Showing posts with label Area. Show all posts
Showing posts with label Area. Show all posts

Friday, October 25, 2019

Area In Addition To Volume

Every maths region should ain a giant lawn tennis ball! Walk into the classroom alongside a large fluorescent ball nether your arm in addition to you've at in i lawsuit got the attending of the class.

Students stand upwards inwards a circle in addition to are told they're entirely allowed to speak if they're belongings the ball. Ask "how could nosotros function out the surface surface area of this ball?" in addition to throw it to a random student. Students throw the ball around the circle equally they portion their thoughts in addition to propose ideas. At some signal a instructor prompt may last necessary, along the lines of, "why did I select a lawn tennis ball? Why non a football game or netball or golf game ball?". In my sense this prompt may atomic number 82 some students to 'eureka' moments equally they starting fourth dimension thinking almost the markings on the surface of the lawn tennis ball. Eventually mortal volition topographic point that the surface is made upwards of iv circles wrapped around each other, in addition to they tin so deduce that the formula for the surface surface area is 4πr2. If they demand convincing, demonstrate them this slide.


This is a rattling engaging activity. As pupils can't speak unless they're belongings the ball, you'll run across them wildly waving their arms about, silently begging their friends to exceed them the ball so they tin portion their ideas!

Try it - I'd dear to listen how it goes.

Area in addition to majority is a broad ranging topic, from areas of triangles inwards Year seven to volumes of hemispheres in addition to frustums inwards Year 11. Here's a handful of my favourite resources:
For related degree intelligence - why produce nosotros nation hemisphere but semicircle? Why non semisphere or hemicircle? I believe it's because the intelligence circle is from the Latin intelligence circus (meaning ring), thus nosotros purpose the Latin prefix semi, whereas sphere is from the Greek intelligence sphaira (ball), thus nosotros purpose the Greek prefix hemi. This article almost semi/hemi/demi gives to a greater extent than examples. If y'all similar this so y'all powerfulness also similar these lovely maths vocabulary activities.

Finally, here's i for the teachers. It's non equally obvious equally it seems!








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Thursday, October 24, 2019

5 Maths Gems #4

Well the summertime holidays are good too genuinely over. Many teachers, specially those who are relatively novel to teaching, volition pass this weekend making lists, planning lessons too experiencing that unsettling feeling of nervous excitement. If yous stimulate got fourth dimension to read this week's laid of maths gems, I promise they furnish a piffling lite relief.

1. Maths lessons for maths teachers
I devote a lot of fourth dimension to thinking well-nigh how to railroad train my teaching but pass far less fourth dimension edifice on my ain mathematical skills too knowledge. Whatever our background too all the same 'good' nosotros are at maths, there's e'er to a greater extent than to learn. For example, I’ve never studied whatever mechanics inwards my life (I did Pure Maths H5N1 plane too a statistics degree) but SUVAT is on the novel GCSE syllabus too hence I'd improve discovery out what it is.

I experience that my cognition of secondary schoolhouse core mathematics is pretty audio but this calendar week Ed Southall (@edsouthall) inadvertently pointed me inwards the management of James Tanton's website (@jamestanton) and inside minutes I was learning novel things! Here's a few examples.

If asked to sketch the graph of y = x2 + 4x + 5, I'd realise that it can't live factorised too hence I'd banking concern tally the discriminant to confirm that this component subdivision has no existent roots. My side past times side footstep would live to consummate the foursquare to create upwards one's heed the vertex. I don't similar completing the square. I've never thought to discovery the vertex using this post written past times a pupil I works life out that inwards Republic of Lithuania 1st September is a 'celebration of cognition day'. Also, inwards the Lithuanian equivalent of our Year 13, they stimulate got a '100 twenty-four hours celebration' inwards which they stimulate got a prom to commemorate that they stimulate got exclusively 100 days left of school. The balance of the post is to a greater extent than oft than non well-nigh wearing clothing shopping for Lithuanian teenagers, too hence non quite too hence interesting... I'd similar to discovery out to a greater extent than well-nigh traditions inwards instruction around the world.

3. Plenaries, extensions, puzzles too loyalty cards
misstait.wordpress.com
This brilliant 'Finished? Try 1 of these...' display got me thinking well-nigh the materials I create for my early on finishers. The creator of this display, Kerry Tait (@misstait_85), wrote a blog post describing the review tasks contained within, which are intended to encourage students to reverberate on their learning. This is a actually prissy idea. Kerry is a scientific discipline instructor but this would piece of work as good inwards maths.

At the goal of my lessons I tend to become for extension activities rather than reflection tasks. In every lesson I give extension piece of work to the appropriate pupils at the appropriate time. My students know that I'm actually impressed if they stimulate got a become at the extension fabric but at the same fourth dimension I emphasise that maths isn't a race. There's value inwards occasionally planning a relatively brusk principal exercise too an 'extension' that is accessible to all, non only the brightest or the quickest. Most people savour beingness stretched. I desire all of my students to come upwards out of maths lessons feeling similar champions.

My extension piece of work is usually a challenging query relating to the lesson topic but sometimes I run puzzles instead. For instance at the goal of a Key Stage iii lesson on the monastic enjoin of operations I give students the classic four fours puzzle. For fifty-fifty an greater challenge there's this sixes puzzle shared by Chris Smith (@aap03102) (I recall my 6th formers would savour this one), or mayhap fifty-fifty something on Friedman numbers.
@edfromo
Here's a few to a greater extent than puzzles too extensions I've come upwards across this week. My schoolhouse has a lunchtime puzzle monastic enjoin for Year 7s too hence these volition come upwards inwards handy at that spot too, too I may gear upwards a weekly puzzle board as suggested past times Mr Duffy (@MrDuffyMaths).

For the 'Finished? Try 1 of these...' display, the creator says that she powerfulness pattern a checklist too prize organization to encourage students to run the total arrive at of reflective tools. This proffer reminded me of a duo of other ideas I saw on Twitter this week. In @CorbettMaths' post well-nigh how to run his 5-a-day questions, he suggests that students lay their completed questions inwards a ballot box too a fortnightly prize describe takes place. He also shared @MissKMcD's loyalty bill of fare ideas which she's explained inwards this weblog post 'Learning amongst Loyalty Cards'.
misskmcd.wordpress.com
4. Everyday lessons
My weblog is well-nigh sharing creative ideas too engaging resources. But my lessons aren't all-singing all-dancing. If yous were to notice most of my lessons you'd run across a pretty measure format of: starter, explanation, discussion, practice, extension. I create create opportunities for students to create investigations too exciting activities but non inwards every unmarried lesson. As yous tin tell past times the championship of my blog, it's actually of import to me that I pick engaging resources. Sometimes that only agency a good designed worksheet. Harry Webb's (@websofsubstance) post well-nigh maths lessons too priorities is good worth a read, specially for NQTs who volition shortly live drowning inwards lesson plans. In my NQT twelvemonth each lesson took me a duo of hours to plan. Four years on, my lessons stimulate got around thirty - 45 minutes to plan, which is soundless totally unsustainable too inefficient but I acquire a chip quicker every year. Being able to acquire proficient resources from my weblog should increase my planning speed as I won't stimulate got to create too hence much hunting for resources.

Harry's post also gave me a novel idea. H5N1 box on the board for students to write downwards the homework questions they works life difficult - such a uncomplicated thought but much improve than how I create it at the moment, which usually involves lots of students talking at me at once!

5. Bits too pieces
Here's a pocket-size choice of the other ideas I saw on Twitter this week:
  • I honey this 'things to create when you're stuck' poster from The Maths Magpie (@TheMathsMagpie).
thegriddle.net
I works life out this calendar week that my term 'maths gems' is totally unoriginal - here's a prissy 'assortment of mathematical marvels' which are also called maths gems. Speaking of nicely designed websites, create stimulate got a await at Mathigon, shared this calendar week past times Chris Watts (@watchri01) - stunning, isn't it?

So that's it for this week. My topic resources posts volition render shortly too I'll also piece of work on a this post written past times a pupil I works life out that inwards Republic of Lithuania 1st September is a 'celebration of cognition day'. Also, inwards the Lithuanian equivalent of our Year 13, they stimulate got a '100 twenty-four hours celebration' inwards which they stimulate got a prom to commemorate that they stimulate got exclusively 100 days left of school. The balance of the post is to a greater extent than oft than non well-nigh wearing clothing shopping for Lithuanian teenagers, too hence non quite too hence interesting... I'd similar to discovery out to a greater extent than well-nigh traditions inwards instruction around the world.

3. Plenaries, extensions, puzzles too loyalty cards
misstait.wordpress.com
This brilliant 'Finished? Try 1 of these...' display got me thinking well-nigh the materials I create for my early on finishers. The creator of this display, Kerry Tait (@misstait_85), wrote a blog post describing the review tasks contained within, which are intended to encourage students to reverberate on their learning. This is a actually prissy idea. Kerry is a scientific discipline instructor but this would piece of work as good inwards maths.

At the goal of my lessons I tend to become for extension activities rather than reflection tasks. In every lesson I give extension piece of work to the appropriate pupils at the appropriate time. My students know that I'm actually impressed if they stimulate got a become at the extension fabric but at the same fourth dimension I emphasise that maths isn't a race. There's value inwards occasionally planning a relatively brusk principal exercise too an 'extension' that is accessible to all, non only the brightest or the quickest. Most people savour beingness stretched. I desire all of my students to come upwards out of maths lessons feeling similar champions.

My extension piece of work is usually a challenging query relating to the lesson topic but sometimes I run puzzles instead. For instance at the goal of a Key Stage iii lesson on the monastic enjoin of operations I give students the classic four fours puzzle. For fifty-fifty an greater challenge there's this sixes puzzle shared by Chris Smith (@aap03102) (I recall my 6th formers would savour this one), or mayhap fifty-fifty something on Friedman numbers.
@edfromo
Here's a few to a greater extent than puzzles too extensions I've come upwards across this week. My schoolhouse has a lunchtime puzzle monastic enjoin for Year 7s too hence these volition come upwards inwards handy at that spot too, too I may gear upwards a weekly puzzle board as suggested past times Mr Duffy (@MrDuffyMaths).

For the 'Finished? Try 1 of these...' display, the creator says that she powerfulness pattern a checklist too prize organization to encourage students to run the total arrive at of reflective tools. This proffer reminded me of a duo of other ideas I saw on Twitter this week. In @CorbettMaths' post well-nigh how to run his 5-a-day questions, he suggests that students lay their completed questions inwards a ballot box too a fortnightly prize describe takes place. He also shared @MissKMcD's loyalty bill of fare ideas which she's explained inwards this weblog post 'Learning amongst Loyalty Cards'.
misskmcd.wordpress.com
4. Everyday lessons
My weblog is well-nigh sharing creative ideas too engaging resources. But my lessons aren't all-singing all-dancing. If yous were to notice most of my lessons you'd run across a pretty measure format of: starter, explanation, discussion, practice, extension. I create create opportunities for students to create investigations too exciting activities but non inwards every unmarried lesson. As yous tin tell past times the championship of my blog, it's actually of import to me that I pick engaging resources. Sometimes that only agency a good designed worksheet. Harry Webb's (@websofsubstance) post well-nigh maths lessons too priorities is good worth a read, specially for NQTs who volition shortly live drowning inwards lesson plans. In my NQT twelvemonth each lesson took me a duo of hours to plan. Four years on, my lessons stimulate got around thirty - 45 minutes to plan, which is soundless totally unsustainable too inefficient but I acquire a chip quicker every year. Being able to acquire proficient resources from my weblog should increase my planning speed as I won't stimulate got to create too hence much hunting for resources.

Harry's post also gave me a novel idea. H5N1 box on the board for students to write downwards the homework questions they works life difficult - such a uncomplicated thought but much improve than how I create it at the moment, which usually involves lots of students talking at me at once!

5. Bits too pieces
Here's a pocket-size choice of the other ideas I saw on Twitter this week:
  • I honey this 'things to create when you're stuck' poster from The Maths Magpie (@TheMathsMagpie).
  • I discovered a website for maths animations - mathimation.co.uk. New stuff is beingness added all the fourth dimension too hence follow @mathimation for updates.
  • Anna Hester (@TypeAMathLand) shared an infographic syllabus - I borrowed her thought too made a 'brief guide to AS plane maths' infographic for my Year 12s. It was fun too straight off I'm looking for other things to infograph!
  • I actually enjoyed JemmaPDuck's (@JemmaPDuck) blog post well-nigh her commencement twenty-four hours back, lots of teaching ideas here.
  • There's far likewise much shape filling inwards our lives, but here's some forms I read well-nigh via Twitter this calendar week that may live useful for conduct management. These powerfulness non appeal to everyone, but are worth a look.
  • Mr Taylor (@taylorda01) has been making some amazing video problems - this one is specially terrifying too hence students volition honey it.
  • Mr Collins (@mrprcollins) created these incredible last gems post. Using her template, I created a Pythagoras homework too recall to brand some more. I'd honey to part a big arrive at of Pret homeworks too hence delight e-mail me resourceaholic@gmail.com if yous brand 1 that you're happy to share.
    Pythagoras Pret Homework

    Those of yous going dorsum to schoolhouse side past times side week, proficient luck! I'd actually appreciate it if you'd hollo resourceaholic.com to your colleagues.  I'll acquire out yous amongst a prissy maths occupation for your Key Stage iii students - this 1 was shared past times F chiliad Jones (@FMJonesMaths).



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5 Maths Gems #7

Common practise of successful departments' too 'What I learnt today' - both are good worth a read, especially for teachers of Influenza A virus subtype H5N1 marker maths.

Influenza A virus subtype H5N1 lot of the inspiration behind today's maths gems has come upward from teachers' blogs - I'm incredibly grateful to those who convey the fourth dimension to part their ideas too experiences for the create goodness of others.

1. Interactive Areas
Computer-based tools receive got made it easier to explicate some mathematical concepts too generate interesting questions. It's fantastic when technology enhances too enriches mathematics education.
I of late tweeted this colourful example which shows that nosotros tin cutting a circle into sectors too rearrange them to create upward one's hear the expanse (taken from @edfromo's Google+ post). @fmaths42 replied amongst this vivid applet which illustrates the same matter inwards really clear interactive steps. Never earlier receive got I seen the formula for the expanse of a circle explained so clearly (and did y'all run across the 'proof without words' video inwards Maths Gems 4? That was skillful too).

Another fantabulous interactive tool is 'Investigating Triangle Area' (via @mathslinks). My students are ever happy to convey that a right angled triangle is one-half a rectangle, but are non so easily convinced for non-right angled triangles. The tool illustrates the fact past times allowing students to rearrange triangles into rectangles (click on subdivide too and then rotate too interpret the exceed sections).

2. Estimation
Examples from estimation180.com
I've seen a lot of American teachers tweet close Common practise of successful departments' too 'What I learnt today' - both are good worth a read, especially for teachers of Influenza A virus subtype H5N1 marker maths.

Influenza A virus subtype H5N1 lot of the inspiration behind today's maths gems has come upward from teachers' blogs - I'm incredibly grateful to those who convey the fourth dimension to part their ideas too experiences for the create goodness of others.

1. Interactive Areas
Computer-based tools receive got made it easier to explicate some mathematical concepts too generate interesting questions. It's fantastic when technology enhances too enriches mathematics education.
I of late tweeted this colourful example which shows that nosotros tin cutting a circle into sectors too rearrange them to create upward one's hear the expanse (taken from @edfromo's Google+ post). @fmaths42 replied amongst this vivid applet which illustrates the same matter inwards really clear interactive steps. Never earlier receive got I seen the formula for the expanse of a circle explained so clearly (and did y'all run across the 'proof without words' video inwards Every Math Teacher inwards the World Should Do This...Right Now!' by @nathankraft1 (shared amongst me past times @DianeMaths) y'all tin run across students working on whiteboards but about the classroom (I wishing my classroom was this big!).


Nathan enthusiastically says, 'When students are working on the whiteboards, I tin run across everything happening at once. It's similar I'm looking at the freaking Matrix. With a quick glance, I tin run across which students got it, which students are making kid mistakes, too which students receive got no sentiment what's going on. I tin apace position errors for students. I tin inquire a stronger educatee to help a struggling one. Once a educatee has the right answer, I yell, "Great! Erase it! Next problem!"'. His enthusiasm has rubbed off on me. I desire to endeavour it! And earlier y'all disregard this sentiment because y'all don't receive got a room total of whiteboards, deport inwards hear that whatever vertical surface will create - endeavour writing on windows or using Common practise of successful departments' too 'What I learnt today' - both are good worth a read, especially for teachers of Influenza A virus subtype H5N1 marker maths.

Influenza A virus subtype H5N1 lot of the inspiration behind today's maths gems has come upward from teachers' blogs - I'm incredibly grateful to those who convey the fourth dimension to part their ideas too experiences for the create goodness of others.

1. Interactive Areas
Computer-based tools receive got made it easier to explicate some mathematical concepts too generate interesting questions. It's fantastic when technology enhances too enriches mathematics education.
I of late tweeted this colourful example which shows that nosotros tin cutting a circle into sectors too rearrange them to create upward one's hear the expanse (taken from @edfromo's Google+ post). @fmaths42 replied amongst this vivid applet which illustrates the same matter inwards really clear interactive steps. Never earlier receive got I seen the formula for the expanse of a circle explained so clearly (and did y'all run across the 'proof without words' video inwards related post summarises the benefits of 'Vertical Non-Permanent Surfaces':
  • Improves visibility.
  • Allows for transfer of noesis but about the room.
  • Non-Permanent removes fearfulness of writing.
  • Formative assessment past times instructor at all times.
  • Teacher tin respond questions past times having students await at others work.

Influenza A virus subtype H5N1 related sentiment comes from Common practise of successful departments' too 'What I learnt today' - both are good worth a read, especially for teachers of Influenza A virus subtype H5N1 marker maths.

Influenza A virus subtype H5N1 lot of the inspiration behind today's maths gems has come upward from teachers' blogs - I'm incredibly grateful to those who convey the fourth dimension to part their ideas too experiences for the create goodness of others.

1. Interactive Areas
Computer-based tools receive got made it easier to explicate some mathematical concepts too generate interesting questions. It's fantastic when technology enhances too enriches mathematics education.
I of late tweeted this colourful example which shows that nosotros tin cutting a circle into sectors too rearrange them to create upward one's hear the expanse (taken from @edfromo's Google+ post). @fmaths42 replied amongst this vivid applet which illustrates the same matter inwards really clear interactive steps. Never earlier receive got I seen the formula for the expanse of a circle explained so clearly (and did y'all run across the 'proof without words' video inwards Improving students' collaboration using acrylic sheets'. Jeremy suggests investing inwards clear acrylic sheets that students tin write on. Diagrams, pictures, axes etc tin live on seat underneath. Read his post service for to a greater extent than on this, it actually is a vivid idea.

Next week
A lot of my readers volition live on at La Salle Education's maths conference adjacent week. I’m actually looking frontwards to it. Please come upward too tell howdy if y'all location me. Bear inwards hear that I receive got a 3 calendar month quondam babe who rarely sleeps, so if y'all run across me doze off at whatever betoken too then but laissez passer me a nudge.

I withal promise to write a maths gems post service adjacent week, it volition live on a twenty-four hours belatedly but hopefully total of ideas shared at the conference.

By the way, if y'all didn't grab my concluding post service 'Common practise of successful departments' too 'What I learnt today' - both are good worth a read, especially for teachers of Influenza A virus subtype H5N1 marker maths.

Influenza A virus subtype H5N1 lot of the inspiration behind today's maths gems has come upward from teachers' blogs - I'm incredibly grateful to those who convey the fourth dimension to part their ideas too experiences for the create goodness of others.

1. Interactive Areas
Computer-based tools receive got made it easier to explicate some mathematical concepts too generate interesting questions. It's fantastic when technology enhances too enriches mathematics education.
I of late tweeted this colourful example which shows that nosotros tin cutting a circle into sectors too rearrange them to create upward one's hear the expanse (taken from @edfromo's Google+ post). @fmaths42 replied amongst this vivid applet which illustrates the same matter inwards really clear interactive steps. Never earlier receive got I seen the formula for the expanse of a circle explained so clearly (and did y'all run across the 'proof without words' video inwards Practical tips for a (newly) qualified maths teacher' too then create receive got a look.  It was a pop post service inwards which I shared some ideas for getting organised, so it's non but for NQTs.

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5 Maths Gems #12

This is going to last a relatively curt gems ship service because I'm exhausted from entertaining nineteen toddlers this afternoon at my daughter's 3rd birthday party. So I'll last brief today, but human face a lengthier ship service side past times side calendar week when I've recovered.

1. Area of a circle (again)
In my seventh gems post I shared an applet that beautifully demonstrates how to derive the surface area of a circle past times cutting it into sectors. This calendar week I establish a bright gif that shows the same thing.
This gif is taken from the animatics (animations + mathematics) section of @MathsChallenges' website. The thinking behind this method is neatly explained in Geometry: What is the intuition behind the formula for the surface area of a circle? which was shared this calendar week by @GeometryDad.

2. Standard form
'resources library has unopen to bully ideas.

3. Influenza A virus subtype H5N1 grade resources
I saw this tweet from @DrTrapezio...

as well as thence I checked this out as well as establish that the Cambridge Mathematics Education Project is inviting schools to register equally affiliates to gain early on access to their costless Influenza A virus subtype H5N1 grade maths resources nether development. I'm e'er on the human face out for Influenza A virus subtype H5N1 grade resources as well as thence I registered. There's loads of bully materials on the website as well as I human face forwards to seeing the collection develop. 

Some of the CMEP's resources are instantly featured on NRICH. For example, the question below is bright (and non equally difficult equally it looks...)

I too similar the 'always, sometimes, never' carte form 'Discriminating'.

Extract from Discriminating

And Parabella is a lovely occupation for your Year 12s studying coordinate geometry.

4. Operation Countdown
Influenza A virus subtype H5N1 combination of ideas as well as inventiveness from @LWmathsmatters, @EJmaths as well as @taylorda01 led to this splendid 'Operation Countdown'. I oftentimes role the 'four threes' action equally a plenary inward an monastic state of operations lesson alongside Year 7 but it plant alongside whatsoever historic menses group. I 1 time used it equally a Year xiii starter as well as they actually enjoyed it. The version below involves 5 threes but it's the same idea.
This painting demo is from @taylorda01. @EJmaths also made this PowerPoint which includes a dark as well as white version.

5. #units #ruler #workings 
I read the ship service 'Hashtag closure' past times A identify for gimmicks?'). David's ship service is virtually using a hashtag to summarise a lesson. 

Then A Frenzy of Marking: 'Progress Over Time' virtually feedback stickers. When I mark, I create honour that I write the same thing over as well as over again, as well as thence stickers would salvage me a lot of time. Problem is, I'm non organised plenty to role stickers. I create my marker inward a multifariousness of locations as well as unremarkably simply receive got a cherry pen to hand. Hashtags volition operate simply equally good equally stickers, equally long equally my students sympathise the important of the hashtags.

When I grade I'm non succinct enough. For instance I oftentimes write 'please become to assist lodge at 1.30pm on Midweek inward Room 111 for assist alongside this topic'. Instead, I could write #helpclub. I too write things similar 'Look at the query - y'all were meant to circular your reply to 1 important figure'. I could simply write #rounding. My students volition learn what I hateful (especially if they receive got this key inward their practise books) as well as it volition salvage me loads of time. "What's the indicate inward the # symbol?" I take away heed y'all inquire - well, yes, the symbol isn't essential, but #MrsMorganLikesHashtags as well as they're non doing whatsoever impairment are they? :)

So that's it - 5 quick gems from a busy mathematical mum. I was planning to characteristic unopen to thoughts virtually the value (or lack of value) of iPads inward maths teaching today but didn't learn fourth dimension to create the inquiry required, as well as thence volition salvage that for my side past times side gems post.

I'm too planning to write a ship service virtually circle theorems side past times side week. I've got unopen to ideas but if you
receive got an interesting agency of teaching circle theorems or whatsoever amazing resources, delight allow me know.

Also, don't forget to banking concern friction match out my other website, prethomework.weebly.com - the extensive collection has grown over half-term.

I'll exit y'all alongside a base of operations eleven abacus which I recollect is cute but volition annoy @solvemymaths (see his ship service 'My Base eleven Abacus Bugbear').


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5 Maths Gems #29

Hello too welcome to my 29th Maths Gems. This is where I portion 5 instruction ideas too resources I've seen on Twitter.

1. Nix the Tricks Videos
I've long been a fan of the majority Nix the Tricks - I intend it should live compulsory reading for all trainee maths teachers. I'm excited to come across that Owen Tabbert (@OTmath) is making a serial of Nix the Tricks videos for teachers. I intend these videos are going to live incredibly useful - non exclusively for non-specialists too anyone preparing to learn maths for the start time, but too for experienced teachers reflecting on how they explicate mathematical concepts. There's exclusively 2 videos thus far, but to a greater extent than to come. This video almost the concept of 'borrowing' inwards subtraction is excellent:



 2. #AlmostMondayMaths
I like @OxfordEdMaths' novel tweeting initiative. Every Lord's Day at 7.15pm they tweet a maths enquiry for teachers to role inwards the calendar week ahead, using the hashtag #AlmostMondayMaths. Here's a duet of examples of what they've shared thus far:
#AlmostMondayMaths - rounding
#AlmostMondayMaths - algebra
3. Radians too Quadrants
Thanks to Meg Craig (Unit Circle too Radians' from Math Teacher Mambo (@MTMambo) which is almost instruction radians using cut-out pieces representing diverse angles (π/4, π/3, π/6 etc).
When I learn Year 12 students to role a quadrant when solving trigonometric equations, they (just about!) sympathise where to depict angles inwards degrees but uncovering it actually difficult to travel inwards radians. I've previously written almost helping students to understand radians, but I've non seen this lovely template approach before.

4. Problems from MathsPad
MathsPad is ane of my favourite resources websites. I'm actually pleased that James (@MathsPadJames) and Nicola (@MathsPadNicola) from MathsPad are directly on Twitter because they're sum of adept ideas. Do cheque out the problems too weblog posts that James tweets, similar this cuboid problem:

The website MathsPad has lots of complimentary resources too the balance are available for a small-scale subscription charge. All of their resources are excellent.

5. Grange Maths Camp
I'm rattling impressed past times the dedication of Chris Smith (@aap03102) too his colleagues who gave upwardly a weekend to run a maths army camp for their Sixth Form students. I'm too impressed that thus many students attended - I can't fifty-fifty larn my students to attend a thirty infinitesimal lunchtime revision session! If you lot haven't nevertheless read Chris' report of the sense thus create conduct maintain a hold off - it's inspiring stuff. It sounds similar Chris' students volition live rattling good prepared for their upcoming exams. 

Update
I conduct maintain ane to a greater extent than calendar week alongside my Year 11s too 12s earlier they start Study Leave. In my concluding Year eleven maths lesson this Fri I innovation to role this bright 'last year. 
I'm a Year eleven shape tutor thus there's a lot going on this calendar week (including enough of cake eating!). Next calendar week I'll live making certain that the members of my tutor grouping larn to their GCSE exams on time. After one-half term I start my novel chore at Glyn School inwards Epsom (only iii weeks to become - it's been a long hold off since I was offered the chore inwards December!).

If you lot learn GCSE classes thus I recommend you lot read '#mathsconf2015 inwards Birmingham. 

Although I've been adding lots of novel resources to my libraries, I've non written many novel weblog posts lately. That's because I've been actually busy both at schoolhouse too at home. It was my youngest daughter's Christening on Lord's Day thus I had to create a lot of organising. Now that's done I'll conduct maintain fourth dimension to write some posts - create allow me know if there's whatsoever specific topics you'd similar me to write about. Last fourth dimension I asked for postal service suggestions, I ended upwardly writing iii challenging posts - algebra, fractions too calculus. I'm cook for some other challenge!



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5 Maths Gems #30

Hi in addition to welcome to my 30th gems post. This is where I part unopen to of the best teaching ideas I've seen on Twitter.

1. Construction Comics
Back inward Gems 4 I featured Paul Collins' (comic resources for teaching constructions. In his post he suggests unopen to opportunities to role these resources inward the classroom.
One of Paul Collins' structure comic strips 
I haven't taught constructions this twelvemonth therefore I've non nonetheless had a peril to role these resources, or the awesome Gems 21).

I loved the function shared yesteryear my namesake Mrs Morgan (@em0rgan) on Twitter this week. She asked her students to do their ain structure comic strips for homework. The results facial expression excellent. I'm non ordinarily a fan of homeworks similar this because they're therefore fourth dimension consuming (both for students to attain in addition to teachers to mark) in addition to oftentimes they don't add together much value. But inward this instance I intend at that spot is value inward students learning the procedures yesteryear documenting the steps, inward add-on to practising the constructions.
2. Influenza A virus subtype H5N1 Level Resources
Thanks to @OxfordEdMaths for sharing a fix of excellent A degree assessments for C1 - C4, D1, D2, FP1, FP2, M1, M2, S1 in addition to S2. It tin move difficult to discovery sources of skilful Influenza A virus subtype H5N1 degree questions. These gratis resources are going to move incredibly helpful side yesteryear side twelvemonth for theme assessments, homeworks or revision.
Speaking of Influenza A virus subtype H5N1 degree resources, do banking enterprise gibe out the website 0a explains: Calculus (with pics in addition to gifs) -thanks to @mathhombre in addition to @solvemymaths for sharing this. I honey the pictures in addition to gifs on this website - they mightiness assist teachers explicate concepts inward calculus.


3. Homework Expectations
I've only discovered MathFour.com from Bon Crowder - it's total of creative ideas, unopen to of which I innovation to characteristic inward hereafter gems posts. One persuasion that I spotted was a 'How to Write Your Math Homework' guide. I'm going to brand a version of this for my novel classes inward September. I can't complain nearly my students' function non coming together my expectations if I haven't made those expectations clear from the outset.
4. Talk a Mile a Minute
Steve Wyborney (@SteveWyborney) shared his Talk a Mile a Minute Vocabulary Activity. The video below describes the action inward detail. It involves students describing sets of words to their partner in addition to therefore discussing what those words relate to. I intend this would move a nifty action for an halt of twelvemonth lesson. Have a facial expression at Steve's post for resources. If you're looking for words for this action therefore try this Vocabulary Checklist for Key Stage 3.  
5. Activities
I've seen unopen to lovely activities in addition to questions on Twitter this week.

@MathedUp shared this 'Negative numbers code-breaker action amongst a twist'.

Gems 29.

@DJUdall shared this action which links solving equations amongst surface area in addition to perimeter.

@DJUdall too shared a enquiry he made which combines Pythagoras' Theorem in addition to Standard Form. 
The latter 2 resources were shared during concluding Sunday's #mathsTLP. This is a nifty identify for maths teachers to collaborate. Do bring together inward on Sundays at 7pm to inquire for assist amongst lessons or to offering ideas.

Update
Because my examine classes are directly on report move out I had fourth dimension to innovation unopen to actually overnice lessons this week. With my Year 10s I did a lesson on similar triangles using resources from the Mathematics Assessment Project. They had to variety viii pairs of triangles into 'similar', 'not similar' or 'can't tell', drawing on their noesis of angle facts. This project is a lot harder than it sounds in addition to takes nearly 45 minutes to complete. I actually recommend it - here's an instance of the function they produced therefore y'all tin consider what it involves.
I talked to all my students nearly palindromic numbers this calendar week (I remembered to holler it every fourth dimension I wrote the appointment on the board, because the dates were palindromic when written inward the format m/dd/yy). Although many of my students could compass me an instance of a give-and-take that is the same forwards in addition to backward (eg racecar), most were non familiar amongst the give-and-take palindrome.

Those of y'all who role Gems 10) for formative assessment volition move pleased to listen that y'all tin directly insert pictures. For instance y'all mightiness desire to insert questions from www.diagnosticquestions.com.

That's it from me for now, but at that spot volition move unopen to other gems post shortly because there's been loads of nifty materials on Twitter lately. Wish me luck amongst my concluding calendar week at my electrical flow school! My novel project starts later half-term.

I'll move out y'all amongst this GCSE resource by thornn on TES (shared by @eggarsmaths on Twitter) which y'all mightiness discovery useful for concluding infinitesimal examine tips over the coming weeks.






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