A2 doubles F block Thursday 7th May 20 lesson today 8.50-10.00 (please read the whole page)
1.Topic work vectors continued.
2. Continue work on the FP1 assignment 2 (previous page) and the Mechanics part of paper 5 on the VLE due in Tuesday 12th by 10am
No lesson Friday Bank Holiday (celebrating VE day). We will have finished vectors after today so next week is vector consolidation:)
If you are thinking this work seems quite easy for further maths this is because this is the AS part of the further maths course it will get more challenging.
1.Topic work vectors continued.
2. Continue work on the FP1 assignment 2 (previous page) and the Mechanics part of paper 5 on the VLE due in Tuesday 12th by 10am
No lesson Friday Bank Holiday (celebrating VE day). We will have finished vectors after today so next week is vector consolidation:)
If you are thinking this work seems quite easy for further maths this is because this is the AS part of the further maths course it will get more challenging.
Our topic today is Finding Perpendiculars or Shortest Distances:
using the fact that the scalar product is zero for perpendicular vectors (since cos 90 is zero)
(i) the shortest distance between two parallel lines read example 24 page 194
(ii) the shortest distance between two non parallel lines (first video)
(ii) the shortest distance from a point to a line (second video)
(iii) the shortest distance from a point to a plane (third video)
using the fact that the scalar product is zero for perpendicular vectors (since cos 90 is zero)
(i) the shortest distance between two parallel lines read example 24 page 194
(ii) the shortest distance between two non parallel lines (first video)
(ii) the shortest distance from a point to a line (second video)
(iii) the shortest distance from a point to a plane (third video)
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Now do the following questions Ex 9F page 200 questions 1, 2, 3a) 4, 5a) 6 a),b),10,11.
What about the FP1 learner pack? I will be asking you to submit the vector pages 1-5 completed when we finish vectors at the end of next week. * one of the students spotted a mistake in the FP1 learning pack on page 3 corrected version here
Learner pack_FP1_updated_04-05-20.docx | |
File Size: | 5291 kb |
File Type: | docx |
please read:
Your Assignments were well done BUT........
I was shocked at the presentation of a few students' work, most students produced work as it should be written, some were nothing short of dreadful! As second year doubles you are, or will be, the stars of the maths department, you set the standard for all other maths students in college so if you can't write maths correctly and clearly then who can?
So if you know your presentation is sub standard.... can you raise your game please and submit work with good, clear presentation as well as good content from now on. Maths is a beautiful and elegant subject, addressing the understanding of the universe. Pay Mathematics the respect it deserves. It is a language and you are communicating it to the person reading your work.
An example of how it should look is here please have a look and impress me next week:)
I was shocked at the presentation of a few students' work, most students produced work as it should be written, some were nothing short of dreadful! As second year doubles you are, or will be, the stars of the maths department, you set the standard for all other maths students in college so if you can't write maths correctly and clearly then who can?
So if you know your presentation is sub standard.... can you raise your game please and submit work with good, clear presentation as well as good content from now on. Maths is a beautiful and elegant subject, addressing the understanding of the universe. Pay Mathematics the respect it deserves. It is a language and you are communicating it to the person reading your work.
An example of how it should look is here please have a look and impress me next week:)
how_to_set_out_your_work.pdf | |
File Size: | 55 kb |
File Type: |
Setting out proofs
first line:To Prove and write it here.
choose LHS or RHS to work on
state LHS = write it here ( before you do any work on it!) or RHS= and write it here
then start working on the LHS working down the page
LHS =
=
=
= RHS end of proof
or RHS =
=
= LHS
all equal* signs underneath each other holding it all together.
* question: what is the mistake in the proofs above?
answer: they should all be identity signs so three lines true for all values of x.
Looking forward to seeing this improvement in your assignments next week.
first line:To Prove and write it here.
choose LHS or RHS to work on
state LHS = write it here ( before you do any work on it!) or RHS= and write it here
then start working on the LHS working down the page
LHS =
=
=
= RHS end of proof
or RHS =
=
= LHS
all equal* signs underneath each other holding it all together.
* question: what is the mistake in the proofs above?
answer: they should all be identity signs so three lines true for all values of x.
Looking forward to seeing this improvement in your assignments next week.