Chapter 2 Assessment

Hi all,

I’ve just been marking your Chapter 2 assessments – and overall they were pretty good (an average mark of over 79%), however I’m using this blog to help some of you pick up some extra marks.

Two relatively uncommon, but easily corrected mistakes:

  • Not rounding to 3sf when asked.
  • Using incorrect sine and cosine rule formulae (definitely no excuses on an open book assessment!).

I’m also going to go over a couple of the less well answered questions – namely Q7b and Q8.

On Q7b it said that is cos(A) = 3/4, find the exact value of sin(A). The mark scheme gave two possible ways to answer this question – one was using the trigonometric identity below which I’m not sure if you have covered with Mrs P yet.

Alternatively, you could recreate the triangle which would give you cos(A) = 3/4 – see this solution by Mr McBride (sorry, my scanner isn’t working – this is a photo of what he wrote on one of your assessments during P6):

WP_20160313_001 [815498]

For Q8, you needed to use the ambiguous case of the sine rule (see this blog post if you need a reminder).

I’m going to give you a few hints, then if you could complete the question and resubmit it to me I can increase your assessment grade.

  1. There are two possible triangles that could be created – find one of the missing angles and then do 180 – that angle to find the other one.
  2. Decide if there’s any other information that you need before substituting into the area rule (clue – there is, don’t just substitute these angles in straightaway).
  3. Find the areas
  4. Find the difference between the areas.

 

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Mock Paper

Hi all,

Firstly, a massive congratulations for your superb results in your latest mock – they were much improved and well deserved ūüôā

The paper is available here: June 2010 Paper and the mark scheme is available here: June 2010 MS.

When going through the paper, if you find the mark scheme tricky to understand, this website looks really helpful: Exam Solutions Рit goes through each question on the paper and provides a video of a worked solution. For similar things for other papers (including Statistics and Further Maths), see here.

You asked me to go through Q10c – see below!

Page 1Image (2)

See you tomorrow,

Mrs Shaw

Laws of Logarithms – Extension Material

Hi all,

Last lesson your bell work was to decide whether the following statements were True/False:

True False

You then got your papers back (more in next blog post), before you looked at the laws of logarithms and completed the corresponding exercise.

You’ve done really well with logs so far, so the slides below provide some extension material for you to have a look at.

This task requires you to use Card A initially to answer the other cards (you might not be able to do them in order):

Cards

And, see the first page in this document for a Venn Diagram task.

See you tomorrow,

Mrs Shaw

Logarithms – 1/3/16

Hi all,

Today we had our first lesson on Chapter 3 – you started by drawing some graphs of the form y = a^x and solving simple questions by reading off the graph (Exercise 3A).

You then completed Exercise 3B which was easy-peasy, just getting you to type some logs into your calculator.

We then spent more time converting between logarithmic and exponential form, before you completed Exercise 3C .Then you all played “Log Wars” – silly as the name is, you did really well on this and managed to do some logs in your head quickly. Rules are below and cards are here:¬†logarithm war cards.¬†Logs and practical applications

I then quickly spoke about how logs are used in the pH scale – might be particularly useful for those of you studying Chemistry. See the link on the slide for extra information.

Logs and practical applications

Really well done for your work today, you picked everything up really quickly.

Best of luck for Thursday, I’ve got everything crossed!

Mrs Shaw

 

 

Revision

Hi all,

Due to popular demand, please find a blog post full of revision techniques/resources.

Remember to use the document that I gave to you today – it contains lots of tips and a handy check list for you to tick off as you go through.Remember this poster as well:

Revision Resources by Chapter

  • Topic by topic questions, followed by 4 sample papers¬†here
  • Essential skills for each chapter¬†here
  • Some C1 (and C2) revision cards from Jo Morgan¬†here
  • Lots of worksheets by topic¬†here
  • A Level maths revision videos¬†here¬†(free login required)
  • 5 a day C1 only¬†here

General Revision Resources

  • May 2014 paper¬†here¬†(mark scheme is easy to find online)
  • May 2013 paper¬†here
  • January 2013 paper¬†here
  • 35 basic C1 questions¬†here

And don’t forget, weird looking as their website is, and old fashioned as the insides of their books look,¬†Alpha Workbooks¬†are brilliant (and much cheaper than CGP books).

Best of luck for Thursday, let me know if you can’t find something in particular,

Mrs Shaw

 

Sine and Cosine Rule – 26/2/16

Hi all,

You’ve done really well in this chapter – although lots of it is GCSE revision, you’ve taken the more complex questions in your stride and should be proud of your work.

In today’s lesson we spent the first half analysing a¬†couple of exam questions, before you thought about how else they could have phrased the question, or what else you could have been asked. You then went on to design your own exam questions and wrote your won mark schemes – I look forward to looking through these this evening. As you know, I’ll be using them as part of a presentation at the University of Leeds in the near future – if you have any feedback please comment below/email me/leave me a note – thanks!

Due to your upcoming mock I have set you homework which isn’t due for a while – the Mixed Exercise is due next Friday, and the assessment is due a week on Tuesday.

I’ll write another post in a second about revision resources.

Mrs Shaw

Sine/Cosine Rule

Hi all,

I hope that you are enjoying your holidays so far and making the most of the time available to you.

Last week we revisited the GCSE work that you covered on sine and cosine rule. We used these triangles below to prove the general formula for the area of a triangle, and used that to derive the sine rule.

Picture1.png

You then marked and corrected some incorrect work, before having a go at some questions yourselves, producing some superb homework – well done!

On Friday we looked at the ambiguous case of the sine rule (for another look at why this occurs Рsee this video: Sine Rule РAmbiguous Case Video, or try this interactive activity: Sine Rule РAmbiguous Case Activity). We also had a look at the cosine rule.

The following documents might help you if you need to go over things a little more slowly:

Remember your homework from me was to:

  • Complete C2Ch1 assessment
  • Complete selected questions from the two cosine rule exercises

and you also were given an S1 paper from Mrs Price.

Enjoy the rest of your break,

Mrs Shaw