5 Maths Gems #75

Welcome to my 75^th gems post. This is where I part some of the latest news, ideas together with resources for maths teachers.

1. New Displays
I of late updated my Maths Word of the Week display from @missradders.

2. Algebra Maze
Last calendar month I joined the MA together with received an exciting package total of publications. This included an edition of Mathematics inward School in which I spotted this algebraic expressions maze from MEI.

The MEI wrote xi consecutive articles for Mathematics inward School together with are presently to start upward again. You tin access all xi of these MEI Insights here - thank yous to @MEImaths for sharing these.

3. New Influenza A virus subtype H5N1 marking Resources
I similar a shot convey a page of resources for novel Influenza A virus subtype H5N1 marking topics. It's much similar my new GCSE back upward page, simply I'm even together with hence hunting for resources.

Thankfully a few novel Influenza A virus subtype H5N1 marking resources convey been published recently:

• Jamie Frost (@DrFrostMaths) has started to part his novel A marking PowerPoints (these accompany the Pearson textbook). On his new Influenza A virus subtype H5N1 marking page, Jamie has too shared his fantabulous conduct to the Classwiz calculator, his school's novel Influenza A virus subtype H5N1 marking scheme of work, together with a compilation of STEP/AEA/MAT questions yesteryear topic.
• Jack Brown (@TLMaths) has shared around 300 videos for students for the novel Influenza A virus subtype H5N1 level. 
• Dr Madas has started adding new specification IYGB papers to his bright collection.
• MEI convey shared some samples of the resources from their novel schemes of work. 

4. Sector Area

In my postal service 'Maths Word of the Week display from @missradders.

2. Algebra Maze
Last calendar month I joined the MA together with received an exciting package total of publications. This included an edition of Mathematics inward School in which I spotted this algebraic expressions maze from MEI.

The MEI wrote xi consecutive articles for Mathematics inward School together with are presently to start upward again. You tin access all xi of these MEI Insights here - thank yous to @MEImaths for sharing these.

3. New Influenza A virus subtype H5N1 marking Resources
I similar a shot convey a Polygraph Rocks' I wrote almost the wonderful Desmos classroom activities. There's similar a shot a huge collection of activities on Desmos - they're definitely worth exploring. These lessons are actually slowly to run together with operate good if yous convey access to a decent information technology room or if your students convey tablets or laptops inward the classroom. I spotted 'Sector Area' on Twitter of late together with actually similar the agency it's designed. It's a proportional reasoning activeness inward which students explore the human relationship betwixt circle area, sector area, together with sector angle.

5. xaktly
I institute the website xaktly.com by Dr Jeff Cruzan (@DrCruzan) which is similar an online textbook for maths, physics, chemistry together with biology. The maths section contains really clear explanations together with some helpful graphics on misconceptions, definitions together with methods.

The page on the metric system is a practiced instance - Dr Cruzan's method for unit of measurement conversions is interesting together with worth a look.

There's lots of Influenza A virus subtype H5N1 marking content, including a page on optimisation with really useful instance problems. 

Update
In instance yous missed them, hither are my latest posts:

• Maths Word of the Week display from @missradders.
  
  
  2. Algebra Maze
  Last calendar month I joined the MA together with received an exciting package total of publications. This included an edition of Mathematics inward School in which I spotted this algebraic expressions maze from MEI.
  
  
  The MEI wrote xi consecutive articles for Mathematics inward School together with are presently to start upward again. You tin access all xi of these MEI Insights here - thank yous to @MEImaths for sharing these.
  
  3. New Influenza A virus subtype H5N1 marking Resources
  I similar a shot convey a Bridging the Gap... Revisited
• Maths Word of the Week display from @missradders.
  
  
  2. Algebra Maze
  Last calendar month I joined the MA together with received an exciting package total of publications. This included an edition of Mathematics inward School in which I spotted this algebraic expressions maze from MEI.
  
  
  The MEI wrote xi consecutive articles for Mathematics inward School together with are presently to start upward again. You tin access all xi of these MEI Insights here - thank yous to @MEImaths for sharing these.
  
  3. New Influenza A virus subtype H5N1 marking Resources
  I similar a shot convey a What did I miss?
• Maths Word of the Week display from @missradders.
  
  
  2. Algebra Maze
  Last calendar month I joined the MA together with received an exciting package total of publications. This included an edition of Mathematics inward School in which I spotted this algebraic expressions maze from MEI.
  
  
  The MEI wrote xi consecutive articles for Mathematics inward School together with are presently to start upward again. You tin access all xi of these MEI Insights here - thank yous to @MEImaths for sharing these.
  
  3. New Influenza A virus subtype H5N1 marking Resources
  I similar a shot convey a Strength inward Numbers
• Maths Word of the Week display from @missradders.
  
  
  2. Algebra Maze
  Last calendar month I joined the MA together with received an exciting package total of publications. This included an edition of Mathematics inward School in which I spotted this algebraic expressions maze from MEI.
  
  
  The MEI wrote xi consecutive articles for Mathematics inward School together with are presently to start upward again. You tin access all xi of these MEI Insights here - thank yous to @MEImaths for sharing these.
  
  3. New Influenza A virus subtype H5N1 marking Resources
  I similar a shot convey a The Folder Experiment... Revisited

I too published a list of maths teaching conferences for 2017/18 together with my instance written report was featured on mtpt.org.uk.

My Summaths upshot is inward 3 weeks together with similar a shot I've seen the programme of workshops I'm fifty-fifty to a greater extent than excited. I'm too actually pleased that I've had some generous donations of freebies to manus out on the day. There are even together with hence a few tickets left together with booking closes on 14th August.

Do depository fiscal establishment jibe out Maths Word of the Week display from @missradders.

2. Algebra Maze
Last calendar month I joined the MA together with received an exciting package total of publications. This included an edition of Mathematics inward School in which I spotted this algebraic expressions maze from MEI.

The MEI wrote xi consecutive articles for Mathematics inward School together with are presently to start upward again. You tin access all xi of these MEI Insights here - thank yous to @MEImaths for sharing these.

3. New Influenza A virus subtype H5N1 marking Resources
I similar a shot convey a list showing where to purchase the cheapest calculators this summer.

In instance yous missed it, I'll exit yous amongst this wonderful news about the success of the UK of Britain together with Northern Republic of Ireland squad at this year's International Maths Olympiad inward Rio. The UK of Britain together with Northern Republic of Ireland finished inward 9th place, out of 111 participating countries, together with hold upward yesteryear of all European nations for the kickoff fourth dimension ever.

The UK of Britain together with Northern Republic of Ireland is hosting the International Maths Olympiad inward 2019. Incidentally, Dr Geoff Smith's 'Advice to Young Mathematicians' is worth reading.

New Gcse: Capture-Recapture

If your schoolhouse plans to work Edexcel for GCSE from 2017 in addition to then you lot may get got spotted the capture-recapture method inwards the Higher Tier specification:

Source: Edexcel GCSE (9 - 1) Mathematics Teaching Guidance

Here's the sampling content inwards to a greater extent than detail:

Source: Edexcel Content Exemplification FAQs

It's worth noting that both Edexcel in addition to AQA listing stratified sampling equally a topic that has been removed from GCSE. However, this comes alongside a caveat - both sampling in addition to proportional reasoning create characteristic inwards the ix - 1 GCSE, hence it would live on reasonable for exams to include a stratified sampling inquiry fifty-fifty if students haven't been explicitly taught this topic (as long equally the inquiry doesn't work the give-and-take 'stratified' without explaining its meaning). So my advice - whatever board you're using - is to await at a few stratified sampling questions alongside your GCSE class, whether inwards a statistics lesson or a ratio in addition to proportion lesson.

Stratified sampling is a groovy chance to work proportional reasoning, equally is the capture-recapture method. If you've taught Edexcel's GCSE Statistics in addition to then you'll already live on familiar alongside capture-recapture, but I'll explicate it hither inwards instance you've non seen it before.

A elementary example
Try this question... it volition alone get got you lot a second.

I captured 50 fish from a lake. I marked a big cross on the dorsum of each fish alongside a permanent marker*... 

I seat the marked fish dorsum inwards the lake in addition to they happily swam away to bring together their friends. 

The adjacent twenty-four hr catamenia I captured 20 fish from the same lake. 10 of them had a cross on their back. 

Can you lot gauge the total population of fish inwards the lake?

*no fish were hurt, promise.

I'm sure you lot spotted that the proportion of marked fish inwards the minute sample was 0.5, in addition to nosotros tin assume the same proportion of marked fish inwards the whole population. Given that I marked 50 fish, nosotros tin gauge that at that topographic point are 100 fish inwards the lake.

A formula
If the numbers are less straightforward hence the estimation can't live on done mentally, it's slowly to laid a formula to operate out the population. This is sure non a formula that students volition quest to memorise - it tin live on deduced using proportional reasoning.

You tin come across that the formula on the left merely shows that proportion of marked fish inwards the population is equal to the proportion of marked fish inwards the sample. The formula on the correct has been rearranged to brand due north the subject.

Here's an illustration from the Biology department of BBC Bitesize. It would live on improve if they had shown the proportional reasoning in addition to rearrangement procedure rather than exactly give a terminal formula.

Source: BBC Bitesize

The illustration goes on to listing closed to assumptions - these are sure worth discussing alongside your students.

• There is no death, immigration or emigration (ie the population is closed)
• The sampling methods used are identical
• The marking has non affected the survival charge per unit of measurement of the animals 

We besides assume that animals create non lose their marks, that marking does non touching the likelihood of recapture, in addition to that sufficient fourth dimension is left betwixt marking in addition to recapture for all marked individuals to live on randomly dispersed throughout the population.

An bear witness question

So what mightiness this topic await similar inwards a GCSE exam? Here's a question from Edexcel's 2014 Higher GCSE Statistics paper.

A scientist wants to gauge the let on of fish inwards a disused canal. He catches a sample of thirty fish from the canal. He marks each fish alongside a dye in addition to and then puts them dorsum inwards the canal. The adjacent twenty-four hr catamenia the scientist catches 20 fish from the canal. He finds that 4 of them are marked alongside the dye. 

(a) Estimate the total let on of fish inwards the canal. (2)
(b) Write downwards whatsoever assumptions you lot made. (2)

For purpose b, candidates get got to squall 2 ideas, including something almost the population beingness unchanged, or the thought of randonmess, or that markings stay unchanged.

For to a greater extent than bear witness questions, see Edexcel's Emporium in addition to await under GCSE 1MA1 Practice Papers > Themed Papers.

Teaching ideas

I squall back this volition live on quite a overnice topic to teach. Here are a few useful links:

• Capture-Recapture handout in addition to slides - MathsPad
• Capture in addition to Recapture - nrich
• Capture-Recapture Slides - pbrucemaths on TES
• A Lesson: The Capture-Recapture method - MathsMuggle
• Capture-Recapture lesson in addition to resources - NCTM
• 'Something Fishy' project - PBS
• Capture Recapture: degree experiment (page 1 & 2) in addition to exercise worksheet (page three in addition to 4) - Mario Martinez, Cerritos College
• data resources library for listings.

5 Maths Gems #75

Welcome to my 75^th gems post. This is where I part some of the latest news, ideas together with resources for maths teachers.

1. New Displays
I of late updated my Maths Word of the Week display from @missradders.

2. Algebra Maze
Last calendar month I joined the MA together with received an exciting package total of publications. This included an edition of Mathematics inward School in which I spotted this algebraic expressions maze from MEI.

The MEI wrote xi consecutive articles for Mathematics inward School together with are presently to start upward again. You tin access all xi of these MEI Insights here - thank yous to @MEImaths for sharing these.

3. New Influenza A virus subtype H5N1 marking Resources
I similar a shot convey a page of resources for novel Influenza A virus subtype H5N1 marking topics. It's much similar my new GCSE back upward page, simply I'm even together with hence hunting for resources.

Thankfully a few novel Influenza A virus subtype H5N1 marking resources convey been published recently:

• Jamie Frost (@DrFrostMaths) has started to part his novel A marking PowerPoints (these accompany the Pearson textbook). On his new Influenza A virus subtype H5N1 marking page, Jamie has too shared his fantabulous conduct to the Classwiz calculator, his school's novel Influenza A virus subtype H5N1 marking scheme of work, together with a compilation of STEP/AEA/MAT questions yesteryear topic.
• Jack Brown (@TLMaths) has shared around 300 videos for students for the novel Influenza A virus subtype H5N1 level. 
• Dr Madas has started adding new specification IYGB papers to his bright collection.
• MEI convey shared some samples of the resources from their novel schemes of work. 

4. Sector Area

In my postal service 'Maths Word of the Week display from @missradders.

2. Algebra Maze
Last calendar month I joined the MA together with received an exciting package total of publications. This included an edition of Mathematics inward School in which I spotted this algebraic expressions maze from MEI.

The MEI wrote xi consecutive articles for Mathematics inward School together with are presently to start upward again. You tin access all xi of these MEI Insights here - thank yous to @MEImaths for sharing these.

3. New Influenza A virus subtype H5N1 marking Resources
I similar a shot convey a Polygraph Rocks' I wrote almost the wonderful Desmos classroom activities. There's similar a shot a huge collection of activities on Desmos - they're definitely worth exploring. These lessons are actually slowly to run together with operate good if yous convey access to a decent information technology room or if your students convey tablets or laptops inward the classroom. I spotted 'Sector Area' on Twitter of late together with actually similar the agency it's designed. It's a proportional reasoning activeness inward which students explore the human relationship betwixt circle area, sector area, together with sector angle.

5. xaktly
I institute the website xaktly.com by Dr Jeff Cruzan (@DrCruzan) which is similar an online textbook for maths, physics, chemistry together with biology. The maths section contains really clear explanations together with some helpful graphics on misconceptions, definitions together with methods.

The page on the metric system is a practiced instance - Dr Cruzan's method for unit of measurement conversions is interesting together with worth a look.

There's lots of Influenza A virus subtype H5N1 marking content, including a page on optimisation with really useful instance problems. 

Update
In instance yous missed them, hither are my latest posts:

• Maths Word of the Week display from @missradders.
  
  
  2. Algebra Maze
  Last calendar month I joined the MA together with received an exciting package total of publications. This included an edition of Mathematics inward School in which I spotted this algebraic expressions maze from MEI.
  
  
  The MEI wrote xi consecutive articles for Mathematics inward School together with are presently to start upward again. You tin access all xi of these MEI Insights here - thank yous to @MEImaths for sharing these.
  
  3. New Influenza A virus subtype H5N1 marking Resources
  I similar a shot convey a Bridging the Gap... Revisited
• Maths Word of the Week display from @missradders.
  
  
  2. Algebra Maze
  Last calendar month I joined the MA together with received an exciting package total of publications. This included an edition of Mathematics inward School in which I spotted this algebraic expressions maze from MEI.
  
  
  The MEI wrote xi consecutive articles for Mathematics inward School together with are presently to start upward again. You tin access all xi of these MEI Insights here - thank yous to @MEImaths for sharing these.
  
  3. New Influenza A virus subtype H5N1 marking Resources
  I similar a shot convey a What did I miss?
• Maths Word of the Week display from @missradders.
  
  
  2. Algebra Maze
  Last calendar month I joined the MA together with received an exciting package total of publications. This included an edition of Mathematics inward School in which I spotted this algebraic expressions maze from MEI.
  
  
  The MEI wrote xi consecutive articles for Mathematics inward School together with are presently to start upward again. You tin access all xi of these MEI Insights here - thank yous to @MEImaths for sharing these.
  
  3. New Influenza A virus subtype H5N1 marking Resources
  I similar a shot convey a Strength inward Numbers
• Maths Word of the Week display from @missradders.
  
  
  2. Algebra Maze
  Last calendar month I joined the MA together with received an exciting package total of publications. This included an edition of Mathematics inward School in which I spotted this algebraic expressions maze from MEI.
  
  
  The MEI wrote xi consecutive articles for Mathematics inward School together with are presently to start upward again. You tin access all xi of these MEI Insights here - thank yous to @MEImaths for sharing these.
  
  3. New Influenza A virus subtype H5N1 marking Resources
  I similar a shot convey a The Folder Experiment... Revisited

I too published a list of maths teaching conferences for 2017/18 together with my instance written report was featured on mtpt.org.uk.

My Summaths upshot is inward 3 weeks together with similar a shot I've seen the programme of workshops I'm fifty-fifty to a greater extent than excited. I'm too actually pleased that I've had some generous donations of freebies to manus out on the day. There are even together with hence a few tickets left together with booking closes on 14th August.

Do depository fiscal establishment jibe out Maths Word of the Week display from @missradders.

2. Algebra Maze
Last calendar month I joined the MA together with received an exciting package total of publications. This included an edition of Mathematics inward School in which I spotted this algebraic expressions maze from MEI.

The MEI wrote xi consecutive articles for Mathematics inward School together with are presently to start upward again. You tin access all xi of these MEI Insights here - thank yous to @MEImaths for sharing these.

3. New Influenza A virus subtype H5N1 marking Resources
I similar a shot convey a list showing where to purchase the cheapest calculators this summer.

In instance yous missed it, I'll exit yous amongst this wonderful news about the success of the UK of Britain together with Northern Republic of Ireland squad at this year's International Maths Olympiad inward Rio. The UK of Britain together with Northern Republic of Ireland finished inward 9th place, out of 111 participating countries, together with hold upward yesteryear of all European nations for the kickoff fourth dimension ever.

The UK of Britain together with Northern Republic of Ireland is hosting the International Maths Olympiad inward 2019. Incidentally, Dr Geoff Smith's 'Advice to Young Mathematicians' is worth reading.

5 Maths Gems #75

Welcome to my 75^th gems post. This is where I part some of the latest news, ideas together with resources for maths teachers.

1. New Displays
I of late updated my Maths Word of the Week display from @missradders.

2. Algebra Maze
Last calendar month I joined the MA together with received an exciting package total of publications. This included an edition of Mathematics inward School in which I spotted this algebraic expressions maze from MEI.

The MEI wrote xi consecutive articles for Mathematics inward School together with are presently to start upward again. You tin access all xi of these MEI Insights here - thank yous to @MEImaths for sharing these.

3. New Influenza A virus subtype H5N1 marking Resources
I similar a shot convey a page of resources for novel Influenza A virus subtype H5N1 marking topics. It's much similar my new GCSE back upward page, simply I'm even together with hence hunting for resources.

Thankfully a few novel Influenza A virus subtype H5N1 marking resources convey been published recently:

• Jamie Frost (@DrFrostMaths) has started to part his novel A marking PowerPoints (these accompany the Pearson textbook). On his new Influenza A virus subtype H5N1 marking page, Jamie has too shared his fantabulous conduct to the Classwiz calculator, his school's novel Influenza A virus subtype H5N1 marking scheme of work, together with a compilation of STEP/AEA/MAT questions yesteryear topic.
• Jack Brown (@TLMaths) has shared around 300 videos for students for the novel Influenza A virus subtype H5N1 level. 
• Dr Madas has started adding new specification IYGB papers to his bright collection.
• MEI convey shared some samples of the resources from their novel schemes of work. 

4. Sector Area

In my postal service 'Maths Word of the Week display from @missradders.

2. Algebra Maze
Last calendar month I joined the MA together with received an exciting package total of publications. This included an edition of Mathematics inward School in which I spotted this algebraic expressions maze from MEI.

The MEI wrote xi consecutive articles for Mathematics inward School together with are presently to start upward again. You tin access all xi of these MEI Insights here - thank yous to @MEImaths for sharing these.

3. New Influenza A virus subtype H5N1 marking Resources
I similar a shot convey a Polygraph Rocks' I wrote almost the wonderful Desmos classroom activities. There's similar a shot a huge collection of activities on Desmos - they're definitely worth exploring. These lessons are actually slowly to run together with operate good if yous convey access to a decent information technology room or if your students convey tablets or laptops inward the classroom. I spotted 'Sector Area' on Twitter of late together with actually similar the agency it's designed. It's a proportional reasoning activeness inward which students explore the human relationship betwixt circle area, sector area, together with sector angle.

5. xaktly
I institute the website xaktly.com by Dr Jeff Cruzan (@DrCruzan) which is similar an online textbook for maths, physics, chemistry together with biology. The maths section contains really clear explanations together with some helpful graphics on misconceptions, definitions together with methods.

The page on the metric system is a practiced instance - Dr Cruzan's method for unit of measurement conversions is interesting together with worth a look.

There's lots of Influenza A virus subtype H5N1 marking content, including a page on optimisation with really useful instance problems. 

Update
In instance yous missed them, hither are my latest posts:

• Maths Word of the Week display from @missradders.
  
  
  2. Algebra Maze
  Last calendar month I joined the MA together with received an exciting package total of publications. This included an edition of Mathematics inward School in which I spotted this algebraic expressions maze from MEI.
  
  
  The MEI wrote xi consecutive articles for Mathematics inward School together with are presently to start upward again. You tin access all xi of these MEI Insights here - thank yous to @MEImaths for sharing these.
  
  3. New Influenza A virus subtype H5N1 marking Resources
  I similar a shot convey a Bridging the Gap... Revisited
• Maths Word of the Week display from @missradders.
  
  
  2. Algebra Maze
  Last calendar month I joined the MA together with received an exciting package total of publications. This included an edition of Mathematics inward School in which I spotted this algebraic expressions maze from MEI.
  
  
  The MEI wrote xi consecutive articles for Mathematics inward School together with are presently to start upward again. You tin access all xi of these MEI Insights here - thank yous to @MEImaths for sharing these.
  
  3. New Influenza A virus subtype H5N1 marking Resources
  I similar a shot convey a What did I miss?
• Maths Word of the Week display from @missradders.
  
  
  2. Algebra Maze
  Last calendar month I joined the MA together with received an exciting package total of publications. This included an edition of Mathematics inward School in which I spotted this algebraic expressions maze from MEI.
  
  
  The MEI wrote xi consecutive articles for Mathematics inward School together with are presently to start upward again. You tin access all xi of these MEI Insights here - thank yous to @MEImaths for sharing these.
  
  3. New Influenza A virus subtype H5N1 marking Resources
  I similar a shot convey a Strength inward Numbers
• Maths Word of the Week display from @missradders.
  
  
  2. Algebra Maze
  Last calendar month I joined the MA together with received an exciting package total of publications. This included an edition of Mathematics inward School in which I spotted this algebraic expressions maze from MEI.
  
  
  The MEI wrote xi consecutive articles for Mathematics inward School together with are presently to start upward again. You tin access all xi of these MEI Insights here - thank yous to @MEImaths for sharing these.
  
  3. New Influenza A virus subtype H5N1 marking Resources
  I similar a shot convey a The Folder Experiment... Revisited

I too published a list of maths teaching conferences for 2017/18 together with my instance written report was featured on mtpt.org.uk.

My Summaths upshot is inward 3 weeks together with similar a shot I've seen the programme of workshops I'm fifty-fifty to a greater extent than excited. I'm too actually pleased that I've had some generous donations of freebies to manus out on the day. There are even together with hence a few tickets left together with booking closes on 14th August.

Do depository fiscal establishment jibe out Maths Word of the Week display from @missradders.

2. Algebra Maze
Last calendar month I joined the MA together with received an exciting package total of publications. This included an edition of Mathematics inward School in which I spotted this algebraic expressions maze from MEI.

The MEI wrote xi consecutive articles for Mathematics inward School together with are presently to start upward again. You tin access all xi of these MEI Insights here - thank yous to @MEImaths for sharing these.

3. New Influenza A virus subtype H5N1 marking Resources
I similar a shot convey a list showing where to purchase the cheapest calculators this summer.

In instance yous missed it, I'll exit yous amongst this wonderful news about the success of the UK of Britain together with Northern Republic of Ireland squad at this year's International Maths Olympiad inward Rio. The UK of Britain together with Northern Republic of Ireland finished inward 9th place, out of 111 participating countries, together with hold upward yesteryear of all European nations for the kickoff fourth dimension ever.

The UK of Britain together with Northern Republic of Ireland is hosting the International Maths Olympiad inward 2019. Incidentally, Dr Geoff Smith's 'Advice to Young Mathematicians' is worth reading.