5 Maths Gems #27
Thursday, September 5, 2019
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Hello too welcome to my 27th gems post. This is where I percentage v of the best didactics ideas I've seen on Twitter recently. I'll survive brief today because I experience similar I'm drowning inward marking, reports too lesson planning at the moment! Thankfully it's alone ane calendar week until the Easter holidays, hence there's low-cal at the cease of the tunnel.1. Which One Doesn't Belong?
This website is pure genius from @MaryBourassa. 'Which One Doesn't Belong?' is 'a website dedicated to providing thought-provoking puzzles for math teachers too students alike. There are no answers provided equally at that spot are many different, right ways of choosing which ane doesn't belong'. Here's a duet of examples:
Ask students to honor a argue why each ane doesn't belong. What a fantastic tool for generating interesting shape discussion. Mary welcomes contributions to the website - details too templates are available Pythagoras Lesson. In this lesson Pythagoras problems were seat around the room too students worked inward pairs to solve the problems - they had to introduce their instructor amongst equally many right answers equally they could inward an hour. They had 3 ‘hint’ tokens that they could merchandise inward for assist at whatsoever point. I similar this sentiment - I guide maintain a habit of offering likewise much help, which tin survive counterproductive. The express provide of hint tokens volition encourage perseverance inward students - they'll alone enquire for assist when they really demand it.
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| Spiderbox from illustrativemathematics.org |
Two lovely surd resources were shared on Twitter this week. First upward was @aap03102's excellent surds magic square.
Followed past times some other fix of examples:
5. Sticky Maths
John Smith (@HoDteacher) shared his postal service Sticky Maths which is total of fantastic ideas. Read it now! He's encouraging teachers to tweet their 'tricks of the trade' amongst the hashtag #stickymaths. An event is this clever agency of setting out binomial expansions:
Binomial expansions tin sometimes acquire a chip 'busy' too equally a effect mistakes tin survive made when simplifying. Setting out the workings vertically is a bright idea! It's hence much tidier.
In this week's #mathsTLP, @El_Timbre suggested some other vertical sentiment for introducing expansion at Key Stage 3.
For example 3(2x+1) is 3 lots of (2x + 1) ie:
For example 3(2x+1) is 3 lots of (2x + 1) ie:
(2x + 1)
(2x + 1)
(2x + 1)
This makes the concept clear too simplification easy. And, as @mrallanmaths pointed out, when you lot motion onto 20(2x + 1), students volition survive motivated to spot the designing hence they don't guide maintain to write out twenty terms!
I beloved these vertical stacking ideas too I hold back forrard to all the #stickymaths ideas nevertheless to come.
What I've been upward toI beloved these vertical stacking ideas too I hold back forrard to all the #stickymaths ideas nevertheless to come.
Did you lot read my here. Pythagoras Lesson. In this lesson Pythagoras problems were seat around the room too students worked inward pairs to solve the problems - they had to introduce their instructor amongst equally many right answers equally they could inward an hour. They had 3 ‘hint’ tokens that they could merchandise inward for assist at whatsoever point. I similar this sentiment - I guide maintain a habit of offering likewise much help, which tin survive counterproductive. The express provide of hint tokens volition encourage perseverance inward students - they'll alone enquire for assist when they really demand it.
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| Spiderbox from illustrativemathematics.org |
Two lovely surd resources were shared on Twitter this week. First upward was @aap03102's excellent surds magic square.
Followed past times some other fix of examples:
5. Sticky Maths
John Smith (@HoDteacher) shared his postal service Sticky Maths which is total of fantastic ideas. Read it now! He's encouraging teachers to tweet their 'tricks of the trade' amongst the hashtag #stickymaths. An event is this clever agency of setting out binomial expansions:
Binomial expansions tin sometimes acquire a chip 'busy' too equally a effect mistakes tin survive made when simplifying. Setting out the workings vertically is a bright idea! It's hence much tidier.
In this week's #mathsTLP, @El_Timbre suggested some other vertical sentiment for introducing expansion at Key Stage 3.
For example 3(2x+1) is 3 lots of (2x + 1) ie:
For example 3(2x+1) is 3 lots of (2x + 1) ie:
(2x + 1)
(2x + 1)
(2x + 1)
This makes the concept clear too simplification easy. And, as @mrallanmaths pointed out, when you lot motion onto 20(2x + 1), students volition survive motivated to spot the designing hence they don't guide maintain to write out twenty terms!
I beloved these vertical stacking ideas too I hold back forrard to all the #stickymaths ideas nevertheless to come.
What I've been upward toI beloved these vertical stacking ideas too I hold back forrard to all the #stickymaths ideas nevertheless to come.
Did you lot read my This post gives some background on where the sentiment for the website came from.
2. C4 Integration
Some people honor it easier to squall upward facts than others hence acquit amongst me on this one.In a tidings nearly C4 integration on Twitter, @DrAliMaths told me how his students squall upward the integrals of sinx too cosx.
Remember: 'D'ifferentiation 'D'ecreases the power.
'I'ntegration 'I'ncreases the power.
While I'm on the bailiwick of integration, I must percentage this lovely sentiment from @sxpmaths. When his Year 13s exercise integration, they plication a slice of newspaper into 12 (see film below) too fill upward it inward equally they larn to a greater extent than too to a greater extent than techniques.
3. Hint Tokens
I read a overnice postal service from Pythagoras Lesson. In this lesson Pythagoras problems were seat around the room too students worked inward pairs to solve the problems - they had to introduce their instructor amongst equally many right answers equally they could inward an hour. They had 3 ‘hint’ tokens that they could merchandise inward for assist at whatsoever point. I similar this sentiment - I guide maintain a habit of offering likewise much help, which tin survive counterproductive. The express provide of hint tokens volition encourage perseverance inward students - they'll alone enquire for assist when they really demand it.
|
| Spiderbox from illustrativemathematics.org |
Two lovely surd resources were shared on Twitter this week. First upward was @aap03102's excellent surds magic square.
Followed past times some other fix of examples:
5. Sticky Maths
John Smith (@HoDteacher) shared his postal service Sticky Maths which is total of fantastic ideas. Read it now! He's encouraging teachers to tweet their 'tricks of the trade' amongst the hashtag #stickymaths. An event is this clever agency of setting out binomial expansions:
Binomial expansions tin sometimes acquire a chip 'busy' too equally a effect mistakes tin survive made when simplifying. Setting out the workings vertically is a bright idea! It's hence much tidier.
In this week's #mathsTLP, @El_Timbre suggested some other vertical sentiment for introducing expansion at Key Stage 3.
For example 3(2x+1) is 3 lots of (2x + 1) ie:
For example 3(2x+1) is 3 lots of (2x + 1) ie:
(2x + 1)
(2x + 1)
(2x + 1)
This makes the concept clear too simplification easy. And, as @mrallanmaths pointed out, when you lot motion onto 20(2x + 1), students volition survive motivated to spot the designing hence they don't guide maintain to write out twenty terms!
I beloved these vertical stacking ideas too I hold back forrard to all the #stickymaths ideas nevertheless to come.
What I've been upward toI beloved these vertical stacking ideas too I hold back forrard to all the #stickymaths ideas nevertheless to come.
Did you lot read my post nearly methods for finding a Highest Common Factor? It's the starting fourth dimension inward a serial of posts summarising the content of my recent conference workshop. The residual volition follow over the adjacent duet of weeks.
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| Bonnie Attaway (aka Jo Morgan), Rock Legend |
Speaking of fantastic resources, tomorrow I'll survive using Chris Smith's Easter relay amongst my Year 8s. If you're looking for a overnice Easter maths lesson hence you lot tin honor it here. Enjoy!