c. Find a path from A to B that goes through each cell exactly once moving only vertically or horizontally at each step. #math #maths #ProblemSolving #iteachmath #mathsky

At what grade level do you think kids should be allowed to use calculators? #MathSky #Community 1️⃣ Gr. 4-6, when calculations become tedious. 2️⃣ Gr. 7-9, when calculations are not the point. 3️⃣ Gr. 10-12, with radicals, trigs, and logs. 4️⃣ Nevah. Muahahaha. 📊 Show results

b. Find a path from A to B that goes through each cell exactly once moving only vertically or horizontally at each step. #math #maths #ProblemSolving #iteachmath #mathsky

#hottake: It's not the math teachers' job to come up with good math problems outside of the textbooks, just as it's not the English teachers' job to write all the stories and not the music teachers' job to compose all the songs. That's a separate profession we need for math. #MathSky

a. Find a path from A to B that goes through each cell exactly once moving only vertically or horizontally at each step. #math #maths #ProblemSolving #iteachmath #mathsky

Sorry I was gone for 4 months when I said I was only taking a month-long break. 😅 I now have my ducks in a row with a (hopefully) more sustainable posting schedule. Stay tuned starting this week. 😉 #MathSky

I just realized I do the pokemon thing but for math problems. 🤔 I catch them and "train" them until they evolve into a book or a video. 😅

I made this week's problem into a video too. youtu.be/elp1RSD8Tq4 Sorry to take another break from the posting schedule so soon, but we have a family trip coming up. See you again in a month or so. ☺️ #math #maths #ProblemSolving #iteachmath #MathSky

f). How many different arrangements of the name cards for n people (where n is odd) are there that have this property? #math #maths #ProblemSolving #iteachmath #mathsky

e). Prove or disprove that no arrangement of name cards work for even numbers of people. #math #maths #ProblemSolving #iteachmath #mathsky

d). Prove that the reverse order arrangement of name cards always work for odd numbers of people. #math #maths #ProblemSolving #iteachmath #mathsky

c). How many different arrangements of the name cards for 4 people are there that have this property? 6 people? 7 people? #math #maths #ProblemSolving #iteachmath #mathsky

I made these books for my own kids. If you're a math problem enthusiast and have a child in your life with whom you want to share that love of math, feel free to check them out. mybook.to/hTtGl #mathsky #iteachmath #math #maths #ProblemSolving #MarketingMonday (I hesitated, so it's not Monday..)

b). How many different arrangements of the name cards for 5 people are there that have this property? #math #maths #ProblemSolving #iteachmath #mathsky

Happy Monday! This problem is inspired by the 1975 CMO Q6ii Here are 5 people at a meeting. Notice if we place their name cards in reverse order, no matter how we turn the table, only one person will have the right name card at any time. a). Find a different arrangement for 5 people like this.

So I made a video on this week's problem too. youtu.be/zYsNc0oJKo8 #math #maths #ProblemSolving #iteachmath #mathsky

f). How many different arrangements of mismatching all name cards are there for n people around the table? (rotating the table counts as the same arrangement) #math #maths #ProblemSolving #iteachmath #mathsky

e). How many different arrangements of mismatching all name cards are there for 5 people around the table? (rotating the table counts as the same arrangement) #math #maths #ProblemSolving #iteachmath #mathsky

d). How many different arrangements of mismatching all name cards are there for 4 people around the table? (rotating the table counts as the same arrangement) #math #maths #ProblemSolving #iteachmath #mathsky

c). For which numbers of people is it always possible to rotate the table such that at least 2 people have the right name cards if they all start out mismatched? #math #maths #ProblemSolving #iteachmath #mathsky

b). With 5 people at the meeting, sketch a way to place the name cards such that they’re all mismatched. Can you always rotate the table such that at least 2 people have the right name cards? #math #maths #ProblemSolving #iteachmath #mathsky

Happy Monday! This week's problem's inspired by the 1975 CMO Q6i. a). 4 people (ABCD) are at a table for a meeting. Sketch a way to place the name cards (abcd) such that they’re all mismatched. Then rotate the table such that at least 2 people have the right name cards. Is this always possible?

So I made a video on this week's problem. youtu.be/MBl-Iy0Ykoo #math #maths #ProblemSolving #iteachmath #mathsky

f). Find θ as an expression of α and β. #math #maths #ProblemSolving #iteachmath #mathsky

e). Find θ. #math #maths #ProblemSolving #iteachmath #mathsky

d). Find θ as an expression of α and β. #math #maths #ProblemSolving #iteachmath #mathsky

c). Find θ. #math #maths #ProblemSolving #iteachmath #mathsky

Aight, in an attempt to make #MathSky feel less broadcast-y and more community-like (inspired by @jjnevis.com ), let's try an intro post. Drop your answers below: 1. What part of the world are you in? 2. What's your favourite math branch/topic/problem and why? Say hi to those with similar answers.

b). Find θ as an expression of α. #math #maths #ProblemSolving #iteachmath #mathsky

Happy Labour Day! This week's problem is inspired by the 1975 CMO Q5. a). Find θ. #math #maths #ProblemSolving #iteachmath #mathsky

So the kidlets have been on summer vacation, and I've realized I can't get much done when they're around all day. 😅 I'm pausing the update schedule until school starts again. Here's a video I published before instead. 🙂 youtu.be/a_4bwkH_NK0 #math #maths #ProblemSolving #iteachmath #mathsky

f). Prove that for a Jumping Tiles puzzle in an mxn grid to be solvable, the sum of its numbers must be even. #math #maths #ProblemSolving #iteachmath #mathsky

e). Given an mxn grid, how do we tell if a Jumping Tiles puzzle has a solution that includes all tiles in a cycle? #math #maths #ProblemSolving #iteachmath #mathsky

d). Given an mxn grid, how many Jumping Tiles puzzles have a solution that includes all tiles in a cycle? #math #maths #ProblemSolving #iteachmath #mathsky

c). Given an mxn grid, how do we find the Jumping Tiles puzzle(s) with the biggest number of solutions? #math #maths #ProblemSolving #iteachmath #mathsky

b). Given a 2x3 grid, here’s a Jumping Tiles puzzle with 2 solutions. What’s the biggest number of solutions a puzzle in this grid can have? #math #maths #ProblemSolving #iteachmath #mathsky

Happy Monday! This problem is inspired by this X post. buff.ly/oa3jUjI Each number indicates the distance this tile needs to move. A solution rearranges all the tiles in the grid that satisfies all the numbers without overlap. a). In a 2x2 grid, how many puzzles are there that have solutions? #math

So I made this week's problems into a video too... youtu.be/LVZiVkbinTc #math #maths #ProblemSolving #iteachmath #mathsky

f). Give a geometric (non-algebraic) proof for why the midpoints would always trace an ellipse. #math #maths #ProblemSolving #iteachmath #mathsky

e). Give a geometric (non-algebraic) proof for why the midpoints would trace a circle if the two lines are perpendicular. #math #maths #ProblemSolving #iteachmath #mathsky

d). Find the coordinates of the foci of the ellipse traced by the midpoints of all n unit long line segments that have 1 end point on the line y=0 and the other on y=bx. #math #maths #ProblemSolving #iteachmath #mathsky

c). Sketch the shape traced by the midpoints of all 2 unit long line segments that have 1 end point on the line y=0 and the other on y=x/2. Derive the equation of its locus. #math #maths #ProblemSolving #iteachmath #mathsky

b). Sketch the shape traced by the midpoints of all 2 unit long line segments that have 1 end point on the line y=0 and the other on y=x. Derive the equation of its locus. #math #maths #ProblemSolving #iteachmath #mathsky

Happy Monday! This week's problems are inspired by the 1970 Canadian MO Q8. Consider all 2 unit long line segments that have 1 end point on the line y=0 and the other on x=0. a). Sketch the shape traced by the midpoints of all these line segments and derive the equation of its locus.

So I made a video of this week's problems too... youtu.be/wmwq2ONhF4E #math #maths #ProblemSolving #iteachmath #mathsky

f). Given any set of distinct pairs of identical natural numbers, how can we tell if it can be arranged in this way? #math #maths #ProblemSolving #iteachmath #mathsky

e). What’s the maximum number of pairs of numbers we can remove from pairs of natural numbers 1 to 6 so that the remaining numbers can still be arranged in this way? #math #maths #ProblemSolving #iteachmath #mathsky

d). For pairs of natural numbers 1 to 5, if we remove one pair of numbers so that it’s possible to arrange the rest in this way, which pair can it be? #math #maths #ProblemSolving #iteachmath #mathsky

c). For which natural numbers n is this doable for pairs of natural numbers 1 to n? Why? #math #maths #ProblemSolving #iteachmath #mathsky

b). Is this doable for pairs of natural numbers 1 to 5? What about 1 to 6? 1 to 7? #math #maths #ProblemSolving #iteachmath #mathsky