Archive

Archive for the ‘Geometry & shapes’ Category

FREE Olympic GCSE Maths lesson – archery and circles

Actually it’s a Paralympic Maths lesson: teach area and circumference of circles in the context of Paralympic Archery. 

Bull’s eye! A KS4 Maths lesson taken from Cisco’s Out of the blocks – Maths and Science series 2012. Click to download (5MB, so be patient…)

Like what you see?  More lessons like this are freely available on ActiveTeach – no login required.

“Fork Handles” for a Functional Christmas! Free maths resources!

December 10, 2010 Leave a comment

In the spirit of the season, this Level 2 Functional Maths resource is free to download!

This is part of Longman’s new AQA Functional Mathematics resource for Level 1 and Level 2. If you’re not teaching Functional Maths as a separate qualification, the activities will work equally well to support AQA GCSE Maths 2010.

What’s involved?

  • Geometric shapes – recognise and use 2D representations of 3D objects
  • Starting up a new business
  • 4 candles

Christmas candles - click to download the PDF (2MB, so may be slow!)

And here are the Lesson Plan and Model Answers.

H A P P Y  C H R I S T M A S !

Sherlock Holmes GCSE Maths Challenge – episode 4 solution

November 16, 2010 Leave a comment

Many congratulations to the Episode 4 winners of our Sherlock Holmes maths competition:

Jonathon Cox at The Littlehampton Academy

for successfully working out where Holmes and Watson must go next.

And the answer is:

OXFORD CIRCUS.

We’ll be sending the winners a FREE Class set of Longman’s unique AQA A-A* and G-F Practice Books (15 copies of each) and a tin of Cadbury’s Heroes.

Coming up next… a spot of Christmas shopping in Episode 5 on Wednesday.

Here is the winning solution to episode 4:

The solution to how far away Moriarty is from the tunnel.

The path of the firework is y=300+44x-x^2. This is a quadratic so using the quadratic formula to find x when y=0

x= (-b +/- square root (b^2 – 4ac))/(2a)

where a=-1, b=44 and c=300

x = (-44 +/- square root (44^2 – 4X-1X300))/(2X-1)

x = (-44 +/- square root (1936 + 1200))/(-2)

x = (-44 +/- square root (3136))/(-2)

x = (-44 +/- 56)/(-2)

Either x = (-44 – 56)/(-2) = -100/-2 = +50 (where the tunnel is)

or x = (-44 + 56)/(-2) = 12/-2 = -6 (where Moriarty must have fired the firework from)

 So 50 – -6 = 56 metres away from the tunnel

 Moriarty is 56 metres away

 The Code.

 Using the Coordinates of the Tate Modern (34, 14) and the code FG DG.

Using a shifted substitution D=1, E=2, F=3 etc

The Coordinates generated from substitution of CK EE gives (08, 22) which give the coordinates for Oxford Circus

 Moriarty’s Target is Oxford Circus

EPISODE 4: Sherlock Holmes Maths Competition – FREE AO3 Maths challenge for 5th November

November 3, 2010 1 comment

SHERLOCK HOLMES AND THE MYSTERY OF THE DEVIL’S EYE

Episode 4 – “G U N P O W D E R ,  T R E A S O N   A N D   P L O T”

The story so far… Called to investigate the disappearance from Harrods of the world’s largest ruby, the Devil’s Eye, Holmes and Watson follow a trail from there to the London Eye.  Further clues at the London Eye lead them into a Halloween, midnight chase through the tunnels under the Thames.  Ably assisted by two Maths teachers from Gloucestershire College, they solve the probability clues and arrive at…  B O R O U G H   M A R K E T!

Emerging from the tunnels, Holmes and Watson finally catch a glimpse of the thief in EPISODE 4:

"So that's who the thief is!" Click to download PDF.

And here’s the accompanying worksheet:

Watson's Worksheet. Click to download PDF.

WHAT TO DO:

DOWNLOAD THE PDFs, SOLVE THE CLUES, AND SUBMIT YOUR ANSWERS TO: SherlockH_221B@yahoo.co.uk 

BY MONDAY 15th NOVEMBER.

The winning entry will be drawn at random from all correct answers, and will receive a FREE Class set of Longman’s unique AQA A-A* and G-F Practice Books (15 copies of each) and a tin of Cadbury’s Heroes. 

If you’re NEW to this competition…

View this page of our blog to keep up to date with all the action.  The competition is free to enter, and you can join in any Round/Episode.  All the page references in the Episode point to maths support in our AQA GCSE Middle sets Student Book.  All new and existing subscribers are entitled to receive a single free copy of this book – request your copy by leaving a comment on this post.

GOT ANY QUESTIONS?  Just leave a comment on this post and we’ll get straight back to you.

EPISODE 2: Sherlock Holmes Maths Competition – FREE AO3 resource to download

October 6, 2010 1 comment

SHERLOCK HOLMES AND THE MYSTERY OF THE DEVIL’S EYE

Episode 2 – “W H E E L   O F   F O R T U N E”

The story so far… Holmes and Watson have been called by a frantic Inspector Lestrade to investigate the disappearance from Harrods of the world’s largest ruby, the Devil’s Eye.  Solving the fiendish maths clues left behind in Episode 1 – and ably assisted by Class 10 Set 3 of SUTTON GRAMMAR SCHOOL in Surrey – they worked out which door the thief left by, and where he was heading next… to the L O N D O N   E Y E. 

Thinking a murder is about to be committed, they arrive breathless at the famous landmark:

Who's a dummy? Help Holmes and Watson solve the clues and work out where to go next. Click to download PDF.

And here’s the accompanying map and worksheet:

It's always the quiet ones... Hand round Watson's Worksheet to your class and see if they can solve the mathematical riddles. Click to download.

DOWNLOAD THE PDFs, SOLVE THE CLUES, AND SUBMIT YOUR ANSWERS TO: SherlockH_221B@yahoo.co.uk 

BY 5pm ON TUESDAY 12TH OCTOBER.

The winning entry will be drawn at random from all correct answers, and will receive a FREE Longman AQA Middle Sets ACTIVE-TEACH DVDour popular and highly rated resource for electronic whiteboards – and a tin of Cadbury’s Heroes. 

If you’re NEW to this competition…

The competition is free to enter, and you can join in any Round/Episode!  View this page of our blog to keep up to date with all the action, find out where Holmes has been so far, and read the rules.

GOT ANY QUESTIONS?  Just leave a comment on this post and we’ll get straight back to you.

Sherlock Holmes Episode 1 solution…

September 29, 2010 Leave a comment

Our thanks to everyone who’s taken part in Episode 1 of our Sherlock Holmes competition: The Mystery of the Devil’s Eye!

In Episode 1, Holmes and Watson are called to Harrods by a frantic Inspector Lestrade: the world’s largest Ruby, the Devil’s Eye, has been stolen and he doesn’t know where to go next.  There are just a few cryptic clues that only a master of deduction, and mathematics, could solve…

AND THE ANSWER IS…

Are Holmes and Watson being led around by the nose? Click to download updated map.

THE LONDON EYE! 

Our congratulations to this week’s winners: CLASS 10 Set 3 from Sutton Grammar School in Surrey.

Here’s their answer:

If you work out the volume of the ruby; (area of rectangle + area of trapezium) x length

((10 x 3.5) + (7 x 2.5)) x 11 = 577.5 cubic cm.

The Mass is density x volume;     so 4 x 577.5 = 2310 g

If we split the answer 2310 in to 2 parts we got the co-ordinate (23, 10)

This is THE LONDON EYE

{and the thief keeps talking about eyes at the start of the note}

[We also worked out the thief got through Door B;   if you draw the lasers as lines on the graph, all the doors are blocked except B]

We’ll be sending the winners a Sherlock Holmes DVD and a tin of Cadbury’s Heroes in the post! 

DON’T MISS OUT ON WHAT HAPPENS WHEN HOLMES AND WATSON ARRIVE AT THE LONDON EYE IN EPSIODE 2:

NEXT WEDNESDAY, 6TH OCTOBER

And remember, you can join this competition at any time.  There will be six Episodes in total, with a prize to the winner of each one.  You can keep up-to-date with all details of the competition on this page of our blog.

Episode 1: Sherlock Holmes Competition – FREE AO3 Maths resource to download

September 22, 2010 Leave a comment

Episode 1: “Smash ‘n’ Grab”

Solve the mathematical clues in this detective story with your students, and help Holmes and Watson to track down the thief of the World’s largest ruby!

This Autumn term, we’re running a fortnightly competition to give AQA GCSE Maths classes some FREE practice of AO2 and AO3 questions.  Each Episode is presented as a two-page entry from Holmes’ own case notes:

Episode 1: Help Holmes and Watson solve their first clues, and work out where they must go next. Click to download PDF.

And here’s the accompanying worksheet:

Watson's Worksheet. Click to download.

How the Competition Works:

1. Download the full Episode, and the Worksheet, by clicking on the 2 images above.  Print these out for your classroom, or project onto your whiteboard.  They contains the narrative of the story with Maths challenges, testing AO3 problem-solving skills. You may find it helpful to use the map of London, which we published in an earlier post.

2. The solution to the Maths challenges is the next location Holmes and Watson must go to.  Submit your solutions, together with an explanation, either by leaving a comment on this post or by sending an email to SherlockH_221B@yahoo.co.uk  Deadline: 5pm on Tuesday 28th September, 2010. 

3. You can send the solution on your own behalf, or on behalf of your GCSE Maths class.  If the latter, please specify the name of the class.  If you have more than one class, you can make more than one entry.

4. The winning solution will be chosen at random from all correct solutions, and published next Wednesday, 29th September.  We will send this prize to the winner: a DVD of the 2010 BBC Sherlock Holmes series and a tin of Cadbury’s Heroes!

5. There will be six episodes in total – teachers can join this competition at any stage.  There’s no need to register and you can send solutions for as many, or as few, of the Episodes as you want.  You can keep up-to-date with every Episode on this dedicated page of our blog.

Full terms and conditions of the competition can be accessed by clicking here

Final Tip: if you’re a Maths teacher and want to take part in this Competition, you’re strongly advised to subscribe to this blog (which, by the way, is cost-free and spam-free).  This means you’ll get all future Episodes emailed straight to your inbox as they’re published.  To subscribe, just enter your school email address in the box top right of your screen.

New subscribers also receive a FREE copy of our AQA GCSE Middle Sets Student Book: essential reading, especially as some of the clues in later Episodes will be hidden inside it…