I created these revision cards for a classroom activity, simply they're as helpful for pupils studying at home. These cards comprehend all the facts in addition to definitions that pupils bespeak to larn for each module - I haven't included anything that is given inward the formula booklet.
These cards are based on the Edexcel specification.
Core i in addition to Core ii revision cards
Core iii revision cards
Statistics i revision cards
Statistics ii revision cards
Decision i revision cards
Mechanics i formulae revision (thanks to my boss for creating the M1 cards!)
I promise to create C4 in addition to FP1 adjacent year!
Hope they're helpful! If you lot desire to acquire out me a review or brand suggestions, delight create through TES or Twitter.
Showing posts with label Revision. Show all posts
Showing posts with label Revision. Show all posts
Friday, October 25, 2019
Revision Alongside Twelvemonth 11
As this year's Maths GCSE exams are fast approaching, I idea it mightiness endure helpful to part a few of my revision resources.
My Year 11s expressed their frustration inwards trying to recollect the differences betwixt statistical graphs – especially histograms, frequency polygons together with cumulative frequency graphs. Influenza A virus subtype H5N1 cardinal expanse of confusion is when to move midpoints, endpoints, course of written report widths etc. I created this for them to assist clarify these points: GCSE Graphs Revision Summary
They besides fretted nearly which formulae they had to recollect for mass together with area. In course of written report nosotros went through this sheet - I asked them to label each formula according to whether they needed to acquire it or whether it was provided. I therefore gave them this formula summary to accept away.
In i revision lesson my Year 11s tested each other using these circle theorem revision cards from teachitmaths.co.uk. They loved this lesson together with demanded cards for every topic! I supplied them amongst the other cards from teachitmaths.co.uk, equally good equally my own mixed A* revision cards. I besides encouraged them to brand their ain cards at home.
There are many skillful revision checklists together with progress trackers available online. I've but discovered this great progress booklet for Higher GCSE, created past times Emily Hughes who writes the blog http://ilovemathsgames.wordpress.com/.
Finally, inwards my terminal lesson amongst my Year xi course of written report I went through these ‘hints together with tips’ slides (while they ate cake, of course!). I pulled these slides together over fourth dimension from a diverseness of sources therefore pathetic for non crediting the originators of this material. It includes the rather tasteless but memorable motion-picture demonstrate below, which got a huge reaction from my class! ‘If y'all don’t similar it, don’t produce it!’ I told them. :)
My Year 11s expressed their frustration inwards trying to recollect the differences betwixt statistical graphs – especially histograms, frequency polygons together with cumulative frequency graphs. Influenza A virus subtype H5N1 cardinal expanse of confusion is when to move midpoints, endpoints, course of written report widths etc. I created this for them to assist clarify these points: GCSE Graphs Revision Summary
They besides fretted nearly which formulae they had to recollect for mass together with area. In course of written report nosotros went through this sheet - I asked them to label each formula according to whether they needed to acquire it or whether it was provided. I therefore gave them this formula summary to accept away.
In i revision lesson my Year 11s tested each other using these circle theorem revision cards from teachitmaths.co.uk. They loved this lesson together with demanded cards for every topic! I supplied them amongst the other cards from teachitmaths.co.uk, equally good equally my own mixed A* revision cards. I besides encouraged them to brand their ain cards at home.
There are many skillful revision checklists together with progress trackers available online. I've but discovered this great progress booklet for Higher GCSE, created past times Emily Hughes who writes the blog http://ilovemathsgames.wordpress.com/.
Finally, inwards my terminal lesson amongst my Year xi course of written report I went through these ‘hints together with tips’ slides (while they ate cake, of course!). I pulled these slides together over fourth dimension from a diverseness of sources therefore pathetic for non crediting the originators of this material. It includes the rather tasteless but memorable motion-picture demonstrate below, which got a huge reaction from my class! ‘If y'all don’t similar it, don’t produce it!’ I told them. :)
![]() |
| Source: @mathequalslove |
Deliberate Mistakes
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| Image: weandserendipity.com |
This yr I had slap-up success alongside relay races in addition to carousels inwards my revision lessons. I besides did some pupil-led lessons which were a lot less successful.
This 'deliberate mistakes' sentiment is something I've adapted from this blog post, therefore give thank y'all you to @bkdidact for sharing the link in addition to @kellyoshea for the inspiration. I've never seen this inwards maths earlier but it may hold out that many of y'all already produce it, if therefore in addition to therefore I'd similar to hear your feedback.
The Mistake Game
Students, inwards pairs or pocket-size groups, are given a work to solve in addition to explicate to the class. In their explanation, they must include a deliberate mistake. Not exactly a numerical slip, but something that highlights a possible misconception that their classmates powerfulness have.
If I role this for GCSE revision in addition to therefore by examine questions (the longer, unstructured types) would function best - there's some examples inwards this fantabulous laid of questions from Suffolk Maths. But this sentiment could besides function when education specific topics. I intend I may drive it this yr when education both trigonometry in addition to probability trees.
For example, if y'all role the Mistake Game when education Pythagoras' Theorem, y'all could role this inquiry (solve for x):
The mutual error hither is to non foursquare the four (though students may come upwardly up alongside something else).
Here's some other example, from this worksheet from thechalkface.net.
When each grouping goes through their inquiry on the board, their classmates volition hold out listening carefully to location the mistake, therefore it's slap-up for getting students to focus. I'm non certain how best to organise the responses. Perhaps students could seat their mitt upwardly every bit before long every bit they location the error therefore it tin hold out corrected right away in addition to and therefore the balance of the solution tin hold out done correctly. Or mayhap when the grouping direct keep finished presenting their sum explanation, a volunteer could come upwardly up to the board in addition to right their work. Or maybe later on each presentation the students could verbalise over the work inwards their groups, create upwardly one's heed what was incorrect in addition to re-do the inquiry correctly.
This is a flake similar 'tick or trash' exercises - it's helpful for pupils to hold out aware of mutual mistakes. I've besides used these 'Classic Mistakes' inwards previous revision lessons.
The Mistake Game is besides a practiced chance for students to run into each other’s approaches to solving problems in addition to verbalise over the effectiveness of dissimilar methods.
I intend this activeness volition engage the whole degree - I'll drive it out in addition to allow y'all know! If you've ever tried anything similar this in addition to therefore delight portion your thoughts. I recommend reading near the sense of the instructor who wrote the original post. As she says, ‘we all acquire to a greater extent than when a incorrect response goes upwardly than when we’re only watching perfection’.
For example, if y'all role the Mistake Game when education Pythagoras' Theorem, y'all could role this inquiry (solve for x):
The mutual error hither is to non foursquare the four (though students may come upwardly up alongside something else).
Here's some other example, from this worksheet from thechalkface.net.
There's numerous things they could (deliberately) produce incorrect inwards this one!
When each grouping goes through their inquiry on the board, their classmates volition hold out listening carefully to location the mistake, therefore it's slap-up for getting students to focus. I'm non certain how best to organise the responses. Perhaps students could seat their mitt upwardly every bit before long every bit they location the error therefore it tin hold out corrected right away in addition to and therefore the balance of the solution tin hold out done correctly. Or mayhap when the grouping direct keep finished presenting their sum explanation, a volunteer could come upwardly up to the board in addition to right their work. Or maybe later on each presentation the students could verbalise over the work inwards their groups, create upwardly one's heed what was incorrect in addition to re-do the inquiry correctly.
This is a flake similar 'tick or trash' exercises - it's helpful for pupils to hold out aware of mutual mistakes. I've besides used these 'Classic Mistakes' inwards previous revision lessons.
The Mistake Game is besides a practiced chance for students to run into each other’s approaches to solving problems in addition to verbalise over the effectiveness of dissimilar methods.
I intend this activeness volition engage the whole degree - I'll drive it out in addition to allow y'all know! If you've ever tried anything similar this in addition to therefore delight portion your thoughts. I recommend reading near the sense of the instructor who wrote the original post. As she says, ‘we all acquire to a greater extent than when a incorrect response goes upwardly than when we’re only watching perfection’.
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| Image: bigthink.com |
Thursday, October 24, 2019
5 Maths Gems #2
Last calendar week I promised I'd write a weekly postal service summarising the novel teaching ideas I'd seen on Twitter. Afterwards I worried whether I'd receive got plenty fabric to write about, but this calendar week I wasn't disappointed. Plenty of ideas were shared - here's v of them.1. Revision Whispers. As I've said before, I'm ever on the hold off out for engaging ideas for revision lessons. Billy Adamson (@Billyads_47) shared this fantastic persuasion 'Maths Whispers!' inwards which pupils are given a fact or formula to communicate alongside their classmates, 'Chinese Whispers' style. Billy says that when his students were walking downwardly the corridor afterwards, they were excitedly talking almost what each disputation was initially as well as what it became. I dear this idea. It would function good inwards other subjects too. Check out Billy's resources on TES. Here's a variation I mightiness elbow grease for H5N1 degree revision: separate the course of written report into teams. The teams cast lines from the dorsum of the classroom upwards to the board. The pupils at the dorsum are given a message to read. Here's an example from S2:
2. Post-its. Mr Allan (@mrallanmaths) wrote this blog post almost his role of post-it notes inwards lessons. He displays questions on boards around his classroom. Students (in pairs or teams) function their agency around the room answering the questions on post-it notes. It's a quick as well as tardily agency of assessing agreement as well as finding misconceptions. It's also rattling engaging, fifty-fifty though the questions are exactly from a textbook. The persuasion originated from a tweet past times Chris McGrane (@ChrisMcGrane84) back inwards January. Shelley Smith (@saxsmith27) successfully tried it out this week.
Speaking of post-it notes, I similar this 'What stuck alongside you?' idea, shared past times If yous desire to a greater extent than post-it banking concern notation teaching ideas thence banking concern fit out 'fractions weblog post this calendar week I discovered the blog Authentic Inquiry Maths which is total of expert ideas, similar T-charts for highlighting similarities as well as differences. Pupils role ICT to create their charts as well as yous larn a overnice mix of presentation styles, similar the example below.
Ed Southall's (@edsouthall) tricky maths problems on his website solvemymaths.com are also actually visually appealing as well as I hold off frontward to using them to challenge as well as extend my students adjacent year.
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| Area occupation #2 - solvemymaths.com |
4. Starting a novel schoolhouse year. With solely 2 weeks left inwards the summertime holidays, I've started to run into weblog posts almost things to exercise inwards outset lessons of the schoolhouse year. I wrote a brace myself a few weeks agone - i on your outset lesson alongside Year 7 as well as i on kicking off Year 12. Here's a few to a greater extent than I've spotted lately that are worth a read:
- This 'Deliberate Mistakes, Jo Boaler (@joboaler) talked this calendar week almost the value of mistakes inwards ‘Setting upwards Positive Norms inwards Maths Class'. In this document, she suggests that nosotros brand a habit of inviting pupils to the board to portion their conceptual mistakes. She also suggests that pupils crumple a slice of newspaper as well as throw it at the board - exactly once, inwards a symbolic form of agency - non every fourth dimension they brand a mistake... Though I wonder if that would hold upwards worth trying too, to found a classroom civilisation of ‘everyone makes mistakes’ as well as to encourage risk-taking. Can yous imagine if your pupils threw all their mistakes at the board? It mightiness larn a flake messy. Fun though.
Jo makes a give away of other useful suggestions inwards her article, such equally writing students' expert questions on posters around the room. She also talks almost the importance of valuing depth over speed. Many of my students brand it inwards secondary schoolhouse alongside the impression that it’s of import to exercise maths quickly. ‘Beat the clock’ type activities encourage this. What’s the rush?
So, some helpful thoughts from Jo Boaler. Shame almost the negative article she wrote this calendar week almost maths teaching inwards the UK, but yay to the NCETM for defending us! It’s overnice to know individual has our backs.
And finally...
I'll destination off today's postal service alongside 3 recommended reads:
- Interactive Bulletin Boards for Secondary School Mathematics
- here). By the way, all my weekly Maths Gems posts volition hold upwards filed on this page, which yous tin access from the 'Extras' card on my blog. Thanks for reading.
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5 Maths Gems #5
Twitter is a dissimilar identify similar a shot everyone's dorsum at school. During the 24-hour interval it's actually tranquillity because teachers are difficult at work, only inwards the eventide it comes hold upwards again. Despite beingness the kickoff calendar week of term, the Great Britain maths twitter chats (#mathscpdchat on Tuesdays as well as #mathschat on Wednesdays) were every bit busy every bit always - every bit park they gave me enough of inspiration.This calendar week every bit good saw the provide of instructor blogs. I actually taste reading reflections of what teachers accept been trying inwards their lessons, what went good as well as what didn't. These blogs are a fantastic source of ideas.
This 5th weekly gems transportation is (unintentionally) brought to you lot past times the missive of the alphabet P. It features patterns, puzzles, primes, projects, plenaries as well as posters.
1. Patterns as well as Puzzles
Fawn Nguyen's (blog post virtually a successful lesson inwards which her students were actually engaged inwards exploring these sequences.
Sticking amongst visual maths, Denise Gaskins (@letsplaymath) shared a puzzle from the website 1001 Visual Puzzles. I explored this site as well as constitute that it's full of real odd as well as master puzzles. I every bit good learnt a footling virtually topology - what a bizarre branch of mathematics. Here's an trial of a topological puzzle (students would demand to cite to a map of South America for this):
2. Primes
Primes are actually interesting, aren't they? I've seen to a greater extent than or less peachy materials on primes this week.
Richard Green (@edfromo) is a mathematician who posts regularly on Google+. He writes actually interesting things virtually a broad arrive at of mathematical topics. He frequently features animations which you'll know I'm a fan of if you lot read my transportation virtually animations as well as simulations. For trial this is a real clear explanation of Mersenne primes as well as perfect numbers.

Richard Green (@edfromo) is a mathematician who posts regularly on Google+. He writes actually interesting things virtually a broad arrive at of mathematical topics. He frequently features animations which you'll know I'm a fan of if you lot read my transportation virtually animations as well as simulations. For trial this is a real clear explanation of Mersenne primes as well as perfect numbers.

If you're thinking of doing something on primes amongst your students, @the_chalkface shared this splendid true or fake activity which students volition detect interesting as well as stretching.
I every bit good similar this action 'Further Factor Properties' from @TeachitMaths, mainly because it involves sexy primes as well as I'm a chip young similar that.
I every bit good similar this action 'Further Factor Properties' from @TeachitMaths, mainly because it involves sexy primes as well as I'm a chip young similar that.
4. Projects
I've never take in of textbook redesign before, only it could hold upwards a actually adept mini-project at the halt of a topic. On blog post virtually a successful lesson inwards which her students were actually engaged inwards exploring these sequences.
Sticking amongst visual maths, Denise Gaskins (@letsplaymath) shared a puzzle from the website 1001 Visual Puzzles. I explored this site as well as constitute that it's full of real odd as well as master puzzles. I every bit good learnt a footling virtually topology - what a bizarre branch of mathematics. Here's an trial of a topological puzzle (students would demand to cite to a map of South America for this):
2. Primes
Sticking amongst visual maths, Denise Gaskins (@letsplaymath) shared a puzzle from the website 1001 Visual Puzzles. I explored this site as well as constitute that it's full of real odd as well as master puzzles. I every bit good learnt a footling virtually topology - what a bizarre branch of mathematics. Here's an trial of a topological puzzle (students would demand to cite to a map of South America for this):
2. Primes
Primes are actually interesting, aren't they? I've seen to a greater extent than or less peachy materials on primes this week.
Richard Green (@edfromo) is a mathematician who posts regularly on Google+. He writes actually interesting things virtually a broad arrive at of mathematical topics. He frequently features animations which you'll know I'm a fan of if you lot read my transportation virtually Pythagoras' Theorem as well as added a topic specials page as well as thus you lot tin chop-chop detect similar posts. I every bit good had a rant virtually student targets inwards which I questioned whether they are effective or fifty-fifty necessary. After Ed Southall (@edsouthall) shared these awesome wall decals, I updated my mathsy gifts page. I've every bit good added a brace to a greater extent than homeworks to the Pret homeworks page.
How adept are you lot at drawing lines of best fit? Test yourself here (thanks to @MARitchings) - fun for teachers as well as every bit good a useful lesson resource.
Finally - look, blog post virtually a successful lesson inwards which her students were actually engaged inwards exploring these sequences.
Sticking amongst visual maths, Denise Gaskins (@letsplaymath) shared a puzzle from the website 1001 Visual Puzzles. I explored this site as well as constitute that it's full of real odd as well as master puzzles. I every bit good learnt a footling virtually topology - what a bizarre branch of mathematics. Here's an trial of a topological puzzle (students would demand to cite to a map of South America for this):
2. Primes
Richard Green (@edfromo) is a mathematician who posts regularly on Google+. He writes actually interesting things virtually a broad arrive at of mathematical topics. He frequently features animations which you'll know I'm a fan of if you lot read my transportation virtually Pythagoras' Theorem as well as added a topic specials page as well as thus you lot tin chop-chop detect similar posts. I every bit good had a rant virtually student targets inwards which I questioned whether they are effective or fifty-fifty necessary. After Ed Southall (@edsouthall) shared these awesome wall decals, I updated my mathsy gifts page. I've every bit good added a brace to a greater extent than homeworks to the Pret homeworks page.
How adept are you lot at drawing lines of best fit? Test yourself here (thanks to @MARitchings) - fun for teachers as well as every bit good a useful lesson resource.
Finally - look, blog post virtually a successful lesson inwards which her students were actually engaged inwards exploring these sequences.
Sticking amongst visual maths, Denise Gaskins (@letsplaymath) shared a puzzle from the website 1001 Visual Puzzles. I explored this site as well as constitute that it's full of real odd as well as master puzzles. I every bit good learnt a footling virtually topology - what a bizarre branch of mathematics. Here's an trial of a topological puzzle (students would demand to cite to a map of South America for this):
2. Primes
Primes are actually interesting, aren't they? I've seen to a greater extent than or less peachy materials on primes this week.
Richard Green (@edfromo) is a mathematician who posts regularly on Google+. He writes actually interesting things virtually a broad arrive at of mathematical topics. He frequently features animations which you'll know I'm a fan of if you lot read my transportation virtually my final maths gems post.
Richard Green (@edfromo) is a mathematician who posts regularly on Google+. He writes actually interesting things virtually a broad arrive at of mathematical topics. He frequently features animations which you'll know I'm a fan of if you lot read my transportation virtually my final maths gems post.
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
2. Two Superb Resources
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.
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.
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.
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:
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.
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:
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!
- 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.
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.
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.
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.
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| 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 #18
Most of my readers in all probability already subscribe to Chris Smith's lovely maths newsletter. Full of instruction ideas, puzzles, jokes together with mathematical trivia, it's a joy to have every week. Chris has been producing the newsletter since 2007 when he was a wee NQT. Amongst other things, the newsletter is a fantastic machinery for sharing expert practice.Chris instantly has over 900 newsletter subscribers. This calendar week he published his 303rd issue. I've exclusively been subscribing for a twosome of months but Chris was variety plenty to part his entire dorsum catalogue alongside me, which I've actually enjoyed reading. The ideas inwards my weekly gems posts are usually sourced from Twitter, but today I characteristic my v favourite ideas from the kickoff 100 issues of Chris's newsletters. Huge cheers to Chris for allowing me to create this!
1. Factorising
Here's a lovely thought for introducing factorising.
2. Connecting numbers
This is a actually squeamish starter action to prepare ideas relating to number properties.
3. Learning yesteryear Rope
This is neat for exploring polygons.
4. Finding a Route
Another squeamish starter activity.
5. Revision notes
In Issue 27, Chris featured an thought from TES which is designed to encourage students to revise for tests.“I gave each pupil an A4 sail of newspaper alongside their lift together with my signature on it together with told them they had a essay out coming upwards together with they were allowed to choose the blank page inwards alongside them. It was upwards to them what they did alongside the page. If they wrote on it, fine, if they didn't, fine. Immediately ane of the to a greater extent than troublesome pupils shouted out, “Great! I'm going to re-create downward all the examples from my book.” Objective ane achieved. They were going to revise.
At the destination of the test, I collected their sheets to await at them inwards to a greater extent than detail. It was really rewarding when pupils pretty much demanded that they got them back. Objective 2 achieved. My pupils instantly value all of their revision notes."
Puzzles
Each of Chris's newsletters features a puzzle - here's 2 that I peculiarly liked (answers are at the bottom of this post):
And finally, 2 bits of trivia:
And finally, 2 bits of trivia:
That's it from Chris's newsletters for now, but I volition choose yous to a greater extent than or less to a greater extent than newsletter gems later I've read the adjacent 100 issues. Don't forget to follow Chris on Twitter together with email him if you'd similar to have his weekly newsletters.
What I've been upwards to
I've had a busy together with emotional week. My motherhood operate out is coming to an destination together with I'm keen to start planning lessons. I don't accept my timetable yet, then am eagerly awaiting tidings of what classes I'll last instruction inwards 3 weeks. On Tuesday I hosted #mathscpdchat which was all most mutual mathematical misconceptions - yous tin plough over the sack read a summary here. On Wed I had a labor interview inwards which I taught a lesson on indices to a Year 8 course of report - it was fun to last dorsum inwards the classroom together with I'm pleased to tell I got the job, then volition last moving schools inwards May to drib dead an Aspiring Lead Practitioner. I was too really proud to accept an article published inwards Academies Week most the novel maths GCSE together with the associated problems alongside recruitment. Feedback together with comments are really welcome.
Puzzle answers: 1. r = 29 2. Pi/2
I've had a busy together with emotional week. My motherhood operate out is coming to an destination together with I'm keen to start planning lessons. I don't accept my timetable yet, then am eagerly awaiting tidings of what classes I'll last instruction inwards 3 weeks. On Tuesday I hosted #mathscpdchat which was all most mutual mathematical misconceptions - yous tin plough over the sack read a summary here. On Wed I had a labor interview inwards which I taught a lesson on indices to a Year 8 course of report - it was fun to last dorsum inwards the classroom together with I'm pleased to tell I got the job, then volition last moving schools inwards May to drib dead an Aspiring Lead Practitioner. I was too really proud to accept an article published inwards Academies Week most the novel maths GCSE together with the associated problems alongside recruitment. Feedback together with comments are really welcome.
Puzzle answers: 1. r = 29 2. Pi/2
5 Maths Gems #22
Hello as well as welcome to my 22nd gems postal service - this is where I part 5 instruction ideas I've seen on Twitter.I've discovered at schoolhouse this calendar week that alter is hard. It's slowly to tell 'I'm non going to learn it similar that anymore' or 'I get got a fantastic novel thought for instruction this topic' but when it comes to truly delivering lessons it's slowly to stick with tried as well as tested methods as well as resources. We desire our students to accept risks but how oft do nosotros accept risks equally teachers? This has been on my hear a lot this calendar week - I'll write a postal service close this soon.
1. 2015
Every yr Chris Smith features the Math Forum Year Game inward his newsletter. The idea is to purpose the digits inward the yr 2015 as well as the operations +, -, x, ÷, ^ (raised to a power), sqrt (square root), as well as ! (factorial), to write expressions for the integers 1 to 100. Answers tin last submitted through the Math Forum website, or perchance you lot could brand a classroom/corridor display similar these examples:
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| 2015 Challenge classroom display by @Jeremy_Denton |
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| Challenge 2015 display by @c0mplexnumber |
2. The Constant Character
Teaching indefinite integration? I loved this tweet from @inFinnityPi.
3. 'I helped'
H5N1 prissy thought from @GiftedBA - 'I helped' stickers to encourage students to offering each other meaningful assist as well as to recognise those who do so. Download a sticker template here.
4. What's the question?
H5N1 truly prissy thought from Marcus Fleet is to write an reply on the board as well as enquire students for possible questions.
It's prissy that the shape get got chosen a winning question!
I'm quite surprised to encounter the sort of algebra students are doing inward Year half dozen - it's to a greater extent than advanced than I realised.
In the conversation that followed this tweet, Miss_Ren said that she likes to write a issue on the board as well as enquire what the enquiry could get got been. It links to all areas of maths as well as requires no printed resources. Paul Godding shared about similar ideas - such equally writing 5, nine as well as 10 on the board as well as scream for for the strange i out (students get got to come upwards up with ii reasons for each answer). There's charge to a greater extent than fantastic problems similar this on Paul's website 7puzzleblog.com.
If you're instruction a Year xi shape I retrieve it's good worth showing them this moving painting from @TheMathsMagpie to ensure they are aware that they shouldn't function exterior the allocated spaces inward their exams.
This post gives to a greater extent than data close the moving painting above. Use it with this rattling helpful develop of slides GCSE Maths - Easy Ways to Make Sure You Don't Lose Marks, besides from @TheMathsMagpie.
WWW/EBI
I'm resisting the urge to write a weekly postal service reflecting on what went good (and what didn't become well) at school. Instead I'll but characteristic i personal reflection inward each of my gems posts.
I'm instruction angles to Year seven at the moment. I gave them a homework inward which they were required to orbit reasons for their answers. Some students gave vivid reasons as well as I was pleased to encounter the right purpose of mathematical price I'd taught them such equally 'supplementary'. But many students but wrote out their calculations inward words instead of stating the angle facts they'd used.
In their defence, nosotros hadn't practised 'giving reasons' inward class, as well as so I decided to address this past times setting about angle problems as well as scream for for total reasons with each answer. Conveniently Don Steward has but published a develop of angle problems that were the right degree of challenge.
I'm instruction angles to Year seven at the moment. I gave them a homework inward which they were required to orbit reasons for their answers. Some students gave vivid reasons as well as I was pleased to encounter the right purpose of mathematical price I'd taught them such equally 'supplementary'. But many students but wrote out their calculations inward words instead of stating the angle facts they'd used.
It seemed similar a skilful thought but I wouldn't tell the lesson went well. What happened was that my students were writing such detailed reasons inward total sentences that it became truly time-consuming (for instance solving enquiry 8 inward a higher identify involves using 3 dissimilar angle facts, therefore 3 sentences). They were doing as well as so much writing that they weren't doing plenty maths for my liking. Plus you lot could hear a pivot drib inward my classroom, as well as that makes me uncomfortable. In the halt I told them to halt writing total sentences as well as write one-word bullet points instead (eg isoscoles/triangle/straight line/complementary etc). They were truly relieved! I'd beloved to hear my readers' thoughts on this - should I get got persevered with the irksome but of import sentence-writing practice? I'm non sure. Please tweet me your opinion!
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