In #MathsToday The Maths of Democracy investigation completed. As per the the cities investigation, hopefully it is a little different to your typical investigation looking at changing rates of democracy, calculations of democratic scores and gerrymandering all using accessible KS3 maths.

Pick's Theorem has all the ingredients to be a great (and accessible) investigation. All you need is a good resource, and luckily there is Google Drive link in the comments. Please do forward (this post of link) to anyone you think would find it useful. #ITeachMath #MathsToday #MathSky

Maths peeps This is what you currently see on Maths Advance when scrolling the investigations page. What buttons could be added here? When you click into an activity you see: description; prior knowledge, approximate total time, and instructions. #MathsToday #MathSky #iTeachMath

Summer giveaway (2 of 2): First correct solution gets a free annual subscription. In a triangle one angle is double the size of another angle, and one angle is triple the size of another angle. Find each of the different possible sizes of the smallest angle. #ITeachMath #MathsToday #MathSky

The Collatz Conjecture makes for a brilliant KS3 investigation. For when you have wrapped up a tough test or are in need of a solid end-of-term activity, grab the resources via the Google Drive link in the comments. #ITeachMath #MathsToday #MathSky

In #MathsToday The Maths of Cities investigation completed and tested. Hopefully it is a little different to your typical maths investigation: percentages, graphs, ratios but applied in a structured way to house prices, pollution and salaries.

In #MathsToday finished another investigation. Now to read my book whilst an old colleague (physics) tests it over coffee. The clue is not especially cryptic! What does the investigation look at? #ITeachMath #MathSky

US maths teachers! 👋 Problem-solving transcends curricula. Maths Advance is already used by leading schools across the UK, UAE & Asia, and we are offering complimentary subscriptions to US schools as we look to build our stateside network. Details in the comments. 👇 #MTBoS #MathChat

Summer giveaway (1 of 2): First correct solution gets a free subscription for next year. George rolls a dice five times. The mean of the rolls is double the mode, and the range is double the mean. In how many different ways could George have rolled the dice? #ITeachMath #MathsToday #MathSky

Nostalgia for the maths department! Has anyone recently delivered this classic investigation? If not, but you would like to, click the Google Drive link in the comments for free pupil and teacher sheets. #ITeachMath #MathsToday #MathSky

In #MathsToday there are worse places to go for a conference.

...and one more: The ratio of the interior angle at A to the interior angle at B is 2:3. Deduce whether or not the pentagon contains a right angle.

Updated.

For teachers: Looking for a solid extension task? Here is a lovely question that interleaves three different mathematical topics to challenge your pupils. Find x. #MathsToday #iTeachMath #MathsSky

How long to solve? A regular hexagon has a side length 'a', and a square has a side length 'b'. Given that the area of the hexagon is equal to the area of the square, show that 'a' can be written in the following form where 'x' and 'y' are rational numbers to be deduced. #MathSky #MathsToday

For parents: Suppose your child scores highly in mathematics. What should happen next? More practice? Or an opportunity to tackle challenging and unusual problems where the solution is not immediately obvious? What sort of skills will be most valuable in the long term? #parenting #UKParents

At what temperature (besides the aforementioned) would the square of the temperature in Fahrenheit be equal to the square of the temperature in celsius? As an intermediate step show that for a temperature in celsius, c: #iTeachMath #MathSky #MathsToday

How long to solve? A classic question: given that the blue shape is a square, and the three green lines are equal, justify (without a calculator) which is greater: the sum of the three green lengths or the red circumference. #iTeachMath #MathSky #MathsToday

How long to solve? Given that f(x) is linear (ax + b) express 'b' in terms of 'a'. #MathSky #MathsToday #ProblemSolving

How long to solve? Calculate the area of the square. #iTeachMath #MathSky #MathsToday

How long to solve? Find an expression for the shortest distance from the origin to the line. #iTeachMath #MathSky #MathsToday

How long to solve? Without using SOHCAHTOA, find the blue shaded area. Is it reasonable for a teacher to disallow a particular method? #iTeachMath #MathSky #MathsToday

How long to solve? Given that all terms after U(zero) are uniform, find the four possible values of U(zero). #iTeachMath #MathSky #MathsToday

In #MathsToday given that the purple and green areas are equal, calculate the gradient of the line.

Keen to know people's thoughts on this. Taken from the much commented upon EEF report. #mathstoday #iteachmaths #education

More added. More coming. #MathsToday #UKMathsChat #mathsky #iTeachMath #mathscpd

Two new sections, to add to the 1500 strong (problem-solving only) question bank. If you would like to embed problem-solving (for free) at your institution, then send me an email: george@mathsadvance.co.uk #MathsToday #UKMathsChat #mathsky #iTeachMath #mathscpd

Great find! Critical to split the base up.

A big part of the barrier is practical. If you want to move forward with problem-solving, Maths Advance can help provide you with an infrastructure across the curriculum. #MathsEducation #UKTeachers #Teaching #ProblemSolving

What constitutes problem-solving? #iTeachMaths #MathsToday www.linkedin.com/posts/george...