    Worksheet

Geometry Castle Construction
http://www.thechalkface.net/resources/castle_construction.doc doc    Worksheet

Geometry Loci Construction
/www.thechalkface.net/resources/loci_construction_worksheet.pdf pdf    Worksheet

Geometry    Bearings             http://www.t ppt    Presentation
hechalkface.n
et/resources/
bearings.ppt

Geometry    Bearings             http://www.t pdf    Worksheet
hechalkface.n
et/resources/
bearings.pdf

Geometry    Rectangle Rest       http://www.t ppt    Problem
hechalkface.n
et/resources/
rectangle_res
t.ppt
Geometry    Horizon **           http://www.t xls    Investigation
hechalkface.n
et/resources/
horizon.xls

Geometry    Horizon              http://www.t ppt    Presentation
hechalkface.n
et/resources/
horizon.ppt
Geometry    Trig Triangle**     http://www.t xls      Interactive demonstration
hechalkface.n
et/resources/
trig.xls
Trigonometry
Geometry Photo Trigonometry
http://www.thechalkface.net/resources/photo_trig.ppt ppt      Problem

Geometry Sine Rule**

Geometry T-puzzle activity
http://www.thechalkface.net/resources/t-puzzle.xls xls     Game

Geometry Cube Origami
http://www.thechalkface.net/resources/Cube_Origami.ppt ppt       Presentation

Geometry Snow Area
http://www.thechalkface.net/resources/snow_area.ppt ppt       Problem

Geometry Counting Squares**

Geometry Area and Perimeter
Calculator**

Geometry Area of a Triangle
http://www.thechalkface.net/resources/triangle.wmv wmv       Demonstration

Geometry Area of a
http://www.thechalkface.net/resources/parallelogram.wmv wmv       Demonstration
Parallelogram

Geometry Area of a Trapezium
http://www.thechalkface.net/resources/trapezium.wmv wmv        Demonstration

Geometry UK Area
http://www.thechalkface.net/resources/UK_Area.doc doc       Worksheet

http://www.thechalkface.net/resources/shack.pdf pdf
Geometry Shack Area**                                 Worksheet
Geometry   Shack Area**          http://www.t ppt    Presentation
hechalkface.n
et/resources/
shack.ppt

Geometry Area of Common
Shapes

Geometry Area
http://www.thechalkface.net/resources/area_worksheet.xls xls     Worksheet

Geometry The Impossible
http://www.thechalkface.net/resources/impossible_triangle.ppt ppt    Problem
Triangle**

Geometry The Impossible
Triangle embedded                         element
video**
Geometry Triangle Trickery
http://www.thechalkface.net/resources/triangle_trickery.ppt ppt   Activity
activity

Geometry Triangle Overlap
http://www.thechalkface.net/resources/triangle_overlap.ppt ppt    Activity
activity

Geometry Square Area
http://www.thechalkface.net/resources/square_area.ppt ppt     Problem

Geometry Cuboid Surface Area
1**

Geometry Cuboid Surface Area
http://www.thechalkface.net/resources/surface_area.ppt ppt     Presentation
2**
Geometry Common Volumes
ttp://www.thechalkface.net/resources/common_volumes_quiz.ppt ppt       Quiz

Geometry Volume of Buildings
http://www.thechalkface.net/resources/volume_of_buildings.ppt ppt     Presentation

Geometry Volume of a Hula
http://www.thechalkface.net/resources/hulahoop_volume.ppt ppt      Problem
Hoop
Geometry Pyramid                 http://www.t pdf     Worksheet
hechalkface.n
et/resources/
pyramid.pdf

Geometry Sphere, Cone,
http://www.thechalkface.net/resources/sphere/index.htm htm      Demonstration
Cylinder Volume**
Geometry                          http://www.t xls
Rectangle Investigation**                 Investigation
hechalkface.n
et/resources/
rectangle_inv
estigation.xls

Geometry    Area and              http://www.t xls    Investigation
Perimeter**           hechalkface.n
et/resources/
AreaPerimete
r_Investigatio
n.xls

Geometry    Circle Area Concept   http://www.t ppt    Presentation
hechalkface.n
et/resources/
circle_area_c
oncept.ppt

Geometry Tolstoy and Circles
http://www.thechalkface.net/resources/pahom.pdf pdf       Hand-out
1**

Geometry Tolstoy and Circles
http://www.thechalkface.net/resources/pahom_questions.xls xls       Worksheet
2**

Geometry Penny Farthing**
http://www.thechalkface.net/resources/penny_farthing.pdf pdf   Worksheet

Geometry Circle Construction
http://www.thechalkface.net/resources/circle_construction.ppt ppt    Presentation

Geometry    Area Problems      http://www.t ppt       Problem
hechalkface.n
et/resources/
area_problem
s.ppt
Geometry Area of combined
http://www.thechalkface.net/resources/combined_circles.ppt ppt      Presentation
circles
Geometry   Circle Gap           http://www.t xlsx   Spreadsheet
hechalkface.n
et/resources/
circlegap.xlsx

Geometry Area of Pacman
http://www.thechalkface.net/resources/pacman_area.ppt ppt     Problem

Geometry Circle Theorems 1**
ww.thechalkface.net/resources/circletheorems/circle_theorems.ppt ppt   Presentation

Geometry   Circle Theorems 2     http://www. ggb    Investigation
thechalkface.
net/resource
s/circletheor
ems/circlesi
nvestigation.
ggb
Geometry Circle Theorem 1
ww.thechalkface.net/resources/circletheorems/circletheorem1.ggb ggb    Interactive
demonstration
Geometry Circle Theorem 2
ww.thechalkface.net/resources/circletheorems/circletheorem2.ggb ggb    Interactive
demonstration
Geometry Circle Theorem 3
ww.thechalkface.net/resources/circletheorems/circletheorem3.ggb ggb    Interactive
demonstration
Geometry Circle Theorem 4
ww.thechalkface.net/resources/circletheorems/circletheorem4.ggb ggb    Interactive
demonstration
Geometry Circle Theorem 5
ww.thechalkface.net/resources/circletheorems/circletheorem5.ggb ggb    Interactive
demonstration
Statistics 6 Steps of Data
http://www.thechalkface.net/resources/6steps.ppt ppt    Presentation
Collection 1**

Statistics 6 Steps of Data
http://www.thechalkface.net/resources/6steps.doc doc   Hand-out
Collection 2**
Statistics Types of Data 1
http://www.thechalkface.net/resources/types_of_data.ppt ppt   Presentation

Statistics  Types of Data 2
http://www.thechalkface.net/resources/types_of_data.doc doc      Worksheet
Statistics  Common Mistakes
://www.thechalkface.net/resources/common_mistakes_survey.doc doc       Worksheet
Survey

Data       Common Mistakes Surveyhttp://www.t ppt   Presentation
hechalkface.n
et/resources/
common_mist
akes_survey.p
pt
Statistics Pie Chart

Statistics  Venn and Carroll
http://www.thechalkface.net/resources/venn.ppt ppt     Presentation
Diagrams
Statistics  Venn Diagrams**

Statistics Averages
http://www.thechalkface.net/resources/averages.ppt ppt    Presentation

Statistics Probability
http://www.thechalkface.net/resources/probability.xls xls   Worksheet

Statistics  Dice Knock-out
http://www.thechalkface.net/resources/dice_knockout.xls xls    Game

Statistics Hi-Lo game
http://www.thechalkface.net/resources/hilo.xls xls   Game

Statistics Piggy Sixes
http://www.thechalkface.net/resources/piggy_sixes.xls xls   Game

Statistics Monty Hall Problem
1**

Statistics Monty Hall Problem
http://www.thechalkface.net/resources/monty_hall.ppt ppt    Presentation
2**
Graphs     Battleships game
http://www.thechalkface.net/resources/battleships.xls xls   Game

Graphs       Distance-Time
p://www.thechalkface.net/resources/distance-time_worksheet.doc doc    Worksheet
Graphs 1
Graphs       Distance-Time
http://www.thechalkface.net/resources/distance-time_graphs.ppt ppt   Presentation
Graphs 2
Graphs       The Simpsons Logic
tp://www.thechalkface.net/resources/logic_puzzle_simpsons.wmv wmv     Problem
Puzzle

Graphs    Sweden activity 1
http://www.thechalkface.net/resources/sweden.pdf pdf     Worksheet

Graphs    Sweden activity 2
http://www.thechalkface.net/resources/sweden.ppt ppt     Presentation
Graphs    Grapher**

Graphs      Conversion Graphs     http://www. xls    Worksheet
thechalkface.
net/resource
s/conversion
_graphs.xls

Graphs      FlightPath**          http://www. xls    Investigation
thechalkface.
net/resource
s/flightpath.x
ls

Mechanics SUVAT Equations**

Core        A-level Week          http://www.t pdf   Booklet
hechalkface.n
et/resources/
alevelweek.pd
f
Core        Surds Investigation** http://www.t ppt   Activity
hechalkface.n
et/resources/
A4_Surds.ppt

Core        Optimisation          http://www. ppt    Problem
thechalkface.
net/resource
s/optimisatio
n.ppt

Core        Jupiter's Moons 1     http://www. xls    Activity
thechalkface.
net/resource
s/jupiter.xls
Core   Jupiter's Moons 2    http://www. ppt     Presentation
thechalkface.
net/resource
s/jupiter.ppt

Core   Baked Beans          http://www. ppt     Problem
thechalkface.
net/resource
s/baked_bea
ns.ppt

Core   Numerical Integration http://www.t xls   Interactive demonstration
hechalkface.n
et/resources/
numerical_int
egration.xls

Core   C3 Not-Formula Book http://www.t pdf     Booklet
hechalkface.n
et/C3_Not_Fo
rmula_Book.p
df
Core   Geometric Series    http://www. xls      Worksheet
Shapes              thechalkface.
net/resource
s/geometric_
series_shape
s.xls
Core   Buffer**            http://www.t xls     Interactive demonstration
hechalkface.n
et/resources/
buffer.xls

Core   Log Rules            http://www. doc     Hand-out
thechalkface.
net/resource
s/log_rules.d
oc
Core   Binomial Expansion   http://www. xls     Spreadsheet
Excel 97**           thechalkface.
net/resource
s/binomial_e
xpansion.xls

Expansion**          thechalkface.
net/resource
s/binomial_e
xpansion.xls
m
Other   Big Things Quiz**    http://www. ppt    Quiz
thechalkface.
net/resource
s/big_things_
quiz.ppt

Other   Christmas Quiz**     http://www. ppt    Quiz
thechalkface.
net/resource
s/christmas_
quiz.ppt

Other   Summer Quiz**        http://www. ppt    Quiz
thechalkface.
net/resource
s/summer_q
uiz.ppt

Other   Lateral Problems**   http://www. ppt    Quiz
thechalkface.
net/resource
s/problems_l
ateral.ppt

Other   Logical Problems**   http://www. ppt    Quiz
thechalkface.
net/resource
s/problems_l
ogical.ppt

Other   Mathematical         http://www. ppt    Quiz
Problems**           thechalkface.
net/resource
s/problems_
mathematical
.ppt
Other   Seven Bridges**      http://www. ppt    Problem
thechalkface.
net/resource
s/seven_brid
ges.ppt

Other   Seven Bridges**      http://www.t pdf   Worksheet
hechalkface.n
et/resources/
seven_bridge
s.pdf
Other      The Mathematics of   http://www. wmv     Video
Santa Claus**        thechalkface.
net/videos/t
hemathemati
csofsantaclau
s.wmv

Other      A Pint of Snow        http://www. wmv    Video
thechalkface.
net/videos/p
intofsnow.w
mv
Other      Lobster Pot Game      http://www. xls    Game
thechalkface.
net/resource
s/lobster_pot
.xls
Other      Braille Venn 1**      http://www. pdf    Worksheet
thechalkface.
net/resource
s/braillevenn
.pdf

Other      Braille Venn 2**      http://www. ppt    Presentation
thechalkface.
net/resource
s/braillevenn
.ppt
Other      Exam Question         http://www.t xls   Teacher Tool
Analysis Tool**      hechalkface.n
et/resources/
examquestion
analysistool.xl
s

Mechanics Language of Maths** http://www.t ppt      Quiz
hechalkface.n
et/resources/l
anguage_of_
maths.ppt

Mechanics Language of Maths** http://www.t pdf      Worksheet
hechalkface.n
et/resources/l
anguage_of_
maths.pdf
http://www.t pdf
Mechanics Mechanical Reasoning**                  Test
hechalkface.n
et/resources/
mechanicalre
asoning.pdf

Mechanics Mechanical Reasoning http://www.t pdf   Test
hechalkface.n
et/resources/
mechanicalre
asoninganswe
rs.pdf

Mechanics Mechanical Reasoning http://www.t ppt   Quiz
hechalkface.n
et/resources/
mechanicalre
asoning.ppt

Mechanics Zorb                 http://www.t pdf   Worksheet
hechalkface.n
et/resources/
zorb.pdf

Mechanics Zorb Solutions       http://www.t pdf   Worksheet
hechalkface.n
et/resources/
zorb_solution
s.pdf
Teaching Resources                                       0
1
2
For macro info:                                              3
www.thechalkface.net/excel/macros/                                           4
*.GGB files require GeoGebra (free):                                         5
http://www.GeoGebra.com                                                      6
** = Author's choice: my favourite resources.                                7
Description                                              Level   Relevance        ID
**
A simple tool for understanding place value. Four        KS3                 7
random digits (from 0 to 9) are generated, and you
have to rearrange them to make either the largest or
smallest possible number.

Calculates the product of two 2-digit or 3-digit         KS3                 7
numbers, giving the results of each step sequentially
using the grid method.
Gives a 5 by 5 table of multiplication questions which   KS3                 7
may be copied down and completed. Answers may be
revealed by clicking the button.
Each block is the sum of the two blocks directly below   KS3                 7
it. The presentation includes some missing block
problems.
To accompany the Number Pyramids presentation, this      KS3                 7
spreadsheet gives the opportunity to investigate
rearranging the numbers on the bottom row for
different totals at the top.

Each pair of (hidden) numbers at the corners add up to KS3                   7
the four numbers in between. Find a set of four corner
numbers that work. Fhe difficulty level may be altered
to allow bigger numbers.
Two scenarios underlining the importance of              KS3                 7
performing calculations in the right order.
An all-singing all-dancing presentation of the           Other               7
mathematical convention of priority of brackets, orders,

A PowerPoint version of the superb progression from KS3                      7
outer galaxies to inner atoms taken from Magnet Lab at
micro.magnet.fsu.edu
Asks a variety of types of questions with negative      KS3                  7
numbers, gradually getting harder, keeping track of
your score and throwing up more of the type of
questions you struggle with.
Max and min January temperatures are shown for a        KS3                  7
variety of cities. Cities must be linked first to their
temperatures, then missing values from min, max and
range must be found.
Not technically a multiplication table, this is a 1 to 100 KS3   7
grid where you can colour all the multiples of any given
digit from 2 to 9 at the click of a button, revealing
patterns and prime numbers. Includes a common
factors facility.
This is the numbers game from Countdown, the TV            KS3   7
show. Shuffle the cards, choose between 0 and 4 of the
large numbers, and make up to 6 in total from small
numbers. Set the timer (customisable), generate your
target number and off you go.
Prime factorisation introduction. Explanation of factors KS3     7
and primes and demonstration of method.
An interesting concept, producing patterns of dots out KS3       7
of numbers. Alter the base number, and the invisible
multiplication table will alter its shading pattern based
on its factors. See distinctive patterns emerge for
primes, squares, cubes, etc.
An accompanying hand-out for students to study for the KS3       7
numbers 1 to 32 for the above spreadsheet.

This elegant device calculates the prime factors of a    KS3     7
number (up to the seemingly arbitrary limit of 15838)
and displays the results of two different decompositions
in Venn diagram form, in order to identify common
factors and multiples. Also gives HCF and LCM.

A tool for finding the prime factor decomposition of a   KS3     7
number (up to 100,000). It has facilities for HCF and
LCM calculation, and a searchable database of the
numbers within its range, for observing patterns within,
for instance, numbers with an odd number of factors.

A variety of images showing the wide scope of meaning KS3        7
attached to the concept of a fraction.
Examples, with working, for how to compare the size of KS3       7
two fractions. The values of the fractions may be
Working steps can be advanced one by one using the
spinner.

Uses elephants and giraffes to explain why fractions     KS3     7
must have the same 'name' (denominator) in order to
Introducing the idea of finding a fraction of a given    KS3     7
quantity.
Rolling a pair of dice gives a numerator and             KS3     7
denominator. Finding this fraction of 60 gives a
number from the selection for a bingo-style game.
Starting with a 'guess the topic' combination of things    KS3     7
with 'cent' in them, this introduces the idea of
percentages as fractions of 100.
An introduction to the concept of % and examples of        KS3     7
two methods for calculating a percentage change.

A short head-scratcher designed to highlight the           GCSE    7
concept of percentage decrease followed by percentage
increase.
The main elements of the study of fractions, decimals      KS3     7
and percentages condensed into easy-to-read revision-
style sheets.
Using photographs to introduce the concept of ratio and    KS3     7
proportion.
Four recipes with varying ingredients to be shared out     KS3     7
in the same ratio for varying numbers of people.
Using ratio to investigate the gearing of Warwick Castle   GCSE    7
embedded video.
To go with gears presentation.                             GCSE    7

To go with gears presentation.                             GCSE    7

To go with gears presentaiton.                             GCSE    7

This is basically a random number generator with             KS3   7
certain rules for participants to comply with. Fold your
arms if it's a multiple of 4, stand up if it's a prime, etc.

The LCD display on a calculator shows numbers using        KS3     7
combinations of 7 different sections. Which of these is
used the most? Which the least? Includes clock.

If letters are assigned values according to where they     KS3     7
are in the alphabet, and words are the sum of their
letter values, can you find any words that score 50?

Interesting comparison of the speeds of light and sound.   GCSE    7
A radio transmission to the moon would arrive sooner
than a loudspeaker hail across a field. With these
figures you can prove it.
Using information on the density of snow and the           GCSE    7
formula for the volume of a sphere, we can work out
how much this massive snowball weighs.
This activity (worksheet followed by instructions for      KS3     7
teacher) requires problem solving skills, and the use of
a series of facts to find the solution.
A question that requires an understanding of factors       GCSE    7
and multiples, and the nature of square numbers.
Can be used as an introduction to trial and                  KS3    7
improvement, photos of lots of bottles - you have to
guess how many. Giving "too high" or "too low" each
time usually narrows it down within half a dozen
guesses.
Using density, weight and volume calculations, these         GCSE   7
figures should enable to estimate the number of pencils
required to keep one person afloat. Turns out it's
A basic working-backwards function machines                  KS3    7
worksheet.
Solving equations by means of function machine               KS3    7
notation and reversing operations.
A simple version of the classic pick-up game, Nim. You       KS3    7
play against the computer at 3 levels of difficulty with a
customisable number of starting objects, and the aim is
to avoid being the last player to take an object.

With a choice of either a 1 or 2 step function machine, KS3         7
this generates random rules linking an input and output
for learners to guess.
Demonstrating the principles of removing the same       KS3         7
thing from both sides using a coins in cups analogy.

Using the analogy of matches and matchboxes, this            KS3    7
worksheet uses diagrams to reinforce the concept to
allow solving of equations with x on both sides.
A customisable worksheet where you can input your            KS3    7
own coefficients and preferred solutions and both a
question and answer sheet will be generated
automatically.
Completely customisable random equation generator.           KS3    7
Click for a new equation, then click to go through the
stages of solving, including explanations.

Type in a hidden message to have the morse code              KS3    7
version appear on the screen. Decoder by the side to
help solve the puzzle.
Combining area and algebra by providing simple               KS3    7
algebraic expressions as side lengths for rectangles
whose area and perimeter are to be calculated in terms
of x.
A grid of expressions to be read out, with a class set of    KS3    7
bingo grids containing the same expressions in their
simplest form.
Demonstration of changing the subject of a formula. To       GCSE   7
be used with Changing the Subject worksheet

Examples of formulae to rearrange, making each term          GCSE   7
the subject.
Combining volume formulae to find a formula for the          GCSE   7
volume of a newly created 3d shape.
Using constant acceleration suvat equations to prove   GCSE           7
results about firing a gun into the air.
Proving that the volume of certain shapes can be found GCSE           7
exactly using simpson's rule.

A fully worked method for finding the nth term of a         KS3       7
Generates a completely customisable series of double        GCSE      7
brackets and quadratics (toggle view either one or
both) for printing or on-screen use.
Worked example question with a given quadratic              GCSE      7
describing ballistic motion.
Shows a graph (and the equation) of the quadratic           A-Level   7
generated by a focus and directrix. The focus and
directrix can be altered and the graph of the parabola is
automatically updated.

The problem is very simple - how many squares are      KS3            7
there on a chessboard? however, this includes 2 by 2
squares, 3 by 3, etc.
This requires some careful thought and the application GCSE           7
of algebra (only linear equations, but the element of
problem solving makes it quite a tricky one).

The 5 most common angle rules, and an introduction to KS3             7
angles in a polygon by splitting into triangles.

Pupils attempt to accurately make a particular angle on KS3           7
the board, or guess the angle given. Click to show the
angle formed.
A collection of triangles where missing angles must be KS3            7
found using sum of angles in a triangle and isosceles
and equilateral properties.
Demonstrates the angle properties of triangles.         KS3           7

Designed by A. White, you can tug at the corners and        KS3       7
move the shame around, changing its size, but the
fundamental constraints of the square will still be
preserved.
Designed by A. White, you can tug at the corners and        KS3       7
move the shame around, changing its size, but the
fundamental constraints of the square will still be
preserved.
Demonstrates the angle properties of parallel lines.        KS3       7

Designed by A. White, you can tug at the corners and        KS3       7
move the shame around, changing its size, but the
fundamental constraints of the square will still be
preserved.
Designed by A. White, you can tug at the corners and            KS3   7
move the shame around, changing its size, but the
fundamental constraints of the square will still be
preserved.
Designed by A. White, you can tug at the corners and            KS3   7
move the shame around, changing its size, but the
fundamental constraints of the square will still be
preserved.
Designed by A. White, you can tug at the corners and            KS3   7
move the shame around, changing its size, but the
fundamental constraints of the square will still be
preserved.
Designed by A. White, you can tug at the corners and            KS3   7
move the shame around, changing its size, but the
fundamental constraints of the square will still be
preserved.
Illustrations of parallel and perpendicular lines               KS3   7
followed by line and angle properties of common
A series of questions which can be answered with a yes          KS3   7
or a no, progressively ruling out quadrilaterals that
don't fit the description (traffic light indicators) until it
can tell you exactly which four sided shape you are
describing.
A basic unit conversion calculator, illustrating the link       KS3   7
between centi-, milli- and kilo- for litres, metres and
grams.

A customisable triangle with ray lines through each             KS3   7
vertex to a moveable point of enlargement, and its
image, enlarged by a customisable scale factor.

A dozen or so pages covering the fundamentals of point          KS3   7
and direction of rotation for multiples of 90 degrees on
co-ordinate grids.
A customisable shape which may be rotated about a               KS3   7
variable point by a variable angle.
Input the correct 2d trnaslation vector to move the blue        KS3   7
square to the position of the red square.
A few slides with examples of escher tessellation.              KS3   7
With angles clearly marked and labelled, this                   KS3   7
tesselation neatly demonstrates how any quadrilateral
can be tessellated.
A revision-style sheet outlining the fundamental loci.          KS3   7

Introducing the concepts of a given distance from a             KS3   7
fixed point and from a line.
Introducing the concepts of equidistance from two               KS3   7
points and from two lines.
Extending the concept of equidistance from two lines, KS3        7
and introducing an investigation into loci where a circle
radius varies (eg a rope going around a corner of a
building.

A series of problems for learners to solve by obeying     KS3    7
the constraints and observing the resultant shapes.

Demonstrates how a pair of equal circles produces an      KS3    7
exact perpendicular bisector.
Demonstrate how a pair of equal circles exactly bisects   KS3    7
an angle.
How to construct a perpendicular bisector and an angle    KS3    7
bisector.
Loci task, making use of the xkcd cartoon, requires the   KS3    7
use of the circle area formula.
Loci task, a more open investigation on the best way of   KS3    7
covering the perimeter of a rectangle with circles.

Using loci knowledge to draw the described features.      KS3    7

A series of questions, with extension parts, requiring KS3       7
the application of construction techniques and loci
knowledge.
Presentation describing how to measure bearings from KS3         7
one point to another, concluding with a map (see
worksheet below).

Accompanying worksheet to Bearings PowerPoint. For KS3           7
pupils to calculate bearings from various locations on a
sea chart.

A pair of problems involving angles and the properties    GCSE   7
of a rectangle and an equilateral triangle.

Calculates the distance to the horizon based on height GCSE      7
above the surface of the planet (includes standard
results for known planets and the moon, as well as the
option for custom radii). Uses Pythagoras, and includes
a worksheet
Accompanying presentation illustrating the method for GCSE       7
finding the distance to the horizon, using Pythagoras'
Theorem. To be used with Horizon.xls
Allows the user to dynamically alter the width and        GCSE     7
height of a right-angled triangle, choose a trigonometric
identity to investigate and observe the link between
side length ratios and angle.
Investigation questions involving the 4:1 rule of ladder GCSE      7
safety.
Estimate the number of people in a large group photo     GCSE      7
by using right-angle trigonometry to calculate the area
of the (roughly) triangular space.

An on-screen triangle all-in-one calculator, which          GCSE   7
allows you to input values and then apply formulae
such as the sine rule and the cosine rule to calculate
missing measurements.
On the surface a simple rearrange the pieces activity,      KS3    7
but putting these shapes together to make a T shape is
surprisingly challenging. This file includes a print-out
sheet and on-screen shapes to move and rotate.

An accompaniment to an origami cube activity -             KS3     7
photographs of each stage, set on a loop.
Somewhat more complicated than the last one, but in a A-Level      7
similar vein, this time you have to use relative densities
of new-fallen snow and snowball snow to calculate the
size of the field needed to make this snowball.

This spreadsheet provides randomly generated                KS3    7
rectangles or irregular shapes made from squares, and
displays the area and perimeter on demand.
Create your own shapes, and have excel automatically        KS3    7
calculate the area and perimeter (toggle button to
show/hide).
A 20-second clip demonstrating where the formula for        KS3    7
the area of a triangle comes from using cardboard.

A similar idea to the triangle video- cut a piece off one   KS3    7
side and stick it on the other to make a rectangle.

A more complicated formula, but can still be              KS3      7
demonstrated with a bit of cardboard and some cutting
and moving.
A square grid overlaying a map of the british isles, this KS3      7
is designed to be used as an area estimation activity to
come up with a ballpark figure for the size of the
country.
Designed for group work for younger learners, this is an KS3       7
extended task which requires the application of
compound area knowledge to calculate the amount of
wood required to build a shack.
Accompanying presentation for Shack worksheet - gives KS3           7
dimensions and details of how to calculate area.

New dimensions are given to the displayed shape at the KS3          7
click of a button, and the answer (and working)
displayed as required.
A series of questions (with attached answer sheet)         KS3      7
testing area calculations for a variety of compound
shapes.
Known as Curry's paradox, this simple collection of        GCSE     7
shapes seemingly goes together to form two identical
triangles... with different areas! For full functionality,

Curry's paradox - embedded video for presentation.           GCSE   7

Instructions explain how to produce what appear to be KS3           7
two identical triangles from the same set of cut-out
shapes, but one has a greater area than the other.

Can you work out the area of the overlap between these KS3          7
two identical equilateral triangles? 3 different
variations.
This rather tricky problem requires only Pythagoras'     GCSE       7
theorem and some basic algebra to solve. All is
explained in the presentation.
Generates random integer side-lengths for a cuboid and KS3          7
give step-by-step working for surface area calculations.

An accompanying presentation illustrating the method         KS3    7
for calculating surface area.
A handful of questions to test estimation skills and build   KS3    7
an appreication of cubic centimetres. Objects ranging
from a teaspoon to a bathtub.
Various cuboid buildings with given dimensions to find       KS3    7
the volume, culminating in the elephant building as an
extension.
Uses volume of a cylinder knowledge to calculate the         GCSE   7
volume of a hula hoop crisp.
A worksheet involving calculations surrounding the           GCSE   7
Great Pyramid of Giza. Partly to do with volume (of a
pyramid) and also density and weight, along with some
problem solving skills.

Animated web page demonstrating the link between the GCSE           7
formulae for volume of these three shapes.
Investigates the relationship between the perimeter       KS3      7
and the area of a rectangle. One sheet allows the user to
fix the perimeter while varying the side lengths, and the
othe sheet fixes the area while varying side lengths.
The resulting perimeter/area will be shown below, and
the optimal shape can be determined.

A standalone spreadsheet which can be used directly by KS3         7
the student. It calculates the area of a polygon for a
given perimeter and vice versa, allowing you to change
the number of sides and also comparing with a circle.
Includes questions.

An illustration of the derivation of the circle area        KS3    7
formula, using increasingly small slices of a circle
formed into an approximate rectangle.

Using Tolstoy's story of a man who was promised the       KS3      7
area of land he could walk around in a day, this sheet is
a slightly more interesting way of presenting the basics
of circle area and circumference.

Can be used as a standalone worksheet, but relates to KS3          7
the previous info sheet and has some more challenging
questions based on area and circumference.

Requires knowledge of the circumference of circles.         KS3    7
Uses the dimensions of a penny-farthing's wheels and
the radius of the Earth to find out how many wheel
revolutions it would take to circle the globe.

Introducing the fundamentals of compass construction - KS3         7
drawing a circumscribed shape by following
instructions. Includes examples of circle art.

Two problems involving compound area, including             GCSE   7
circles. With worked solutions included.

Taking semicircular bites out of a larger semicircle,       GCSE   7
testing application of circle area calculations, but also
including an algebraic aspect at the end for advanced
gcse level - must be able to sketch quadratics for this
bit.
This spreadsheet calculates the area enclosed by three    Other   7
circles of variable radius. The values can be altered,
and the resulting calculation - as well as the formula
derived for the purpose - is demonstrated.

A couple of circle area problems introducing the idea of GCSE     7
fractions of a circle in the form of sectors.
A comprehensive presentation of the major circle facts GCSE       7
and theorems, beginning with naming the parts of a
circle and ending with geometric proofs of the
theorems.
Important parts of the circle are already constructed,   GCSE     7
with relevant lengths and angles marked. By altering
various points, the results of the circle theorems will
become apparent.

The angle at the centre is twice that at the              GCSE    7
circumference.
The angle in a semicircle is always a right angle.        GCSE    7

Angles in the same segment are equal.                     GCSE    7

The sum of opposite angles in a cyclic quadrilateral is   GCSE    7
180 degrees.
The angle between a chord and a tangent is equal to the   GCSE    7
angle in the alternate segment.
A summary of the data collection cycle, from              KS3     7
predictions through questioning, collecting data,
collating results, presenting data and drawing
conclusions.
To accompany data collection cycle presentation.          KS3     7

Outlines the basics of data. Includes details of          KS3     7
qualitative and quantitative, and continuous and
discrete data.
To accompany Types of Data presentation.                  KS3     7
A questionnaire with errors hidden in every question      KS3     7
(some more important / obvious than others, some
questions have more than one problem). Designed to
draw attention to frequently encountered errors with
questions.
Accompanying presentation giving descriptions of          KS3     7
common problems with the survey worksheet and key
points to remember.

Examples from newspapers of artistic graphs which         KS3     7
distort the true data by one means or another.
Including a print-out version for students to use, this   KS3      7
produces a pie chart based on values you can easily
enter during a lesson. Categories easily customisable,
numbers may be typed in or edited using a spinner.

An introduction to venn and carroll diagrams.             KS3      7

Using input data, a 2-set venn diagram is displayed,      KS3      7
along with a selection of questions on the relative
frequencies involved. 3-set venn diagram work in
progress included.
An introduction to the three averages, using limericks    KS3      7
and investigating word length.
Introducing the probability line, basic probability       KS3      7
notation (fractions) and the basis for an experimental
probability activity with sweets.
Using either one or two dice, the game involves making    KS3      7
predictions about the outcome of the roll. Now includes
horse-race style game based on two dice, and fruit
machine for combined probabilities.
A simple card game based on probabilities - the player    KS3      7
has to guess whether the next card will be higher or
lower (5 cards altogether, from a 13 card suit).
Optional computer calculation to give probabilities.

Roll a die as much as you like, to rack up a score of 100. KS3     7
Roll a 6 before you bank for your turn, however, and
you forfeit that turn's accumulated points. Available as
a 1- or 2-player game.
This classic probability problem goes against intuitive GCSE       7
thinking. The first step is to convince the audience that
switching doors is a good idea (use the interactive
spreadsheet to play the game). The second step is to
explain why (use the accompanying presentation to
illustrate the way probabilities change as new
information is revealed).

To accompany Monty Hall presentation.                     GCSE     7

to select a square.
A description of a journey is to be converted to graph   KS3       7
form.
To accompany the Distance-Time graphs worksheet.         KS3       7

In addition to the logic puzzle within this clip, it can be KS3    7
used with the Distance-Time graphs presentation to
A real-life distance-time graph of a journey into           GCSE   7
Sweden, travelling on foot, by train, by ferry, by bus and
hitch-hiking.
To accompany the worksheet, this includes the same          GCSE   7
distance-time graph.
An comprehensive easy-to-use interface allows the user GCSE        7
to change the equations of two straight lines, set them
to be perpendicular or parallel, find any points of
intersection, and more.
between y=mx+c graphs and everyday situations.

Examples of use of the parabola, how to draw a            GCSE     7
quadratic graph (including finding max or min from
completing the square) and investigating the focus of a
parabola.
A standalone spreadsheet task for pupil use - it allows KS3        7
the user to edit the speed and direction of a projectile
and graphs the resulting parabola, also giving values for
the resulting range and maximum height reached. Task
sheet requires the student to answer using the tools
given, and hopefully to think about the consequences of
changing angles - how the same speed can give different
ranges, how the same speed can give the same range
with two different angles, optimal conditions, etc.

The kinematic equations of motion for constant           A-Level   7
acceleration. Enter the known quantities for initial and
final speed, distance, time and acceleration, and have
this calculator work out the rest.

Booklet of A-level topics - a taster for pre-A-level     A-Level   7
students to give them an idea of the material - covers
circle geometry, kinematics and binomial theorem.

Beginning by proving why the ratio of an A4 sheet        A-Level   7
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 simple optimisation problem based on a quadratic (so A-Level     7
it can be solved by sketching a curve or completing the
square).

Pupils have to produce a simplified astronomical model A-Level     7
of the order of jupiter's moons and their equations of
motion - requires circle equations.
To accompany the above activity - gives the solution      A-Level    7
equations.

Why is a baked bean can that shape? Assuming a           A-Level     7
cylindrical form is best, what dimensions are optimal
for the best surface area to volume ratio? This requires
some basic calculus with negative indices.

Allows the user to input functions and have Excel         A-Level    7
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 helpful booklet detailing all the main facts, techniques A-Level   7
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.
Two examples of shapes created by an infinite iteration A-Level      7
but with finite area and perimeter, to be found by
applying geometric series formulae.

This is designed to illustrate the link between video     A-Level    7
buffering and geometric progressions. An infinite sum
can be more easily visualised in the context of a
common phenomenon - customisable times and buffer
delays.
Revision-style sheet covering the basics of logarithms    A-Level    7
and their associated rules.

Excel 97-2003 version of Binomial Expansion               A-Level    7
calculator.

For expansions of the form (a + b)^c this will give the   A-Level    7
expansion to the x^10 term. Deals with negative and
fractional powers, too. This is made in excel 2007, and
contains macros. 97-03 version available.
Questions ranging from the height of the Eiffel tower to Other     7
the weight of the largest ship. Multiple choice, but even
the wrong answers have pictures to go with them.

Designed to be nearly impossible to answer, but chock Other        7
full of interesting facts, these 12 slides of christmas take
anything from 30 to 60 minutes depending on how you
play it.

Questions requiring some form of number answer, but Other          7
not especially mathematical. Some customising will be
necessary - one question requires estimates of sunrise
and sunset that day (can be found by googling).

A collection of problems that require calculation, careful Other   7
deduction or out-of-the-box thinking skills. These are
primarily lateral thinking questions.

A collection of problems that require calculation, careful Other   7
deduction or out-of-the-box thinking skills. These are
primarily logical questions.

A collection of problems that require calculation, careful Other   7
deduction or out-of-the-box thinking skills. These are
primarily mathematical questions.

The Seven Bridges of Konigsberg problem is the            KS3      7
beginnings of graph theory, but is a good spatial
activity, and this version explores the possibility of
destroying or building bridges to alter the situation.
Use with accompanying worksheet.

Accompanying worksheet, explaining the Seven Bridges KS3           7
problem - can be used to accompany the PowerPoint or
as a standalone activity. Remember, there is no solution
(aside from a proof of impossibility) for the original
problem, so it may take some time!
A 4-minute video presenting the maths behind Santa's       Other     7
Christmas eve exploits.

A short experiment, carried out in non-laboratory          Other     7
conditions, to determine how much snow you would
need to melt for a pint of water.

My version of the game - you buy lobster pots, place       KS3       7
them in the bay or out at sea and reap the rewards,
calm or storm. This includes a calculator as well as
sheets to print off for a class, so you can play alongside
without all the tedious adding up.
A combination of 'Venn That Tune' and Braille, use with GCSE         7
the accompanying presentation which includes
answers. A code-breaker with a twist. Some intelligent
guesswork is required, and once you've cracked the
code you're still only halfway there.

To accompany Braille Venn worksheet.                       GCSE      7

This spreadsheet is a template you can use to perform a Other        7
detailed breakdown of a test or exam. Pupils names are
entered at the top, the topic of each question, along with
the number of marks, is entered down the side, then
when results are inputted for each pupil not only are
boundaries) automatically calculated, but poorly done
questions are flagged up for teacher and students to
take note of.

This PowerPoint quiz encourages students to recognise A-Level        7
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.

Alternative to the above quiz - this is a worksheet that   A-Level   7
can be used to help students identify Mechanics lingo.
Common phrases and sayings need to be matched up
with their Mechanics-speak versions.
60 questions taken from a graduate psychometric test A-Level       7
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.
Solutions to the Mechanical Reasoning test above -      A-Level    7
Answers to the multiple choice questions as well as
explanations (intended to be thorough, but not overly
technical).

Identical to the Mechanical Reasoning test above, but as A-Level   7
a PowerPoint presentation. For Answers see

An involved problem which incorporates elements of      A-Level    7
each of the chapters from the M1 textbook. The theme
revolves around Zorbing. Solutions on the
accompanying worksheet

Solutions to the Zorb worksheet above                   A-Level    7

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