Learn Math So Easy: Indices

Showing posts with label Indices. Show all posts

Tuesday, April 7, 2020

5 Maths Gems #8

I enjoyed coming together many of yous at La Salle Education's National Mathematics Teacher Conference yesterday. It was a fantastic chance for sharing ideas. But 500 maths teachers out of 350,000 is a drib inward the ocean. It's such a shame that thence many schools weren't represented.

Although at that spot are some pockets of collaboration throughout the UK, for event through regional TeachMeets, the fact is that the bulk of U.K. maths teachers alive inward a bubble. Through no error of their own, they know really niggling almost approaches taken inward other schools - including pedagogy, curriculum pattern together with novel technologies. Twitter is purpose of the solution, but it doesn't acquire inward enough.

this post, "in high performing countries teachers pass 30% of their fourth dimension teaching, alongside the residual spent planning, preparing together with assessing every bit good every bit working on improving their practice. Compared to the UK, where it’s 90%".

This weekend, 500 maths teachers gave upward a precious Sabbatum to larn from each other. I'm really grateful to La Salle Education for providing that opportunity. To me it farther highlighted the quest for cross-school subject-specific collaboration during term-time. Instead of spending our Inset days hearing almost our schools' latest mark policies, nosotros should all live on out having mini-conferences of our own. Let's promise that when our novel Maths Hubs acquire dorsum from their trips to Shanghai, improving collaboration is spill out of their listing of priorities - together with yesteryear that I hateful collaboration alongside all schools, non simply the schools alongside tweeting teachers or a proactive Head of Maths.

Now for my weekly maths gems. For those who receive got simply started reading my blog, this is where I part 5 non bad ideas that I've seen on Twitter each week. If yous desire to read whatsoever of my previous gems posts, they're all here.

1. Paint! And my ideal classroom

smartwallpaint.com

I was talking to a friend almost the 'Vertical Non-Permanent Surfaces', magic whiteboards together with acrylic sheets I featured inward this post, "in high performing countries teachers pass 30% of their fourth dimension teaching, alongside the residual spent planning, preparing together with assessing every bit good every bit working on improving their practice. Compared to the UK, where it’s 90%".

This weekend, 500 maths teachers gave upward a precious Sabbatum to larn from each other. I'm really grateful to La Salle Education for providing that opportunity. To me it farther highlighted the quest for cross-school subject-specific collaboration during term-time. Instead of spending our Inset days hearing almost our schools' latest mark policies, nosotros should all live on out having mini-conferences of our own. Let's promise that when our novel Maths Hubs acquire dorsum from their trips to Shanghai, improving collaboration is spill out of their listing of priorities - together with yesteryear that I hateful collaboration alongside all schools, non simply the schools alongside tweeting teachers or a proactive Head of Maths.

Now for my weekly maths gems. For those who receive got simply started reading my blog, this is where I part 5 non bad ideas that I've seen on Twitter each week. If yous desire to read whatsoever of my previous gems posts, they're all my final gems post and he told me almost something wonderful. He plant inward a novel schoolhouse where all the classroom walls are painted alongside whiteboard paint. So he has no whiteboards inward his room (other than the interactive board), but he - together with his students - tin write on whatsoever wall.

This got me thinking almost my ideal classroom. I'd receive got all the walls painted alongside whiteboard pigment (student operate would live on proudly displayed inward the corridors instead of inward the classroom). I similar the thought of students sitting inward a horseshoe when I teach, similar inward the motion-picture demo below. I intend this would halt low-level disruption together with would encourage meliorate course of written report discussion. They could also do independent practise inward these chairs.

hyperspacellc.com

Separate to this horseshoe I'd receive got a collaboration area, alongside grouping tables that tin live on written on (whiteboard pigment plant on desks too!), or this post, "in high performing countries teachers pass 30% of their fourth dimension teaching, alongside the residual spent planning, preparing together with assessing every bit good every bit working on improving their practice. Compared to the UK, where it’s 90%".

This weekend, 500 maths teachers gave upward a precious Sabbatum to larn from each other. I'm really grateful to La Salle Education for providing that opportunity. To me it farther highlighted the quest for cross-school subject-specific collaboration during term-time. Instead of spending our Inset days hearing almost our schools' latest mark policies, nosotros should all live on out having mini-conferences of our own. Let's promise that when our novel Maths Hubs acquire dorsum from their trips to Shanghai, improving collaboration is spill out of their listing of priorities - together with yesteryear that I hateful collaboration alongside all schools, non simply the schools alongside tweeting teachers or a proactive Head of Maths.

Now for my weekly maths gems. For those who receive got simply started reading my blog, this is where I part 5 non bad ideas that I've seen on Twitter each week. If yous desire to read whatsoever of my previous gems posts, they're all acrylic sheets.

The rooms I currently learn inward are every bit good minor for me to easily accomplish every pupil piece they're working, thence fifty-fifty simply a niggling to a greater extent than infinite would operate wonders.

2. Indices
If you're looking for a novel approach to teaching index laws, yous mightiness taste 'this post, "in high performing countries teachers pass 30% of their fourth dimension teaching, alongside the residual spent planning, preparing together with assessing every bit good every bit working on improving their practice. Compared to the UK, where it’s 90%".

This weekend, 500 maths teachers gave upward a precious Sabbatum to larn from each other. I'm really grateful to La Salle Education for providing that opportunity. To me it farther highlighted the quest for cross-school subject-specific collaboration during term-time. Instead of spending our Inset days hearing almost our schools' latest mark policies, nosotros should all live on out having mini-conferences of our own. Let's promise that when our novel Maths Hubs acquire dorsum from their trips to Shanghai, improving collaboration is spill out of their listing of priorities - together with yesteryear that I hateful collaboration alongside all schools, non simply the schools alongside tweeting teachers or a proactive Head of Maths.

Now for my weekly maths gems. For those who receive got simply started reading my blog, this is where I part 5 non bad ideas that I've seen on Twitter each week. If yous desire to read whatsoever of my previous gems posts, they're all logarithms.

Once you've taught indices, endeavor my index laws homework together with fractional/negative indices homework.

3. ThingLink
this post, "in high performing countries teachers pass 30% of their fourth dimension teaching, alongside the residual spent planning, preparing together with assessing every bit good every bit working on improving their practice. Compared to the UK, where it’s 90%".

This weekend, 500 maths teachers gave upward a precious Sabbatum to larn from each other. I'm really grateful to La Salle Education for providing that opportunity. To me it farther highlighted the quest for cross-school subject-specific collaboration during term-time. Instead of spending our Inset days hearing almost our schools' latest mark policies, nosotros should all live on out having mini-conferences of our own. Let's promise that when our novel Maths Hubs acquire dorsum from their trips to Shanghai, improving collaboration is spill out of their listing of priorities - together with yesteryear that I hateful collaboration alongside all schools, non simply the schools alongside tweeting teachers or a proactive Head of Maths.

Now for my weekly maths gems. For those who receive got simply started reading my blog, this is where I part 5 non bad ideas that I've seen on Twitter each week. If yous desire to read whatsoever of my previous gems posts, they're all Mathematical Concepts Wall' yesteryear this post, "in high performing countries teachers pass 30% of their fourth dimension teaching, alongside the residual spent planning, preparing together with assessing every bit good every bit working on improving their practice. Compared to the UK, where it’s 90%".

This weekend, 500 maths teachers gave upward a precious Sabbatum to larn from each other. I'm really grateful to La Salle Education for providing that opportunity. To me it farther highlighted the quest for cross-school subject-specific collaboration during term-time. Instead of spending our Inset days hearing almost our schools' latest mark policies, nosotros should all live on out having mini-conferences of our own. Let's promise that when our novel Maths Hubs acquire dorsum from their trips to Shanghai, improving collaboration is spill out of their listing of priorities - together with yesteryear that I hateful collaboration alongside all schools, non simply the schools alongside tweeting teachers or a proactive Head of Maths.

Now for my weekly maths gems. For those who receive got simply started reading my blog, this is where I part 5 non bad ideas that I've seen on Twitter each week. If yous desire to read whatsoever of my previous gems posts, they're all Samuel S. Wilks said,"Statistical thinking volition ane twenty-four hr menstruation live on every bit necessary for efficient citizenship every bit the powerfulness to read together with write!" (he was paraphrasing HG Wells). Although through our curriculum nosotros learn students how to do together with translate a diverseness of graphs, I'm non convinced that 'the full general public' are able to brand feel of many of the graphs they see inward the media. I intend it's worth spending some fourth dimension looking at both misleading graphs together with interesting graphs.

Ridiculously misleading graph

Interesting graphs promote non bad discussions. Give your students some fourth dimension to expect at the graph, operate out what it shows together with and thence intend almost the underlying trends or causes. Here's a distich to acquire yous started.

Source: 'How nosotros believe' yesteryear Micheal Shermer

Source: ONS

The 2nd graph is from '8 Facts almost Young People' yesteryear the ONS, shared this calendar week by @statshan.

Speaking of interesting graphs that spark discussion, yous must read this post, "in high performing countries teachers pass 30% of their fourth dimension teaching, alongside the residual spent planning, preparing together with assessing every bit good every bit working on improving their practice. Compared to the UK, where it’s 90%".

This weekend, 500 maths teachers gave upward a precious Sabbatum to larn from each other. I'm really grateful to La Salle Education for providing that opportunity. To me it farther highlighted the quest for cross-school subject-specific collaboration during term-time. Instead of spending our Inset days hearing almost our schools' latest mark policies, nosotros should all live on out having mini-conferences of our own. Let's promise that when our novel Maths Hubs acquire dorsum from their trips to Shanghai, improving collaboration is spill out of their listing of priorities - together with yesteryear that I hateful collaboration alongside all schools, non simply the schools alongside tweeting teachers or a proactive Head of Maths.

Now for my weekly maths gems. For those who receive got simply started reading my blog, this is where I part 5 non bad ideas that I've seen on Twitter each week. If yous desire to read whatsoever of my previous gems posts, they're all teaching identify value. I honey posts alongside lots of ideas together with resources recommendations for a specific topic - they're really useful for lesson planning (I've written a few topic specific posts too).

Second, I desire to elevate this post, "in high performing countries teachers pass 30% of their fourth dimension teaching, alongside the residual spent planning, preparing together with assessing every bit good every bit working on improving their practice. Compared to the UK, where it’s 90%".

This weekend, 500 maths teachers gave upward a precious Sabbatum to larn from each other. I'm really grateful to La Salle Education for providing that opportunity. To me it farther highlighted the quest for cross-school subject-specific collaboration during term-time. Instead of spending our Inset days hearing almost our schools' latest mark policies, nosotros should all live on out having mini-conferences of our own. Let's promise that when our novel Maths Hubs acquire dorsum from their trips to Shanghai, improving collaboration is spill out of their listing of priorities - together with yesteryear that I hateful collaboration alongside all schools, non simply the schools alongside tweeting teachers or a proactive Head of Maths.

Now for my weekly maths gems. For those who receive got simply started reading my blog, this is where I part 5 non bad ideas that I've seen on Twitter each week. If yous desire to read whatsoever of my previous gems posts, they're all revision races. This is ane of those posts that non alone provides a fantastic resources but also clearly explains how to utilisation it effectively.

Finally, I desire to recommend @fmaths42's post service almost times tables starters which provides a railroad train of progressively challenging practise grids, addition a proposition to impress these grids onto stickers. Times tables are rather helpful so I'd urge yous to ignore Jo Boaler's advice almost non ensuring that children larn their times tables - sure she must receive got said that inward a 2nd of madness. Read @websofsubstance's post service The Educators - Jo Boaler for some interesting (in my see - really sensible) views on this.

Finally, receive got a acquire at this query from Tony Gardiner's session at yesterday's conference, shared yesteryear @mrsdenyer. I'll live on using this every bit a quick starter alongside both Year eleven together with Year 12.

PS - I'm off to Center Parcs tomorrow (term-time holidays are a huge wages of beingness on motherhood leave!) thence at that spot won't live on a gems post service side yesteryear side Saturday. I'll live on dorsum the next calendar week though.

Sunday, January 26, 2020

5 Maths Gems #16

It's December! Time for students as well as teachers to outset getting overly excited almost the upcoming Christmas holidays. There's even thus 3 to a greater extent than weeks of teaching to larn through though, as well as most schools do mock GCSEs inward Dec or January, thus things are every bit busy every bit ever. Let's expect at roughly of the ideas that receive got been shared on Twitter this week. I've got lots of dainty geometry for you lot today.

1. Frozen Fractals

I'm non a fan of Disney princess films, merely I receive got daughters at nowadays thus I've been forced to scout Frozen many many times. I genuinely quite similar it. Being a mathematician, my favourite business office is when Elsa sings almost 'frozen fractals' inward the vocal Let it Go. I had no persuasion what the give-and-take fractal meant until a few years agone thus it seems strange to listen it inward a children's film. It got me thinking - is at that spot whatever value inward teaching our students almost fractals at secondary school? I remember at that spot is.

What are Fractals as well as why should I care? by George Dallas. This is an incredibly clear as well as accessible article. The best agency to sympathize fractals is to push clit i - the article describes how to push clit a Von Koch curve.

Give your students roughly dotted or triangle graph newspaper as well as they could follow the instructions inward this worksheet to push clit a 'Koch snowflake'. While they're creating their fractals, exhibit them this lovely microscopic timelapse video of existent snowflakes (thanks to @misseyfs for sharing this).

Because I'm writing this post on 1st Dec I'm thinking of Christmassy snowflakes, merely nosotros tin expect at other fractals too. The Sierpinski Triangle is also a dainty introduction to agreement fractals. The awesome website fractalfoundation.org has an fantabulous worksheet (a 'fractivity') in which each of your students brand their ain Sierpinski Triangle - they as well as thus stick them together to brand a 'class fractal'. Show the video on the page Fractal Trianglethon to wow your students alongside giant Sierpinski Triangles!

Alternatively your students could create Fractal Cutouts like the i pictured below.

And this Mathematical Christmas Tree is every bit fractally every bit they come.

If you lot desire to farther explore fractals, your students mightiness survive interested inward this Numberphile video 'Measuring Coastline'.

Whether you lot brand snowflakes, triangles or cutouts, the betoken is that students come upwardly away from the lesson agreement what a fractal is. It may non survive on the syllabus merely it's interesting mathematics nonetheless. And your students volition survive able to say their friends that they sympathize the mathematical reference inward Frozen.

2. Angles
I dearest this angles interrogation from @j_lanier. I'd travel it inward a GCSE revision lesson. Students receive got to apply a number of rules to honor all 4 angles - it's a expert chance for them to practise articulating their reasoning.

3. Pythagorean Triples
I was looking at recent posts on my favourite blog, the ever-brilliant Median past times Don Steward, when I noticed a link to a weblog I'd non seen earlier - Pythagorean Triple Tasks past times Hannah Jones. There's roughly lovely activities here.

By the way, speaking of Don Steward, did you lot know he also has a blog for do resources? These are every bit good designed every bit his rich tasks. There's loads of expert questions for GCSE revision, which you lot mightiness honor useful this calendar week if your Year 11s receive got mocks coming up. I especially similar these grids of 'practice makes perfect' questions. Also, I spotted this fantastic work inward his A & A* questions - a lovely starter for my Year 12s:

4. Semi-circle

Did you lot run across Ed Southall's awesome semi-circle problem? I'd travel this every bit an extension action inward a Pythagoras lesson, merely there's loads of methods for solving it - others receive got used similar triangles, trigonometry as well as coordinate grids. It's both accessible as well as challenging for students from Key Stage 3 upwardly to H5N1 level.

5. Christmassy Maths
I started to write a seasonal maths resources page merely lots of other lovely bloggers receive got done something similar. So rather than reinvent the wheel, I'll betoken you lot inward the direction of:

@missradder's post Christmaths
@Ms_Kmp's post ChrisMaths Cheer
@solvemymaths' post 2014 Christmas Maths Lessons

There are hundreds of fantabulous Christmas-themed maths resources. I'd similar to recommend a few inward add-on to those inward the posts above. There are 2 from Teachit Maths that I especially similar - the 12 days of Christmas budget activity which involves work solving using percentages, as well as Mistletoe as well as Lines which is expert do of at nowadays business graphs. I also similar these resources from Oxford University Press. Most Christmas resources are aimed at Key Stage 3 students, merely your Year 11s mightiness similar this Christmas Shading Graphical Inequalities by frickard on TES. And how almost this lovely Christmas tree logic problem?

Logic work from ageofpuzzles.com

That's it for this week. Please don't forget to conk on tweeting or emailing me photos of misconceptions or mutual mistakes inward your students' work. Thanks!

5 Maths Gems #17

Ho-ho-hello together with welcome to my seventeenth weekly gems post. This is where I circular upwards some of the best maths didactics ideas I’ve seen on Twitter. I’ve got some crackers for you lot today.

1. Balancing

Do you lot retrieve inward Gems 13 when I featured the vivid balancing problems from Don Steward? My readers loved them! Well this calendar week Damian Watson (@dwatson802) shared the visual algebra puzzle website SolveMe Mobiles which has similar problems for purpose on an interactive whiteboard, tablet or computer. The website, from the Education Development Center, allows users to both create together with solve mobiles. The website says that 'the logic of these puzzles is the same every bit the logic behind the solving of equations together with systems of equations, exactly the visual format makes these puzzles, together with the logic they develop, accessible together with appealing...'.

And there's already been some skilful feedback on Twitter:

2. Blanks

Sarah Aldous (@mathsfeedback) shared a prissy sentiment for didactics logs that could last used for a publish of topics. The sentiment is that you lot position questions upwards around the room together with students reply on a post-it, exactly their reply must differ from the answers already given.

Here's my examples of similar questions for fractions:

together with indices:

You learn the idea. Students brand suggestions for the blanks together with inward doing hence they demonstrate their agreement of the topic. Plus, they receive got to intend creatively if their sentiment has already been taken.

3. Dictionary
Steven W. Anderson (maths lexicon for kids. This lexicon from Jenny Eather is actually lovely - it's the best maths lexicon I've seen for students. Definitions come upwards alongside examples together with interactivity. Here's the definition of the intelligence following (check out the website yourself to play alongside the interactive features).

And here's the definition of sector. Again, it's interactive.

And here's 2 to a greater extent than examples - palindromic together with perpendicular.

4. Simultaneous Equations

I honey this Linear Simultaneous Equations.

5. Whiteboards (again!)

I've written well-nigh vertical whiteboards together with acrylic sheets earlier (see Gems 7) - I honey these ideas together with promise that 1 twenty-four hr current I receive got the budget to practice both. Andrew Stadel (blog post this calendar week well-nigh his sense of using large whiteboards - it's good worth a read. One sentiment is 'Placemat':

If students are working on a chore together, they operate individually on split sections of a large whiteboard, hence purpose the centre to tape their terminal answer. This approach helps students compare their operate together with back upwards each other. It's likewise a skilful means for the instructor to assess private agreement together with depository fiscal establishment lucifer that everyone is contributing to grouping discussion.

Another sentiment is Brain Dump:

Here nosotros receive got an picture inward the middle together with students write downward everything they know well-nigh it inward their private sections, earlier they compare together with hash out their answers.

And nosotros receive got Number Talks:

In this instance a publish is written inward the middle together with students operate inward their private sections to write downward every bit many ways they tin compass the sack intend of to brand that number.

Do read Andrew's postal service for the total details together with links to lots to a greater extent than ideas. If your division doesn't receive got the budget to purchase large whiteboards or acrylic sheets hence you lot could purpose flipchart newspaper for these activities. Whiteboards are much amend though, because of the power of the eraser ('because the markings tin compass the sack last easily erased, students are at nowadays inclined to write without hesitation') - you lot tin compass the sack read well-nigh this inward the fantabulous post Whiteboards vs. Chart Paper by Thomas Ro (@MrT_Ro).

That's it for this week. I'll exit you lot alongside a smashing work for your students from UKMT, shared past times Matt Smith (@mathsmatt). Find the angles inward the rhombus, assuming there's 1 equilateral together with 3 isosceles triangles.

Teaching Indices

Source: dotmaths.com

I've mentioned earlier that I dear educational activity indices, in addition to that's because a) there's loads of bright resources available b) the concepts are tardily to explicate c) there's some lovely extension problems in addition to d) this is of import mathematics! You can't produce calculus without agreement indices.

I know I tin displace programme a sequence of lessons on indices for whatever historic menstruum grouping (Year 8 correct through to Year 12) in addition to I'll live able to abide by skillful lineament engaging resources. Later inwards this shipping service I'll characteristic some of my favourites.

Concepts

The concepts relating to indices are relatively tardily to explicate from kickoff principles. The reasoning behind the index laws is straightforward. We tin displace encounter that b² x b⁵ = b⁷ precisely past times writing out the expressions inwards total (ie b x b x b x b x b x b x b). Students volition rapidly spot the patterns. The 'anything to the ability of null equals one' dominion is also fairly elementary to explicate using the logic shown below.

Negative powers tin displace live explained past times extending the partitioning police pull (ie what happens when nosotros split b² past times b⁷?), or past times considering patterns (see Gems 8 for to a greater extent than on this).

Fractional powers tin displace live explained using the multiplication law.

And thence it's precisely a instance of students remembering the laws in addition to practising them until they perish fluent. Mim Gosling (@mimgosling) created the painting demonstrate below to tending students recollect how fractional powers piece of occupation -"Fractional indices are similar a blossom - the bottom's the root, the top's the power!". So if you lot receive got a pupil who gets confused past times fractional indices, precisely remind them that the root is at the bottom (like inwards a tree).

Source: @StIvoMaths

A lesson on index laws

I taught an introductory lesson on index laws lately - I wrote these slides to construction the shape give-and-take in addition to activities. After nosotros established each index law, the shape did iii quick exercise questions earlier moving on to the side past times side law. Once we'd covered all iii laws, the students completed this 'Powers of y eliminator' from Teachit Maths, which was fantastic. It had precisely the correct combination of independent practice, stretch in addition to engagement. These were the questions that most students got stuck on:

I was quite proud of the slides I made for this lesson - there's an editable version here so experience gratis to borrow bits, though some formatting may live lost when you lot download it (the PDF version is much prettier!).

Card Sorts

It's a peachy thought to receive got a well-organised furnish of sorting activities (eg Tarsia puzzles) inwards your maths department. Find a clever agency to shop them (eg inwards stackable plastic takeaway boxes) in addition to label the boxes clearly. It takes a flake of fourth dimension to educate the carte du jour sorts. If you've got the budget, it's e'er best to learn them laminated. Print each assail a dissimilar colouring cloth (eg if at that topographic point are 10 groups inwards the class, impress the carte du jour sets on 10 dissimilar colours) - this stops the sets getting mixed up. Use skillful lineament elastic bands - inexpensive ones degrade rapidly - or proceed each laid inwards an envelope.

My subdivision has a collection of 56 carte du jour sorts educate for run inwards lessons (sadly, I spent many many hours sitting at the guillotine during my summertime holidays!). We telephone outcry upwards them our 'Black Box Resources' because nosotros proceed them inwards dark CD boxes from Ikea. Two of my favourite carte du jour sorts are for indices. The first is Indices Dominoes by Teachit Maths - a truly prissy activity, alongside the added bonus that the answer is written backwards thence students can't cheat past times guessing the words. I also like Using Indices from the Standards Unit. Card laid H5N1 (pairs activity) is truly useful when you've taught fractional in addition to negative indices.

You powerfulness also similar these treasure hunts: simple index laws and negative & fractional indices, both from Teachit Maths.

Worksheets
There's loads of peachy worksheets in addition to activities for independent practice. I've already mentioned the Powers of y eliminator from Teachit Maths. Here's ii to a greater extent than first-class resources that are suitable for practising the iii index laws:

Simplifying Indices Code Breaker - Teachit Maths
Collect a Joke - Number Loving

Once you've moved onto fractional in addition to negative indices, there's loads to a greater extent than first-class resources (these powerfulness live useful inwards Year 12 too):

Mental Powers Code Breaker -Teachit Maths
Ever wondered why? - JustMaths
Indices activity - SRWhitehouse on TES

STEM Centre provides some fantastic indices activities from Susan Wall. For example, I similar 'Why does?' (extract below) inwards which students are allocated a tilt to intend virtually in addition to explicate to the class.

Extract from 'Why does?' past times Susan Wall

There's also a truthful or faux activity which is designed to address mutual misconceptions.

Extract from 'True or False' past times Susan Wall

Blanks

I featured a 'blanks' business thought inwards Gems 17. Make upwards some questions similar those shown below in addition to seat them upwards to a greater extent than or less the room. Provide post-it notes thence students tin displace advise values that fit.

Homeworks
I've made ii Pret homeworks for this topic, both are available here.

Enrichment
There's loads of peachy extension questions for this topic. I dear these mega quadratic equations from Don Steward.

in addition to these mega difficult powers questions, also from Don Steward

And ii to a greater extent than fantastic rich tasks from Don Steward: Power Sums and Find the Power.

At H5N1 level, in addition to peradventure every bit extension inwards Year 11, I similar to produce some piece of occupation on comparison indices alongside dissimilar bases. For example, I similar this ordering starter.

And my worksheet exponential equations has been useful. It ends alongside this lovely question.

Finally, I desire to portion ii questions that I've been using for years alongside GCSE students, either when I learn indices or when I learn algebraic fractions. My students are e'er horrified past times how complex these questions look, but if they're confident alongside indices thence both equations are truly surprisingly tardily to solve. I'm non certain where these questions originated thence apologies to the creator for non giving credit.

That's it from me - if you lot know of whatever other fantastic indices resources, delight comment below or tweet me.

How v squared looks inwards nightmares.

Saturday, January 25, 2020

5 Maths Gems #30

Hi together with welcome to my 30^th gems post. This is where I percentage only about of the best teaching ideas I've seen on Twitter.

1. Construction Comics
Back inwards Gems 4 I featured Paul Collins' (comic resources for teaching constructions. In his post he suggests only about opportunities to role these resources inwards the classroom.

One of Paul Collins' structure comic strips

I haven't taught constructions this twelvemonth hence I've non nevertheless had a run a hazard to role these resources, or the awesome Gems 21).

I loved the operate shared yesteryear my namesake Mrs Morgan (@em0rgan) on Twitter this week. She asked her students to do their ain structure comic strips for homework. The results facial expression excellent. I'm non unremarkably a fan of homeworks similar this because they're hence fourth dimension consuming (both for students to gain together with teachers to mark) together with oft they don't add together much value. But inwards this instance I intend at that topographic point is value inwards students learning the procedures yesteryear documenting the steps, inwards improver to practising the constructions.

2. Influenza A virus subtype H5N1 Level Resources

Thanks to @OxfordEdMaths for sharing a gear upwards of excellent A degree assessments for C1 - C4, D1, D2, FP1, FP2, M1, M2, S1 together with S2. It tin endure difficult to honor sources of expert Influenza A virus subtype H5N1 degree questions. These gratis resources are going to endure incredibly helpful adjacent twelvemonth for theme assessments, homeworks or revision.

Speaking of Influenza A virus subtype H5N1 degree resources, do banking concern agree out the website 0a explains: Calculus (with pics together with gifs) -thanks to @mathhombre together with @solvemymaths for sharing this. I dear the pictures together with gifs on this website - they mightiness assistance teachers explicate concepts inwards calculus.

3. Homework Expectations
I've only discovered MathFour.com from Bon Crowder - it's total of creative ideas, only about of which I excogitation to characteristic inwards hereafter gems posts. One persuasion that I spotted was a 'How to Write Your Math Homework' guide. I'm going to brand a version of this for my novel classes inwards September. I can't complain nearly my students' operate non coming together my expectations if I haven't made those expectations clear from the outset.

4. Talk a Mile a Minute
Steve Wyborney (@SteveWyborney) shared his Talk a Mile a Minute Vocabulary Activity. The video below describes the activeness inwards detail. It involves students describing sets of words to their partner together with and hence discussing what those words relate to. I intend this would endure a cracking activeness for an terminate of twelvemonth lesson. Have a facial expression at Steve's post for resources. If you're looking for words for this activeness together with hence try this Vocabulary Checklist for Key Stage 3.

5. Activities

I've seen only about lovely activities together with questions on Twitter this week.

@MathedUp shared this 'Negative numbers code-breaker activeness amongst a twist'.

Gems 29.

@DJUdall shared this activeness which links solving equations amongst expanse together with perimeter.

@DJUdall likewise shared a query he made which combines Pythagoras' Theorem together with Standard Form.

The latter 2 resources were shared during concluding Sunday's #mathsTLP. This is a cracking identify for maths teachers to collaborate. Do bring together inwards on Sundays at 7pm to enquire for assistance amongst lessons or to offering ideas.

Update
Because my examination classes are directly on report acquire out I had fourth dimension to excogitation only about actually prissy lessons this week. With my Year 10s I did a lesson on similar triangles using resources from the Mathematics Assessment Project. They had to kind 8 pairs of triangles into 'similar', 'not similar' or 'can't tell', drawing on their cognition of angle facts. This project is a lot harder than it sounds together with takes nearly 45 minutes to complete. I actually recommend it - here's an instance of the operate they produced hence you lot tin see what it involves.

I talked to all my students nearly palindromic numbers this calendar week (I remembered to yell it every fourth dimension I wrote the appointment on the board, because the dates were palindromic when written inwards the format m/dd/yy). Although many of my students could plough over me an instance of a discussion that is the same frontward together with backward (eg racecar), most were non familiar amongst the discussion palindrome.

Those of you lot who role Gems 10) for formative assessment volition endure pleased to listen that you lot tin directly insert pictures. For instance you lot mightiness desire to insert questions from www.diagnosticquestions.com.

That's it from me for now, but at that topographic point volition endure only about other gems post presently because there's been loads of cracking materials on Twitter lately. Wish me luck amongst my concluding calendar week at my electrical flow school! My novel project starts afterward half-term.

I'll acquire out you lot amongst this GCSE resource by thornn on TES (shared by @eggarsmaths on Twitter) which you lot mightiness honor useful for concluding infinitesimal examination tips over the coming weeks.