median
don steward
mathematics teaching 10 ~ 16

Saturday, 10 December 2016

expressions zygolex (3)

as with Zygolex (2), one intention for using this might be to establish routes from the centre to the outside and then show how the expression simplifies to give the appropriate expression





expressions zygolex (2)

also considering routes from the middle to the outside
and how the expressions simplify to give the required (already known) result








Thursday, 8 December 2016

block volumes

put the blocks in order of their volumes
largest to smallest
all lengths are cm.

















match one of the volumes of the blocks 1 to 6 with one of the blocks 'a' to 'e'


















what are the volumes of these blocks?


Wednesday, 7 December 2016

radiating directed numbers

these are based on the Zygolex puzzles

the centre number can only be changed by one of the four allowable steps to get to the outer numbers

there should be no repeats of numbers in the boxes









radiating decimals

these are based on the Zygolex puzzles

the centre number can only be changed by one of the four allowable steps to get to the outer numbers

there should be no repeated numbers in the boxes









Tuesday, 6 December 2016

expressions quadrilaterals

this idea is due to Martin Wilson in Harrogate

there is an intention that students start with substitution, including trial and improvement
and then progress to linear equation solving (unknown on both sides)

related themes are explored in MathsMedicine (professor smudge) - see the various youtube clips on 2D dynamic bar model for an equation e.g. this one





Monday, 5 December 2016

manifest

the powerpoint gives one 'play'

it needs to be played against someone else

Yohaku fraction addition puzzles

brought to my attention by one of Ed Southall's tweets (thanks) @solvemymaths

the name is created by Michael Jacobs who has many Yohakus,
for integers, decimals and directed numbers as well as fractions,
with multiplication as well as addition
2 by 2 up to 4 by 4 grids
and algebriac expression multiplication

the powerpoint suggests a way to tackle these puzzles (Egyptian fractions)

(there might be more than one solution to some of these?)




most reflex angles inside a polygon



most acute angles inside a polygon

the maximum number of acute angles inside a polygon is closely related to the maximum number of right angles
see the right angles powerpoint
the powerpoint for most acute angles is here










Sunday, 4 December 2016

quadrilaterals with 3 acute angles

the initial question is from a KS2 test paper (2016)
the tasks are good practice in using areas of triangles
the powerpoint is here












Saturday, 3 December 2016

quizzes

quiz 1



quiz 2
longer questions














the powerpoints need to be downloaded for the animations to work