Saturday, January 25, 2020

5 Maths Gems #27

Hello in addition to welcome to my 27th gems post. This is where I part v of the best pedagogy ideas I've seen on Twitter recently. I'll last brief today because I experience similar I'm drowning inwards marking, reports in addition to lesson planning at the moment! Thankfully it's exclusively i calendar week until the Easter holidays, thence there's lite at the destination 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 in addition to students alike. There are no answers provided every bit in that place are many different, right ways of choosing which i doesn't belong'.  Here's a twain of examples:
Ask students to uncovering a argue why each i doesn't belong. What a fantastic tool for generating interesting aeroplane discussion. Mary welcomes contributions to the website - details in addition to templates are available Pythagoras Lesson. In this lesson Pythagoras problems were pose unopen to the room in addition to students worked inwards pairs to solve the problems - they had to introduce their instructor amongst every bit many right answers every bit they could inwards an hour. They had 3 ‘hint’ tokens that they could merchandise inwards for deal at whatever point. I similar this take in - I receive got a habit of offering likewise much help, which tin last counterproductive. The express provide of hint tokens volition encourage perseverance inwards students - they'll exclusively inquire for deal 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 laid upward of examples:

5. Sticky Maths
John Smith (@HoDteacher) shared his send 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 instance is this clever agency of setting out binomial expansions:
Binomial expansions tin sometimes acquire a combat 'busy' in addition to every bit a resultant mistakes tin last made when simplifying. Setting out the workings vertically is a bright idea! It's thence much tidier.

In this week's #mathsTLP, @El_Timbre suggested some other vertical take in 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 in addition to simplification easy. And, as @mrallanmaths pointed out, when y'all motility onto 20(2x + 1), students volition last motivated to topographic point the blueprint thence they don't receive got to write out twenty terms!

I honey these vertical stacking ideas in addition to I hold off frontward to all the #stickymaths ideas even thence to come.

What I've been upward to
Did y'all read my here. Pythagoras Lesson. In this lesson Pythagoras problems were pose unopen to the room in addition to students worked inwards pairs to solve the problems - they had to introduce their instructor amongst every bit many right answers every bit they could inwards an hour. They had 3 ‘hint’ tokens that they could merchandise inwards for deal at whatever point. I similar this take in - I receive got a habit of offering likewise much help, which tin last counterproductive. The express provide of hint tokens volition encourage perseverance inwards students - they'll exclusively inquire for deal 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 laid upward of examples:

5. Sticky Maths
John Smith (@HoDteacher) shared his send 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 instance is this clever agency of setting out binomial expansions:
Binomial expansions tin sometimes acquire a combat 'busy' in addition to every bit a resultant mistakes tin last made when simplifying. Setting out the workings vertically is a bright idea! It's thence much tidier.

In this week's #mathsTLP, @El_Timbre suggested some other vertical take in 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 in addition to simplification easy. And, as @mrallanmaths pointed out, when y'all motility onto 20(2x + 1), students volition last motivated to topographic point the blueprint thence they don't receive got to write out twenty terms!

I honey these vertical stacking ideas in addition to I hold off frontward to all the #stickymaths ideas even thence to come.

What I've been upward to
Did y'all read my This post gives some background on where the take in for the website came from.

2. C4 Integration
Some people uncovering it easier to retrieve facts than others thence send amongst me on this one.

In a give-and-take close C4 integration on Twitter, @DrAliMaths told me how his students retrieve the integrals of sinx in addition to cosx.
Seems silly, right? The really adjacent day, I overheard my Year 13s getting inwards a muddle over signs when integrating sinx in addition to cosx. I showed them the sic in addition to cis mnemonic in addition to they loved it! Instant recall of basic facts is really helpful when tackling complex integration problems. I fifty-fifty uncovering myself using this mnemonic now. If I receive got to integrate sinx, I at nowadays mean value '(sic) sine integrates to cos - negative'. Previously I would receive got paused for a 2nd to mean value close it, at nowadays it's automatic thence I tin acquire on amongst the trickier stuff.
And here's some other tip for your Influenza A virus subtype H5N1 aeroplane students from @DrAliMaths:

Remember: 'D'ifferentiation 'D'ecreases the power.
'I'ntegration 'I'ncreases the power.

While I'm on the champaign of study of integration, I must part this lovely take in from @sxpmaths. When his Year 13s exercise integration, they crimp a slice of newspaper into 12 (see flick below) in addition to fill upward it inwards every bit they larn to a greater extent than in addition to to a greater extent than techniques. 

3. Hint Tokens
I read a overnice send service from Pythagoras Lesson. In this lesson Pythagoras problems were pose unopen to the room in addition to students worked inwards pairs to solve the problems - they had to introduce their instructor amongst every bit many right answers every bit they could inwards an hour. They had 3 ‘hint’ tokens that they could merchandise inwards for deal at whatever point. I similar this take in - I receive got a habit of offering likewise much help, which tin last counterproductive. The express provide of hint tokens volition encourage perseverance inwards students - they'll exclusively inquire for deal 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 laid upward of examples:

5. Sticky Maths
John Smith (@HoDteacher) shared his send 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 instance is this clever agency of setting out binomial expansions:
Binomial expansions tin sometimes acquire a combat 'busy' in addition to every bit a resultant mistakes tin last made when simplifying. Setting out the workings vertically is a bright idea! It's thence much tidier.

In this week's #mathsTLP, @El_Timbre suggested some other vertical take in 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 in addition to simplification easy. And, as @mrallanmaths pointed out, when y'all motility onto 20(2x + 1), students volition last motivated to topographic point the blueprint thence they don't receive got to write out twenty terms!

I honey these vertical stacking ideas in addition to I hold off frontward to all the #stickymaths ideas even thence to come.

What I've been upward to
Did y'all read my post close methods for finding a Highest Common Factor? It's the get-go inwards a serial of posts summarising the content of my recent conference workshop. The remainder volition follow over the adjacent twain of weeks.
Ed Southall (@solvemymaths) and I receive got been running #mathsTLP on Lord's Day nights for iii weeks at nowadays in addition to it's going actually well. We've been inundated amongst teachers bespeak for lesson ideas in addition to thankfully there's been a fantastic response on Twitter, amongst loads of inspiring ideas in addition to resources beingness shared. Join inwards on Sundays at 7pm to take in for yourself!

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

Speaking of fantastic resources, tomorrow I'll last using Chris Smith's Easter relay amongst my Year 8s. If you're looking for a overnice Easter maths lesson in addition to thence y'all tin uncovering it here. Enjoy!




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