SpatialMaths.com
  • Home
    • Junior Cycle Mock survey 2020
    • Spatial Quiz 2
  • Resources
    • Coordinate Geometry >
      • Coordinate plane
      • Midpoint
      • Distance
      • Slope
      • Lines
  • About & Contact
    • Research
  • Lesson Planning Tool

April 28th, 2015

4/28/2015

0 Comments

 
Today we continued with applications of Differentiation.
With Ms McGuinness for the next few days.
p.1_2012_q.8_a-c.pdf
File Size: 373 kb
File Type: pdf
Download File

p.1_sample_a_q.9.pdf
File Size: 696 kb
File Type: pdf
Download File

Picture
2012 Sample Paper 1 Q.9 a
0 Comments

April 27th, 2015

4/27/2015

0 Comments

 
Today we considered:
  • Max, min and points of inflection
  • Slope of tangent to circle
  • Applications of differentiation

HW: Paper 1:
  • p.96 Sample A Q.9
  •  p.34 2014 Sample Q.9 c
  • p.64 2012 Q.8
Picture
Related rates of change
Picture
Applications of differentiation
Picture
Tangent to a circle using implicit differentiation
Picture
0 Comments

April 24th, 2015

4/24/2015

0 Comments

 
Revising Differentiation
differerentiation_revision_worksheet.pdf
File Size: 994 kb
File Type: pdf
Download File

differentiation_revision_solutions.pdf
File Size: 1127 kb
File Type: pdf
Download File

0 Comments

April 24th, 2015

4/24/2015

0 Comments

 

Requested solution

Picture
0 Comments

April 23rd, 2015

4/23/2015

0 Comments

 
Today we looked over yesterdays notes on functions and differentiation. We then looked at the Differentiation questions on the revision page of the website. We spent time exploring the ideas of: a limit, asymptotes, continuity. 

HW: Try the differentiation questions below. (Solutions on Differentiation page)
Picture
Functions (Including continuity)
Differentiation
0 Comments

April 22nd, 2015

4/22/2015

0 Comments

 
Today we looked at:
  • Functions
  • Graphing functions
  • Using the calculator to get the equation of a quadratic function given 3 points (note this could be also used to get the expression for a quadratic sequence)
  • Injective, surjective and bijective functions
  • The inverse of a function
  • Graphs of derivatives
  • Slope function
  • Positive & negative slopes
  • Differentiation from 1st principles
Functions
functions_revision_22-4-2015.pdf
File Size: 599 kb
File Type: pdf
Download File

0 Comments

April 21st, 2015

4/21/2015

0 Comments

 
Today we completed our look at  proofs and constructions that must be known:

1. Derive formula for sum of geometric series

Picture

2. Prove root 2 is not rational

Picture

3. Construct root 2 and root 3

4. Derive the Amortisation Formula

Deriving the Amortisation Formula

5. Proof by Induction

Linked here are the solutions to last nights HW on Proof by Induction
Proof by Induction
0 Comments

April 20th, 2015

4/20/2015

0 Comments

 
Today we referred to things that must be learned off for the LC maths exam.

Paper 1
  • Proof of by Induction (i) Sums (ii) Factors (iii) Inequalities and (iv) deMoivre's Theorem
  • Derive Amortisation formula
  • Derive sum of infinite geometric series formula
  • Prove root 2 is not rational
  • Construct root 2 and root 3
  • Differentiate Linear and Quadratic Functions from 1st Principles
  • Define Injective, surjective and bijective functions

Paper 2
  • Define geometry terms: Theorem, proof, axiom, corollary, implies, converse, is equivalent to, if and only if, proof by contradiction
  • Prove theorems 11, 12 and 13
  • Derive trigonometric formulae 1-7 and 9
  • Constructions 16-22
  • Define sample types: Simple random, stratified, cluster and quota

HW: Learn Definitions and terms below
Try Proof by induction questions (linked right)
Prove by Induction Questions
Picture
0 Comments

April 17th, 2015

4/17/2015

0 Comments

 
Students at talk.
0 Comments

April 16th, 2015

4/16/2015

0 Comments

 
t&t4_5.4_sum,_difference,_product_formulae_16-4-2015.pdf
File Size: 587 kb
File Type: pdf
Download File

t&t4_5.5_inverse_trig_functions_16-4-2014.pdf
File Size: 485 kb
File Type: pdf
Download File

Picture
0 Comments
<<Previous

    RSS Feed

    Mr Roche

    Coláiste Bríde

    Archives

    June 2015
    May 2015
    April 2015
    March 2015
    February 2015
    January 2015
    December 2014
    November 2014
    October 2014
    September 2014
    August 2014
    July 2014
    June 2014
    May 2014
    April 2014
    March 2014
    February 2014
    January 2014
    December 2013
    November 2013
    October 2013
    September 2013
    August 2013

Powered by Create your own unique website with customizable templates.