MEDIAN Don Steward mathematics teaching: invariants

median
don steward
mathematics teaching 10 ~ 16

Friday, 1 June 2012

invariants

Posted by don steward

Labels: arithmetic, linear equations, puzzles

No comments:

Pages

Blogs Home
Don Steward's maths education resources
Don Steward's presentations
Don Steward's rough notes

images

you need to download the powerpoints for any animations to work

see the icon you need to find at the bottom of this column

topics

3D coordinates (1)
3D geometry (8)
a add b squared (7)
add/subtract simple (6)
addition (9)
addition simple (17)
algebra (9)
algebra misconceptions (2)
algebraic fractions (3)
angle bisector (5)
angle proof (10)
angles (16)
angles in a triangle proof (1)
angles in polygons (38)
angles in quadrilaterals (8)
angles introduction (1)
angles on a grid (7)
angles on parallel lines (3)
approximations (4)
arc length (6)
area (28)
area and perimeter (19)
area compound shapes (2)
area of a parallelogram (6)
area of a rhombus (2)
area of a triangle (19)
area trapeziums (13)
arithmetic (14)
arithmetic mental (1)
arithmetic sequences (2)
arrangements (5)
art (11)
averages (22)
bar charts (2)
bearings (2)
being systematic (5)
best buys (1)
bidmas (5)
big numbers (1)
boxplots (5)
brackets (2)
calculator use (2)
chanting (1)
circle equation (1)
circle mensuration (16)
circle theorems (8)
coins (1)
combinations (1)
compactness (1)
compound interest (1)
compound measures (6)
cone (3)
cone surface area (1)
congruence (4)
congruent parts (2)
connecting dots (1)
consecutive numbers (1)
constructions (2)
conversion (3)
coordinate proof (2)
coordinates (8)
coordinates 4 in a line (4)
coordinates quadrilaterals (7)
correlation (4)
cosine rule (5)
cryptarithms (1)
cube counting volume (6)
cube numbers (10)
cubic equations (1)
cubic function (4)
cuboid diagonal (1)
cuboid surface area and volume (13)
cuboid volume (8)
cuisenaire rods (10)
cumulative frequency (2)
curve fitting (2)
cylinder (6)
data sets (1)
decimal addition (6)
decimal division (4)
decimal multiplication (8)
decimal place values (2)
decimal scales (3)
decimal subtraction (6)
decimal zoom (1)
decimals (13)
decimals measures (1)
deltahedra (1)
dienes blocks (1)
difference of two squares (25)
dimensions (2)
directed number (16)
directed number add/take (24)
directed number multiplication (4)
dissection (7)
distance-time (1)
divisibility (5)
division (17)
dodecagon (1)
dotty paper (1)
doubling (2)
dual solids (1)
enlargement (8)
equable shapes (8)
equivalent ratio (3)
eratosthenes sieve (1)
estimated frequency (1)
estimating the mean (1)
estimation (8)
Euclid (1)
Euler's relationship (1)
expanding brackets (12)
expontial function (3)
expression forming (11)
expressions (39)
expressions both ways (5)
expressions tricks (1)
factorial (1)
factorising (6)
factors (21)
factors number of (7)
fdp (11)
FEV (2)
fibonacci (6)
figurate numbers (4)
film (7)
forming equations (19)
formulas (12)
four colour theorem (1)
four lines problem (1)
fractal (1)
fraction addition (23)
fraction division (6)
fraction Egyptian (2)
fraction equivalence (8)
fraction multiplication (14)
fraction pictures (4)
fraction subtraction (13)
fractions (10)
fractions cancelling (4)
fractions comparing (2)
fractions mixed numbers (2)
fractions of (7)
fractions to decimals (5)
fractions to percentages (1)
frequency polygons (1)
frequency trees (1)
frieze patterns (1)
frustum (1)
functions (6)
functions combined (2)
functions self-inverse (1)
game (1)
generalisations linear (18)
generalising (45)
generalising GCSE questions (5)
geometric mean (3)
geometric sequences (2)
golden ratio (1)
gradient (9)
graph transforms (2)
graphical interpretation (4)
graphs (1)
graphs and charts (1)
grid geometry (79)
grouped data (1)
half life (1)
halving (1)
harmonic mean (3)
high and low bounds. errors (1)
hundred number square (2)
hypercube (1)
impossibilities (2)
inequalities linear (1)
inverse proportion (3)
inverses (2)
investigation (4)
isometric areas (2)
isometric views (2)
isosceles triangles (6)
iteration (3)
knock-out (2)
Kobon triangles (1)
LCM and HCF (7)
lengths (1)
limits (2)
line of best fit (3)
linear equations (46)
linear equations cover up method (1)
linear equations x bs (19)
loci (10)
long multiplication (11)
mean (5)
mean frequency (3)
mean of grouped data (2)
mid-points (5)
misleading graphs (1)
mobiles (2)
modelling (2)
moving averages (1)
multiples (15)
multiplication (14)
multiplication simple (11)
multiply three brackets (1)
music (1)
nets (5)
nth term (43)
nth term quadratic (15)
number pattern (10)
number review (1)
number sequences (7)
odd and even (2)
optimisation (1)
organising (2)
packing (2)
painted cube (1)
parallel lines (1)
pascals triangle (2)
patterns (3)
penrose tiles (1)
pentagons (1)
pentominoes (3)
percentage change (inc/dec) (4)
percentage of (1)
percentages (16)
percentages using a multiplier (1)
perimeter (6)
perpendicular lines (9)
Pick's theorem (1)
pie charts (6)
pie charts comparative (1)
place value (3)
place value proof (4)
plans and elevations (4)
platonic solids (3)
pmp (14)
polar graph paper (1)
polygons (2)
polyhedra (5)
polyiamonds (1)
powers (41)
pre-algebra (4)
presentation (1)
prime factorisation (5)
primes (11)
prism (4)
probability (29)
probability combined (12)
probability conditional (1)
probability experimental (1)
probability history (2)
probability sample space (7)
problem solving (9)
proof (77)
proof geometry (1)
proportion (4)
protractor (1)
puzzles (17)
pyramid (4)
pyramid volume (2)
pythagoras applications (35)
pythagoras in 3D (4)
pythagoras introduction (1)
pythagoras proof (8)
pythagorean triples (22)
quadratic expansions (16)
quadratic formula (2)
quadratic geometry/algebra (1)
quadratic graphs (9)
quadratic rules (8)
quadratic sequences (2)
quadratics (17)
quadratics factorising (28)
quadrilaterals (13)
quartiles (1)
radiating (8)
random numbers (1)
rate (1)
ratio (47)
ratio sharing (3)
ratio transitivity (2)
rearrangement (20)
reciprocal (3)
recurring decimals (5)
recursion (1)
reflection (11)
reflection principle (1)
regions (3)
relations (7)
relationships linear (38)
remainders (2)
reptiles (1)
rotation (8)
rotation symmetry (10)
rounding (2)
sample (2)
scale (1)
scale drawing (1)
scatter graphs (10)
schemes of work (1)
schlegel diagrams (1)
sector area (1)
semi regular tessellation (1)
series (1)
shape properties (7)
Sicherman dice (1)
significant figures (1)
similar triangles (15)
similarity (9)
similarity lav (4)
simplification (31)
simpson's paradox (3)
simultaneous equations (34)
sine and area (5)
sine rule (3)
snakes and branchings (1)
so (3)
solids (15)
soma puzzles (1)
speed (3)
sphere (4)
spirals (1)
spread (6)
square numbers (17)
square root of 2 (1)
square roots (2)
squares inside rectangles (3)
standard deviation (2)
standard form (1)
star polygons (1)
statistics (1)
stem and leaf diagrams (5)
straight line graphs (35)
stratified sample (1)
strip patterns (1)
substitution (37)
subtraction (12)
sum of cubes (1)
sum of squares (4)
surds (20)
symbols (1)
symmetry (21)
tangents to a circle (2)
tangrams (2)
tessellation (12)
three variables (2)
times tables (3)
tower of hanoi (1)
transformations (4)
trapezium (2)
tree diagrams (2)
trendline (1)
trial and improvement (5)
triangular numbers (10)
trig function (2)
trigonometry (15)
trigonometry exact values (7)
trigonometry in 3D (1)
trisides (1)
variation (1)
vector proof (2)
vectors (6)
venn diagrams (2)
visualising (3)
weighted mean (1)

median resources

it may be more appropriate to present ideas and tasks without the ppt offered (where they are)

ppts are provided with, hopefully, some interesting questions and so that teachers can adapt questions

sorry, I'm a unicase fan...

hadieh shafie

click to link to her website

median practice makes perfect blog

contents have been moved to this blog

apologies if this causes any difficulties e.g. with links

see the pmp tag

practice and gcse

practice and GCSE sheets blog

median magic squares blog

magic squares resources

median choices of ICT

ICT resources that I think are helpful

10 to 16 maths education

ideas are aimed at those who teach mathematics to adolescents; who like tasks with some depth, novelty and a focus on generalising relationships and on transformation

don steward
MEDIAN

pageviews

about me

don steward: my interest is in effective tasks for teaching mathematics to 10 to 18 year students ~ I have collected and trialled many people's ideas for tasks for many years and have played at making these work ~ my thanks to these people

View my complete profile

to download a file

click on the link, download it by clicking this button (top right) and play the file from your download folder, removing the protected view (enable editing)

Simple theme. Powered by Blogger.