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

Thursday, October 17, 2019

5 Maths Gems #45

Hello together with welcome to my 45th gems post. This is where I portion 5 maths pedagogy ideas.

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

together with a actually dainty laid of circumference questions.
2. Pinpoint Learning
Causing quite a stir on Twitter over the concluding 2 weeks, @tom_quilter's novel website pinpointlearning.co.uk provides students with personalised inquiry booklets based on seek out results. It's perfect for later a mock exam. You precisely upload students' marks together with the website automatically produces private booklets featuring inquiry on the topics that students demand to operate on. The website is complimentary together with is ready for Edexcel papers, thence if you've of late done an Edexcel mock together with then ambit laissez passer it a go. I've seen many tweets from teachers who've already tried it together with speak real highly of it.
3. Five Minute Mock Analysis
When y'all render mock exams to students y'all mightiness similar to role this first-class Five Minute Mock Paper Analysis from @MathedUp. The file is editable thence y'all tin customise it for your school.
4. C4 Integration
I'm pedagogy C4 integration to my Further Maths flat at the moment. We've precisely done Volumes of Revolution together with I enjoyed making role of props to explicate the concept. Thanks to an catch from Chris Smith (@aap03102), I used paper decorations to demonstrate how a company is formed when a bird is rotated some the x axis.
I used these alongside gifs such equally those shown below.

I likewise enjoyed using constant characters for the starting fourth dimension time. This is an catch from Gems 22. Students who forget the 'plus c' inward their answers are asked to decorate a constant character. Hopefully this volition encourage them non to forget in 1 trial to a greater extent than together with volition brand an interesting display for the classroom wall. Here's a dyad of examples of what my students came upwards with:
5. Snowflakes
These Star Wars snowflake designs are bright together with fifty-fifty characteristic characters from the latest films.
Here's a video most how to bend them:



If you're planning to ambit some snowflake activities at schoolhouse inward the concluding calendar week of term together with then it's a groovy chance to beak most fractals - read Gems 16 for to a greater extent than on this.

Snowflakes tin last a fleck tricky to brand thence y'all mightiness similar these real-life graphs.

Right, I accept mock marker to ambit together with Christmas cards to write thence I improve acquire on. I'll acquire out y'all with this dainty inquiry from @OCR_Maths - what fraction is unshaded?




Wednesday, October 16, 2019

5 Maths Gems #51

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

1. Exam Tips
The lovely Julia Smith (@tessmaths) plant difficult to back upward maths teachers inward 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 at i time published those tips here. Do accept a hold back - they're non simply 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, examine papers as well as theme tests". I read a similar thought inward John Corbett's (Revision: Christmas Presents'. At Christmas he seat a alternative of Corbettmaths Practice Questions in envelopes along with a pen, pencil, a pocket-size pocketbook of sweets, a few chocolate coins as well as a revision schedule. His schoolhouse posted these packages to his students at dwelling family during the holidays. Not solely 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 inward maths revision at schoolhouse equally a lawsuit of John's thoughtful gesture. This lovely thought would run good at Easter too.
2. Fun amongst 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 first-class website curated yesteryear Nat Banting. It provides lots of lovely fraction problems, similar the examples below, along amongst suggestions equally to how you lot tin dismiss help educate students' reasoning skills.
Follow @FractionTalks for updates.

4. Orangier
Don Steward has been producing loads of fantastic resources lately. I especially similar the labor 'orangier' for the evolution of proportional reasoning. Students are given diverse combinations of orangish crush as well as H2O as well as they own got to hit upward one's hear which ratios laissez passer on an orangier mixture.
5. Pi Day
It's Pi Day side yesteryear side week. I know some people don't similar Pi Day because inward 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 inward the format mmddyy, but it's squeamish to run across many schools seizing the chance to larn students talking nearly maths.
All countries that purpose the mmddyy
appointment format - from @amazinmaps

Clarissa Grandi (@c0mplexnumber) has created a lovely resource that you lot tin dismiss purpose inward the classroom fifty-fifty if your schoolhouse isn't organising whatsoever school-wide activities: 'Do aliens know nearly 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 seat a alternative of Corbettmaths Practice Questions in envelopes along with a pen, pencil, a pocket-size pocketbook of sweets, a few chocolate coins as well as a revision schedule. His schoolhouse posted these packages to his students at dwelling family during the holidays. Not solely 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 inward maths revision at schoolhouse equally a lawsuit of John's thoughtful gesture. This lovely thought would run good at Easter too.
2. Fun amongst 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 first-class website curated yesteryear Nat Banting. It provides lots of lovely fraction problems, similar the examples below, along amongst suggestions equally to how you lot tin dismiss help educate students' reasoning skills.
Follow @FractionTalks for updates.

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

Update
Here are a few things that you lot mightiness live interested in:
  • The FMSP's listing of upcoming Changes to AS/A marking Mathematics
  • Big Ideas inward Primary Mathematics (draft) by Mike Askew - cheers to Simon Gregg for sharing this.
  • Craig Barton's podcast amongst Charlie Stripp of the NCETM as well as MEI.
  • My Revision: Christmas Presents'. At Christmas he seat a alternative of Corbettmaths Practice Questions in envelopes along with a pen, pencil, a pocket-size pocketbook of sweets, a few chocolate coins as well as a revision schedule. His schoolhouse posted these packages to his students at dwelling family during the holidays. Not solely 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 inward maths revision at schoolhouse equally a lawsuit of John's thoughtful gesture. This lovely thought would run good at Easter too.
    2. Fun amongst 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 first-class website curated yesteryear Nat Banting. It provides lots of lovely fraction problems, similar the examples below, along amongst suggestions equally to how you lot tin dismiss help educate students' reasoning skills.
    Follow @FractionTalks for updates.

    4. Orangier
    Don Steward has been producing loads of fantastic resources lately. I especially similar the labor 'post nearly the gaps inward my noesis of main schoolhouse mathematics - there's been lots of interesting comments on this post.
  • My Revision: Christmas Presents'. At Christmas he seat a alternative of Corbettmaths Practice Questions in envelopes along with a pen, pencil, a pocket-size pocketbook of sweets, a few chocolate coins as well as a revision schedule. His schoolhouse posted these packages to his students at dwelling family during the holidays. Not solely 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 inward maths revision at schoolhouse equally a lawsuit of John's thoughtful gesture. This lovely thought would run good at Easter too.
    2. Fun amongst 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 first-class website curated yesteryear Nat Banting. It provides lots of lovely fraction problems, similar the examples below, along amongst suggestions equally to how you lot tin dismiss help educate students' reasoning skills.
    Follow @FractionTalks for updates.

    4. Orangier
    Don Steward has been producing loads of fantastic resources lately. I especially similar the labor 'post nearly #mathsconf6. Booking for the side yesteryear side conference is at i time opened upward - it's on Sat 25th June inward Leeds.

I own got a yoke of novel posts inward draft, i nearly Year 10 assessment as well as the other nearly 'bad' resources, as well as then sentry this space.

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

I latterly featured inward a totaljobs.com article 'Insights into teaching' that you lot mightiness enjoy.
I'll travel out you lot amongst this lovely activity 'Fold as well as Punch' that was shared yesteryear Mike Lawler (@mikeandallie).



Thursday, October 10, 2019

Mei Conference 2019

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

Residential conferences are a real dissimilar experience to 1 twenty-four hours events. There’s to a greater extent than fourth dimension inward sessions to hash out ideas together with create maths, together with there’s to a greater extent than fourth dimension exterior of sessions to socialise, run into novel people together with chat almost teaching. At tiffin on Fri I sat alongside Ben Sparks addition Christopher Rath (@Rathematician) together with 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 catch Ben Sparks he blows my heed alongside roughly clever maths magic. He did the same inward his workshop on Sat forenoon where nosotros played a poker game inward which I truly thought I had a total household – 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 together with felt incredibly relaxed hanging out on a academy campus inward glorious sunshine. The eventide amusement was plough over lineament - the after-dinner speak Harry Baker was absolutely wonderful. Everyone was blown away yesteryear how lovely he was. Watch this video to larn an idea, but become catch him perform if yous tin (I starting fourth dimension shared this video dorsum inward 2015 inward Gems 26 so it was cool to really run into him inward person!).




I’d ever assumed that the MEI Conference is aimed mainly at H5N1 grade teachers but I establish that at that topographic point was a broad hit of sessions to appeal to all secondary maths teachers. It had a flake of an academic experience to it inward parts - especially the starting fourth dimension 2 plenaries. The starting fourth dimension keynote was yesteryear Dr Eugenia Cheng (she’s my novel hero) together with 2nd keynote was delivered yesteryear 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 stimulate got of their audience - it’s wonderful to live on immersed inward intellectual challenge every straight off together with then. Craig Barton’s keynote on the in conclusion twenty-four hours was brilliant, every bit always. He too had the coolest clicker I've ever seen. Did I cite that I’m running a course of instruction alongside Craig inward October? You tin mass your house here.
One affair I similar almost the MEI conference is that there's a real dissimilar hit of speakers from the events I unremarkably attend thus I larn to hear lots of novel perspectives. I recorded a conference podcast alongside Craig Barton on the Fri nighttime (after a few spectacles of wine…) thus stimulate got a hear to that to hear roughly reflections on a few of the sessions I attended. I didn’t larn a jeopardy to speak almost every workshop. In this spider web log postal service I’m only sharing a twain of things that I didn’t cite inward the podcast that I thought teachers mightiness live on interested in.

Football Loci
Rob Eastaway (@robeastaway) ran a session called 'What's the deviation betwixt a puzzle together with a maths question?' which was partly almost how to plough a tedious inquiry into an interesting one. Something that really jumped out at me related to loci. We ofttimes catch really contrived scenarios inward 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 live on upright posts, 8 yards apart, alongside a bar across them 8 feet from the ground.
When the ball is kicked behind the goal-line yesteryear 1 of the contrary side, it shall live on kicked off yesteryear whatsoever 1 of the players behind whose goal-line it went inside 6 yards of the nearest goal-post..."

Show pupils this together with inquire them what it would human face like. Where tin the role musician stand upwardly to stimulate got a destination boot according to these rules? Perhaps inquire pupils to effort to describe a scale drawing of it.

They should terminate upwardly alongside a twain of arcs rather than the half dozen yard box nosotros are straight off 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 real 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 house from which the destination boot was taken - it assumed its modern dimensions every bit a rectangle extending half dozen yards from each destination post.

I loved this workshop together with I recollect that this lesson on loci together with scale drawing would become downwardly really well.

Fascinating materials from Rob Eastaway, every bit 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 together with H5N1 grade pupils. I love angle problems together with at that topographic point were a few inward the pack, including this beauty called 'Crazy Circle Theorems'.


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



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

Sectors of Circles
I ran a workshop on resources inward which I talked through the procedure of planning a sequence of lessons on sector area. I showed a large publish of places nosotros tin become to larn resources including roughly classics such every bit SMILE. I talked almost dissimilar types of chore together with discussed how they run into dissimilar purposes.

For this workshop I made a novel Fill inward the Gaps task on sector surface area (extract pictured below) which is intended to live on used every bit role of the initial instruction phase. The thought is that pupils prepare an agreement of how to position what fraction of the circle is required, together with brand connections betwixt sectors of dissimilar sizes. I too decided that I wanted to larn pupils to a greater extent than comfortable alongside sketching diagrams, thus I included that inward the task. If yous utilisation this resource, permit me know how yous larn on.


There's lots to a greater extent than I could tell almost the MEI Conference but to move along this postal service to a manageable length I volition larn out it there. Thank yous to everyone - speakers, delegates together with organisers - who made it thus fantastic. Well done MEI! Great work.

Hanging out alongside Chris Shore together with Tom Bennison

The side yesteryear side residential maths instruction conference I attend volition live on the MA Conference 2020 which involves 2 nights away at a spa hotel inward the Easter holidays – I’m looking frontwards to it already!







Friday, March 22, 2019

5 Maths Gems #45

Hello together with welcome to my 45th gems post. This is where I portion 5 maths pedagogy ideas.

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

together with a actually dainty laid of circumference questions.
2. Pinpoint Learning
Causing quite a stir on Twitter over the concluding 2 weeks, @tom_quilter's novel website pinpointlearning.co.uk provides students with personalised inquiry booklets based on seek out results. It's perfect for later a mock exam. You precisely upload students' marks together with the website automatically produces private booklets featuring inquiry on the topics that students demand to operate on. The website is complimentary together with is ready for Edexcel papers, thence if you've of late done an Edexcel mock together with then ambit laissez passer it a go. I've seen many tweets from teachers who've already tried it together with speak real highly of it.
3. Five Minute Mock Analysis
When y'all render mock exams to students y'all mightiness similar to role this first-class Five Minute Mock Paper Analysis from @MathedUp. The file is editable thence y'all tin customise it for your school.
4. C4 Integration
I'm pedagogy C4 integration to my Further Maths flat at the moment. We've precisely done Volumes of Revolution together with I enjoyed making role of props to explicate the concept. Thanks to an catch from Chris Smith (@aap03102), I used paper decorations to demonstrate how a company is formed when a bird is rotated some the x axis.
I used these alongside gifs such equally those shown below.

I likewise enjoyed using constant characters for the starting fourth dimension time. This is an catch from Gems 22. Students who forget the 'plus c' inward their answers are asked to decorate a constant character. Hopefully this volition encourage them non to forget in 1 trial to a greater extent than together with volition brand an interesting display for the classroom wall. Here's a dyad of examples of what my students came upwards with:
5. Snowflakes
These Star Wars snowflake designs are bright together with fifty-fifty characteristic characters from the latest films.
Here's a video most how to bend them:



If you're planning to ambit some snowflake activities at schoolhouse inward the concluding calendar week of term together with then it's a groovy chance to beak most fractals - read Gems 16 for to a greater extent than on this.

Snowflakes tin last a fleck tricky to brand thence y'all mightiness similar these real-life graphs.

Right, I accept mock marker to ambit together with Christmas cards to write thence I improve acquire on. I'll acquire out y'all with this dainty inquiry from @OCR_Maths - what fraction is unshaded?