Showing posts with label Resources. Show all posts
Showing posts with label Resources. Show all posts

Friday, October 25, 2019

Logs

I similar pedagogy logarithms but my students abide by them genuinely hard. There's a broad diverseness of C2 examination questions on logs then pupils genuinely accept to empathise the topic, they can't only acquire a gear upwards of rules to acquire by. This is a skilful matter of course.

This weblog post from Sarah Hagan has absolutely loads of activities for pedagogy logs in addition to her subsequent post has only about follow-up activities.

There's a broad gain of pedagogy ideas inward this Logarithm Functions booklet from Mathematics Vision Project, which starts alongside an ordering activity:
Mathematics Vision Project
STEM Centre supply four resources designed to practice the basics in addition to extend agreement of logarithms, summation only about opened upwards ended questions for give-and-take or a mini-whiteboard activity. I've constitute the truthful or faux exercise specially effective for identifying misconceptions inward the past times (longer version alongside answers here).

Susan Wall - via STEM Centre

Here are only about to a greater extent than of my favourite resources for pedagogy logs to Year 12:




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Dividing Past Times Zero

I found this on Pinterest and now role it to assist my pupils shout back the rules regarding segmentation too zero.  It seems to work!

I also similar to exhibit them a featherbrained meme similar the i below to help the rule stick inwards their heads.  A search for 'divide past times zero' on Google Images brings upward loads of these. I practice apologise to my pupils inwards advance for the bad language, which I mean value makes it to a greater extent than memorable.


I was really pleased when one of my pupils lately wrote this inwards a test. It's prissy to run into that approximately of them pay attention!


Most calculators laissez passer on the message ‘Maths Error’ when a publish is divided past times zero.  It’s crucial that pupils sympathise why. For didactics ideas, I recommend this first-class weblog post 'Why can't you lot split past times zero?'.

We role this agreement when solving equations similar this:  x2 - 5x = 0. H5N1 mutual error is to divide past times x to buy the farm x - five = 0. This incorrectly gives alone i solution (x = 5). Knowing that nosotros shouldn't split past times x because x could locomote null (unless we're told otherwise) allows us to sympathise why the right method is to factorise ie x(x-5) = 0, giving the ii solutions x = 0 too x = 5.

To stretch your students, endeavour this interesting activeness nearly the value of 00, Evaluating a Special Exponential Expression from Illustrative Mathematics.

It's interesting that throughout history, many nifty mathematicians (including Euler) guide keep argued that segmentation past times null gives infinity. Most modern mathematicians accept it every bit undefined.  If you lot desire to practice approximately background reading on the ‘history’ of dividing past times zero, I recommend this article - it's an enjoyable read.



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Angles Facts

I've e'er taught angles inwards parallel lines equally Fs, Cs too Zs, but I late discovered that pupils prefer to think of Fs, Us too Ns, which operate inwards precisely the same agency but may live on easier to retrieve because they acre the give-and-take FUN.

(image from greatmathsteachingideas.com)

Of course of written report there's yet the challenge of remembering the to a greater extent than formal descriptions that they volition remove to purpose inwards their GCSE examination (for event they are required to purpose the term 'corresponding angle' inwards their answers, instead of F-angle).  I advise that they think of 'FC' (football lodge - equally inwards Tottenham Hotspur FC) for F angles = corresponding angles.  I likewise advise they could retrieve that Z angles = alternate angles yesteryear thinking of the showtime too final letters of the alphabet. But this doesn't operate if I alter Z to N!  I'll bring to think of something else (or fifty-fifty better, learn them to come upwardly up amongst something).

Resources
There are loads of skillful resources for pedagogy this topic. Here are a few examples:
There are loads to a greater extent than resources for this theme inwards my shape resources library. 

More Angle Facts
On a related note, here's only about tips for pedagogy to a greater extent than basic angle facts:

Of course of written report there's yet the challenge of remembering the to a greater extent than formal descriptions that they volition remove to purpose inwards their GCSE examination (for event they are required to purpose the term 'corresponding angle' inwards their answers, instead of F-angle).  I advise that they think of 'FC' (football lodge - equally inwards Tottenham Hotspur FC) for F angles = corresponding angles.  I likewise advise they could retrieve that Z angles = alternate angles yesteryear thinking of the showtime too final letters of the alphabet. But this doesn't operate if I alter Z to N!  I'll bring to think of something else (or fifty-fifty better, learn them to come upwardly up amongst something).

Resources
There are loads of skillful resources for pedagogy this topic. Here are a few examples:
There are loads to a greater extent than resources for this theme inwards my mathsisfun.com has a yoke to a greater extent than ideas - I similar their proposition that the C of the give-and-take complementary stands for 'corner' (ie a correct angle) too the southward inwards supplementary stands for 'straight' (ie 180 degrees on a at nowadays line).
Interestingly, the give-and-take complementary comes from Latin completum (meaning completed) because the correct angle is sentiment of equally a consummate angle.



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Coded Averages

Teaching coding inwards Statistics 1 is a flake of a pain.  My pupils simply don't similar it, as well as it's difficult for me to learn enthusiastic nearly something that didn't actually be when I studied Statistics (perhaps because it's non alone necessary?). When I was revising this topic alongside my Year 12s this year, I used a actually uncomplicated real-life example:

Imagine I'm queuing upwardly to purchase iv items of clothing, which cost £29.95, £49.95, £59.95 as well as £99.95. To transcend fourth dimension I hit upwardly one's require heed to operate out the hateful toll of these 4 items. To brand the numbers easier to bargain with, I add together 5p to each total as well as so dissever past times 10, giving me £3, £5, £6 as well as £10. It's real tardily to operate out the hateful of these 'coded' prices inwards my caput - it's £6. And at in 1 trial I tin uncode that hateful past times multiplying past times 10 so subtracting 5p (the inverse of the master coding).  That speedily gives me the actual hateful toll of the clothes, which is £59.95.  

Resources
Here's a few resources I've constitute for didactics this topic:
There's a express alternative hither so mayhap I should write something myself - I'll add together it to my list!


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Surds

Surds - what a fabulous topic to teach! I dear the abundance of resources available as well as I’ve listed but about of my favourites below.

Two things I e'er produce when didactics surds:
  • Pupils listing the source twelve foursquare numbers inwards their books for reference throughout the lesson. They demand to readily recognise foursquare numbers inwards social club to simplify surds as well as hence the to a greater extent than they exercise listing them, the better.
  • When manipulating expressions containing surds (eg expanding brackets) I brand comparisons to what they already know virtually algebra. For event √2 as well as √3 tin hold upwards sentiment of inwards the same means as x as well as y (ie non ‘like terms’) whereas 2√3 as well as 5√3 tin hold upwards sentiment of inwards the same means as 2x as well as 5x (ie nosotros tin add together them to learn 7√3).

The NCETM suggests a yoke of prissy ‘hooks’ for getting started didactics surds:
  • Ask pupils to uncovering a means of drawing a occupation alongside a length of just √5 units (the hypotenuse of a correct angled triangle alongside sides 2cm as well as 1cm) 
  • Ask pupils to separate the length of an A4 slice of newspaper yesteryear its width. Repeat for A3 as well as A5. What produce they notice? (The answer is e'er √2)
This blog post has some to a greater extent than ideas for introducing the concept of surds. And I similar this on the history of surds.

Resources
Here’s but about groovy didactics resources (there's hundreds to a greater extent than online). Most of these travel as good at GCSE as well as Influenza A virus subtype H5N1 level:

For a lovely laid of surds problems, come across my Problem Sets page.

Finally, if you're looking for something actually creative, cheque out this Wheel of Theodorus Art Project.



Edit 29/12/14: Thanks to @runningtstitch for suggesting an option method for simplifying surds:



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Linear Simultaneous Equations

Solving linear simultaneous equations is rather satisfying. In this postal service I advise approximately techniques too resources for pedagogy this topic.

Equality too Lincoln
When I saw the cinema Lincoln I was struck yesteryear Abraham Lincoln’s reference to Euclid’s First Axiom ‘Things which are equal to the same matter are also equal to ane another’. Influenza A virus subtype H5N1 well-made betoken inward a give-and-take nearly racial equality, but also an interesting claw into a method for solving simultaneous equations such as
y = 4x + 6
y = 2x + 3
Both 4x + six too 2x + three are equal to y, thus logically nosotros convey 4x + six = 2x + three (this is essentially merely a exchange method). Why non present this this blog gives a adept explanation of Lincoln's point)

Elimination too 'SSS'
When solving simultaneous equations yesteryear elimination, my pupils abide by it really slow to recall the ‘SSS’ dominion ie ‘Same Sign Subtract’. For example, inward the equations 3x + 5y = 59; 2x + 5y = 56, this dominion says that because the 5y inward each equation is positive (‘same sign’), we subtract one equation from the other.

However, I noticed that when solving simultaneous equations such every minute -3x + 5y = 41; 2x + 5y = 56, approximately pupils saw that the -3x too the 2x were different signs too incorrectly decided that this meant they should add the 2 equations. So it’s worth clarifying which signs nosotros are referring to inward the ‘Same Sign Subtract’/’Different Sign Add’ approach.

Graphical Solutions
It’s then of import for pupils sympathise that whenever they solve linear simultaneous equations, they are inward fact finding the betoken of intersection of 2 direct lines. It’s essential to position a query involving parallel lines (eg solve 3x + 4y = 10; 6x + 8y = 15) too perish them thinking nearly why at that spot are no solutions.  I similar to present them this cute picture too.

Wordy Equations
This is ane of my favourite simultaneous equation questions: “A zoo has several ostriches too several giraffes. In full they convey xxx eyes too 44 legs. How many ostriches too how many giraffes are inward the zoo?”. Make certain you lot discourage pupils from using the missive of the alphabet O for ostrich, because it looks similar a zero.

Resources
There's lots of resources online – here’s a few I’ve picked out:

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Trial Too Improvement

In this post service I desire to address a mutual misconception that comes upwards when instruction lawsuit together with improvement. Here's an example which illustrates the problem:

These trials country us that the solution is betwixt 2.1 together with 2.2. The query requires an response to 1 decimal place, then our concluding solution volition live either 2.1 or 2.2.

At this betoken it looks similar our solution volition live 2.1, because x = 2.1 gives us the closest response to five. But this is a cubic function, non a linear function, then this is an incorrect supposition (and a mutual misconception alongside students).

We must forthwith cheque the midpoint of 2.1 together with 2.2:
Let’s depict our lastly 3 trials on a pose out line:

We tin flame encounter that the solution must prevarication betwixt 2.15 together with 2.2.  All values betwixt 2.15 together with 2.2 circular to 2.2, thus our concluding response must live 2.2. 

You tin flame encounter hither that it was absolutely necessary to cheque x = 2.15. And non only because you'd lose a score inwards a GCSE for failing to cheque it! You could plot the function, every bit shown below (use Desmos - it's fantastic!) together with zoom inwards on the solution to attention your pupils empathise this point.


I got this example from this spider web log post.

Resources
While I'm on the dependent area of lawsuit together with improvement, let's receive got a quick await at a few instruction resources:



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A Degree Revision

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.


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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. :)

Source: @mathequalslove


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Similarity

I saw this neat monster GCSE interrogation on Twitter (thanks @ReviseJustMaths) - it inspired me to write a postal service virtually similarity!
Taken from Edexcel Higher Paper 1 Nov 2013

In this postal service I'll focus on resources too methods for didactics similar triangles.

Two triangles are similar if they're 'equiangular' (a chip of a mouthful hence I learn 'AAA' instead). GCSE questions oft require us to kickoff jibe upward equal angles earlier nosotros start calculating unknown sides using ratio/proportional methods.  This 'matching up' usually involves using angle rules - encounter my postal service on FUN angles. The primal betoken to emphasise inward didactics is that it genuinely really helps to depict the 2 triangles separately, too inward the same orientation. Here's 3 examples to illustrate this:

Example 1 - Separate Triangles
Example 1 is straightforward - it's clear to encounter from the angle labels that the 8cm side inward the kickoff triangle is proportional to the side labelled ten inward the minute triangle.  I'd withal encourage my pupils to redraw the 2 triangles inward the same orientation though.
Example 2 - Joined Triangles
Example 2 is less obvious.  My pupils oft brand the error of thinking that side BC is proportional to side CE.  I learn them to label all equal angles inward the diagram, too hence depict triangles ABC too EDC separately. They'd too hence encounter that because <ABC = <CDE (alternate angles) too <ACB = <ECD (vertically reverse angles), the side BC is genuinely proportional to the side CD. 



Example 3 - Combined Triangles

In Example 3 we tin dismiss locomote the same approach equally inward Example 2. Label all the equal angles inward the diagram ie <ABD = <ECD (corresponding angles), too hence depict the triangles ABD too ECD separately. In this interrogation it's probable we'll live on asked to piece of occupation out the length BC, which simply requires a chip of thinking (ie calculate the length BD first, too hence subtract the length CD).  




Resources

For resources for surface area too mass of similar figures, encounter my resource library.



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Skewness

Let’s beak S1, equally this year’s examine is fast approaching.

I don’t similar the way my S1 textbook deals alongside skewness. It basically only sets out methods for identifying skewness without actually explaining what it is. In this post service I hash out an choice approach.

I unremarkably operate this starter inquiry inwards my commencement S1 lesson of the year:

The quest existence that when in that place are outliers inwards a information set, the hateful becomes rather useless (unless of course of report you lot want to deceive people!).
Whilst instruction S1 I oft detect myself referring dorsum to my Bibonacci starter (‘remember that CEO? He ruined the mean!’). So I decided to brand a worksheet out of it - run across below - which I used for the commencement fourth dimension this twelvemonth when instruction skewness (if you lot similar this thence delight endure out me a review on TES!). My pupils enjoyed the action in addition to it generated interesting discussions.
There is a similar action here - from the website Illustrative Mathematics.

The fundamental instruction quest is that when information is skewed, the median is to a greater extent than meaningful than the mean. We bring diverse methods for identifying skewness inwards a information laid upwardly (summarised inwards these slides – sorry, master copy source unknown) - nosotros unremarkably reckon the shape of a frequency diagram or box plot. Sometimes skewness is apparent only from looking at the raw information (this sideways stem-and-leaf diagram is interesting). 


Pupils necessitate to retrieve that positive skew agency nosotros bring a few 'sparse' information points (possibly outliers) at the top end of the information laid upwardly – in addition to similar inwards the Bibonacci example, this volition pull the hateful up. This volition help them conceptually sympathise the diverse methods described inwards the textbook.

Finally, here's a keen fob that I learnt from my colleague Lizzie... Imagine a cute puppy sitting on the left of the graph. Influenza A virus subtype H5N1 positive skew is going to run across the puppy (positive = yay, a puppy!) in addition to a negative skew is going away from the puppy (negative = acquire away from this puppy!). It's a giddy but uncomplicated in addition to memorable way of ensuring that students don't acquire the graphs mixed up.





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Binary

Maths didactics is ofttimes rushed. We encompass topics likewise quickly, nosotros show regularly, nosotros repeat the same affair every year. By Year 10 our pupils are bored. It's too then unnecessary too frustrating. If entirely nosotros spent to a greater extent than fourth dimension on rich Mathematics. I'd dearest to tiresome down, learn off on tangents, allow my pupils investigate too discover... The entirely fourth dimension I learn the run a endangerment to digress from the Scheme of Work is at the goal of the summertime term.  So I seize the chance to engage my pupils inwards interesting concepts too ideas - similar the binary system.

It's slow to learn pupils interested inwards this topic. Here's to a greater extent than or less suggestions:
  • Show them a painting present of a binary watch. I i time knew a Year thirteen who genuinely wore i of these to schoolhouse every day! My pupils were intrigued past times this too wanted to know how to read it.
  • You could Pb into this theme through other reveal systems (Roman Numerals etc).
  • Perform this fantastic binary magic trick.  My pupils loved it! They were desperate to know how it worked.
  • Tell them the joke "There are entirely 10 types of people inwards the world: those who sympathise binary too those who don't". 
Here's a few examples of resources y'all could operate inwards a binary lesson:
    Last twelvemonth I went to a fantastic lecture past times Simon Singh (@SLSingh) well-nigh Maths inwards the Simpsons.  His book 'The Simpsons too their Mathematical Secrets' is absolutely brilliant, a must-read for all Maths teachers.  Singh writes well-nigh a scene inwards the Futurama episode 'The Honking' inwards which Bender is alarmed when he reads the binary code 0101100101. When read inwards a mirror, the code reads '666'.  I told my Year 13s well-nigh this - they loved it. I wanted to present them the clip from Futurama simply all I constitute was this YouTube video in Castilian (?) which they sentiment was hilarious. I also explained the reference to the 'Redrum' scene inwards The Shining - most of them had never seen the celluloid too then I showed them this clip too managed to terrify one-half the class! Myself included. :)




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    Venn Activities

    This post service is nigh using Venn Diagrams equally a didactics tool, rather than didactics the concept of Venn Diagrams themselves.  To quote the splendid Johnny Griffiths, 'The Venn Diagram amongst iii bubbles is the maths teacher's friend! ... To move able to fill upward inward an eight-region diagram shows a actually deep agreement of the distinctions that a practiced pupil has to move able to make, spell the weaker pupil finds beingness faced amongst a moving-picture exhibit such equally this much less threatening than a page of exercises'.

    Before nosotros foremost using Venn activities inward Maths lessons, let's mean value nigh whether pupils are familiar amongst how Venn Diagrams work. I acknowledge to beingness a flake clueless nigh just what children written report at master copy school. The primary here), only I straight off prefer the simpler method described in linear equations activity. It helped consolidate their noesis of linear graphs in addition to allowed me to banking concern check their understanding.
  • Johnny Griffith's splendid RISPs (Rich Starting Points for H5N1 Level Core Mathematics) includes the Venn activities Risp 10 (coordinate geometry) in addition to Risp 4 (periodic functions).  In the instructor notes for Risp 10 Johnny shares his views on the usefulness of Venns.
  • A Venn action for Solving Quadratics past times Factorising past times aka nka on TES. 
  • A GCSE extension action on quadratic graphs from MEI.
  • I haven't tried this all the same only Don Steward also gives us this lovely here), only I straight off prefer the simpler method described in number activity.

    •  Interactive Venns
    Venns piece of occupation good on the Interactive Whiteboard - here's roughly examples.

    Other Uses
    • When I innovate complex numbers inward FP1 nosotros create a Venn Diagram during degree news nigh types of numbers (real, rational, integers etc) in addition to their Greek symbol notation.  The NCETM has a similar Venn action inward this resource sheet.
    • Up until lately I used Venn Diagrams to learn Highest Common Factor in addition to Lowest Common Multiple (method explained here), only I straight off prefer the simpler method described in this post.
    • Quadrilaterals tin move classified using a Venn Diagram similar this one.  We tin in addition to hence answer questions such as 'Is every foursquare a rectangle? Is every rhomb a square?' A 'family tree' also plant well.

    In determination - Venns are everywhere! But inward secondary Maths they are alone formally taught to those studying iGCSE (set theory) in addition to Statistics 1 at H5N1 flat (probability). I'm pleased to run across that Venn Diagram methods inward probability are on the new Maths GCSE Syllabus so volition move to a greater extent than widely studied inward future. But inward add-on to beingness taught equally a topic inward their ain right, Venn Diagrams are a versatile didactics tool amongst numerous applications inward the classroom. And they bring the added bonus of beingness created past times a British Mathematican! Well done Mr Venn.



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    Teaching Amongst Desmos

    I discovered Desmos terminal yr through @ColleenYoung's fantastic weblog Mathematics, Learning in addition to Web 2.0. It chop-chop became my favourite slice of 'teachnology'. Before Desmos I occasionally used Omnigraph or Autograph, but I at nowadays utilization Desmos regularly because it's but so tardily to use. It actually couldn't travel simpler. As it's web-based, I encourage my pupils (particularly at Influenza A virus subtype H5N1 level) to utilization Desmos at domicile to back upward their studies, for trial to depository fiscal establishment gibe graph sketches.

    Desmos on the Interactive Whiteboard
    When instruction exponential functions to Year 12, I used Desmos on my IWB to present the graphs of functions such every bit y = 2x in addition to y = 3x. We discussed our expectations for graphs such every bit y = 2-x in addition to used Desmos to check.  When nosotros plotted y = (-2)x nosotros got an interesting trial - which had me stumped for a infinitesimal - tin you lot explicate it?


    Desmos is specially helpful for demonstrating concepts inwards Further Maths (such every bit the directrix in addition to focus of a parabola) - there's unopen to expert examples in this blog.

    Desmos inwards the information technology Room
    My schoolhouse doesn’t ain tablets in addition to information technology rooms are rarely available, in addition to hence my pupils don't oftentimes acquire the conduct a opportunity to utilization applied scientific discipline during their Maths lessons. But I was in addition to hence non bad to part Desmos alongside my Year ix class, I made a big endeavor to acquire organised. I produced this worksheet for them to utilization inwards an information technology room, alongside the aim of introducing dissimilar types of graph (quadratic, cubic, reciprocal) in addition to uncomplicated transformations. After a real brusk demonstration of Desmos, the degree spent ii whole lessons working independently. I was pleased alongside their progress in addition to I promise that they'll hollo upward Desmos in addition to proceed to utilization it every bit a learning tool both at domicile in addition to at school.

    I loaded my worksheet onto TES today - along alongside a graph transformation activity that I utilization at Key Stage iv - in addition to it got me thinking well-nigh whether whatsoever other resources are available for instruction alongside Desmos.  I establish a few examples on TES, such as Investigating at in i trial lines alongside Desmos past times Tristan Jones and Using Desmos to learn Coordinate Geometry (KS3) past times phildate. I facial expression that the make of instruction resources available volition grow every bit increasing numbers of teachers respect in addition to encompass this fantastic tool.  




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    Area In Addition To Volume

    Every maths region should ain a giant lawn tennis ball! Walk into the classroom alongside a large fluorescent ball nether your arm in addition to you've at in i lawsuit got the attending of the class.

    Students stand upwards inwards a circle in addition to are told they're entirely allowed to speak if they're belongings the ball. Ask "how could nosotros function out the surface surface area of this ball?" in addition to throw it to a random student. Students throw the ball around the circle equally they portion their thoughts in addition to propose ideas. At some signal a instructor prompt may last necessary, along the lines of, "why did I select a lawn tennis ball? Why non a football game or netball or golf game ball?". In my sense this prompt may atomic number 82 some students to 'eureka' moments equally they starting fourth dimension thinking almost the markings on the surface of the lawn tennis ball. Eventually mortal volition topographic point that the surface is made upwards of iv circles wrapped around each other, in addition to they tin so deduce that the formula for the surface surface area is 4πr2. If they demand convincing, demonstrate them this slide.


    This is a rattling engaging activity. As pupils can't speak unless they're belongings the ball, you'll run across them wildly waving their arms about, silently begging their friends to exceed them the ball so they tin portion their ideas!

    Try it - I'd dear to listen how it goes.

    Area in addition to majority is a broad ranging topic, from areas of triangles inwards Year seven to volumes of hemispheres in addition to frustums inwards Year 11. Here's a handful of my favourite resources:
    For related degree intelligence - why produce nosotros nation hemisphere but semicircle? Why non semisphere or hemicircle? I believe it's because the intelligence circle is from the Latin intelligence circus (meaning ring), thus nosotros purpose the Latin prefix semi, whereas sphere is from the Greek intelligence sphaira (ball), thus nosotros purpose the Greek prefix hemi. This article almost semi/hemi/demi gives to a greater extent than examples. If y'all similar this so y'all powerfulness also similar these lovely maths vocabulary activities.

    Finally, here's i for the teachers. It's non equally obvious equally it seems!








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    Maths Vocabulary

    I found Cav's blog shipping 'Vocabulary together with maths are non mutually exclusive' actually interesting together with it got me thinking nearly activities together with didactics techniques related to maths vocabulary.

    Influenza A virus subtype H5N1 didactics tool that tin move endure used regularly throughout the twelvemonth is a source).



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    Edit: 11/11/15

    Since writing this shipping final twelvemonth I've seen lots of groovy resources for developing vocabulary. I specially similar the Literacy Assessments featured inward vocabulary noesis survey. When you lot outset didactics a topic, do a listing of the novel words that volition endure used together with inquire students to consummate a nautical chart showing their agreement of those words.  Repeat the activeness afterward to run across the improvement inward agreement - I've non tried this myself however but I intend it would generate merely about useful questions equally good equally boosting pupil confidence.

    In my shipping on source).



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    Edit: 11/11/15

    Since writing this shipping final twelvemonth I've seen lots of groovy resources for developing vocabulary. I specially similar the Literacy Assessments featured inward Area together with Volume I suggested these maths vocabulary exercises which brand for prissy 'end of term' lessons.  Here's an trial of an activeness from this pack:



    Here's merely about to a greater extent than links that you lot mightiness honor useful:

    I was latterly talking to a highly intelligent together with articulate Year xiii pupil who said that she hated it when her instructor asked her to 'speak maths'. I asked her to elaborate. She said that when questioning the class, the instructor expected answers that used appropriate maths vocabulary - together with fifty-fifty this pupil (who'll endure off to Oxbridge inward September) flora this daunting.  We demand to address this trial from a immature age.  One tip is to ever require pupils to reply questions inward total sentences instead of merely numbers or words - from mind schoolhouse onwards. Influenza A virus subtype H5N1 rattling unproblematic trial - inward response to the enquiry 'what do nosotros telephone outcry upwardly a polygon amongst 8 sides?', don't bring the reply 'octagon' - inquire for a total judgement such equally 'An 8-sided polygon is called an octagon' to larn pupils used to 'speaking maths' from an early on historic menses (source).



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    Edit: 11/11/15

    Since writing this shipping final twelvemonth I've seen lots of groovy resources for developing vocabulary. I specially similar the Literacy Assessments featured inward Gems 43. I also flora the source).



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    Edit: 11/11/15

    Since writing this shipping final twelvemonth I've seen lots of groovy resources for developing vocabulary. I specially similar the Literacy Assessments featured inward activity below worked good amongst my Year 7s.

    Here's my direct to literacy inward maths lessons:






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