Showing posts with label Pi. Show all posts
Showing posts with label Pi. Show all posts

Saturday, January 25, 2020

5 Maths Gems #45

Hello in addition to welcome to my 45th gems post. This is where I portion v maths pedagogy ideas.

1. Circumference
Pi Development and Circle: Introducing Circumference. The latter features animations such every bit this:

in addition to a actually overnice laid of circumference questions.
2. Pinpoint Learning
Causing quite a stir on Twitter over the concluding ii weeks, @tom_quilter's novel website pinpointlearning.co.uk provides students with personalised enquiry booklets based on show results. It's perfect for later a mock exam. You merely upload students' marks in addition to the website automatically produces private booklets featuring enquiry on the topics that students demand to piece of job on. The website is gratis in addition to is ready for Edexcel papers, thence if you've lately done an Edexcel mock thence compass laissez passer it a go. I've seen many tweets from teachers who've already tried it in addition to speak rattling highly of it.
3. Five Minute Mock Analysis
When yous render mock exams to students yous powerfulness similar to piece of job this splendid Five Minute Mock Paper Analysis from @MathedUp. The file is editable thence yous tin customise it for your school.
4. C4 Integration
I'm pedagogy C4 integration to my Further Maths flat at the moment. We've exactly done Volumes of Revolution in addition to I enjoyed making piece of job of props to explicate the concept. Thanks to an stance from Chris Smith (@aap03102), I used paper decorations to demonstrate how a corporation is formed when a airplane is rotated to a greater extent than or less the x axis.
I used these alongside gifs such every bit those shown below.

I likewise enjoyed using constant characters for the commencement time. This is an stance from Gems 22. Students who forget the 'plus c' inwards their answers are asked to decorate a constant character. Hopefully this volition encourage them non to forget i time to a greater extent than in addition to volition brand an interesting display for the classroom wall. Here's a brace of examples of what my students came upwards with:
5. Snowflakes
These Star Wars snowflake designs are vivid in addition to fifty-fifty characteristic characters from the latest films.
Here's a video well-nigh how to crimp them:



If you're planning to compass some snowflake activities at schoolhouse inwards the concluding calendar week of term thence it's a corking chance to beak well-nigh fractals - read Gems 16 for to a greater extent than on this.

Snowflakes tin endure a combat tricky to brand thence yous powerfulness similar these real-life graphs.

Right, I convey mock marker to compass in addition to Christmas cards to write thence I improve acquire on. I'll move out yous with this overnice enquiry from @OCR_Maths - what fraction is unshaded?




Friday, January 24, 2020

5 Maths Gems #51

Welcome to my 51st gems post. This is where I part 5 didactics ideas I've seen on Twitter.

1. Exam Tips
The lovely Julia Smith (@tessmaths) industrial plant difficult to back upward maths teachers inwards Further Education as well as heighten awareness of the challenges they face. Since September 2015 she has been tweeting tips for GCSE resitters using the hashtag #gcseresit. She has right away published those tips here. Do own got a hold off - they're non only for resitters!

Top Tip 38 suggests "making revision bags for one-half terms, Christmas as well as Easter breaks - these are similar political party bags (only better) - containing sweets, examination papers as well as topic tests". I read a similar thought inwards John Corbett's (Revision: Christmas Presents'. At Christmas he pose a alternative of Corbettmaths Practice Questions in envelopes along with a pen, pencil, a small-scale handbag of sweets, a few chocolate coins as well as a revision schedule. His schoolhouse posted these packages to his students at dwelling during the holidays. Not exclusively did John's students consummate revision that they otherwise would non own got done, but they were also actually chuffed as well as to a greater extent than engaged inwards maths revision at schoolhouse every bit a final result of John's thoughtful gesture. This lovely thought would operate good at Easter too.
2. Fun alongside Primes
Christian Lawson-Perfect (@christianp) has created a fun game isthisprime.com/gameMaths teachers beware - this is addictive!
3. Fraction Talks
Fractiontalks.com is an splendid website curated past times Nat Banting. It provides lots of lovely fraction problems, similar the examples below, along alongside suggestions every bit to how yous tin give notice assistance prepare students' reasoning skills.
Follow @FractionTalks for updates.

4. Orangier
Don Steward has been producing loads of fantastic resources lately. I peculiarly similar the project 'orangier' for the evolution of proportional reasoning. Students are given diverse combinations of orangish squelch as well as H2O as well as they own got to hit upward one's take away heed which ratios give an orangier mixture.
5. Pi Day
It's Pi Day adjacent week. I know some people don't similar Pi Day because inwards the United Kingdom of Great Britain as well as Northern Ireland of Britain as well as Northern Republic of Ireland nosotros don't write dates inwards the format mmddyy, but it's prissy to encounter many schools seizing the chance to larn students talking nigh maths.
All countries that role the mmddyy
appointment format - from @amazinmaps

Clarissa Grandi (@c0mplexnumber) has created a lovely resource that yous tin give notice role inwards the classroom fifty-fifty if your schoolhouse isn't organising whatever school-wide activities: 'Do aliens know nigh Pi too?'. I similar the crop circles featured here, they're actually interesting.
I featured to a greater extent than Pi Day ideas in Revision: Christmas Presents'. At Christmas he pose a alternative of Corbettmaths Practice Questions in envelopes along with a pen, pencil, a small-scale handbag of sweets, a few chocolate coins as well as a revision schedule. His schoolhouse posted these packages to his students at dwelling during the holidays. Not exclusively did John's students consummate revision that they otherwise would non own got done, but they were also actually chuffed as well as to a greater extent than engaged inwards maths revision at schoolhouse every bit a final result of John's thoughtful gesture. This lovely thought would operate good at Easter too.
2. Fun alongside Primes
Christian Lawson-Perfect (@christianp) has created a fun game isthisprime.com/gameMaths teachers beware - this is addictive!
3. Fraction Talks
Fractiontalks.com is an splendid website curated past times Nat Banting. It provides lots of lovely fraction problems, similar the examples below, along alongside suggestions every bit to how yous tin give notice assistance prepare students' reasoning skills.
Follow @FractionTalks for updates.

4. Orangier
Don Steward has been producing loads of fantastic resources lately. I peculiarly similar the project 'Gems 26 last year.

Update
Here are a few things that yous mightiness live interested in:
  • The FMSP's listing of upcoming Changes to AS/A degree Mathematics
  • Big Ideas inwards Primary Mathematics (draft) by Mike Askew - thank yous to Simon Gregg for sharing this.
  • Craig Barton's podcast alongside Charlie Stripp of the NCETM as well as MEI.
  • My Revision: Christmas Presents'. At Christmas he pose a alternative of Corbettmaths Practice Questions in envelopes along with a pen, pencil, a small-scale handbag of sweets, a few chocolate coins as well as a revision schedule. His schoolhouse posted these packages to his students at dwelling during the holidays. Not exclusively did John's students consummate revision that they otherwise would non own got done, but they were also actually chuffed as well as to a greater extent than engaged inwards maths revision at schoolhouse every bit a final result of John's thoughtful gesture. This lovely thought would operate good at Easter too.
    2. Fun alongside Primes
    Christian Lawson-Perfect (@christianp) has created a fun game isthisprime.com/gameMaths teachers beware - this is addictive!
    3. Fraction Talks
    Fractiontalks.com is an splendid website curated past times Nat Banting. It provides lots of lovely fraction problems, similar the examples below, along alongside suggestions every bit to how yous tin give notice assistance prepare students' reasoning skills.
    Follow @FractionTalks for updates.

    4. Orangier
    Don Steward has been producing loads of fantastic resources lately. I peculiarly similar the project 'post nigh the gaps inwards my cognition of top dog schoolhouse mathematics - there's been lots of interesting comments on this post.
  • My Revision: Christmas Presents'. At Christmas he pose a alternative of Corbettmaths Practice Questions in envelopes along with a pen, pencil, a small-scale handbag of sweets, a few chocolate coins as well as a revision schedule. His schoolhouse posted these packages to his students at dwelling during the holidays. Not exclusively did John's students consummate revision that they otherwise would non own got done, but they were also actually chuffed as well as to a greater extent than engaged inwards maths revision at schoolhouse every bit a final result of John's thoughtful gesture. This lovely thought would operate good at Easter too.
    2. Fun alongside Primes
    Christian Lawson-Perfect (@christianp) has created a fun game isthisprime.com/gameMaths teachers beware - this is addictive!
    3. Fraction Talks
    Fractiontalks.com is an splendid website curated past times Nat Banting. It provides lots of lovely fraction problems, similar the examples below, along alongside suggestions every bit to how yous tin give notice assistance prepare students' reasoning skills.
    Follow @FractionTalks for updates.

    4. Orangier
    Don Steward has been producing loads of fantastic resources lately. I peculiarly similar the project 'post nigh #mathsconf6. Booking for the adjacent conference is right away opened upward - it's on Sabbatum 25th June inwards Leeds.

I own got a twosome of novel posts inwards draft, 1 nigh Year 10 assessment as well as the other nigh 'bad' resources, as well as thus lookout adult man this space.

I'm hosting #mathscpdchat at 7pm on Tuesday 15th March - we'll live talking about how our students role their exercise books. Please bring together in.

I late featured inwards a totaljobs.com article 'Insights into teaching' that yous mightiness enjoy.
I'll move out yous alongside this lovely activity 'Fold as well as Punch' that was shared past times Mike Lawler (@mikeandallie).



Friday, January 12, 2001

Mei Conference 2019

I was fortunate to cause got the chance to attend the here.

Residential conferences are a really dissimilar experience to ane solar daytime events. There’s to a greater extent than fourth dimension inwards sessions to hash out ideas too create maths, too there’s to a greater extent than fourth dimension exterior of sessions to socialise, run across novel people too chat well-nigh teaching. At tiffin on Fri I sat amongst Ben Sparks summation Christopher Rath (@Rathematician) too his colleagues - they showed me cool maths materials that I'd never seen before. So much fun. Since I got dorsum I've been showing everyone my novel tricks! Literally every fourth dimension I reckon Ben Sparks he blows my heed amongst to a greater extent than or less clever maths magic. He did the same inwards his workshop on Sabbatum morn where nosotros played a poker game inwards which I really thought I had a total set – until I realised he’d rigged it. How does he create that…?

It was wonderful to remain for all 3 days of the conference - I loved every infinitesimal too felt incredibly relaxed hanging out on a academy campus inwards glorious sunshine. The eve amusement was transcend character - the after-dinner speak Harry Baker was absolutely wonderful. Everyone was blown away past times how lovely he was. Watch this video to learn an idea, but become reckon him perform if yous tin (I starting fourth dimension shared this video dorsum inwards 2015 inwards Gems 26 so it was cool to really run across him inwards person!).




I’d e'er assumed that the MEI Conference is aimed mainly at H5N1 degree teachers but I constitute that at that topographic point was a broad hit of sessions to appeal to all secondary maths teachers. It had a chip of an academic experience to it inwards parts - especially the starting fourth dimension 2 plenaries. The starting fourth dimension keynote was past times Dr Eugenia Cheng (she’s my novel hero) too minute keynote was delivered past times Professor Alison Etheridge – she delivered a fascinating lecture on genetics which made me experience similar I was dorsum at university! I love the high expectations that the organisers cause got of their audience - it’s wonderful to hold upward immersed inwards intellectual challenge every directly too then. Craig Barton’s keynote on the finally solar daytime was brilliant, equally always. He equally good had the coolest clicker I've ever seen. Did I advert that I’m running a course of report amongst Craig inwards October? You tin mass your set here.
One matter I similar well-nigh the MEI conference is that there's a really dissimilar hit of speakers from the events I unremarkably attend thus I learn to hear lots of novel perspectives. I recorded a conference podcast amongst Craig Barton on the Fri dark (after a few spectacles of wine…) thus cause got a withdraw heed to that to hear to a greater extent than or less reflections on a few of the sessions I attended. I didn’t learn a peril to speak well-nigh every workshop. In this spider web log postal service I’m merely sharing a duo of things that I didn’t advert inwards the podcast that I thought teachers mightiness hold upward interested in.

Football Loci
Rob Eastaway (@robeastaway) ran a session called 'What's the divergence betwixt a puzzle too a maths question?' which was partly well-nigh how to plough a boring inquiry into an interesting one. Something that really jumped out at me related to loci. We oftentimes reckon really contrived scenarios inwards loci questions but he shared a fascinating scenario that I loved.

Rob showed us a laid of football game rules from 1891, when the rules of the game were evolving. It said:
"The goals shall hold upward upright posts, viii yards apart, amongst a bar across them viii feet from the ground.
When the ball is kicked behind the goal-line past times ane of the contrary side, it shall hold upward kicked off past times whatsoever ane of the players behind whose goal-line it went inside 6 yards of the nearest goal-post..."

Show pupils this too inquire them what it would human face like. Where tin the role instrumentalist stand upward to accept a destination kicking according to these rules? Perhaps inquire pupils to endeavour to depict a scale drawing of it.

They should terminate upward amongst a duo of arcs rather than the vi yard box nosotros are directly thus familiar with.

Once they've done this yous tin present them a picture of the 1901 FA Cup Final when Tottenham Hotspur played Sheffield United. There are arcs! It's really cool. The Wikipedia page on destination kicks says "In 1891, pitch markings were added to define the six-yard radius from each goal-post".

In 1902, the term 'goal area' was introduced for the set from which the destination kicking was taken - it assumed its modern dimensions equally a rectangle extending vi yards from each destination post.

I loved this workshop too I retrieve that this lesson on loci too scale drawing would become downwards really well.

Fascinating materials from Rob Eastaway, equally always.

Circle Theorems Chase
Tim Honeywill (@honeywilltim) led a session called ‘Expecting the Unexpected’ where he shared a pack of problems which are suitable for IGCSE too H5N1 degree pupils. I love angle problems too at that topographic point were a few inwards the pack, including this beauty called 'Crazy Circle Theorems'.


Tim's pack of questions contained loads of squeamish problems. Here are a few to a greater extent than examples:



Very kindly, Tim has allow me portion the whole laid of resources from his workshop here. Thank yous Tim!

Sectors of Circles
I ran a workshop on resources inwards which I talked through the procedure of planning a sequence of lessons on sector area. I showed a large expose of places nosotros tin become to learn resources including to a greater extent than or less classics such equally SMILE. I talked well-nigh dissimilar types of chore too discussed how they run across dissimilar purposes.

For this workshop I made a novel Fill inwards the Gaps task on sector expanse (extract pictured below) which is intended to hold upward used equally role of the initial instruction phase. The thought is that pupils educate an agreement of how to set what fraction of the circle is required, too brand connections betwixt sectors of dissimilar sizes. I equally good decided that I wanted to learn pupils to a greater extent than comfortable amongst sketching diagrams, thus I included that inwards the task. If yous utilisation this resource, allow me know how yous learn on.


There's lots to a greater extent than I could state well-nigh the MEI Conference but to proceed this postal service to a manageable length I volition travel out it there. Thank yous to everyone - speakers, delegates too organisers - who made it thus fantastic. Well done MEI! Great work.

Hanging out amongst Chris Shore too Tom Bennison

The adjacent residential maths instruction conference I attend volition hold upward the MA Conference 2020 which involves 2 nights away at a spa hotel inwards the Easter holidays – I’m looking forwards to it already!