Showing posts with label area. Show all posts
Showing posts with label area. Show all posts

Area Together With Volume

Every maths division should ain a giant lawn tennis ball! Walk into the classroom amongst a large fluorescent ball nether your arm as well as you've straight off got the attending of the class.

Students stand upward inwards a circle as well as are told they're solely allowed to speak if they're asset the ball. Ask "how could nosotros operate out the surface surface area of this ball?" as well as throw it to a random student. Students throw the ball around the circle equally they part their thoughts as well as advise ideas. At some quest a instructor prompt may last necessary, along the lines of, "why did I convey 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 showtime thinking virtually the markings on the surface of the lawn tennis ball. Eventually person volition topographic point that the surface is made upward of iv circles wrapped around each other, as well as they tin as well as so deduce that the formula for the surface surface area is 4πr2. If they demand convincing, present them this slide.


This is a really engaging activity. As pupils can't verbalize unless they're asset the ball, you'll run across them wildly waving their arms about, silently begging their friends to move past times them the ball so they tin part their ideas!

Try it - I'd honey to withdraw heed how it goes.

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

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








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5 Maths Gems #4

Well the summertime holidays are good as well as really over. Many teachers, especially those who are relatively novel to teaching, volition pass this weekend making lists, planning lessons as well as experiencing that unsettling feeling of nervous excitement. If y'all create got fourth dimension to read this week's laid of maths gems, I promise they supply a petty calorie-free relief.

1. Maths lessons for maths teachers
I devote a lot of fourth dimension to thinking almost how to railroad train my teaching but pass far less fourth dimension edifice on my ain mathematical skills as well as knowledge. Whatever our background as well as nonetheless 'good' nosotros are at maths, there's ever to a greater extent than to learn. For example, I’ve never studied whatever mechanics inwards my life (I did Pure Maths Influenza A virus subtype H5N1 flat as well as a statistics degree) but SUVAT is on the novel GCSE syllabus as well as then I'd ameliorate uncovering 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 administration 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 as well as then I'd cheque the discriminant to confirm that this constituent has no existent roots. My side past times side pace 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 uncovering the vertex using this post written past times a pupil I flora out that inwards Republic of Lithuania 1st September is a 'celebration of cognition day'. Also, inwards the Lithuanian equivalent of our Year 13, they create got a '100 twenty-four lx minutes catamenia celebration' inwards which they create got a prom to commemorate that they create got solely 100 days left of school. The residuum of the post is to a greater extent than oftentimes than non almost clothing shopping for Lithuanian teenagers, as well as then non quite as well as then interesting... I'd similar to uncovering out to a greater extent than almost traditions inwards teaching around the world.

3. Plenaries, extensions, puzzles as well as loyalty cards
misstait.wordpress.com
This brilliant 'Finished? Try 1 of these...' display got me thinking almost the materials I ready 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 squeamish idea. Kerry is a scientific discipline instructor but this would operate as good inwards maths.

At the destination of my lessons I tend to become for extension activities rather than reflection tasks. In every lesson I give extension operate to the appropriate pupils at the appropriate time. My students know that I'm actually impressed if they create got a become at the extension cloth but at the same fourth dimension I emphasise that maths isn't a race. There's value inwards occasionally planning a relatively curt master copy exercise as well as an 'extension' that is accessible to all, non simply the brightest or the quickest. Most people relish beingness stretched. I desire all of my students to come upwards out of maths lessons feeling similar champions.

My extension operate is usually a challenging inquiry relating to the lesson theme but sometimes I purpose puzzles instead. For event at the destination of a Key Stage iii lesson on the monastic tell 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 relish this one), or perchance fifty-fifty something on Friedman numbers.
@edfromo
Here's a few to a greater extent than puzzles as well as extensions I've come upwards across this week. My schoolhouse has a lunchtime puzzle guild for Year 7s as well as then these volition come upwards inwards handy at that topographic point too, as well as I may prepare a weekly puzzle board as suggested past times Mr Duffy (@MrDuffyMaths).

For the 'Finished? Try 1 of these...' display, the creator says that she mightiness blueprint a checklist as well as prize organisation to encourage students to purpose the total attain of reflective tools. This proposition reminded me of a dyad of other ideas I saw on Twitter this week. In @CorbettMaths' post almost how to purpose his 5-a-day questions, he suggests that students set their completed questions inwards a ballot box as well as a fortnightly prize depict takes place. He also shared @MissKMcD's loyalty carte du jour ideas which she's explained inwards this weblog post 'Learning amongst Loyalty Cards'.
misskmcd.wordpress.com
4. Everyday lessons
My weblog is almost sharing creative ideas as well as engaging resources. But my lessons aren't all-singing all-dancing. If y'all were to uncovering 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 as well as exciting activities but non inwards every unmarried lesson. As y'all tin tell past times the championship of my blog, it's actually of import to me that I pick engaging resources. Sometimes that simply agency a good designed worksheet. Harry Webb's (@websofsubstance) post almost maths lessons as well as priorities is good worth a read, especially for NQTs who volition presently live drowning inwards lesson plans. In my NQT twelvemonth each lesson took me a dyad of hours to plan. Four years on, my lessons accept around xxx - 45 minutes to plan, which is soundless totally unsustainable as well as inefficient but I acquire a flake quicker every year. Being able to acquire skilful resources from my weblog should increase my planning speed as I won't create got to create as well as then much hunting for resources.

Harry's post also gave me a novel idea. Influenza A virus subtype H5N1 box on the board for students to write downward the homework questions they flora difficult - such a uncomplicated thought but much ameliorate than how I create it at the moment, which unremarkably involves lots of students talking at me at once!

5. Bits as well as pieces
Here's a modest option of the other ideas I saw on Twitter this week:
  • I dearest this 'things to create when you're stuck' poster from The Maths Magpie (@TheMathsMagpie).
thegriddle.net
I flora out this calendar week that my term 'maths gems' is totally unoriginal - here's a squeamish 'assortment of mathematical marvels' which are also called maths gems. Speaking of nicely designed websites, create accept a hold off at Mathigon, shared this calendar week past times Chris Watts (@watchri01) - stunning, isn't it?

So that's it for this week. My theme resources posts volition render presently as well as I'll also operate on a this post written past times a pupil I flora out that inwards Republic of Lithuania 1st September is a 'celebration of cognition day'. Also, inwards the Lithuanian equivalent of our Year 13, they create got a '100 twenty-four lx minutes catamenia celebration' inwards which they create got a prom to commemorate that they create got solely 100 days left of school. The residuum of the post is to a greater extent than oftentimes than non almost clothing shopping for Lithuanian teenagers, as well as then non quite as well as then interesting... I'd similar to uncovering out to a greater extent than almost traditions inwards teaching around the world.

3. Plenaries, extensions, puzzles as well as loyalty cards
misstait.wordpress.com
This brilliant 'Finished? Try 1 of these...' display got me thinking almost the materials I ready 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 squeamish idea. Kerry is a scientific discipline instructor but this would operate as good inwards maths.

At the destination of my lessons I tend to become for extension activities rather than reflection tasks. In every lesson I give extension operate to the appropriate pupils at the appropriate time. My students know that I'm actually impressed if they create got a become at the extension cloth but at the same fourth dimension I emphasise that maths isn't a race. There's value inwards occasionally planning a relatively curt master copy exercise as well as an 'extension' that is accessible to all, non simply the brightest or the quickest. Most people relish beingness stretched. I desire all of my students to come upwards out of maths lessons feeling similar champions.

My extension operate is usually a challenging inquiry relating to the lesson theme but sometimes I purpose puzzles instead. For event at the destination of a Key Stage iii lesson on the monastic tell 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 relish this one), or perchance fifty-fifty something on Friedman numbers.
@edfromo
Here's a few to a greater extent than puzzles as well as extensions I've come upwards across this week. My schoolhouse has a lunchtime puzzle guild for Year 7s as well as then these volition come upwards inwards handy at that topographic point too, as well as I may prepare a weekly puzzle board as suggested past times Mr Duffy (@MrDuffyMaths).

For the 'Finished? Try 1 of these...' display, the creator says that she mightiness blueprint a checklist as well as prize organisation to encourage students to purpose the total attain of reflective tools. This proposition reminded me of a dyad of other ideas I saw on Twitter this week. In @CorbettMaths' post almost how to purpose his 5-a-day questions, he suggests that students set their completed questions inwards a ballot box as well as a fortnightly prize depict takes place. He also shared @MissKMcD's loyalty carte du jour ideas which she's explained inwards this weblog post 'Learning amongst Loyalty Cards'.
misskmcd.wordpress.com
4. Everyday lessons
My weblog is almost sharing creative ideas as well as engaging resources. But my lessons aren't all-singing all-dancing. If y'all were to uncovering 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 as well as exciting activities but non inwards every unmarried lesson. As y'all tin tell past times the championship of my blog, it's actually of import to me that I pick engaging resources. Sometimes that simply agency a good designed worksheet. Harry Webb's (@websofsubstance) post almost maths lessons as well as priorities is good worth a read, especially for NQTs who volition presently live drowning inwards lesson plans. In my NQT twelvemonth each lesson took me a dyad of hours to plan. Four years on, my lessons accept around xxx - 45 minutes to plan, which is soundless totally unsustainable as well as inefficient but I acquire a flake quicker every year. Being able to acquire skilful resources from my weblog should increase my planning speed as I won't create got to create as well as then much hunting for resources.

Harry's post also gave me a novel idea. Influenza A virus subtype H5N1 box on the board for students to write downward the homework questions they flora difficult - such a uncomplicated thought but much ameliorate than how I create it at the moment, which unremarkably involves lots of students talking at me at once!

5. Bits as well as pieces
Here's a modest option of the other ideas I saw on Twitter this week:
  • I dearest this 'things to create when you're stuck' poster from The Maths Magpie (@TheMathsMagpie).
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5 Maths Gems #7

Common practise of successful departments' as well as 'What I learnt today' - both are good worth a read, especially for teachers of Influenza A virus subtype H5N1 degree 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 portion their ideas as well as experiences for the produce goodness of others.

1. Interactive Areas
Computer-based tools lead maintain made it easier to explicate some mathematical concepts as well as generate interesting questions. It's fantastic when applied scientific discipline enhances as well as enriches mathematics education.
I late tweeted this colourful instance which shows that nosotros tin cutting a circle into sectors as well as rearrange them to create upward one's involve heed the expanse (taken from @edfromo's Google+ post). @fmaths42 replied amongst this bright applet which illustrates the same matter inwards real clear interactive steps. Never earlier lead maintain I seen the formula for the expanse of a circle explained so clearly (and did y'all come 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 as well as and then rotate as well as interpret the travel past times sections).

2. Estimation
Examples from estimation180.com
I've seen a lot of American teachers tweet close Common practise of successful departments' as well as 'What I learnt today' - both are good worth a read, especially for teachers of Influenza A virus subtype H5N1 degree 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 portion their ideas as well as experiences for the produce goodness of others.

1. Interactive Areas
Computer-based tools lead maintain made it easier to explicate some mathematical concepts as well as generate interesting questions. It's fantastic when applied scientific discipline enhances as well as enriches mathematics education.
I late tweeted this colourful instance which shows that nosotros tin cutting a circle into sectors as well as rearrange them to create upward one's involve heed the expanse (taken from @edfromo's Google+ post). @fmaths42 replied amongst this bright applet which illustrates the same matter inwards real clear interactive steps. Never earlier lead maintain I seen the formula for the expanse of a circle explained so clearly (and did y'all come 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 come across students working on whiteboards unopen to the classroom (I wishing my classroom was this big!).


Nathan enthusiastically says, 'When students are working on the whiteboards, I tin come across everything happening at once. It's similar I'm looking at the freaking Matrix. With a quick glance, I tin come across which students got it, which students are making fry mistakes, as well as which students lead maintain no sentiment what's going on. I tin chop-chop position errors for students. I tin inquire a stronger educatee to tending 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 sweat it! And earlier y'all disregard this sentiment because y'all don't lead maintain a room total of whiteboards, ship inwards involve heed that whatsoever vertical surface will produce - sweat writing on windows or using Common practise of successful departments' as well as 'What I learnt today' - both are good worth a read, especially for teachers of Influenza A virus subtype H5N1 degree 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 portion their ideas as well as experiences for the produce goodness of others.

1. Interactive Areas
Computer-based tools lead maintain made it easier to explicate some mathematical concepts as well as generate interesting questions. It's fantastic when applied scientific discipline enhances as well as enriches mathematics education.
I late tweeted this colourful instance which shows that nosotros tin cutting a circle into sectors as well as rearrange them to create upward one's involve heed the expanse (taken from @edfromo's Google+ post). @fmaths42 replied amongst this bright applet which illustrates the same matter inwards real clear interactive steps. Never earlier lead maintain I seen the formula for the expanse of a circle explained so clearly (and did y'all come across the 'proof without words' video inwards related post summarises the benefits of 'Vertical Non-Permanent Surfaces':
  • Improves visibility.
  • Allows for transfer of cognition unopen to 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' as well as 'What I learnt today' - both are good worth a read, especially for teachers of Influenza A virus subtype H5N1 degree 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 portion their ideas as well as experiences for the produce goodness of others.

1. Interactive Areas
Computer-based tools lead maintain made it easier to explicate some mathematical concepts as well as generate interesting questions. It's fantastic when applied scientific discipline enhances as well as enriches mathematics education.
I late tweeted this colourful instance which shows that nosotros tin cutting a circle into sectors as well as rearrange them to create upward one's involve heed the expanse (taken from @edfromo's Google+ post). @fmaths42 replied amongst this bright applet which illustrates the same matter inwards real clear interactive steps. Never earlier lead maintain I seen the formula for the expanse of a circle explained so clearly (and did y'all come 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 last pose underneath. Read his send service for to a greater extent than on this, it actually is a bright idea.

Next week
A lot of my readers volition last at La Salle Education's maths conference side past times side week. I’m actually looking forrad to it. Please come upward as well as tell how-do-you-do if y'all topographic point me. Bear inwards involve heed that I lead maintain a iii calendar month onetime babe who rarely sleeps, so if y'all come across me doze off at whatsoever betoken as well as then simply laissez passer on me a nudge.

I however promise to write a maths gems send service side past times side week, it volition last a twenty-four hours slow but hopefully total of ideas shared at the conference.

By the way, if y'all didn't grab my final send service 'Common practise of successful departments' as well as 'What I learnt today' - both are good worth a read, especially for teachers of Influenza A virus subtype H5N1 degree 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 portion their ideas as well as experiences for the produce goodness of others.

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

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5 Maths Gems #12

This is going to live on a relatively brusk gems ship service because I'm exhausted from entertaining xix toddlers this afternoon at my daughter's 3rd birthday party. So I'll live on brief today, but facial expression a lengthier ship service side yesteryear 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 yesteryear cutting it into sectors. This calendar week I establish a vivid 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 or too thence corking ideas.

3. H5N1 grade resources
I saw this tweet from @DrTrapezio...

too thence I checked this out too establish that the Cambridge Mathematics Education Project is inviting schools to register every bit affiliates to gain early on access to their gratuitous H5N1 grade maths resources nether development. I'm e'er on the facial expression out for H5N1 grade resources too thence I registered. There's loads of corking materials on the website too I facial expression forrad to seeing the collection develop. 

Some of the CMEP's resources are forthwith featured on NRICH. For example, the question below is vivid (and non every bit difficult every bit it looks...)

I too similar the 'always, sometimes, never' bill of fare form 'Discriminating'.

Extract from Discriminating

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

4. Operation Countdown
H5N1 combination of ideas too inventiveness from @LWmathsmatters, @EJmaths too @taylorda01 led to this first-class 'Operation Countdown'. I frequently role the 'four threes' activeness every bit a plenary inward an monastic say of operations lesson amongst Year 7 but it industrial plant amongst whatever historic menstruum group. I in i lawsuit used it every bit a Year xiii starter too they actually enjoyed it. The version below involves 5 threes but it's the same idea.
This film is from @taylorda01. @EJmaths also made this PowerPoint which includes a dark too white version.

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

Then A Frenzy of Marking: 'Progress Over Time' close feedback stickers. When I mark, I create notice that I write the same thing over too over again, too thence stickers would salve me a lot of time. Problem is, I'm non organised plenty to role stickers. I create my mark inward a multifariousness of locations too unremarkably but receive got a reddish pen to hand. Hashtags volition function but every bit good every bit stickers, every bit long every bit my students empathize the important of the hashtags.

When I grade I'm non succinct enough. For lawsuit I frequently write 'please larn to assistance companionship at 1.30pm on Midweek inward Room 111 for assistance amongst this topic'. Instead, I could write #helpclub. I too write things similar 'Look at the enquiry - yous were meant to circular your reply to i important figure'. I could but write #rounding. My students volition larn what I hateful (especially if they receive got this key inward their practise books) too it volition salve me loads of time. "What's the quest inward the # symbol?" I take away heed yous inquire - well, yes, the symbol isn't essential, but #MrsMorganLikesHashtags too they're non doing whatever terms are they? :)

So that's it - 5 quick gems from a busy mathematical mum. I was planning to characteristic or too thence thoughts close the value (or lack of value) of iPads inward maths didactics today but didn't larn fourth dimension to create the enquiry required, too thence volition salve that for my side yesteryear side gems post.

I'm too planning to write a ship service close circle theorems side yesteryear side week. I've got or too thence ideas but if you
receive got an interesting means of teaching circle theorems or whatever amazing resources, delight allow me know.

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

I'll larn out yous amongst a base of operations eleven abacus which I squall upwards is cute but volition annoy @solvemymaths (see his ship service 'My Base eleven Abacus Bugbear').


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5 Maths Gems #29

Hello as well as welcome to my 29th Maths Gems. This is where I part v education ideas as well as resources I've seen on Twitter.

1. Nix the Tricks Videos
I've long been a fan of the mass Nix the Tricks - I intend it should live compulsory reading for all trainee maths teachers. I'm excited to meet 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 alone for non-specialists as well as anyone preparing to learn maths for the offset time, but besides for experienced teachers reflecting on how they explicate mathematical concepts. There's alone ii videos thus far, but to a greater extent than to come. This video nearly 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 as well as Quadrants
Thanks to Meg Craig (Unit Circle as well as Radians' from Math Teacher Mambo (@MTMambo) which is nearly education 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!) empathise where to draw angles inwards degrees but honour it actually difficult to operate inwards radians. I've previously written nearly 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 straightaway on Twitter because they're amount of expert ideas. Do banking concern lucifer out the problems as well as weblog posts that James tweets, similar this cuboid problem:

The website MathsPad has lots of gratis resources as well as the residual are available for a modest subscription charge. All of their resources are excellent.

5. Grange Maths Camp
I'm really impressed past times the dedication of Chris Smith (@aap03102) as well as his colleagues who gave upwards a weekend to run a maths army camp for their Sixth Form students. I'm besides impressed that thus many students attended - I can't fifty-fifty larn my students to attend a xxx infinitesimal lunchtime revision session! If yous haven't even thus read Chris' report of the sense as well as then create direct keep a hold back - it's inspiring stuff. It sounds similar Chris' students volition live really good prepared for their upcoming exams. 

Update
I direct keep ane to a greater extent than calendar week amongst my Year 11s as well as 12s earlier they start Study Leave. In my terminal Year eleven maths lesson this Fri I excogitation to role this bright 'last year. 
I'm a Year eleven cast 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 undertaking at Glyn School inwards Epsom (only iii weeks to become - it's been a long hold back since I was offered the undertaking inwards December!).

If yous learn GCSE classes as well as then I recommend yous 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 as well as 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 direct keep fourth dimension to write some posts - create permit me know if there's whatever specific topics you'd similar me to write about. Last fourth dimension I asked for shipping suggestions, I ended upwards writing iii challenging posts - algebra, fractions as well as calculus. I'm create for some other challenge!



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5 Maths Gems #30

Hi together with welcome to my 30th gems post. This is where I percentage only about of the best teaching ideas I've seen on Twitter.

1. Construction Comics
Back inwards Gems 4 I featured Paul Collins' (comic resources for teaching constructions. In his post he suggests only about opportunities to role these resources inwards the classroom.
One of Paul Collins' structure comic strips 
I haven't taught constructions this twelvemonth hence I've non nevertheless had a run a hazard to role these resources, or the awesome Gems 21).

I loved the operate 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 unremarkably a fan of homeworks similar this because they're hence fourth dimension consuming (both for students to gain together with teachers to mark) together with oft they don't add together much value. But inwards this instance I intend at that topographic point is value inwards students learning the procedures yesteryear documenting the steps, inwards improver to practising the constructions.
2. Influenza A virus subtype H5N1 Level Resources
Thanks to @OxfordEdMaths for sharing a gear upwards of excellent A degree assessments for C1 - C4, D1, D2, FP1, FP2, M1, M2, S1 together with S2. It tin endure difficult to honor sources of expert Influenza A virus subtype H5N1 degree questions. These gratis resources are going to endure incredibly helpful adjacent twelvemonth for theme assessments, homeworks or revision.
Speaking of Influenza A virus subtype H5N1 degree resources, do banking concern agree out the website 0a explains: Calculus (with pics together with gifs) -thanks to @mathhombre together with @solvemymaths for sharing this. I dear the pictures together with gifs on this website - they mightiness assistance teachers explicate concepts inwards calculus.


3. Homework Expectations
I've only discovered MathFour.com from Bon Crowder - it's total of creative ideas, only about of which I excogitation to characteristic inwards 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 inwards September. I can't complain nearly my students' operate 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 activeness inwards detail. It involves students describing sets of words to their partner together with and hence discussing what those words relate to. I intend this would endure a cracking activeness for an terminate of twelvemonth lesson. Have a facial expression at Steve's post for resources. If you're looking for words for this activeness together with hence try this Vocabulary Checklist for Key Stage 3.  
5. Activities
I've seen only about lovely activities together with questions on Twitter this week.

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

Gems 29.

@DJUdall shared this activeness which links solving equations amongst expanse together with perimeter.

@DJUdall likewise shared a query he made which combines Pythagoras' Theorem together with Standard Form. 
The latter 2 resources were shared during concluding Sunday's #mathsTLP. This is a cracking identify for maths teachers to collaborate. Do bring together inwards on Sundays at 7pm to enquire for assistance amongst lessons or to offering ideas.

Update
Because my examination classes are directly on report acquire out I had fourth dimension to excogitation only about actually prissy lessons this week. With my Year 10s I did a lesson on similar triangles using resources from the Mathematics Assessment Project. They had to kind 8 pairs of triangles into 'similar', 'not similar' or 'can't tell', drawing on their cognition of angle facts. This project is a lot harder than it sounds together with takes nearly 45 minutes to complete. I actually recommend it - here's an instance of the operate they produced hence you lot tin see what it involves.
I talked to all my students nearly palindromic numbers this calendar week (I remembered to yell it every fourth dimension I wrote the appointment on the board, because the dates were palindromic when written inwards the format m/dd/yy). Although many of my students could plough over me an instance of a discussion that is the same frontward together with backward (eg racecar), most were non familiar amongst the discussion palindrome.

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

That's it from me for now, but at that topographic point volition endure only about other gems post presently because there's been loads of cracking materials on Twitter lately. Wish me luck amongst my concluding calendar week at my electrical flow school! My novel project starts afterward half-term.

I'll acquire out you lot amongst this GCSE resource by thornn on TES (shared by @eggarsmaths on Twitter) which you lot mightiness honor useful for concluding infinitesimal examination tips over the coming weeks.






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