On one line, 7 spaces added together to equal 14. On the second line, 4 spaces added together to equal 14.
d). Write 14 as the sum of 7 consecutive integers, and then write it as the sum of 4 consecutive integers. What do you notice about the lists?
#math #maths #ProblemSolving #iteachmath #mathsky
Finished one of our books? Take a picture of the question you made in Chapter 7, post it to bsky and tag us (@makeaproblem.bsky.social) in the post, and you can receive a free new copy of the book to share with a friend. #MathSky #PromoSunday
mybook.to/hTtGl
I'd say spotting and verifying patterns is the backbone of a good math problem, and I think you're doing great, especially for the middle of the night. 😊
I tried not to be repetitive, so I left out the other odd number cases similar to b. Check out sums of 7 or 9 numbers and see what you find.
c). Which positive integers can be expressed as the sum of 6 consecutive positive integers?
#math #maths #ProblemSolving #iteachmath #mathsky
At what grade should math become an elective course?
1️⃣ Gr. 7-8. Most basics are taught by then.
2️⃣ Gr. 9-10. Powers and similar figures are useful.
3️⃣ Gr. 11-12. Some trig and radicals are useful.
4️⃣ University. Function overviews are useful.
📊 Show results
b). Which positive integers can be expressed as the sum of 5 consecutive positive integers?
#math #maths #ProblemSolving #iteachmath #mathsky
#hottake: Part of why our kids struggle with math IS because they don't spend enough time with problems where they have to figure out what tools to use out of everything they've learned. They'd struggle with vocabulary too if we only ever gave them vocabulary lists and not books to read. #MathSky
#hottake: The quickest way to learn one math skill is through drills of that skill, but the quickest way to build overall math competence is through problems that draw on any number of skills at once, the same way reading builds general vocabulary faster than vocabulary lists. #MathSky
This problem is inspired by the 1976 Canadian Math Olympiad Q5.
a). Which positive integers can be expressed as the sum of two consecutive positive integers?
#math #maths #ProblemSolving #iteachmath #mathsky
If you liked this problem, I made it into a book, so you can share it without giving away the solutions.
mybook.to/j6swxB
#MarketingMonday #MathSky
So I made this problem into a video.
youtu.be/-bJjO463dwY
#MathSky #ProblemSolving #Math
In the process of exploration of this problem, I’ve changed the grade level rating many times because I couldn’t’ decide when it’s appropriate to introduce kids to the idea of counting principles. #MathSky #StorySaturday
Three cubes arranged in an L shape with two in the front row and one in the back row on the right. Two green dots mark the front bottom left corner of the front row and the back top right corner of the back row.
f). How many ways are there to walk along the grid lines from the front bottom left to the back top right without visiting any intersection more than once?
#math #maths #ProblemSolving #iteachmath #mathsky
What was your favourite math topic to learn, and why did you like it?
#MathSky #Community
Four diagonally connected squares, with two in the top row, both connected to the one in the second row, which is connected to the square in the bottom left. Two green dots mark the bottom left and top right corners of the grid.
e). How many ways are there to walk along the grid lines from the bottom left to the top right without visiting any intersection more than once?
#math #maths #ProblemSolving #iteachmath #mathsky
#hottake: To take kids from learning the alphabet to reading independently, it takes years of daily sustained effort from teachers, parents, and kids themselves against constant resistence of "it's too hard" and "I don't want to". We give up way too easily in math with problem solving. #MathSky
a 2 by 3 square grid with the top left and bottom right square missing, a green dot on each of the bottom left corner and top right corner.
d). How many ways are there to walk along the grid lines from the bottom left to the top right without visiting any intersection more than once?
#math #maths #ProblemSolving #iteachmath #mathsky
If you're new to our books and live in a region where our books are available on amazon, you can get a free copy of our Finding Paths book. DM us a delivery address and phone number to claim yours. One book per address. #MathSky #PromoSunday
mybook.to/hTtGl
c). For which of the following grids is there more ways to walk along the grid lines from the bottom left to the top right without visiting any intersection more than once?
#math #maths #ProblemSolving #iteachmath #mathsky
How often do you do math for fun (outside of work)?
1️⃣ Everyday!
2️⃣ Once or twice every week or two.
3️⃣ Once a month or so.
4️⃣ I can't remember the last time.
📊 Show results
a 2 by 2 square grid with green points on the bottom left and top right corners
b). How many ways are there to walk along the grid lines from the bottom left to the top right without visiting any intersection more than once?
#math #maths #ProblemSolving #iteachmath #mathsky
#hottake: Some kids who like stories books go on to write for fun, and some of those write professionally for the next generation. In math this cycle is broken. People who do math for fun never realize making math for the next gen is an option since they weren't exposed to it as kids. #MathSky
This problem is inspired by the 1977 Canadian Math Olympiad, Q7.
a). How many ways are there to walk along the grid lines from the bottom left to the top right without visiting any intersection more than once?
#math #maths #ProblemSolving #iteachmath #mathsky
If you liked this problem, I made it into a book, so you can share it without giving away the solutions.
mybook.to/HCRBVX5
#MarketingMonday #MathSky
So I made this problem into a video.
youtu.be/6jZukfZHd-4
#MathSky #ProblemSolving #Math
The most challenging part of putting this problem in video or book form was to think up a scenario where subtraction is not allowed. I started out with measuring water with jugs, but subtraction is so easy there it’s kind of ridiculous that we’d artificially disallow it. #MathSky #StorySaturday
f. If we only use 5-dollar, 6-dollar, and 7-dollar coins, what’s the biggest whole number dollar amount we can’t make in exact change?
#math #maths #ProblemSolving #iteachmath #mathsky