Animations Together With Simulations

Last night's #mathschat discussion close images gave me in addition to therefore many practiced teaching ideas, I woke upward at 2am to write a list! One affair that came upward was animations. I dear a practiced animation that demonstrates a concept beautifully, in addition to therefore here's a few examples.

blog post) and judging past times the let on of retweets, I gauge others similar it every bit much every bit I do. There's to a greater extent than gifs similar this here. 

The animation below shows how the outside angles of a polygon amount to 360^o. Sometimes it's meliorate to purpose an animation that y'all tin sack suspension in addition to speak through though, in addition to therefore I prefer this animation for outside angles of a polygon. Absorb Learning is an fantabulous website for animations.

Another instance of an animation y'all tin sack suspension during teaching is this 'bisecting an angle' tool. It comes alongside both a clear teaching canvass for students in addition to associated proofs. There are similar pages for every possible construction! As I mentioned inwards a previous post, I loathe teaching constructions, in addition to therefore I honour this real helpful.

Here's some other maths gif. This 1 is for demonstrating the properties of parabolas, every bit taught inwards Further Maths. This tin sack also locomote demonstrated nicely using Desmos.

I also desire to get upward PhET simulations. I don't instruct mechanics exactly I'm told that PhET has lots of bully interactive simulations for demonstrating concepts. 'Balancing Act' is a practiced example. They also convey simulations for Key Stage iii topics such every bit fractions - run across the full maths alternative here. The simulations tin sack locomote downloaded in addition to run from your schoolhouse network. 

Balancing Act - PhET

Aren't nosotros lucky to convey such fantabulous applied scientific discipline to heighten our teaching?

If y'all know of whatever other practiced animations or interactive tools, delight comment below or tweet me.

Pythagoras' Theorem

Pythagoras' Theorem is ane of my favourite topics to teach. In my experience, students quite similar it too. At outset they may hold out intimidated past times the novel as well as seemingly complex mathematics. It's in all probability the outset fourth dimension they've seen words such equally theorem, proof as well as hypotenuse thus no wonder they're apprehensive. But they'll rapidly larn the hang of it.

When H5N1 score students receive got to discovery the distance betwixt 2 points or verify that a triangle is right-angled, their outset thought should hold out Pythagoras. By Year 12, Pythagoras' Theorem should hold out a staple inwards their mathematical toolkit, along alongside other skills such equally arithmetic, fractions, simplifying algebra, using index laws as well as factorising quadratics. In my sentiment these things are the breadstuff as well as butter of secondary schoolhouse higher mathematics.

I'm going to affect briefly on proofs at the terminate of this postal service but my master copy focus is on interesting Pythagoras questions as well as resources for Key Stage 3 as well as 4. Before nosotros start, I should number my commons caveat - there's absolutely loads of fantabulous Pythagoras resources online as well as hither I'm exactly showcasing a small-scale selection.

Interesting Questions
It's non ever necessary to strength a inquiry into a 'real world' context to larn inwards engaging. Problems don't receive got to hold out contextual to hold out interesting - sometimes the real best questions are abstract but accessible.

In this example from illustrativemathematics.org, students receive got to operate out whether the shaded triangle is right-angled.

This Spiderbox question, also from Illustrative Mathematics, appears at outset glance to hold out a 3D Pythagoras inquiry but truly the spider is walking on the exterior of the box. Students brand a net, depict the spider's path as well as operate out its length.

amusing post from Math Jokes four Mathy Folks.

I also recollect it's worthwhile spending a few minutes discussing the pregnant of the give-and-take theorem as well as how it differs from a theory. H5N1 theorem is a consequence that has been proven to hold out true, for instance using logical arguments as well as previously established mathematical statements. Theory is a give-and-take used both inwards everyday life (eg 'the detective had a theory most who committed the murder') as well as inwards scientific discipline (such equally Einstein's theory of relativity). In everyday linguistic communication it has a pregnant similar to hypothesis. In science, a theory is a contemplative as well as rational type of abstract thinking. H5N1 theory exactly attempts to explicate something whereas a theorem is established mathematical fact. There's to a greater extent than on this two diagonals' as well as exactly about other called 'amusing post from Math Jokes four Mathy Folks.

I also recollect it's worthwhile spending a few minutes discussing the pregnant of the give-and-take theorem as well as how it differs from a theory. H5N1 theorem is a consequence that has been proven to hold out true, for instance using logical arguments as well as previously established mathematical statements. Theory is a give-and-take used both inwards everyday life (eg 'the detective had a theory most who committed the murder') as well as inwards scientific discipline (such equally Einstein's theory of relativity). In everyday linguistic communication it has a pregnant similar to hypothesis. In science, a theory is a contemplative as well as rational type of abstract thinking. H5N1 theory exactly attempts to explicate something whereas a theorem is established mathematical fact. There's to a greater extent than on this kite areas'.

Helpful Worksheets

horacek.com.au

This 'Investigating the sides of right-angled triangles' worksheet from Teachit Maths is a straightforward activity inwards which students travail to 'discover' Pythagoras' Theorem past times drawing right-angled triangles as well as investigating the human relationship betwixt the lengths of their sides. Teachit Maths also provides a 'Pythagoras' Theorem - consummate theme booklet' which covers the total theme from elementary exercise questions to work solving, using surds as well as 3D Pythagoras.

These Pythagoras' Theorem Student Sheets (& notes) from Nuffield Foundation comprise adept work solving questions, equally does Pythagoras Problems from The Chalk Face.

I've written a Pythagoras Pret homework - run across this page for to a greater extent than data most Pret homeworks.

Adding a Third Dimension
During my PGCE I had my students laid cuboids out of piping cleaners as well as operate out how to discovery the length of the infinite diagonal past times themselves. The piping cleaners were a faff that I won't hold out repeating but figuring out how to discovery the length of a infinite diagonal is definitely something students tin produce themselves. Perhaps the easiest prop to role is your classroom. When I learn 3D Pythagoras I ordinarily gesture at an imaginary infinite diagonal beingness drawn from the lower left corner to upper correct corner of the room. In fact it would hold out amend to attach exactly about string or wool to the walls thus you lot receive got an actual infinite diagonal going across the room, to assist students visualise the correct angled triangles.

There's 2 approaches to pedagogy 3D Pythagoras. One is to receive got the pupils derive the formula for the infinite diagonal (eg d² =  x² + y² + z²) as well as and thus memorise it. This may hold out useful afterwards on, for instance when they report vectors inwards C4, but it's non helpful when they come upwards to 3D trigonometry. My preferred approach for 3D problems is that they position as well as separately depict the 2 correct angled triangles inwards question. I encourage them to overstep on their workings inwards surd cast for accuracy.

Good 3D questions are available inwards these Trigonometry Worksheets (see exercise T7) past times Frank Tapson (from the Cleave Books website).

Also, here's a prissy 3D Pythagoras activity 'amusing post from Math Jokes four Mathy Folks.

I also recollect it's worthwhile spending a few minutes discussing the pregnant of the give-and-take theorem as well as how it differs from a theory. H5N1 theorem is a consequence that has been proven to hold out true, for instance using logical arguments as well as previously established mathematical statements. Theory is a give-and-take used both inwards everyday life (eg 'the detective had a theory most who committed the murder') as well as inwards scientific discipline (such equally Einstein's theory of relativity). In everyday linguistic communication it has a pregnant similar to hypothesis. In science, a theory is a contemplative as well as rational type of abstract thinking. H5N1 theory exactly attempts to explicate something whereas a theorem is established mathematical fact. There's to a greater extent than on this Cuboid Diagonal' from Don Steward.

Triples
Pythagorean Triples are fun to explore alongside your students. Before you lot do, receive got the chance to print them alongside your apparent super-quick mental arithmetics ("the 2 sides are five as well as 12 you lot say? Well the hypotenuse must hold out 13").

Activity 3.4 inwards this set of activities from the Mathematics Enhancement Programme is a brusque as well as accessible investigation into Pythagorean Triples. The Mathematics Assessment Programme also has a Pythagorean Triples activity and Don Steward has students looking for patterns. There are many to a greater extent than substantial investigations available online.

Vocabulary

amusing post from Math Jokes four Mathy Folks.

I also recollect it's worthwhile spending a few minutes discussing the pregnant of the give-and-take theorem as well as how it differs from a theory. H5N1 theorem is a consequence that has been proven to hold out true, for instance using logical arguments as well as previously established mathematical statements. Theory is a give-and-take used both inwards everyday life (eg 'the detective had a theory most who committed the murder') as well as inwards scientific discipline (such equally Einstein's theory of relativity). In everyday linguistic communication it has a pregnant similar to hypothesis. In science, a theory is a contemplative as well as rational type of abstract thinking. H5N1 theory exactly attempts to explicate something whereas a theorem is established mathematical fact. There's to a greater extent than on this here.

Pythagoras of Samos
Apparently Pythagoras was the outset individual to telephone phone the heavens a universe as well as the Blue Planet round. He also (allegedly) headed upwards a surreptitious cult of Pythagoreans who weren't allowed to consume beans. Pythagoras said that "each number has its ain personality - masculine or feminine, perfect or incomplete, beautiful or ugly". The mysterious story of Pythagoras of Samos is truly interesting as well as would brand a adept theme for inquiry or display work.

Pythagorean Proofs
I won't verbalise likewise much most proofs because I'll hold out hither all day. I must advert this vivid H2O demonstration video though.



If you lot desire your students to attempt exactly about proof activities, this line 'Proofs of the Pythagorean Theorem' from Mathematics Assessment Project is most comparison 3 unlike proofs.

Finally, Don Steward's spider web log features amusing post from Math Jokes four Mathy Folks.

I also recollect it's worthwhile spending a few minutes discussing the pregnant of the give-and-take theorem as well as how it differs from a theory. H5N1 theorem is a consequence that has been proven to hold out true, for instance using logical arguments as well as previously established mathematical statements. Theory is a give-and-take used both inwards everyday life (eg 'the detective had a theory most who committed the murder') as well as inwards scientific discipline (such equally Einstein's theory of relativity). In everyday linguistic communication it has a pregnant similar to hypothesis. In science, a theory is a contemplative as well as rational type of abstract thinking. H5N1 theory exactly attempts to explicate something whereas a theorem is established mathematical fact. There's to a greater extent than on this Herve Lehning's posters of Pythagoras past times agency of dissections which are real pleasing to the eye.

I promise this has been helpful if you're planning Pythagoras lessons. Please comment if you lot receive got whatever ideas to add.

I've similar a shot seat all my theme resources specials here so they are easier to browse.

5 Maths Gems #6

introducing calculus, a post nearly starters as well as teaching inequalities as well as a calendar of maths teaching conferences. I've also added novel bits as well as pieces to my resource libraries as well as homeworks page. I've notwithstanding works life fourth dimension for Twitter - here's this week's highlights.

1. Geogebra

For those of us who are equally good busy or non techy plenty to make clever things amongst Geogebra, at that topographic point are really helpful people who make it for us. I've mentioned Mathimation before. Here’s a few to a greater extent than interactive teaching tools that receive got been shared on Twitter recently:

• Custom Cuboid by @the_chalkface allows you lot to highlight specific cuboid faces - this is a helpful tool when teaching the surface expanse as well as book of cuboids. 
• @TheMathsTeach gives us interactive circle theorems for students to explore. Each Geogebra worksheet has uncomplicated instructions as well as questions - students tape their findings on the Student Conjecture Sheet.
• Parts of a Circle by @Mr_Mathematics is great for exploring circle vocabulary.

2. Two Superb Resources

I come across a hell of a lot of skilful maths resources inward my resource-addled life, but every straightaway as well as thus I come across ane that is absolutely superb. This calendar week was groovy because I discovered 2 such resources.

Ben Tanner (A level, my students works life them really useful for testing each other both inward shape as well as at home.

Extract from GCSE revision cards - tannermaths.co.uk

Chris Smith (@aap03102) produces a bright weekly newsletter total of fantastic maths teaching ideas - if you lot don't already subscribe thus email him straightaway to larn on the mailing list. This calendar week he tweeted nearly his relay races because they passed 100,000 downloads on TES. I can't believe that I, the resourceaholic, receive got never seen these before.

I've used revision relays amongst my classes earlier as well as they've e'er worked really well, thus I'll definitely live using these disclose puzzle races. There are 10 relays hither including ane for Halloween, ane for Christmas as well as ane for Easter. That's halt of term sorted then.

Extract from Halloween Relay Race - Chris Smith on TES

The 100,000 downloads got me thinking nearly how many maths teachers at that topographic point are inward the UK. First I started thinking nearly how many schools at that topographic point are as well as how many maths teachers per school, but thus I thought it powerfulness live easier to starting fourth dimension from how many teenagers at that topographic point are inward the UK. This reminded me of a labor interview I ane time had. Now here's a story for your students if they ever inquire when they'll demand maths.

During my concluding twelvemonth at academy I had an interview for a graduate labor equally a administration consultant at PwC. I'd already done a summertime internship at KPMG thus was feeling fairly confident. The alternative 24-hour interval started amongst a maths seek much similar this one. After the seek I had luncheon inward a conference room amongst the other candidates. An administrator came inward after luncheon to denote who had failed the maths seek (the unsuccessful candidates had to move out at that signal - an awkward instant for all). I survived the cutting as well as proceeded to a bizarre labor interview.

The interviewer asked me how many planes were inward the heaven at that moment. He wanted an actual number, non but a method. Once I'd had a become (starting point: how many airports inward the world) he thus asked me to reply ane time to a greater extent than using a dissimilar method, thus I did (starting point: world's population). He thus asked for some other method. We went through the same procedure for 'how many babies were born inward the United Kingdom of Great Britain as well as Northern Ireland yesterday?'. I intend I did a reasonably skilful labor of answering these questions - us mathematicians are skilful at lateral thinking. The concluding query inward the interview was nearly how I would stair out the peak of a edifice using but a barometer. I gave a few sensible answers but he kept asking for more. He stopped when I gave an utterly ridiculous reply which I won't acknowledge to hither (if you're coming the conference inward 2 weeks, inquire me then). Moral of the story - maths as well as work solving skills larn you lot far. You never know what you'll live asked inward a labor interview. And don't live the mortal sent abode at lunch.

3. Two Superb Websites
@dazmck shared the website 'That Quiz' which allows you lot to laid gratis online tests as well as homeworks inward a broad hit of topics from Key Stage iii to H5N1 level. It alone takes a infinitesimal to brand a seek as well as e-mail the URL to your students. They larn instant feedback on their answers (either throughout the quiz or at the end). They also larn an chance to right their mistakes. There are a disclose of settings but it's ridiculously slowly to use.

thatquiz.org menu

If you lot register (which takes roughly 5 seconds) you lot tin also collect your students' scores online. Here's an instance of a box plot seek question:

Example query from thatquiz.org

This website is thus incredibly helpful as well as slowly to use, it reminds me of some other groovy website - Form Time Ideas. This is past times far the best tutor fourth dimension resources I've seen. It's beautifully designed as well as slowly to use. The content is spot on as well as it changes every day. Websites that salve fourth dimension are a god-send for busy teachers.

formtimeideas.com

4. Words to Avoid
Twitter had me inward stitches this week. @taylorda1 tweeted nearly something he'd said inward a lesson that his students had works life amusing. Most teachers receive got made slips similar this - they tin stimulate a lot of disruption!

The conversation that followed this tweet was really funny. For the sake of novel or trainee teachers, here's a listing of things to avoid maxim inward maths lessons:

• In probability, don't toss a money as well as larn a head. In a room total of teenagers, far improve to flip a money as well as larn a tail.
• Avoid examples involving 'balls inward a bag'. 'Discs inward a bag' tin live but equally problematic if non said clearly. Try counters instead.
• Also inward probability, live careful how you lot nation 'the or rule'.
• When writing on the board make non shorten the discussion cumulative. Cum freq is probable to stimulate a stir.
• Don't brand c proportional to k (c∝k).
• Careful what you lot nation (and how you lot gesture) when talking nearly enlargements, top heavy fractions as well as going downward the disclose line.
• Be prepared for giggles if an reply is 69.
• Avoid having refer to 'the d' or maxim 4q ('4q too!').
• We can't avoid f(x) but live prepared for 'f off' silliness. Avoid f(u).
• When writing page numbers on the board, beware of p155.
• Don't nation cos. Say cosine. Cos Omac is an insult as well as surely non suitable for a maths lesson if whatsoever of your students speak Arabic!

Thanks to all the tweeters who contributed to this list.

It works both ways. I had to stifle my young giggles when I attended a Year 13's utter on the dangers of fracking.

There's to a greater extent than 'dirty mathematics' here.

5. Calligrams
@edsouthall tweeted some of these Minimal Math Concepts.

I honey these as well as was really pleased to uncovering that you lot tin purchase them equally a sheet or framed impress - some other affair for my christmas list! I've added this to my mathsy gifts page.

@tessmaths shared her lovely thought for a shape activity on Maths Calligrams. A calligram is a phrase or discussion inward which the text is arranged inward a agency that creates a visual image. The paradigm created past times the words expresses visually what the discussion says. This could live incorporated into a chief or secondary maths lesson - give students a listing of maths vocabulary as well as inquire them to create pictures to assist agreement as well as recall.

Maths Calligram by @JonTrebyAAN

I promise you've works life some of these ideas helpful. I'm taking requests for time to come resources posts thus if there's a detail theme you'd similar me to feature, delight email or tweet me.

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.

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').

5 Maths Gems #25

Gems 18 I featured v ideas from the starting fourth dimension 100 issues of Chris Smith's newsletters. I promised I'd live on dorsum with to a greater extent than newsletter gems, hence today's post features unopen to highlights from issues 101 - 250.

Chris's newsletters are really pop with maths teachers - he directly has over 1,000 subscribers. Each week's newsletter is total of educational activity ideas, puzzles, jokes together with mathematical trivia - it's e'er a pleasance to read. If y'all don't already subscribe, email Chris to larn on the list.

1. Number Stories
In Issue 123, Chris featured an sentiment for developing mathematical vocabulary. Students do their ain number stories - this tin live on every bit elementary or complex every bit y'all like. Chris included the basic event below for inspiration.

 2. Fractions together with Percentages
Another elementary simply effective activity was featured inward Issue 113. Students dyad off the numbers below (which y'all could impress onto cards) to shape fractions equivalent to the percentages inward the table. One respond is already given.

3. Remembering Bearings

There's 3 cardinal points that students ask to recollect well-nigh bearings. And remembering them is every bit slow every bit 123...

This sentiment originated from @kimmychuck together with featured inward Newsletter 245.

4. Guess Who

In my post well-nigh Desmos Polygraph I described it every bit a digital (and mathematical) version of Guess Who. Back inward Issue 210, Chris wrote well-nigh a similar sentiment (originating from Jennifer Clark) which uses actual Guess Who boards - these are available for £3.50 on eBay. The pic below shows a guessing game for famous mathematicians. Jennifer too suggests putting the numbers i - 24 inward the holders. For event I mightiness select the number 12 together with my partner would accept to inquire me questions (eg is it prime?, is it a multiple of 4? is it square? etc) to operate out what number I've chosen past times a procedure of elimination. This is a prissy agency to prepare vocabulary together with noesis of number properties. It could live on used for other topics eg polygons, linear graphs together with parabolas. I'm non certain it would live on practical to laid this upward for a whole class, simply it would live on a prissy activity for non bad parents to do at habitation with their children if they accept an quondam Guess Who game.

5. Factor Visualisation

These animated factorisation diagrams are lovely. They're worth showing to your students when y'all learn prime number factorisation. The animation moves speedily simply tin live on paused together with reversed. It shows numbers arranged inward accordance with their prime number factors. For example, nine is shown every bit 3 groups of three, 10 is v groups of 2 together with xi is prime, hence at that topographic point is no grouping.

Visualisations of 9, 10 together with 11

The animation is mesmorising.  Background information is available Off on a Tangent - a post well-nigh opportunities to live on spontaneous inward maths lessons together with whether schemes of operate allow us to explore off-topic interesting mathematics.

Stretching Practice - a post well-nigh where to honor challenging exercise questions together with resources.

It's exclusively 3 weeks until La Salle Education's National Mathematics Teacher Conference in Birmingham - I'm actually looking forrad to it (don't forget to larn a gratis ticket if y'all haven't already!). This calendar week I've been busy writing my session, which is all well-nigh choice methods for explaining mathematical concepts. See y'all then!

Joke from Issue 169

5 Maths Gems #32

Hello too welcome to my 32^nd gems post. This is where I part teaching ideas too resources I've seen on Twitter.

1. Expression of the Day

You mightiness already travel familiar with Jeremy Denton's (Number of the Day. He's right away created Expression of the Day too. These activities tin travel used to ensure that students oftentimes practise their release too algebra skills. Do depository fiscal establishment gibe out Jeremy's weblog post Starter Activity - Expression of the Day for the PowerPoint file too an illustration of how to purpose this fantastic resource.

2. Maths Documentaries

In the concluding lesson or 2 of the schoolhouse twelvemonth some teachers demo videos during maths lessons, which I intend is fine every bit long every bit students are learning nigh maths from those videos. Not certain what to show? Thanks to @AlgebraFact for sharing this page of Mathematics Documentaries from CosmoLearning - enough to direct from here.

For to a greater extent than ideas for destination of term lessons, encounter my post 'End of term!'.

3. Angles inwards a Polygon
Thanks to @sporteredu for sharing these pictures showing a practical demonstration of the outside angles of a polygon summing to 360^o.  

@ProfSmudge shared a similar laid of pictures of an irregular pentagon.

I've ever used an animation to demonstrate this too convey never thought of doing this lovely paper-based alternative.

For to a greater extent than animations encounter my post Animations too Simulations.

4. Reasoning Statements

Thanks to Mel (@Just_Maths) for sharing this awesome circle theorems activeness 'Great angle chase'. I honey activities similar this - it's my favourite sort of maths problem.

I was really pleased that Mel shared this link because it led me to a resources website I'd never seen before. I've right away added lots of resources from Top Drawer Teachers to my resources libraries. 

I peculiarly liked these reasoning statements -  a bully listing of propositions for bird discussion. The instructor presents a proffer too asks questions such every bit "Is it true?", "Is it merely sometimes true, or is it or ever true?", "When is it true? How do you lot know?",  "How could nosotros demonstrate/show/prove that it is true?".  Examples include:

• The hateful of 3 consecutive numbers is the middle number.
• Triangles tessellate. 
• Volume = expanse of the destination × length 
• If the H2O inwards our dams increases yesteryear 10% this month, too thus decreases yesteryear 10% adjacent month, it volition travel dorsum to where it started.

5. Zoolander

Mary Pardoe (blog post yesteryear Simon Gregg (@Simon_Gregg) nigh teaching Year iv nigh scaling. It features a Zoolander enquiry from Robert Kaplinsky (@robertkaplinksy). Fans of Zoolander volition similar this!

Students demand to intend nigh how many times would you lot demand to scale a model upward to brand a existent school. Questions to inquire too possible approaches are detailed on robertkaplinksy.com.

Update

here).

Did you lot encounter my page 'New GCSE Support' which links to resources for the novel GCSE topics? I'll travel adding a lot to a greater extent than resources over the adjacent brace of months. You tin access this page from the 'Extras' carte on my weblog (top correct - unless you're viewing the mobile site inwards which instance you'll demand to click on 'view spider web version' to encounter this menu).

The London Maths Hubs are joining forces to run a conference on Th ninth July. It looks similar a practiced choice of speakers too workshops thus if you're based inwards or nigh London it would travel worth shout out for for a solar daytime out of schoolhouse thus you lot tin attend.

There's some lovely novel resources coming from my favourite websites lately - do depository fiscal establishment gibe out the recent offerings from MathsPad, Teachit Maths too Median Don Steward. 

This article nigh the relative difficulty of maths exams or thus the basis is interesting. I similar these box plots:

• Finally, Billy Adamson asked people to clit maths inwards ane word too here's the fantastic results:

Have a bully calendar week everyone!