Mrs Caven's Maths Blog

2011-12-17T22:59:00.000Z

We voted for you!

2011-12-17T22:58:00.000Z

The Maths of Life - great title for a series of clips!

2011-10-19T08:34:00.000+01:00

Always like to put this at the top of the blog about this time of year, wonder why?!

Virtual fireworks

Enjoy the fireworks without having to leave the comfort of your computer!

Click on the picture and keep clicking away with your mouse!

2011-08-10T21:43:00.002+01:00

So what's your favourite number?

Mine is the same as it's always been...... never did get round to changing it, but then if it's a favourite, why would I?

2011-08-10T21:43:00.000+01:00

So what's your favourite number?

Mine is the same as it's always been......

2011-08-05T21:39:00.001+01:00

This month's recommendation - Alex's Adventures in Numberland

2011-05-06T16:50:00.001+01:00

Listen to maths music here! And don't forget, if any of you lot think that you can do better, then why don't we have a go!

Let's start with 'That's Mathematics!' - it's true you can't do anything without it.

How about Mathematicious?

Youtube Mannel's Maths Music to get a full list of these great songs

NUMBER

Click on the picture below for the fantastic BODMAS song! - Actually don't, it's not there anymore. But a group of students have made a version of, so click here. Or try this rounding one instead!

Ever wondered how to turn percentages into a song?

You'll love this one about improper fractions, ok well I love it.

This isn't strictly music, but is an interesting take on improper fractions to mixed numbers

Whoever thought there'd be a song about equivalent fractions on youtube!

Fraction, decimal, % conversion set to music

New entry - Adding fractions

Another GREAT fractions song - love it!

Also on the theme of adding fractions we have this effort here Matha Mia Adding Fractions - not sure who the singer is but clearly very talented (?!)

For those that love fractions and raps, here's the dividing fractions rap

Play that funky number

Working with indices, another classic from learning upgrade

A couple of significant figures songs that show the cross-curricular link with sciences too!
Chemistry and oh, another chemistry one!

Root 3 is a surd

ALGEBRA

The 2-step equation song (maybe not that helpful but certainly an insight!)

Factorising single brackets - there's a song for everything if you look for it....

How many quadratic formula songs are there? Too many to mention, just have a look on youtube. I quite like this one. It sounds even better when younger children sing it! And who'd ever have thought of writing a song about the quadratic formula to the tune of Eastenders???

And then of course, for all you 'AS/A2' level students there is the brilliant 'I will derive'

mkyou2tube has some great songs!

Binomial theorem song

Indices song

Completing the square song

SHAPE AND SPACE
Unfortunately - the excellent songs from Mr Mannel are no longer available to view :-( Come back Mr Mannel - your's were simply the best!

ANGLES
In at number one it's the unbelievable angle dance

Erm, then there's the angles in parallel lines song

CIRCLES
My latest favourite - the pi song, you'll love it ;-) or if that link doesn't work then this one should.
Closely followed by the circle song - well national pi day is on it's way of course!

I'm thinking of submitting this circle one in this year's Eurovision song contest

Think my year 10s will love this one! Yet another circle song

Circle theorems song

TRIANGLES

Firstly we have the types of triangle song..

and then there's James Blunt of course!

Not sure I really like this one, but who knows, you may?

A nice Pythagoras' song to help you to remember

POLYGONS
How about this one then all about polygons - I don't think that squares are boring by the way
And a nice one with quadrilateral facts on it

I am a parallelogram - not to be missed

VOLUME
Not the most exciting song I've ever heard, but here it is nevertheless - the volume song

TRIGONOMETRY (deserves it's own section I feel)
The sine wave.....

Sine rule song

Trigonometry rap - needs no more explaining I feel

Here's an excellent one about trig ratios for those wanting to learn sin 30 etc

This one is actually pretty good - not sure about the spelling though! Trigonometry revision

HANDLING DATA

AVERAGES
And how about this mean, median and mode one?

Lily Allen does mean, median and mode - sort of!

Estimate the mean

2010-12-16T08:06:00.000Z

MERRY CHRISTMATHS!
Make your own music here.

2010-07-22T23:33:00.000+01:00

Never gonna give you up....

2010-02-06T21:33:00.001Z

Just about to do powers of 10 with year 8, going to show them part of this clip to 'connect'!!

Powers of 10

2009-12-07T12:01:00.000Z

If you liked the fireworks in November, you'll love this snowflake links. Click here to design a snowflake and see it in 3D or here if you want to send a snowflake to someone!

2009-11-26T16:34:00.002Z

Just discovered Piggy - how fantastic is he!

See his guide to metric and imperial units here; pounds to kilograms here and lastly how about pints to kilograms here

Well done Piggy

2009-10-11T15:00:00.002+01:00

Came across this website, quite nice if you ever need a quick summary.

Thanks Yarnell!

2009-09-23T12:14:00.001+01:00

Knowing that I like optical illusions, a student gave me this website address. It also contains some brainteasers (more of my favourites)

2009-08-25T17:18:00.001+01:00

Check out these Maths at Work film clips courtesy of NCETM

2009-07-16T12:30:00.000+01:00

Last one!

2009-06-22T19:54:00.001+01:00

Units of measurement blockbusters

2009-05-06T10:59:00.001+01:00

Just about to do GCSE Maths? Here's a good luck quiz to set you on your way!

Aiming for an A* - try this one

2009-04-22T22:54:00.001+01:00

Happy birthday to us Max!!

2009-04-02T21:54:00.001+01:00

From the little man!

2009-02-18T16:07:00.007Z

Well done to IGS for 42,275 questions answered towards the new world record!

It's almost here again! World Maths Day - 4th March 2009. Click on the picture below to join in.

2009-02-12T14:36:00.004Z

Year 10 have tests after half term.

Here are two revision quizzes!

Foundation
Higher

2009-01-16T17:18:00.002Z

Here's the rollercoaster game - great for thinking about Maths and Physics ideas!

2009-01-01T17:05:00.001Z

HAPPY NEW YEAR!

How long do you think it took them to set up this dominoes pool video?

2008-12-30T09:01:00.001Z

If you need your Maths fix over the holiday, there's always www.mymaths.co.uk ("aawwww Miss" I can hear you say Max!) Obviously I'll be playing a few Maths games each day as I always do!

2008-12-19T10:24:00.000Z

Thanks Brittanie for this excellent link to optical illusions

http://www.michaelbach.de/ot/

2008-12-13T16:20:00.001Z

Christmas is a time for giving so here's a link that lets you test your maths knowledge and be generous at the same time! freerice.com

2008-11-06T18:02:00.001Z

I've done another blockbusters quiz - it's my competitive nature!

C1 revision blockbusters

2008-11-01T12:48:00.002Z

Try Andrew Jeffrey's website of the month activity, guess your number!

2008-10-31T15:15:00.002Z

Mr Allcock pointed me in the direction of wordle, so this is wordle's version of my blog!

2008-10-31T14:58:00.002Z

Handling data blockbusters, ideal for those preparing for their modular exam coming up!

Collecting and representing

Interpreting

General

I love quizzes!

2008-10-11T15:59:00.001+01:00

So this week we're doing coordinate pictures. Click on the octopus if you'd like to do some more.

2008-09-13T18:24:00.002+01:00

Thanks for your comments Gemma - and good luck with the college lecturing!

I've had a blog for a couple of years now and use it to identify useful resources both for teaching and learning. It's also a forum for the occasional comment from students, and a place to publish examples of their work.

My blogging knowledge is pretty limited, I'm sure I could use the site for much more if I knew how to!

2008-09-06T16:58:00.001+01:00

What grade do you think you'll get?

A couple of interesting graphs for you courtesy of the BBC:

AS Maths results

GCSE Maths results

2008-09-06T16:45:00.003+01:00

Year 12 Reading

Well - you said you wanted some reading, so here are a few links.

How about this as a starter - 101 uses of a quadratic equation!
http://plus.maths.org/issue29/features/quadratic/index-gifd.html

The excellent math tutor website is one to use to brush up on any skills you think you need to.

OK, maybe you won't read the entire article, but the website is well worth a look.

Peter Higgins - Mathematics for the Imagination or Mathematics for the Curious are recommended.

2008-08-31T20:57:00.002+01:00

Current favourite teaching resource, moved to the top of my list! The activities are linked to the appropriate Maths topic.

teacherled - fantastic!

Happy new term everyone

2008-07-08T20:03:00.002+01:00

Knowing how much I love Maths and music, I found this really interesting. Hope you do to!

Complicite - Indian Classical Music and Mathematics

2008-06-19T18:29:00.002+01:00

You know how you loved World Maths Day?

Well here's tutpup.com which you'll enjoy just as much! Can't wait for our first challenge. Credit to MisterP's blog which is where I found this great link.

2008-05-24T13:08:00.002+01:00

So the challenge is "how or when did you use maths over the half-term holiday?"

Let's see what you can come up with, loads of stamps on offer for you to try and get to diamond and double diamond!

2008-04-15T15:45:00.000+01:00

Year 9 interactive revision

When you fancy a break from SAM Learning folks, try these links below for alternative revision:

Level 3-5 click on Maths revision (or if you fancy, Science or Literacy!)
Mathsnet - lots of interactive questions - choose your topic
Maths films - check these out, they're great!
10 ticks practice questions and games, you can select by topic and level
CIMT - an opportunity to test yourself and get immediate feedback
Online practice papers
Waldo maths - strange name, excellent website!
Subtangent - still my favourite website
Bitesize - another old favourite

Any questions, let me know! Happy revising - but take frequent breaks for games and refreshments!!

2008-04-06T14:46:00.043+01:00

Teacher Resources

I'll be adding to this as and when.....

Mathematics Learning Objectives - National Strategies Framework

A wealth of resources can be found courtesy of TSM

Movies with a Maths theme
The Futures Channel

Number
Interactive SAT style questions from mathsnet
A quizbusters on compound interest and depreciation
A fractions quizbuster - still one of my favourite activities

Algebra
Equations of straight-line graphs blockbusters (made by me!)

Interactive SAT style questions from mathsnet

Solving equations using the balancing scales method

Handling Data
Interactive SAT style questions from mathsnet

Collecting and representing data blockbusters

Interpreting data blockbusters

QCA GCSE projects

I've included mathsfaculty a couple of times, has some excellent links to powerpoints and worksheets
http://www.mathsfaculty.co.uk/gcse_maths_modular.htm

Fantastic gapminder

Shape and Space
Circles quizbusters

Great for constructions Mr Reddy!

Interactive SAT style questions from mathsnet

Units, area and perimeter quizbusters

Tangrams the football movie

KS3 Revision
http://www.costello.hants.sch.uk/ma/ks3_ma_sats/ks3a_ma.htm

Well done to the Costello Maths Department on this excellent resource

General
Worksheet genius - genius by name, genius by nature!

Ten starter questions is very good - well done Mr Gallinagh, and he has some excellent powerpoints which can be found on the same site.

Shodor interactivate - I should really link the best activities to the topics, but haven't had time to yet!

Lots of blockbusters style quizzes

http://www.mathsfaculty.co.uk/gcse_maths_modular.htm

http://www.flashymaths.co.uk/

http://www.webmaths.co.uk/

http://www.mathsisfun.net/TeachingResources.htm
How fantastic is the Math department at Oaks Park High School - well done to you all.

http://www.teacherled.com/

http://www.mrbartonmaths.com/teachingresources.htm

http://www.freemaths.net/index

http://www.maths.liv.ac.uk/lms/funmaths/fm-index.html

http://www.what2learn.com/games/maths/

Key Stage 5

C1 Waldo Maths

Now I made these, so there may be one or two questions unique to my classes......
C1 revision blockbusters quiz

OCR C1/C2 revision blockbusters quiz

C1 worksheets
C2 worksheets

http://www.mathtutor.ac.uk/index.shtml

http://www.kangaroomaths.com/

http://www.chartwellyorke.com/teachAlevel.html

http://www.mathedup.co.uk/Key_stage_5_resources.htm

http://www.registart.co.uk/asa2.html

http://www.mathspapers.co.uk/index.html (not working last time I looked!

http://pastpapers.org/edexcel-mathematics-past-papers but this one is

2008-03-16T14:54:00.002Z

If you want to know how to create a blog, well this is what I did!

Google blogger

Click on Blogger: Create your Blog Now – FREE
Click on Create your blog now

Follow the instructions to:

Create a Google Account (Display name is how your name will appear, for example Ms Caven)

1. Name your blog - be as creative as you wish, I wasn't!
2. Choose a template - this is the fun bit as you can preview how it'd look

And that’s it – your blog has been created.

2008-03-15T16:23:00.002Z

Year 7 homework helpdesk!

Send your comments/questions and I'll reply on this posting.

Mean, median, mode homework

Sorry I don't have a copy of the homework with me (tut tut), I'm guessing the dots mean continue the table in the same pattern. Come and see me tomorrow if needed.

Good luck

2008-03-01T15:56:00.002Z

Probably one of the best maths games websites I have ever come across.

And fantastic for revision!

http://www.supermathsworld.com/

2008-01-23T19:18:00.000Z

TOP new game!

Try it, hope you like it - click here
Have to say thanks to 'deicide' for this one.

2008-01-23T18:37:00.000Z

World Maths Day is 5th March.

SCORES ARE RESET TO ZERO AT THE START OF WORLD MATHS DAY
But don't worry, I printed out the scores that people already had!

Students can take part at school or at home in real-time battles of speed and skill using the Live Mathletics game engine.

If you want to take part, see me for a login and password.

Click here to check out the website.

** Update** Current high scores for 7G1 are Giljae and 7W2 Natasha C - good luck to all of you!

** Update** Giljae has been overtaken by Sophia.....- time to go get some sleep I think!

** Update** Sophia still in lead with Elliot in second place, closely followed by Dionne

** Update** Sophia's lead looks in doubt as Jappi races up the learderboard!

** Update** We have a new leader!! It's Hadiyah - can Sophia or Jappi come back?

**Update** She's back in the lead, how determined is Sophia?

**Last update** Dionne, you're in second but we have a clear winner - and I think you can guess who it is!

2008-01-13T19:04:00.000Z

Thanks for all your comments about question 3. Remember that this is a level 6 question so it's meant to challenge you.

To the person that asked if the answer to 3a) is 1 the answer is yes!!!

To those that want to come and see me tomorrow, of course - either break or lunchtime or even 3:15! See you tomorrow then.

2008-01-11T22:05:00.001Z

Any problems with the homework year 7, send me a comment here and I'll post some clues!

OK, I've had a request about question 3, it's quite a tough one and requires a lot of imagination.

Imagine a bag with red and blue marbles in it. We know that the probability of taking a blue one is one quarter, so........

there could be red red red blue

or

red red red blue
red red red blue

or

red red red blue
red red red blue
red red red blue

and so on. So consider this when you are imagining taking the marbles out!

2007-12-02T21:36:00.000Z

If I knew who had sent this then I'd give them an extra stamp - but as they didn't include their name.......

hi miss, erm this has nothing to do with the post but still this is the homework you set us to do on vectors: haha couldnt be bothered copying it all up :]

Some physical properties, such as temperature or area, are given completely by their magnitude and so only need a number (called a scalar ) to represent them. But there are other physical quantities, such as force, velocity or acceleration, for which we must know direction as well as size or magnitude in order to work with them. It is often very helpful to represent such quantities by directed lines called vectors . Because vectors carry the physical information of both magnitude and direction, using them gives us a very neat way of handling these quantities.

2007-11-26T15:09:00.000Z

So now we know what isometric means....

So impressed was I with this Keeleigh (Brodetsky year 6), that I decided to put it onto the blog for us all to admire! And if you want to see an even larger version of it, just click on the picture.

2007-11-25T21:44:00.000Z

Year 7 homework - just do what you can folks, don't worry, as long as you do your best then I'll be happy!

2007-10-29T22:04:00.000Z

Had some rather interesting maths jokes sent to me recently, I'll be speaking to 10W1 tomorrow!

2007-10-06T13:02:00.000+01:00

The last question has been up a week now and I can tell you that the correct answer was 7. Well done to those of you that got it correct.

And on to the latest challenge

Six wolves catch six lambs in six minutes.
How many wolves will be needed to catch sixty lambs in sixty minutes?

No, the answer is not sixty. Try again!

2007-09-28T17:09:00.000+01:00

Question to get you thinking.

Each child in a family has at least 3 brothers and 2 sisters. What is the smallest number of children the family might have?

Answers on a comment please! & remember to include your name!!

2007-09-05T17:58:00.000+01:00

8G2

Don't forget to find out what comes after billions in place value. You can post your answer here!

2007-08-23T14:56:00.000+01:00

Well done to everyone who was in 11G1 for Maths on their excellent set of results! You've done me proud. See you soon or if you're not coming back to Allerton, good luck in whatever you choose to do next.

2007-08-06T16:41:00.001+01:00

And if you're really bored over the holiday you could try THE QUEST OF 9

I'm currently in the tetrahedron room!

2007-08-06T16:04:00.000+01:00

Time for a holiday joke

Q. Where did the mathematician go on holiday?

A. Cuba

If you can do better, and I hope somebody can, answers on a postcard (or comment) please!

2007-07-20T20:03:00.000+01:00

Thanks for the message Jess - and you all have a great holiday too!

See you in September.

2007-06-25T17:50:00.000+01:00

End of year tests

Revise here! Click on the link below, and keep mouse-clicking to advance to the next slide.

7G2 Non-calculator

8W1 Non-calculator
8W1 Calculator

2007-06-22T21:04:00.001+01:00

Year 7 homework

And the winners are Genevieve and Sam!!!!

But don't let that stop the rest of you from adding your findings!!!!

2007-06-11T21:17:00.000+01:00

Well done year 11s.

No more maths, ever..... well unless you're doing AS and A2 starting in September.

Don't go forgetting it all over the summer.

Looking forward to results day in August.

So it's good bye from me.....and good bye from him!

2007-06-07T12:51:00.000+01:00

This is a list of topics that I think "could" come up on Monday - not extensive but should be considered!

Pythagoras
Dimensions (is it length, area, volume, none)
Trial and improvement
Transformations (rotation, reflection, translation, enlargement)
Trigonometry; SOHCAHTOA; could be 3D
Standard Form
Circle theorems
Area/circumference of circle or more likely sector or arc
Histograms
Percentages; original price; compound interest or depreciation
Solving equations
Factorising quadratics
Ratio
Cosine and sine rules
Area of triangle using sine rule
Upper and lower bounds
Solving quadratic using formula
Direct or inverse proportion

GOOD LUCK AGAIN

2007-06-04T18:17:00.000+01:00

So how did you get on today then?????

The reciprocal of 2 by the way is a half, did I not mention that?!

Well done, you're halfway there (well for Maths anyway). Watch this space for my thoughts on what will appear next Monday!

2007-06-03T11:46:00.000+01:00

OK - it's the non-calculator paper tomorrow. Edexcel, approx 60% would get you an A for those who asked.
Don't forget compasses, protractor etc.

Read the questions carefully and don't panic.

Good luck everyone!

2007-05-26T16:12:00.000+01:00

ANSWERS TO PYTHAGORAS QUESTIONS
As requested

If you didn't get these answers and/or need more help on these or other questions, let me know.

2005 Q4

(a) PQ = 13cm
(b) PQ is diameter so angle in semi-circle is right angle
(c) pi x 6.5 squared, sp 133 to 3 sig fig

2004 Q18

Angle is 25.8 degrees

Find PT using TOA (PT = 46 divided by tan 36)
Find TR using Pythagoras (square root of 46 squared plus 123 squared)
Find angle PRT using TOA (angle = tan -1 PT divided by TR)

2003 Q1

(a) Volume = pi x 5 squared x 12 = 942.48

(b) Max diagonal of pencil case is square root 12 squared + 10 squared which equals 15.6cm so a pencil of 14cm will easily fit in.

2002 Q7

(i) 32cm

(ii) 26 x 82 divided by 18.6 = 115cm

2007-05-21T20:54:00.000+01:00

7G2 homework tip

To find the 50th term of a sequence, replace n with 50.

Example

Sequence is 2, 5, 8, 11, 14, .....

nth term is 3n - 1 (goes up by 3 each time, take away 1)

50th term is 3 x 50 - 1 = 149

2007-05-20T14:59:00.001+01:00

Thanks to year 10 for their latest fabulous maths art!

So how many pentagons can you see? And what about lines of symmetry? Now there's a challenge! Click on the picture if you'd like to enlarge it.

2007-05-02T09:10:00.000+01:00

To year 6 at Brodetsky
It's your turn this week so....

Be confident and show us what you know!

2007-04-28T18:36:00.000+01:00

Year 7 rounding game

Click on the picture for extra practice

2007-04-28T17:36:00.000+01:00

Year 9 Level 6-8

Want to know what the topics of the last few questions of each paper have been over the last few years? Click here! Might give you a few ideas for some last minute revision!

2007-04-26T18:38:00.000+01:00

Dionne - you are a SET superstar! I don't think I've ever found all six sets!!

WELL DONE

UPDATE - we now have lots of SET superstars, well done to Alice (year 6), Lewis, Satnam and Laura too.

2007-04-14T13:09:00.000+01:00

Game, set and match

Here's an addictive little logic game called SET.

Click on the picture below and then "how to play" to find the simple rules.

Looks so easy but...... see what you think!

There is now a link to this game on the GAMES menu on the right hand side

2007-03-25T14:49:00.000+01:00

Year 9's revising for SATs

As promised, click on this link for interactive SATs practice.

http://www.netagency.co.uk/keyedin2/satsprep.html

2007-03-19T21:59:00.000Z

Year 11 - want to check out equation of a circle from today's lesson? Of course you do!

Click on this picture below and it'll take you to a great website.

2007-03-12T20:38:00.002Z

INTERACTIVE REVISION

An absolute must for all GCSE students. Want to know which types of questions appear most often? Click on the link below.

http://www.gcsemathspastpapers.com/Fav-Qs.htm

This link has disappeared unfortunately
http://www.gcsemathsrevision.com/gcse-maths-frequency-exam-questions.htm
See previous paper questions sorted by topic

This website has many other useful pages to it. ENJOY!

Concentrate on getting at least a C by using this link (thanks to Emaths for that one)

Like watching short films? Check this site out for cool maths video clips. "millaismillais"

10 ticks - you can't revise maths just by reading from your exercise book or revision guide - you need to practise the questions! Lots of interactive tests, select by topic and level; feedback given.

Wolverhampton wonder - check this school's site out for maths revision

Waldo maths - great teaching tools and activities, click on 11-16 (unless you're already thinking about A level...). I particularly like the factorising activities.

2007-02-12T08:35:00.000Z

Year 8 Rangavalli patterns

Rangavalli patterns are found in many parts of India. They are patterns created early in the morning on the front step of the home. They help to protect the home from evil luck. The patterns are made with grains trailed on the floor from the open hand.

Great for creating pictures with rotational and reflection symmetry. Well done to Shaun, Emily and Safiyyah! Click to enlarge pictures.

2007-02-09T11:45:00.000Z

Year 11

Answers to the first 10 questions of the algebra revision are attached.
If you need to check the remainder, please send a comment and I will upload.

Algebra revision answers, don't know how to do powers so ^2 means squared etc.

1
a) t^8
b) 12a^2b
c) 30a^4b
d) a^6b^3
e) 24p^2q^4
f) a^3b^3c^3
g) 4x^2
h) 27x^6y^3

2
a) a^2
b) a^2b
c) 4a^-3b^3
d) a^4
e) a^4c^-1
f) 2a^2b^2c

3
a) 2p + p^2
b) 10x + 15
c) -21x^2 + 12x
d) 3y^2 – 2y^5
e) 2x^3 – 5x^2
f) 3x^3 – 2x^2 + 5x

4
a) 4a + 3a + 2 = 7a + 2
b) 3p + 10p – 6 = 13p – 6
c) 9t – 6t – 12 = 3t – 12
d) 5r – 6 + 12r = 16r – 6
e) 2x + 2 + 3x + 12 = 5x + 14
f) 3x + 18 – 3x – 12 = 6x + 6
g) 7 + 5x + 10 = 5x + 17
h) 11 – 2x + 10 = 21 – 2x
i) 12t – 20 – 8 + 12t = 24t – 28

5
a) 4(x + 2)
b) 6(x – 3)
c) 4(x2 + 5)
d) x(3x – 1)
e) 5y(2y – 1)
f) 4x(x + 3)
g) 5y(3y – 4z^2)
h) xy(y – x)
i) 2x^2y^2(2yz + 3x)

6
a) (x + 3)(x – 3)
b) (z + 1)(z – 1)
c) (2x + y)(2x – y)
d) (3w + 5y)(3w – 5y)
e) (6x + 2)(6x – 2)
f) 2x^2 so can’t be difference of two squares

7 factorise then solve
a) x(x – 9) = 0 so x = 0 or x = 9
b) x(x – 5) = 0 so x = 0 or x = 5
c) x(5x – 3) = 0 so x = 0 or 5x – 3 = 0, x = 0.6 (three fifths)
d) x(x – 7) = 0 so x = 0 or x = 7
e) 2x(x – 4) = 0 so x = 0 or x = 4
f) 3x(x – 2) = 0 so x = 0 or x = 2

8
a) x^2 + 8x + 15
b) x^2 + 8x + 7
c) x^2 + x – 30
d) x^2 + 5x – 36
e) x^2 – 5x + 6
f) x^2 – 10x + 9
g) x^2 + 10x + 25
h) x^2 – 16x + 64
i) 2x^2 + 5x + 3
j) 8x^2 + 10x – 3
k) 9x^2 – 9x + 2
l) 16x^2 – 24x + 9

9 Factorise then solve
a) (x + 2)(x + 3) = 0 so x = -2 or x = -3
b) (x + 6)(x + 1) = 0 so x = -6 or x = -1
c) (x + 3)(x – 2) = 0 so x = -3 or x = 2
d) (x – 7)(x + 3) = 0 so x = 7 or x = -3
e) (x – 5)(x – 1) = 0 so x = 5 or x = 1
f) (x – 7)(x – 5) = 0 so x = 7 or x = 5
g) (x – 1)(x – 1) = 0 so x = 1
h) (x + 3)(x + 3) = 0 so x = -3
i) (x + 7)(x – 4) = 0 so x = -7 or x = 4

10 Factorise then solve
a) (2x + 1)(x + 3) = 0 so x = -0.5 or x = -3
b) (3x – 1)(x + 2) = 0 so x = 0.33333… or x = -2
c) (5x - 2)(x – 3) = 0 so x = 2/5 or x = 3
d) (2x - 1)(2x + 3) = 0 so x = 0.5 or x = -3/2
e) (4x + 3)(x + 5) = 0 so x = -3/4 or x = -5
f) Simplify first and you get 3x^2 – 7x + 2 = 0, so (3x – 1)(x – 2) = 0, x = 0.33333… or x = 2

2007-01-28T17:21:00.000Z

Level 6-8 hot topics!
Last few years, last few questions

Year	Non-calc	Calc
2006	Circle theorems Real-life graphs Substitution into formula Mean Factorising quadratics Standard form	Trigonometry Reverse % Probability of dependent events Similar shapes Surface area % increase/decrease
2005	Higher order equations a+b=ab, a=b+2, find a and b Construction Mean/median Standard form Box & whisker	Substitution into formula Trigonometry Real-life graphs % increase/decrease Cumulative frequency Complex area
2004	(n+1)² + n² = odd Matching graphs to equations Cumulative frequency % increase/decrease Powers Standard form	Pythagoras and trigonometry Exterior angles Higher order equations Sequence nth term Simulataneous equations
2003	Probability Circle theorems Inequalities Cumulative frequency Equations of lines	Algebraic manipulation Inverse vol of cylinder Pythagoras and trigonometry Standard form

Year

Non-calc

Calc

2006

Circle theorems
Real-life graphs
Substitution into formula
Mean
Factorising quadratics
Standard form

Trigonometry
Reverse %
Probability of dependent events
Similar shapes
Surface area
% increase/decrease

2005

Higher order equations
a+b=ab, a=b+2, find a and b
Construction
Mean/median
Standard form
Box & whisker

Substitution into formula
Trigonometry
Real-life graphs
% increase/decrease
Cumulative frequency
Complex area

2004

(n+1)² + n² = odd
Matching graphs to equations
Cumulative frequency
% increase/decrease
Powers
Standard form

Pythagoras and trigonometry
Exterior angles
Higher order equations
Sequence nth term
Simulataneous equations

2003

Probability
Circle theorems
Inequalities
Cumulative frequency
Equations of lines

Algebraic manipulation
Inverse vol of cylinder
Pythagoras and trigonometry
Standard form

2007-01-27T14:53:00.000Z

Message to Yogesh - what angle bisecting sheets are you talking about?????

http://www.teachers.tv/video/2283 Click on this and you can watch the videos again. Hope this keeps you occupied!

2007-01-22T15:20:00.000Z

11G1 Sine and Cosine Rules homework

Written hints and diagrams

Q1e) Find the other angle first using the sine rule, then you can find x because angles in a triangle add up to 180 degrees.

Q1f) You have two angles already, so subtract from 180 to find missing angle. Now you can use the sine rule.

Q2 Find length of line AC first by using the cosine rule - remember to square root! Then find AB using sine rule.

Click to enlarge diagrams.

Q3 Draw a diagram and take care labelling it.

So if AC is 14cm, AM or CM are 7cm
Similarly, if BD is 20cm, BM or DM are 10cm

You can now work out angle CBM using sine rule which is a start and take it from there!

Q4 Remember, bearings are always measured from North. Again, draw a diagram.

This one's actually quite easy - but then I would say that.......ok angles in a triangle add up to 180 then sine rule.

A tough homework, so if you do want any more help, send a comment or breaks, lunchtime etc.

2007-01-21T12:44:00.000Z

Website of the week - algebra v. the cockroaches

This is a great game for working out the equations of straight lines.

http://hotmath.com/hotmath_help/games/kp/kp_hotmath_sound.swf

Especially useful for those preparing for SATs!!!

2007-01-20T12:58:00.000Z

7G2

Here he is folks - it's Euler. Add your findings by clicking on the time and posting a comment.

2007-01-13T15:57:00.000Z

7G2 Homework

For those that wanted to know, you can write on the homework sheets where there is room as long as you stick it into your exercise book. However, any bar charts will need to be drawn in your exercise book because there's not enough room on the worksheet.

Hope this clarifies the situation!

2006-12-16T14:07:00.000Z

If you like Christmas quizzes then click on one of the symbols below:

Enjoy!

2006-12-08T08:06:00.000Z

Hello to year 6 at Brodetsky!

Here is our first poster (click on it to enlarge), more to follow. And don't forget to check out the games link on the right hand side.

2006-12-04T11:37:00.000Z

Rotation posters

And the winners are......

Congratulations to Safiyyah, Jashan, Zahra and Emily

2006-11-29T20:49:00.000Z

Trigonometry homework

b) sin 67 = x/17, so x = 17 sin 67

c) the two missing angles are tan-1 (4.32/3.65) and tan-1 (3.65/4.32)
(of course you only need to work out one of the missing angles to find the third one as angles in a right angle add up to 180 degrees as we all know!!!)

d) tan 47 = x/4.56, so x = 4.56 tan 47

e) the two missing angles are sin-1 (3.62/7.95) and cos-1 (3.62/7.95)

f) the two missing angles are sin-1 (4.32/6.41) and cos-1 (4.32/6.41)

g) angle at wall is cos-1 (1.5/5)

Full answers in detail in class. Don't worry, it's only November!

2006-11-27T15:45:00.000Z

11G1 Homework help

Click on this to see question 1, other answers to follow when I have time to work them out!

2006-11-27T15:28:00.000Z

7G2 Homework Help

I think of a number, take 13 and the answer is 98

I tend to use "n" for number, somy expression is .....

n - 13 = 98

now we have to find out what "n" is, so work backwards
98 + 13 = 111

n = 111

let's check to see if that works?

does 111 - 13 = 98? YES!

2006-11-25T12:57:00.000Z

7G2

Today's high score for the Hit the Button game is 55 out of 55 on my 8 times table.
See if you can beat that then!

Follow the games link on the right-hand side

2006-11-13T09:00:00.000Z

Current Homework Tasks

Class	Task	Due Date	Help
7G2
8G4
8W2
9G4
9W1
10G3
11G1

2006-11-12T09:23:00.000Z

7G2 Homework challenge

The digits in the number 42, add to six (4 + 2 = 6).
There are exactly six 2-digit numbers with this property:

15, 24, 33, 42, 51 and 60

How many 3-digit numbers exist for which the sum of the digits is six?

Submit your answer onto the blog by clicking on comments at the bottom of this entry. Remember to include your name!!

2006-11-05T08:25:00.000Z

Factors and Multiples Game

8W2 - this is where we'd got up to. Prize for the first correct answer. Click the picture to enlarge it.

Anyone else is welcome to have a go!

2006-10-19T18:59:00.000+01:00

Thanks for your message Hannah - hope everything is going well for you at LGHS. Scroll down to see your work as a quick reminder.

2006-10-19T18:15:00.000+01:00

Back in July......as requested Hannah!

Year 6

So anyway, last week at Brodetsky we were looking at congruent shapes and how they might tessellate and these were the best! Sorry Andrew, but the wall didn't quite make it!

2006-10-19T17:32:00.000+01:00

& this was June!

The Handshake Problem

Well done to my students from Brodetsky - here are your posters. Click to enlarge.

2006-10-08T13:55:00.000+01:00

Ever wondered what pi sounds like? Click here to find out!

2006-10-07T10:55:00.000+01:00

Angles and parallel lines

Click on the pictures to enlarge them and remind yourselves how to spot alternate and corresponding angles.

2006-09-30T17:45:00.000+01:00

As requested by a very enthusiastic (and talented) student in 8W2

So we're multiplying out brackets and simplifying at the moment - try this one:

3a(a + b - 4) - b(3a + 2 - b) + 4c(2a + 3b - 4c)
=

Get this right and I'll be so impressed I might even reward you with a gold slip! How about that then eh?!