Thursday, September 5, 2019

5 Maths Gems #27

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.
Spiderbox from illustrativemathematics.org
4. Surds
Two lovely surd resources were shared on Twitter this week. First upward was @aap03102's excellent surds magic square.
And then @MathsPadJames (of awesome website mathspad.co.uk) shared this bright activity:
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:

(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 to
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.
Spiderbox from illustrativemathematics.org
4. Surds
Two lovely surd resources were shared on Twitter this week. First upward was @aap03102's excellent surds magic square.
And then @MathsPadJames (of awesome website mathspad.co.uk) shared this bright activity:
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:

(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 to
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.
Seems silly, right? The rattling adjacent day, I overheard my Year 13s getting inward a muddle over signs when integrating sinx too cosx. I showed them the sic too cis mnemonic too they loved it! Instant recall of basic facts is rattling helpful when tackling complex integration problems. I fifty-fifty honor myself using this mnemonic now. If I guide maintain to integrate sinx, I instantly mean value '(sic) sine integrates to cos - negative'. Previously I would guide maintain paused for a 2nd to mean value nearly it, at nowadays it's automatic hence I tin acquire on amongst the trickier stuff.
And here's some other tip for your Influenza A virus subtype H5N1 grade students from @DrAliMaths:

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
4. Surds
Two lovely surd resources were shared on Twitter this week. First upward was @aap03102's excellent surds magic square.
And then @MathsPadJames (of awesome website mathspad.co.uk) shared this bright activity:
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:

(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 to
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.
Ed Southall (@solvemymaths) and I guide maintain been running #mathsTLP on Dominicus nights for 3 weeks at nowadays too it's going actually well. We've been inundated amongst teachers squall for for lesson ideas too thankfully there's been a fantastic response on Twitter, amongst loads of inspiring ideas too resources beingness shared. Join inward on Sundays at 7pm to watch for yourself!

Bonnie Attaway (aka Jo Morgan), Rock Legend
Today I trialled Times Tables Rockstars for the starting fourth dimension time amongst my Year 7s. It was swell fun. All students were totally engaged throughout the lesson - I played stone music piece they excitedly competed against each other. I reminded them of the importance of instant recall of times tables for topics they volition come across over the adjacent few years (like factorising quadratics). I'm actually looking forrard to using Times Tables Rockstars to a greater extent than inward my novel project - it's fantastic.

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!




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