two types of sum

a ppt is here

directed number teaching four articles

four articles on the teaching of directed number

(1) some history
(2) three effective models
(3) a 'vector'approach
(4) further considerations

smaller radiating directed numbers

still not easy - but simpler
there should be no duplicates of numbers in the loops for each task

directed number product and sum tasks

the powerpoint is here

directed number practice makes perfect (1)

a ppt is here

directed number practice makes perfect (2)

a ppt is here

directed number multiplication

the first resource is an idea from Martin Wilson, in Harrogate
and is intended to be practice with multiplying directed numbers rather than in solving quadratic equations, thinking about factors

radiating directed numbers

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 any of the boxes

puzzle square

I liked the puzzle posted by Jonathan, brought to my attention through Jo's resources

this puzzle involves one minus sign

for all pluses and all minuses between the boxes there are infinitely many solutions
but the one minus (a) and (b) and three minuses (c) versions lead to some interesting results

students can find solutions by trying out numbers and then adapting

resources (b) and (c) are intended as directed number practice

a powerpoint shows how algebra can be involved
(download it for the animations to work)

directed number target

directed number addition and multiplication
deliberately designed so that there at least two possible solutions

the powerpoint goes into ( fairly ridiculous) detail about possible generalisations

that's curious

the powerpoint involves

• decimals
• directed numbers
• fractions

sometimes the relationship does hold even though it usually doesn't

sum product

a curious relationship that works for a restricted set of numbers

intended to practice many number skills

thanks to David Wells

powerpoint

work out the rule

find as many solutions as you can

find the missing number

what relationships can be found connecting the three outside numbers to th middle one?

from a French book

directed number practice
quite demanding on an algebraic level but good practice in working with multiplication, addition and subtraction
good that there are two solutions to the tasks ...

making 19