Durtles

Let's bring interesting math problems to school aged children.
Join our community of problem makers/lovers:

[Durtles @make_a_problem]

Find an affine plane of order 4 that includes these two partitions.
#math #maths #ProblemSolving #iteachmath #mathsky

[Durtles @make_a_problem]

Are these two partitions of the dots in a 4x4 grid compatible? (In each grid, the same coloured dots are in the same group)
#math #maths #ProblemSolving #iteachmath #mathsky

[Durtles @make_a_problem]

The largest set we considered yesterday is called the affine plane of order 3. Here’s a representation with each colour indicating a partition in the set. Find a different representation (different set of partitions) of the affine plane of order 3.
#math #maths #ProblemSolving

[Durtles @make_a_problem]

Consider a set of pair-wise compatible partitions of the 9 dots. What’s the largest number of partitions that can be in this set?
#math #maths #ProblemSolving #iteachmath #mathsky

[Durtles @make_a_problem]

Let’s also call two partitions compatible if each group in one partition consists of a dot from each of the 3 groups in the other partition. How many partitions of the 9 dots are compatible with this one?
#math #maths #ProblemSolving #iteachmath #mathsky

[Durtles @make_a_problem]

Happy Monday! This week's problems are inspired by David Butler's post on bsky:
https://t.co/rF2reJjn7i
Consider all the ways of splitting the following 9 dots into 3 groups of 3. Let’s call these partitions of the dots.
How many different partitions of the 9 dots are there?

[Durtles @make_a_problem]

Testing buffer functionality with reposts
@make_a_problem
https://t.co/1Sz8M3sK6e

[Durtles @make_a_problem]

So I made a video on this week's musings.
https://t.co/Ea5qYTs1Ff
#math #maths #ProblemSolving #iteachmath #mathsky

[Durtles @make_a_problem]

Can a rational number and an irrational number have common factors? Common multiples?
#math #maths #ProblemSolving #iteachmath #mathsky

[Durtles @make_a_problem]

Can two irrational numbers have common factors? Common multiples?
#math #maths #ProblemSolving #iteachmath #mathsky

[Durtles @make_a_problem]

Does the formula GCF(a, b) x LCM(a,b) = axb still work when a and b are fractions? What about the Euclidean Algorithm?
#math #maths #ProblemSolving #iteachmath #mathsky

[Durtles @make_a_problem]

Is there an equivalent of prime numbers when we talk about factors of fractions? Give examples or explain why not.
#math #maths #ProblemSolving #iteachmath #mathsky

[Durtles @make_a_problem]

What’s the GCF of 2/5 and 3/7? LCM?
#math #maths #ProblemSolving #iteachmath #mathsky

[Durtles @make_a_problem]

Happy Monday! This week's problem is inspired by my idle musings. ^^"
If we were to extend the definition of factors to non-integers, which of the following would you say is a factor of 2/5: 2? 5? 1/5? 1/10? 2/15?
#math #maths #ProblemSolving #iteachmath #mathsky

[Durtles @make_a_problem]

Share your own problem inspired by this week's.

[Durtles @make_a_problem]

If we place 4 points on the perimeter of a unit square and add up all pair-wise distances between them, what’s the biggest sum we can get?
#math #maths #ProblemSolving #iteachmath #mathsky

[Durtles @make_a_problem]

If we place n points on the circumference of a unit circle and add up all pair-wise distances between them, what’s the biggest sum we can get?
#math #maths #ProblemSolving #iteachmath #mathsky

[Durtles @make_a_problem]

If we place 4 points on the circumference of a unit circle and add up all pair-wise distances between them, what’s the biggest sum we can get?
#math #maths #ProblemSolving #iteachmath #mathsky

[Durtles @make_a_problem]

If we place n points on a line segment of length 1 and add up all pair-wise distances between them, what’s the biggest sum we can get?
#math #maths #ProblemSolving #iteachmath #mathsky

[Durtles @make_a_problem]

If we place 4 points on a line segment of length 1 and add up all pair-wise distances between them, what’s the biggest sum we can get?
#math #maths #ProblemSolving #iteachmath #mathsky