Showing posts with label Extensions. Show all posts
Showing posts with label Extensions. Show all posts

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 (@websofsubstancepost 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 (@websofsubstancepost 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 (@JemmaPDuckblog 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).



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.

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 d=  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
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 #13

In my gems posts I portion roughly of the best teaching ideas I've seen on Twitter each week. This is my 13th gems post. I promise you're non triskaidekaphobic.

1. Flying Numbers
At Julia Smith's (@tessmaths) creativity workshop at the lastly maths conference, she shared an activeness inwards which students brand 'Flying Numbers' to hang from the ceiling inwards the classroom or corridor. It industrial plant similar this: they direct a release in addition to brand that release from forest inwards Design & Technology (drill a hole at the overstep for hanging). They pigment their release in addition to then role fine markers or chalk pens to decorate it amongst facts virtually that number. This is a lovely chance for students to role the cyberspace to explore release properties in addition to detect out all sorts of wonderful mathematical things that are non on the curriculum. The examples below were made at the maths conference - it was a actually enjoyable exercise.
Ed Southall (post virtually teaching a binary lesson).

Alice inwards FractalLand is a stunning animated slideshow. Show it to your shape in addition to explore sequences, fractals, the golden ratio in addition to more. The text at the bottom explains each concept really clearly. I love this! This is just the kind of affair I was referring to inwards my postal service 'A house for gimmicks?' when I said that nosotros should brand fourth dimension to enrich our students' instruction amongst interesting mathematics that is non on the GCSE syllabus.
  • The Primary and Secondary Treasure Hunts are really good designed. Full instructions are included in addition to in that place are questions on areas of mathematics such every bit cryptography, primes in addition to probability. The questions are rather challenging for the intended historic catamenia groups - if I was organising an inter-school maths contender in addition to then I mightiness role these questions.
  • The video collection is due to grow - an exciting prospect if this 2 infinitesimal wordless video exploring triangles is a gustatory modality of things to come. 

  • 3. Imbalance Problems
    If you're non familiar amongst Don Steward's resources in addition to then halt reading this postal service straight off in addition to banking concern lucifer out his mobiles', in addition to then 'mobile inequalities' in addition to finally 'mobile moments'.

    In mobiles, the activities kickoff amongst release problems that larn progressively harder, in addition to then motion on to algebraic balancing problems. Here's a numerical instance which tin live solved amongst arithmetics in addition to logic (fill inwards the missing weights thence that everything balances correctly). 
    There are lots of variations, such every bit this 1 where the weights must add together upwardly to the release inwards the triangle (this is a straightforward example):
    The algebraic problems railroad train skills inwards writing algebraically in addition to simplifying expressions. In the occupation below, students accept to consummate the missing weights to brand the combined hanging weight equal to 8n.
    These are dandy problems. Check out all 3 posts to run into how Mr Steward developed the idea. It's every bit good worth reading Paul Salomon's (last week's gems post has paid off - both Debbie Hart ‏(@Debbie_Hart_UK) and Jane Appleton (‏@JaneAppleton24) accept tried it.

    I've been busy writing a postal service virtually circle theorems which volition live attain soon. Also, later seeing roughly dandy Halloween in addition to Guy Fawkes maths resources, I've started to collate a 'seasonal resources' page. I've seen thence many adept Christmas resources, it's difficult to direct the best only I'm getting there.

    So in that place yous go, my 13th gems post. It wasn't scary at all.

    Image source: guernseydonkey.com



    Thursday, October 17, 2019

    5 Maths Gems #37

    Hello as well as welcome to my 37th gems post. This is where I part around of the best maths teaching ideas I've seen on Twitter. If y'all bask reading these posts as well as thus y'all mightiness similar to explore my novel hashtag #mathsgems to view highlights from previous posts.

    Last calendar week I attended #pieandmaths - this was an trial organised past times La Salle Education inwards which a grouping of maths teachers got together to utter over issues inwards maths education. It was a bully twenty-four hr current as well as I've included a curt write-up at the terminate of this post.

    I get got a surplus of gems this calendar week thus here's the starting fourth dimension five, alongside v to a greater extent than to follow subsequently this week.

    1. Brilliant Indices Question
    I starting fourth dimension wrote most Gems 21. I 'like' Brilliant's Facebook page which agency I acquire regular maths problems inwards my Facebook feed. Since I joined Twitter I haven't used Facebook much, simply I've been on in that place quite a flake this calendar week working on my novel Facebook page. Luckily that agency that I spotted this awesome interrogation from Brilliant:
    My Year 12s volition endure treated to this inwards September! 

    2. 1001 Math Problems
    Thanks to Denise Gaskins (@letsplaymath) for sharing the website 1001 Math Problems. This American website was created equally a rootage of problem-solving activities for unproblematic as well as middle schoolhouse children. The problems are accessible as well as engaging. Solutions are included.

    Here's a lovely example, taken from the choice of puzzles that explore factors/divisibility:
    The problems are mainly suitable for Key Stage two as well as 3. I dearest 'The Spilled Juice Problem'.

    3. Simulations
    Last August I wrote a post service Animations as well as Simulations, as well as since as well as thus I've occasionally featured animations inwards my gems posts, similar this lovely demonstration of the expanse of a circle from Gems 12.
    One of my favourite simulation websites is PhET Interactive Simulations which I'm told is peculiarly useful for teaching Mechanics at Influenza A virus subtype H5N1 level. Some of the simulations on PhET are suitable for Key Stage three as well as 4, such equally this estimation activity. Do get got a play alongside this activity, it's great.
    Thanks to a tweet from @ChristinaGawlik I've also discovered the lately revamped website www.explorelearning.com. This is the 'world's largest library of math as well as scientific discipline simulations'. These simulations (called Gizmos) are actually good. Unfortunately unless y'all pay a subscription, y'all tin move alone access each Gizmo for 5 minutes. Worth a aspect though.

    4. VideoScribe
    Chris Smith (@aap03102) shared an impressive promotional video for his newsletters. He said it alone took him xv minutes to brand this video as well as I didn't believe him! I prepare a trial of VideoScribe and constitute out he was correct - it's real quick to brand a video using this software. Here's my crusade - a fun (but pointless!) promo video for resourceaholic.com:



    I was wondering if in that place were whatever opportunities to usage this software inwards the classroom when I coincidentally stumbled across this Classroom Expectations video from Cathy Yenca (@mathycathy):



    Since starting at a novel schoolhouse as well as having to produce 'proper' deportment administration for the starting fourth dimension time, I've realised the importance of setting expectations for students. I retrieve this approach mightiness brand those expectations to a greater extent than memorable (and fifty-fifty if it doesn't, it's fun to brand the video!). Cathy says, "I conception to present this brief video I created using a free 7-day trial of VideoScribe as well as give students a difficult re-create of classroom expectations to create total inwards a few blanks equally they watch. I may present this several times during the starting fourth dimension few weeks of school, post service it on my website, as well as generate a QR code to link to it when individual needs a reminder".

    I spotted Cathy's video inwards her fantabulous post service Primary Maths page which links to blogs as well as resources. I updated my tangents as well as areas based on the novel GCSE specification.

    Pie as well as Maths
    La Salle Education is a companionship dedicated to improving mathematics education. I dearest La Salle's conferences as well as volition endure presenting at their side past times side conference inwards Sheffield inwards September. Last calendar week La Salle hosted an trial called Pie as well as Maths which was attended past times around of my Twitter buddies, thus it was a proficient run a hazard to grab upwards alongside people as well as utter most maths.

    The trial started alongside a demonstration of Complete Mathematics. This is a actually impressive organization as well as if you've non seen it earlier as well as thus it's worth exploring - La Salle tin move come upwards to your schoolhouse to demonstrate it. I actually back upwards the underlying principles of Complete Mathematics - it has the potential to endure the ultimate collaboration tool for maths teachers. The content as well as functionality get got developed good since I starting fourth dimension saw it final summer. The interface is actually user-friendly, allowing teachers to efficiently conception lessons alongside access to well-written objectives, pedagogical notes, resources as well as assessment tools. Complete Mathematics currently covers Key Stage 1 through to GCSE. New content is existence developed for Core Maths, providing much needed construction as well as resources for this novel post-16 qualification.
    Can y'all cite the Twitter handles?
    We enjoyed a lovely luncheon as well as and thus went to the pub for a debate, led past times Mark McCourt (@EmathsUK). We discussed a number of issues including behaviour, parenting, teaching methods, instructor grooming as well as research.

    Afterwards nosotros had lots of fourth dimension to chat as well as play maths games - I ended upwards tied to Bruno Reddy (@MrReddyMaths). This video shows how nosotros got out of it (well done Bruno, I had no idea!).
    Thanks to La Salle as well as Mark McCourt for organising a actually enjoyable event. I loved catching upwards alongside Twitter friends as well as coming together novel people - here's the listing of attendees (sorry if I've missed anyone!): @getdiagnostics, @nishadealwis, @mrdrapermaths, @naveenfrizvi, @MissBsResources, @MissBaileyMaths, @kris_boulton, @DrTrapezio, @craigos87, @EJmaths, @tessmaths, @ColinTheTrainer, @MrMattock, @dannytybrown, @RJS2212, @mrreddymaths, @mathsatschool, @MrBenWard, @xanbritt, @CubbonSue as well as @mathsjem.

    That's it for today's post. Good luck alongside GCSE results everyone! I'll acquire out y'all alongside this cute Nonagon video shared past times @solvemymaths.

    Wednesday, October 16, 2019

    5 Maths Gems #62

    Welcome to my 62nd update from the footing of Maths EduTwitter. Here I summarise unopen to of the latest ideas in addition to resources for teaching maths.

    1. H5N1 Brilliant Problem
    If yous cause got a Facebook concern human relationship hence it's definitely worth liking Brilliant.org's Facebook page for an ongoing period of time of lovely maths problems inward your intelligence feed. I especially similar the occupation below - I'd purpose it equally a starter inward a GCSE lesson.

    2. Symbaloo
    Emma Bell (@EJMaths) has created a real helpful Symbaloo of maths teaching websites. All yous cause got to produce is click on 'start using this webmix' in addition to register for a costless account. You tin learn inward your homepage hence whenever yous opened upward the cyberspace you'll cause got a lovely ready of maths websites, blogs, tools in addition to resources to lead from. This volition salve teachers lots of fourth dimension in addition to tending them disclose novel websites too.

    3. Fraction Division
    An approach to dividing fractions that doesn't involving 'flipping'... this method from @solvemymaths is worth a look.
    4. Indices
    @offpistemaths shared these indices questions from an Eton scholarship paper aimed at Year 8. I honey these problems - to a greater extent than of our students should last given the chance to endeavor challenging questions similar this.
    5. Interactive GCSE Questions
    Here's a novel costless resources from MathsPad. These interactive GCSE exam-style questions are available for both Higher in addition to Foundation. They would move good equally daily lesson starters on an interactive whiteboard. It's slowly to switch questions in addition to display answers.

    Update
    Summer is nearly over! H5N1 aeroplane in addition to GCSE results days were especially emotional in addition to exciting for me this yr (my get-go results at my novel school). It's weird to intend that this was our final GCSE results twenty-four hours alongside grades A* to U - side yesteryear side yr we'll last seeing numerical grades for the get-go time. It's also weird to intend that the coming schoolhouse yr volition last the final fourth dimension nosotros learn C1 in addition to C2, equally modular H5N1 aeroplane comes to an end.

    You mightiness last interested inward seeing the 'hardest' enquiry on this year's Edexcel maths Higher GCSE, which was alone answered correctly yesteryear 2.6% of students (thanks to @MathsEmporium for sharing this).
    Earlier this calendar week I went along for drinks at La Salle's #pieandmaths lawsuit - it was bully to lead manage of upward alongside unopen to Twitter friends in addition to run across unopen to novel people. I'm actually looking forwards to #mathsconf8 inward Kettering on 1st Oct (I've right away submitted a workshop proposal) - book now!

    Posts
    Did yous lead manage of my recent post almost Multiplying Negatives? If you're teaching improver in addition to subtraction alongside negative numbers, yous mightiness similar Classroom Displays
  • Kicking off Year 12
  • Your First Maths Lesson alongside Year 7
  • Words of Wisdom: Teaching Foundation GCSE
  • High Expectations
  • Complete the Rules
  • Icebreakers
  • Practical tips for a (newly) qualified maths teacher

  • Twitter...?
    If you're non on Twitter hence the start of the novel schoolhouse yr mightiness last a proficient fourth dimension to join... The amount yous gain from it is good worth the pocket-size investment of time. Email me for advice if you're non certain how to learn started!
    A Problem
    I'll move out yous alongside this lovely ready of problems shared yesteryear @Mathematical_A, taken from 'A Square Peg inward a Round Hole'. Find the fraction of the surface area of the quadrant occupied yesteryear each semicircle.






    Friday, October 11, 2019

    5 Maths Gems #90

    Welcome to my 90th gems post. This is where I part unopen to of the latest news, ideas too resources for maths teachers.

    1. Probability Task
    Thanks to John Rowe (@MrJohnRowe) for sharing this challenging probability puzzle. If you lot similar this too hence you'll honour similar tasks for a broad make of topics on the fantastic website openmiddle.com which I've blogged close before.

    2. Exam Wrapper
    Thanks to Alice Leung (@aliceleung) for sharing an exam wrapper for students to consummate later on an assessment. I similar it that students are asked to reverberate on whether they did sufficient grooming for the exam.
     3. Number Properties Puzzle
    Here's a groovy issue puzzle from @OCR_Maths.
    4. Influenza A virus subtype H5N1 Level
    If your Year 12s bring internal exams coming up, you lot mightiness honour my revision quizzes for pure too statistics helpful. I've told my students to impress off a charge of these too essay themselves at habitation until they larn everything right. The statistics quiz has a huge issue of definitions! 
    There was a helpful give-and-take close Influenza A virus subtype H5N1 marking taster lessons on Twitter this week, initiated past times Adam Creen (@adamcreen). You tin read the total thread here. I bring industrial plant life inwards the past times that Pascal too Binomial works well. I've besides used Susan Wall's lovely 'Find the coordinates' business successfully equally a starter activity inwards Influenza A virus subtype H5N1 marking taster lessons.
    5. Euclid
    Thanks to @MrsMathematica for sharing this video close Euclid - I enjoyed watching this.



    Also banking concern fit out The History of Non-Euclidian Geometry - Squaring the Circle and The History of Non-Euclidian Geometry - The Great Quest.

    Update
    In representative you lot missed it, I late wrote a dependent champaign cognition post service close algebraic highest mutual element too lowest mutual multiple. Writing this made me rethink my approach to teaching this topic. 

    I besides published 3 sets of breakfast warm upwardly resources for both Higher too Foundation GCSE. It's been lovely to encounter hence many schools using these to calm nerves too warm upwardly brains on the morn of exams.

    I besides published a fix of Year 3 topics inwards depth packs created past times Nikki Martin - delight part these amongst principal colleagues.

    There bring been a issue of practiced maths teaching weblog posts lately that are worth reading, including:

    I'm looking frontward to presenting at post close this concluding year.

    If you're coming to the conference, impress a re-create of my #mathsconf15 bingo inwards advance too play along on the day.

    Finally, did you lot encounter these awesome biscuits made past times Ella Dickson (@elladickson) for her Year xiii students? Amazing!