Showing posts with label Sequences. Show all posts
Showing posts with label Sequences. Show all posts

Thursday, October 24, 2019

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.

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.

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
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
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.



5 Maths Gems #23

It seems similar ages since my final gems post. School has been busier than I anticipated. This calendar week I had reports to write in addition to a Parents' Evening to attend - both tasks were peculiarly challenging because I've alone been teaching these classes for a few weeks. I've also been mark at dwelling every eventide therefore it's difficult to detect fourth dimension for Twitter in addition to blogging. I receive got 3 other posts inward draft - ane almost teaching quadratics, ane almost spontaneity in addition to ane featuring some other batch of highlights from Chris Smith's newsletter dorsum catalogue. So sentinel this space, they're all coming soon! In the meantime, here's 5 ideas yous powerfulness detect useful.

1. Perspective
I've been teaching 3D visualisation to my Year 7s this calendar week (isometric drawing, plans, elevations in addition to nets). I've decided that this is ane of my top 3 'worst topics to teach' amongst constructions in addition to transformations. But it did give me an chance to locomote the flick below, which I got from Twitter a few months agone (original source unknown - delight say me if yous know!). I set it on the board when my students arrived for their lesson on plans in addition to elevations.
2. Etymathology
My novel favourite Twitter line of piece of work concern human relationship is Gems 10.

This week @BedtimeMath shared this fact almost seconds, which I'd never heard before:
It's funny how nosotros tin give the sack locomote a discussion similar 'seconds' our whole lives in addition to never give whatever thought to where it came from. Etymathology followed this tweet with the origins of the discussion minute:
And at that spot yous become - some other lawsuit of Twitter's contribution to education. I acquired novel cognition to overstep straight to my students. I expect frontward to learning more!

3. Match My Parabola
I've written almost Desmos many times, most late inward my postal service Polygraph Rocks. I'm ever nifty to remove heed novel ideas for teaching with Desmos therefore I loved Michael Fenton's (@mjfenton) post 'Match My Parabola'.
The postal service describes a lesson suitable for Higher GCSE or Core AS students studying quadratics. The thought is that students are given a laid of coordinates in addition to receive got to detect a quadratic business office that passes through them. Michael rattling helpfully provides 10 activities - all your students receive got to produce is click on the links in addition to consummate the tasks (here's an example for yous to receive got a become at - locomote inward your business office inward jail cellular telephone ix on the left to encounter if you're right).

Michael has previously written almost 'Match My Line' - a similar lesson but for linear graphs, suitable for Key Stage 3 or 4. I've establish that students of whatever historic menses dearest playing with Desmos therefore I'm looking frontward to using this ane too. Really clever ideas from Michael.
4. Valentines Relay
It's alone 2 weeks until half-term! Fri 13th Feb would locomote a adept 24-hour interval to produce Chris Smith's (@aap03102) lovely Valentines Maths Relay Race.
5. War on Error
Do your students proceed making the same mistake? Highlight mutual misconceptions inward a display using Mr Taylor's (post for total details. This calendar week ane of my students wrote (x + 5)2 = x2 + 25 therefore that would locomote my outset entry to the display!
That's it for my gems this week, but deport with me - I receive got a few to a greater extent than things I desire to say yous about...

Multiple Choice Tests
I wrote almost multiple alternative tests in addition to Quick Key inward Gems 11. This calendar week I tried it out for the outset time. Like my outset endeavour at using Plickers, it wasn't rattling successful! But I produce recall to essay both apps in ane lawsuit again - I recall they require a fleck of practice.

Quick Key is an app that scans multiple alternative tests in addition to gives yous instant feedback on results. I establish it rattling slowly to ready - I wrote a short quiz on quadratics in addition to exactly entered the right answers to Quick Key every bit I wrote it. In the lesson, I gave my students twenty minutes to brand themselves a ane page summary of everything we'd covered on quadratics, in addition to and then I gave them a twenty infinitesimal quiz inward which they were allowed to refer to their revision sheet.

I was excited almost mark the tests using Quick Key but I establish it rattling difficult to detect a shadow-free, glare-free identify to scan. In the destination it took exactly every bit long every bit if I'd marked them past times hand. The essay out results varied from 20% to 100%, with most students getting 80% or 90% (the most mutual error was choosing H5N1 instead of C inward the enquiry below). So it was a successful exercise inward assessing the agreement of each pupil in addition to confirming that the bulk of students were create to movement onto the adjacent topic, in addition to at in ane lawsuit I exactly demand to figure out how to address the gaps with those who got a depression score.
So inward summary, the lesson inward which students made a revision summary in addition to then took a brusque multiple alternative essay out was successful, but I'll demand to acquire the hang of Quick Key.

World's Hardest Geometry Problem
I've exactly finished teaching angles to Year vii in addition to was actually impressed when ane of my students told me that she'd establish an angles occupation online in addition to had spent 2 hours working on it over the weekend, but fifty-fifty with the assistance of all her household unit of measurement she couldn't solve it. It turned out to locomote the 'World's Hardest Easy Geometry Problem' which I've featured before... I promised her I'd receive got a become at it this weekend - I suspect I may destination upwardly bespeak Twitter for help!

Don Watch
Have yous been keeping an oculus on all the bright novel resources on Jumping along a line', suggested using the 0th term to piece of work out the nth term of a sequence. This isn't how I ordinarily learn sequences but I'll essay it adjacent time.

I also spotted the 0th term on a Pret homework that Grant Barker (@AccessMaths) sent me this week. We've at in ane lawsuit got to a greater extent than than 100 homeworks on prethomework.weebly.com so if you're ever looking for novel homework ideas in addition to then produce cheque it out.
Mr Maths
Finally, I'll locomote out yous with ane of the fantastic images made by @solvemymaths this calendar week - cheque out his blog for the total 'Math Mr Men Series'.


Tricks In Addition To Tips 2: Sequences, Linear Graphs In Addition To Surds

I lately presented a workshop at the National Mathematics Teacher Conference (Highest Common Factor.

Linear Sequences
What's the nth term of the sequence below?

5, 8, 11, 14, 17, ...

It powerfulness solely guide keep you lot a instant to operate it out - how did you lot create it? This is roughly other 1 of those topics where there's lots of dissimilar approaches. Ask the same interrogation to a random sample of teenagers from across the United Kingdom of Great Britain in addition to Northern Ireland in addition to you'll regard a broad arrive at of methods used.

Here I'm going to depict 4 dissimilar methods (there may travel more!). As you lot read them, consider whether you're going to stick alongside the method you lot currently use, or bear witness something new.

1. Zeroth term
Inspired past times this post on Don Steward's blog, I taught the 0th term method for the starting fourth dimension time this year. To operate out the value of q inwards the nth term Un = pn + q, nosotros precisely footstep dorsum from the starting fourth dimension term inwards the sequence (ie q = U0).
In the illustration 5, 8, 11, 14, 17..., subtract 3 from the starting fourth dimension term to learn U0 = 2. So the nth term is 3n + 2. This method is thence quick that it's forthwith my preferred method for working out nth terms.

When I taught this method it went well, although a misconception did surface afterwards on. When students were asked to 'write downwards the starting fourth dimension 3 price of the sequence 4n + 3', roughly of them gave the respond 3, 7, xi (ie they started their sequences from n = 0 instead of n = 1). This is something to travel aware of side past times side fourth dimension I instruct this method.
Jumping along a trace of piece of job - Median Don Steward

2. Shifting times tables
'Shifting times tables' is a pop method. The see is that nosotros compare our sequence to a times table.  In the illustration below, compare the sequence to the 3 times table. Ask your students how to shift the iii times tabular array to learn the sequence in addition to they'll topographic point that they demand to add together two, thence the  nth term is 3n + 2.
If you lot project design to role this method for the starting fourth dimension time in addition to thence I recommend this NRICH article Shifting Times Tables, which comes alongside an interactive tool. If you lot subscribe to MathsPad, they also guide keep an interactive tool for identifying shifts.

This method plant good for quadratic sequences also (a topic on the novel GCSE syllabus). For illustration to notice the nth term of the sequence 4, 7, 12, 19, 28 nosotros tin compare it to n2 in addition to notice that it is shifted upwards past times 3 (ie the nth term is n2 + 3).
3. Formula
It's fairly straightforward to derive the next formula for the nth term:
Why create nosotros confine this formula to Influenza A virus subtype H5N1 level? I 1 time took on a GCSE flat inwards Year xi in addition to asked them to notice roughly nth terms inwards a revision lesson. I was surprised to regard them all using 'the Influenza A virus subtype H5N1 flat formula' - their previous instructor had taught them it, in addition to why not? They seemed quite happy alongside it. I wouldn't role it alongside my Year 7s though - their algebra skills are really basic when they starting fourth dimension encounter sequences. In our example, this is what they'd guide keep to create to notice the nth term:
Perhaps this is to a greater extent than assay than necessary. The 0th term method is considerably quicker.

4. Substitution
This is the means I taught sequences for years. To operate out the value of q inwards the nth term Un = pn + q, nosotros substitute a value for Un, p in addition to n, in addition to thence solve for q. For illustration inwards the sequence below, nosotros know that Un = 3n + q. We substitute the starting fourth dimension term to learn v = 3 + q. Therefore q = 2.
Thinking almost it, this is the same method I'd role to notice the value of c inwards y = mx + c if I know the slope in addition to a signal on the line. In fact given that linear graphs are precisely graphical representations of linear sequences, whatever methods for finding the equation of a direct trace of piece of job operate for finding the nth term of a sequence. I don't create plenty to brand this connectedness alongside my students.

Linear Graphs
Influenza A virus subtype H5N1 direct trace of piece of job through the signal (5, 7) has slope 4. How would you lot notice the equation of the line?

As I said inwards my ship almost linear graphs, I instruct this differently at GCSE in addition to Influenza A virus subtype H5N1 level. Wouldn't it travel amend to alternative my preferred approach in addition to stick alongside it? 

At GCSE my students write downwards y = mx + c in addition to substitute values for y, one thousand in addition to x, in addition to thence solve for c (let's telephone outcry upwards this Method 1). At Influenza A virus subtype H5N1 flat my pupils role the formula y - y1 = m(x - x1) (let's telephone outcry upwards this Method 2). Look at the steps involved - for this question, the methods are as efficient.
My electrical flow Year 10s had an American instructor terminal term - she covered linear graphs alongside them. When nosotros came to revise this topic, they took a piece to figure out where to start. Evetually I heard 1 say, "is this the point-slope thing? What was that formula again?". 
OK, thence they'd been taught to telephone outcry upwards slope 'slope', that's easily fixed. But they'd also been taught Method 2 in addition to they couldn't retrieve the formula. This is a problem. Given that there's less to memorise, I intend they'd travel amend off alongside Method 1. 

It's worth reading Nix the Tricks (essential reading for all maths teachers), we're shown a pedagogy clit a fast 1 on called 'Jailbreak Radicals'. Thankfully I've never seen this 'zero conceptual agreement method' used inwards the UK.
Instead, most teachers tell students to pose a foursquare component in addition to and thence dissever the surd accordingly eg √45 = √9√5 = 3√5.
Sometimes students scrap to topographic point foursquare factors. In this illustration they powerfulness prefer to simplify using prime number factors.
Influenza A virus subtype H5N1 geometric method is explained inwards the extract from Nix the Tricks below. Try to simplify a few surds similar this yourself in addition to regard what you lot think. Notice that you lot nonetheless demand to pose a foursquare factor.
Source: Nix the Tricks
The feedback from my conference workshop suggests that roughly people notice this unnecessarily complicated. But if you're going to bear witness it, I recommend this post by @ChrisHunter36 and this resource (pages v - 6) past times @314Piman.

That's it for today's post. I promise you've establish it helpful. Please comment below or tweet me if you lot know of whatever alternative methods for pedagogy these topics. My side past times side ship volition travel all almost quadratics - sketching, expanding in addition to factorising.

5 Maths Gems #28

Hello too welcome to my 28th gems post. This is where I part v teaching ideas I've seen on Twitter.

1. Math Snacks
I spotted a tweet from @fawnpnguyen near the website mathsnacks.com. The website's tagline is 'Smart educational animations, mini-games, too interactive tools that handle mid-school learners amend sympathise math concepts'. Check out the animation Atlantean Dodgeball which is all near ratio. The video is clever too funny too the associated resources are real good.



The other animations are also worth a look. Number Rights, inwards which a passionate fractional activist rises upwards too demands equity for all numbers, is lovely (if a picayune bizarre).

2. Election Graphs
Cav (It's election fourth dimension again' inwards which he presented unopen to of the terrible graphs that accept been distributed equally component of the full general election campaign. The trial below is component of Liberal Democrat MP Greg Mulholland's (@gregmulholland1) campaign. I happened to last teaching graphs to Year vii this calendar week thus I showed them this example. I asked them to position the errors too verbalize over why individual would create such a misleading graph. It was a actually expert discussion.
Adam Creen (@adamcreen) had a bully watch for a related lesson - he produced a Mulholland Graphs activity in which students were asked to create corrected graphs.
3. Two New Blogs
Stacy Brookes (@Stacy_Maths) has started a lovely novel website www.missbrookesmaths.co.uk. She real helpfully writes weblog posts featuring recommended resources. Stacy searches the network thus yous don't accept to! For trial if you're planning a lesson on expanding unmarried bracketsratio or plans, elevations too isometric drawing then you're inwards luck - she has a post service for each of these topics. There's enough to a greater extent than on her website (and lots yet to come!) thus attain explore.
Miss Norledge's (@MissNorledge) website www.norledgemaths.com is also excellent. Miss Norledge shares loads of bully resources too teaching ideas - for trial depository fiscal establishment lucifer out this post service on Pythagoras' Theorem, this post service on completing the foursquare using algebra tiles too this post service on multiplication methods. She also does a regular 'Pick of Twitter' post. 

Both websites are fantastic for a resourceaholic similar me too I hold off forrad to seeing them grow. Do brand certain you're next @Stacy_Maths too @MissNorledge on Twitter.

4. Resources for the New GCSE
Here's an trial of a theme that's novel to GCSE Maths from September:
We similar a shot demand to instruct 'Fibonacci type sequences, quadratic sequences too uncomplicated geometric progressions... too other sequences'. I fearfulness that nosotros are under-resourced here. For unopen to novel topics, such equally quadratic inequalities too chemical compound too inverse functions, nosotros tin utilisation existing iGCSE too H5N1 marker resources. But unopen to topics currently accept real picayune available thus nosotros demand to outset creating resources. Ed Southall (@solvemymaths) has started the ball rolling past times creating these lovely activities - Geometric Sequences Card Sort and Geometric Sequences Worksheet.
I desire to outset adding resources for novel GCSE topics to my libraries so attain allow me know if yous brand or discovery something good.

5. Classroom Practice
I dear it when teachers part photos of interesting piece of job their students accept done inwards class. This is what Twitter for teachers is all near - sharing too inspiring. Here's a modest option of pupil piece of job that caught my optic inwards the in conclusion week.
3D enlargements from @ThetfordMaths
Interesting approach from @mburnsmath's student


Fractional representations from @surreallyno
Number bonds activity from @LttMaths...
...and solution from @BucksburnMaths
Update
I'm ridiculously busy at schoolhouse at the moment. I instruct 4 show classes (Year 11, Year thirteen too 2 Year 12 classes) thus I'm doing a lot of in conclusion show preparation. If you're inwards the same boat, yous mightiness last interested inwards my recent post service near Higher GCSE Revision Resources. My resource libraries also comprise revision resources for both GCSE too H5N1 level.

Last calendar week my subdivision had an Inset inwards which nosotros looked at questions from the novel GCSE too discussed our schemes of work. Looking at the It's election fourth dimension again' inwards which he presented unopen to of the terrible graphs that accept been distributed equally component of the full general election campaign. The trial below is component of Liberal Democrat MP Greg Mulholland's (@gregmulholland1) campaign. I happened to last teaching graphs to Year vii this calendar week thus I showed them this example. I asked them to position the errors too verbalize over why individual would create such a misleading graph. It was a actually expert discussion.
Adam Creen (@adamcreen) had a bully watch for a related lesson - he produced a Mulholland Graphs activity in which students were asked to create corrected graphs.
3. Two New Blogs
Stacy Brookes (@Stacy_Maths) has started a lovely novel website www.missbrookesmaths.co.uk. She real helpfully writes weblog posts featuring recommended resources. Stacy searches the network thus yous don't accept to! For trial if you're planning a lesson on expanding unmarried bracketsratio or plans, elevations too isometric drawing then you're inwards luck - she has a post service for each of these topics. There's enough to a greater extent than on her website (and lots yet to come!) thus attain explore.
Miss Norledge's (@MissNorledge) website www.norledgemaths.com is also excellent. Miss Norledge shares loads of bully resources too teaching ideas - for trial depository fiscal establishment lucifer out this post service on Pythagoras' Theorem, this post service on completing the foursquare using algebra tiles too this post service on multiplication methods. She also does a regular 'Pick of Twitter' post. 

Both websites are fantastic for a resourceaholic similar me too I hold off forrad to seeing them grow. Do brand certain you're next @Stacy_Maths too @MissNorledge on Twitter.

4. Resources for the New GCSE
Here's an trial of a theme that's novel to GCSE Maths from September:
We similar a shot demand to instruct 'Fibonacci type sequences, quadratic sequences too uncomplicated geometric progressions... too other sequences'. I fearfulness that nosotros are under-resourced here. For unopen to novel topics, such equally quadratic inequalities too chemical compound too inverse functions, nosotros tin utilisation existing iGCSE too H5N1 marker resources. But unopen to topics currently accept real picayune available thus nosotros demand to outset creating resources. Ed Southall (@solvemymaths) has started the ball rolling past times creating these lovely activities - Geometric Sequences Card Sort and Geometric Sequences Worksheet.
I desire to outset adding resources for novel GCSE topics to my libraries so attain allow me know if yous brand or discovery something good.

5. Classroom Practice
I dear it when teachers part photos of interesting piece of job their students accept done inwards class. This is what Twitter for teachers is all near - sharing too inspiring. Here's a modest option of pupil piece of job that caught my optic inwards the in conclusion week.
3D enlargements from @ThetfordMaths
Interesting approach from @mburnsmath's student


Fractional representations from @surreallyno
Number bonds activity from @LttMaths...
...and solution from @BucksburnMaths
Update
I'm ridiculously busy at schoolhouse at the moment. I instruct 4 show classes (Year 11, Year thirteen too 2 Year 12 classes) thus I'm doing a lot of in conclusion show preparation. If you're inwards the same boat, yous mightiness last interested inwards my recent post service near quadratics.

It's election fourth dimension again' inwards which he presented unopen to of the terrible graphs that accept been distributed equally component of the full general election campaign. The trial below is component of Liberal Democrat MP Greg Mulholland's (@gregmulholland1) campaign. I happened to last teaching graphs to Year vii this calendar week thus I showed them this example. I asked them to position the errors too verbalize over why individual would create such a misleading graph. It was a actually expert discussion.
Adam Creen (@adamcreen) had a bully watch for a related lesson - he produced a Mulholland Graphs activity in which students were asked to create corrected graphs.
3. Two New Blogs
Stacy Brookes (@Stacy_Maths) has started a lovely novel website www.missbrookesmaths.co.uk. She real helpfully writes weblog posts featuring recommended resources. Stacy searches the network thus yous don't accept to! For trial if you're planning a lesson on expanding unmarried bracketsratio or plans, elevations too isometric drawing then you're inwards luck - she has a post service for each of these topics. There's enough to a greater extent than on her website (and lots yet to come!) thus attain explore.
Miss Norledge's (@MissNorledge) website www.norledgemaths.com is also excellent. Miss Norledge shares loads of bully resources too teaching ideas - for trial depository fiscal establishment lucifer out this post service on Pythagoras' Theorem, this post service on completing the foursquare using algebra tiles too this post service on multiplication methods. She also does a regular 'Pick of Twitter' post. 

Both websites are fantastic for a resourceaholic similar me too I hold off forrad to seeing them grow. Do brand certain you're next @Stacy_Maths too @MissNorledge on Twitter.

4. Resources for the New GCSE
Here's an trial of a theme that's novel to GCSE Maths from September:
We similar a shot demand to instruct 'Fibonacci type sequences, quadratic sequences too uncomplicated geometric progressions... too other sequences'. I fearfulness that nosotros are under-resourced here. For unopen to novel topics, such equally quadratic inequalities too chemical compound too inverse functions, nosotros tin utilisation existing iGCSE too H5N1 marker resources. But unopen to topics currently accept real picayune available thus nosotros demand to outset creating resources. Ed Southall (@solvemymaths) has started the ball rolling past times creating these lovely activities - Geometric Sequences Card Sort and Geometric Sequences Worksheet.
I desire to outset adding resources for novel GCSE topics to my libraries so attain allow me know if yous brand or discovery something good.

5. Classroom Practice
I dear it when teachers part photos of interesting piece of job their students accept done inwards class. This is what Twitter for teachers is all near - sharing too inspiring. Here's a modest option of pupil piece of job that caught my optic inwards the in conclusion week.
3D enlargements from @ThetfordMaths
Interesting approach from @mburnsmath's student


Fractional representations from @surreallyno
Number bonds activity from @LttMaths...
...and solution from @BucksburnMaths
Update
I'm ridiculously busy at schoolhouse at the moment. I instruct 4 show classes (Year 11, Year thirteen too 2 Year 12 classes) thus I'm doing a lot of in conclusion show preparation. If you're inwards the same boat, yous mightiness last interested inwards my recent post service near post near it here). Lots of teachers are enjoying finding ideas too resources through #mathsTLP - attain bring together inwards at 7pm on Sundays, all welcome.
Last Fri I attended the UK Blog Awards 2015 (no, that's non my hubby inwards the motion-picture demo above! Just the Mad Hatter). I had a lovely eventide too was incredibly pleased that my weblog was Highly Commended inwards the Individual Education category. I haven't stopped grin yet! Thank yous all for your support.

I'll exit yous alongside this puzzle, which was originally shared by @mathsExplorers dorsum inwards October: "To solve this multiplication grid, house digits 1 to 9. You accept to utilisation each digit ane time too solely once".