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

## Wednesday, 7 December 2016

## 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

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

### 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)

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)

### 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

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

the tasks are good practice in using areas of triangles

the powerpoint is here

## Saturday, 3 December 2016

## Tuesday, 22 November 2016

### squares inside rectangles (1) numbers

(reworked)

number work practice - addition and subtraction, hopefully without a calculator

the powerpoint is here

some tasks involve simple simultaneous equations (e.g. two numbers sum to 10 with a difference of 2, what are they?)

the numbers are the lengths of the squares rather than their area

sometimes you have to find the right lengths to compare e.g. in the 7, 5, 7 resource (two) below,

having found 12 (above the 7 + 5) then 12 + 5 = ? + 7

find the missing numbers

a 'perfectly squared' rectangle has all the squares of different sizes

an 'imperfectly squared' rectangle

what are the missing lengths?

number work practice - addition and subtraction, hopefully without a calculator

the powerpoint is here

some tasks involve simple simultaneous equations (e.g. two numbers sum to 10 with a difference of 2, what are they?)

the numbers are the lengths of the squares rather than their area

sometimes you have to find the right lengths to compare e.g. in the 7, 5, 7 resource (two) below,

having found 12 (above the 7 + 5) then 12 + 5 = ? + 7

find the missing numbers

a 'perfectly squared' rectangle has all the squares of different sizes

an 'imperfectly squared' rectangle

what are the missing lengths?

### squares inside rectangles (2) equations

forming and solving linear equations with the unknown on both sides

it can be tricky to see which lengths to compare to find expressions for the squares

the powerpoint goes through a couple of examples (that are probably necessary for students to progress)

the numbers are the (integer) lengths of the square

all of these are 'perfect rectangles' in that none of the square sizes are repeated

this work is developed from the numbers attained by Stuart Anderson on www.squaring.net where there is a vast amount of information about squares inside rectangles and related notions

it can be tricky to see which lengths to compare to find expressions for the squares

the powerpoint goes through a couple of examples (that are probably necessary for students to progress)

the numbers are the (integer) lengths of the square

all of these are 'perfect rectangles' in that none of the square sizes are repeated

this work is developed from the numbers attained by Stuart Anderson on www.squaring.net where there is a vast amount of information about squares inside rectangles and related notions

## Monday, 21 November 2016

### loci and regions

not too sure why this topic remains on the syllabus?

it harks back to a Euclidean tradition I guess

the tasks at sciencevsmagic are interesting and challenging, if you have IT availability

the best powerpoint is Dan Walker's

I've adjusted it but this is his (admirable) work

a powerpoint showing the constructions (click and leave, needs clicking between slides)

a loop to remind students of the loci they need to know (which could be played whilst they work: click and leave)

the questions

the mrreddy.com geometry toolbox can be helpful, available in the 'teachers' section of Bruno Reddy's site

alternative construction for the angle bisector

these are questions from the KS3 SAT papers

it harks back to a Euclidean tradition I guess

the tasks at sciencevsmagic are interesting and challenging, if you have IT availability

the best powerpoint is Dan Walker's

I've adjusted it but this is his (admirable) work

a powerpoint showing the constructions (click and leave, needs clicking between slides)

a loop to remind students of the loci they need to know (which could be played whilst they work: click and leave)

the questions

the mrreddy.com geometry toolbox can be helpful, available in the 'teachers' section of Bruno Reddy's site

alternative construction for the angle bisector

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