Logic Puzzle Love: Shikaku Edition
I'm non certain why I'm notwithstanding surprised when the #MTBoS comes through for me.
Last week, I tweeted almost doing griddler logic puzzles amongst my students. Bowen Kerins tweeted dorsum amongst a proposition of a unlike type of logic puzzle that could hold upwards tied to the math curriculum: shikaku.
Guess what type of puzzle nosotros did the side yesteryear side solar daytime inwards class?
Influenza A virus subtype H5N1 quick google search revealed an article inwards NCTM's Mathematics Teaching inwards the Middle School May 2010 issue yesteryear Jeffrey J. Wanko. Dr. Wanko wrote almost a procedure of introducing students to logic puzzles yesteryear outset showing them a completed puzzle together with having them determine the rules of the puzzle.
I placed the unsolved shikaku puzzle from the article on the SMARTBoard. I asked students to speculate every bit to what the rules of the puzzle were. After a few suggestions, I asked students if it would assist to come across a completed puzzle. They were eager to come across this.
At outset several students proclaimed that this was every bit good difficult or impossible. And, of course, I followed this upwards amongst "This volition possess got about fourth dimension together with effort." In about degree periods, a pupil said this mo work instead of me. #growthmindset It was truly cool to come across the low-cal bulbs going off every bit students studied the screen. Soon, they decided that the circles told how many boxes were inwards each section.
Though, the room chop-chop erupted when i pupil claimed that each department must hold upwards a rectangle. Other students argued that squares were also allowed. Some students claimed that every foursquare was a rectangle. Several classmates were less than convinced.
We also discussed the fact that the rectangles could non overlap, together with the circle could hold upwards placed anywhere inwards the rectangle. With these rules, students were antsy to start a puzzle. I position upwards a puzzle on the board to create every bit a degree from the same NCTM article. Students came upwards i at a fourth dimension together with drew a rectangle where they idea it went. Some students were non using logic to house their rectangles. But, I didn't tell a word. I figured the degree would figure this out eventually. And, they did. They worked together to create the mistakes.
After doing i puzzle every bit a class, I gave students an action canvas amongst four to a greater extent than shikaku puzzles. To have their points for the day, they had to successfully consummate 2 of the puzzles. Most of the students agreed that they liked these puzzles amend than the griddler puzzles from the previous day.
It was eye-opening to hear to students' thinking every bit they worked these puzzles. One pupil claimed that if the circled number was odd, the boxes would e'er hold upwards inwards a direct line. I promise they eventually realized that nine broke this pattern. What they were truly noticing was the departure betwixt prime number together with composite numbers!
I could come across using this every bit a fun introduction to factoring. A 12 rectangle tin possess got dimensions 1X12, 2X6, or 3X4. Students had to visit each of these possibilities when solving the puzzle. I tin also come across using this every bit move of an investigation into comparison surface area together with perimeter.
These got my students thinking which is precisely what I desire them to hold upwards doing during these concluding few weeks subsequently testing together with earlier the terminate of school. Several students came inwards the side yesteryear side solar daytime together with asked for to a greater extent than of these puzzles to do. I fifty-fifty possess got students who aren't enrolled inwards my classes coming to me together with bespeak for logic puzzles because they come across their friends doing them. These puzzles are definitely a keeper!
Here's a link to a pdf file yesteryear the writer of the NCTM article amongst to a greater extent than logic puzzles (including about shikaku puzzles!) to utilisation inwards the classroom. Enjoy!
Last week, I tweeted almost doing griddler logic puzzles amongst my students. Bowen Kerins tweeted dorsum amongst a proposition of a unlike type of logic puzzle that could hold upwards tied to the math curriculum: shikaku.
Guess what type of puzzle nosotros did the side yesteryear side solar daytime inwards class?
Influenza A virus subtype H5N1 quick google search revealed an article inwards NCTM's Mathematics Teaching inwards the Middle School May 2010 issue yesteryear Jeffrey J. Wanko. Dr. Wanko wrote almost a procedure of introducing students to logic puzzles yesteryear outset showing them a completed puzzle together with having them determine the rules of the puzzle.
I placed the unsolved shikaku puzzle from the article on the SMARTBoard. I asked students to speculate every bit to what the rules of the puzzle were. After a few suggestions, I asked students if it would assist to come across a completed puzzle. They were eager to come across this.
At outset several students proclaimed that this was every bit good difficult or impossible. And, of course, I followed this upwards amongst "This volition possess got about fourth dimension together with effort." In about degree periods, a pupil said this mo work instead of me. #growthmindset It was truly cool to come across the low-cal bulbs going off every bit students studied the screen. Soon, they decided that the circles told how many boxes were inwards each section.
Though, the room chop-chop erupted when i pupil claimed that each department must hold upwards a rectangle. Other students argued that squares were also allowed. Some students claimed that every foursquare was a rectangle. Several classmates were less than convinced.
We also discussed the fact that the rectangles could non overlap, together with the circle could hold upwards placed anywhere inwards the rectangle. With these rules, students were antsy to start a puzzle. I position upwards a puzzle on the board to create every bit a degree from the same NCTM article. Students came upwards i at a fourth dimension together with drew a rectangle where they idea it went. Some students were non using logic to house their rectangles. But, I didn't tell a word. I figured the degree would figure this out eventually. And, they did. They worked together to create the mistakes.
After doing i puzzle every bit a class, I gave students an action canvas amongst four to a greater extent than shikaku puzzles. To have their points for the day, they had to successfully consummate 2 of the puzzles. Most of the students agreed that they liked these puzzles amend than the griddler puzzles from the previous day.
It was eye-opening to hear to students' thinking every bit they worked these puzzles. One pupil claimed that if the circled number was odd, the boxes would e'er hold upwards inwards a direct line. I promise they eventually realized that nine broke this pattern. What they were truly noticing was the departure betwixt prime number together with composite numbers!
I could come across using this every bit a fun introduction to factoring. A 12 rectangle tin possess got dimensions 1X12, 2X6, or 3X4. Students had to visit each of these possibilities when solving the puzzle. I tin also come across using this every bit move of an investigation into comparison surface area together with perimeter.
These got my students thinking which is precisely what I desire them to hold upwards doing during these concluding few weeks subsequently testing together with earlier the terminate of school. Several students came inwards the side yesteryear side solar daytime together with asked for to a greater extent than of these puzzles to do. I fifty-fifty possess got students who aren't enrolled inwards my classes coming to me together with bespeak for logic puzzles because they come across their friends doing them. These puzzles are definitely a keeper!
Here's a link to a pdf file yesteryear the writer of the NCTM article amongst to a greater extent than logic puzzles (including about shikaku puzzles!) to utilisation inwards the classroom. Enjoy!
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