Simply CLICK on any of the following titles.



ALGEBRA TOPICS:

LINEAR EQUATIONS AND INEQUALITIES:
1. Solving linear equations and inequalities.
1a. Solving inequalities  
2. Advanced Algebra 
3. Some Word Problems
4. Excellence question on "time taken" 
4a Expert equation on "time taken"
4b Another expert question.
5. Essential Linear Equations
6. The Tile Cutter's Problem
7a Algebraic Fractions 
7b Video on fractions https://www.screencast.com/t/M7xGpIfQz
 


BASIC LINEAR GRAPHS AND PIECE-WISE GRAPHS:
1.   Step graphs
2. "Pieces of Graphs"
3a Piecewise Graphs
3b Piecewise Graphs Solutions
4a The telephone company (assessment)
4b The telephone company SOLUTIONS.


QUADRATIC THEORY:
1a  Some advanced factorising
1b  Millionaire Hotseat (PPT) on factorising 
2a Some word problems (involving quadratics)
2b Some word problems SOLUTIONS
3.  More word problems with answers
4a Expert problems on quadratics (ver 1)
4b Expert problems on quadratics (ver 2)
4c Discriminant at a glance
5a Summary of Quadratic Theory
5b Summary of Quadratic Theory SOLUTIONS
6.  Quadratic Theory IN BRIEF
7a Algebra Assessment
7b Algebra Assessment Solutions
8.  Quadratics with roots alpha and beta

COORDINATE GEOMETRY:
1a Some essential skills
1b Some essential skills (ANSWERS)
1c Essentials for achievement
1d Essentials for achievement (ANSWERS)
1e Coord. Geom. Task
1f  Coord. Geom Task (ANSWERS)
2a MEDIANS A 
2b MEDIANS B
2c MEDIANS C
2d MEDIANS C (answers)
3a ALTITUDES 
3b MEDIATORS
3c MEDIANS and MEDIATORS 
4.  Laser problem
5a Coord. Geom. PROOFS
5b Coord. Geom. Proofs (ANSWERS)
6a Centres of a Triangle Ver 1
6b Centres of a Triangle Ver 1 (ANSWERS)
6c Video https://www.screencast.com/t/OzOoH2SotIfB
7a Centres of a Triangle Ver 2
7b Centres of a Triangle Ver 2 (ANSWERS)
8.  Practising the essentials.
9a  General practice.
9b  General practice (answers)
10. The distance of a point from a line.
 

INDICES and LOGARITHMS: 
1a  Teaching notes on INDICES
1b  See video on INDICES         https://youtu.be/rG2io0ht_EE
2.  Fundamentals of Indices
3a Understanding LOGARITHMS
3b Understanding Logarithms (ANSWERS)
4a Indices and Log Questions
4b Indices and Log Questions (ANSWERS)


SIMPLE TREATMENT OF SERIES:
1. The essential ideas.

GENERAL GRAPHS:
1.   Basic polynomial graphs
2a Mixed graphs
2b Mixed graphs (answers)
3a Finding equations of graphs y = bx(x - c)
3b Finding equations of graphs y = bx(x - c) (answers)
4a Practice at finding graph equations
4b Practice at finding graph equations (solutions)
5a Finding equation and domain.
5b Finding equation and domain. (answers)
6.  The Modulus Function
7a Transformations of graphs  
7b Transformations of graphs (answers)
8.   SINE graphs 
9.   COSINE graphs
10. Changing the period of trig graphs
11.  Graphs in the form y = a + bsin(cx)  
12.  Trig graphs and PROBLEMS 
13.  Summary of Graph Techniques
14.  Summary of Graph Techniques (answers)

INTERSECTIONS OF LINES WITH VARIOUS CURVES:
1. Intersections of graphs
2. Intersections of graphs (answers)
3. Further intersections + answers
4. The Waihopai SPY BASE
5 Leading to excellence
6 Towards excellence  
7  The Norfolk Pine Tree 
8  Three Investigations
9  Essential Techniques 
10. Excellence Practice. 

 

CALCULUS TOPICS:

DIFFERENTIATION:
1a A short introduction to Calculus
1b Introduction PowerPoint
1c video https://youtu.be/Gpv7dAXnfsE
2a Simple derivatives
2b Simple derivatives (answers)
3. Testing if two graphs are joined smoothly.
4a Sketching polynomial graphs
4b Sketching polynomial graphs (answers)
5a Finding where the gradient is ZERO
5b Finding where the gradient is ZERO (answers)
6a Maximum problems in realistic contexts
6b Maximum problems in realistic contexts (answers)
7a Useful teaching examples for finding max/min
7b Useful teaching examples (answers)
8a A farmer wants a big enclosure
8b A farmer wants a big enclosure (answers)
9a Max/Min Problems SIMPLIFIED
9b Max/Min Problems ADVANCED
10a Academic type questions
10b Academic type questions (answers)
11.  TEACHING NOTES ON RATES OF CHANGE.
12. Rate of Change Problems
13a Velocity and Acceleration Problems
13b Velocity and Acceleration Problems (answers)
14. Assignment on Rate of Change
15. The 2nd Derivative Test simply explained.
16. An Excellence Problem.


ANTI-DIFFERENTIATION:
1. Differential equations and gradient graphs (BOOKLET)
2a Drawing gradient graphs of piecewise functions.
2b Gradient graphs of piecewise functions (answers)
3a Antidifferentiation Problems.
3b Antidifferentiation Problems. (answers) 
4. Describing the motion of an object.
5. Rate, Velocity and acceleration problems.
6a Summary of Calculus
6b Summary of Calculus (Answers)
​7a Following instructions
​7b Following instructions (Answers)
​8a Finding the equation of a graph
​8b Finding the equation of a graph (answers)

​EXAM PREPARATION
​1a ACHIEVEMENT LEVEL PRACTICE A
​1b ACHIEVEMENT LEVEL PRACTICE A   ANSWERS​
2a ACHIEVEMENT LEVEL PRACTICE B
​2b ACHIEVEMENT LEVEL PRACTICE B   ANSWERS
​4a MERIT LEVEL PRACTICE A 
4b MERIT LEVEL PRACTICE A   ANSWERS
5a MERIT LEVEL PRACTICE B 
5b MERIT LEVEL PRACTICE B   ANSWERS 
6a EXCELLENCE LEVEL A 
6b EXCELLENCE LEVEL A  ANSWERS
7a EXCELLENCE LEVEL B 
7b EXCELLENCE LEVEL B ANSWERS
8a ACHIEVEMENT QUESTIONS ON A TYPICAL NCEA PAPER (A)
8b ACHIEVEMENT QUESTIONS ON A TYPICAL NCEA PAPER ANSWERS
9a ACHIEVEMENT QUESTIONS ON A TYPICAL NCEA PAPER (B)
9b ACHIEVEMENT QUESTIONS ON A TYPICAL NCEA PAPER ANSWERS
10a MERIT QUESTIONS ON A TYPICAL NCEA PAPER (A)
10b MERIT QUESTIONS ON A TYPICAL NCEA PAPER ANSWERS
11a MERIT QUESTIONS ON A TYPICAL NCEA PAPER (B)
11b MERIT QUESTIONS ON A TYPICAL NCEA PAPER ANSWERS
12a REFRESHING YOUR BASIC KNOWLEDGE OF CALCULUS 
​12b REFRESHING YOUR BASIC KNOWLEDGE OF CALCULUS   ANSWERS
13a ALGEBRA PARALLEL QUESTIONS FROM THE  NCEA EXAM ALGEBRA
13b ALGEBRA PARALLEL QUESTIONS FROM THE  NCEA EXAM ANSWERS 
14a ALGEBRA PARALLEL QUESTIONS FROM THE NCEA EXAM  ALGEBRA
14b ALGEBRA PARALLEL QUESTIONS FROM THE NCEA EXAM ANSWERS
15a ALGEBRA PARALLEL QUESTIONS   version 2
15b Algebra parallel questions version 2 ANSWERS.
16a Excellence Revision
16b EXCELLENCE REVISION  ANSWERS 
17a PARALLEL CALCULUS QUESTIONS FROM  NCEA EXAMS 
17b parallel calculus questions from NCEA papers ANSWERS

CONTACT  PHILIP LLOYD (SPECIALIST CALCULUS TEACHER) by email      
philiplloyd1@gmail.com
IF YOU DECIDE TO USE ANY OF MY RESOURCES I WOULD BE PLEASED IF YOU COULD SEND ME AN EMAIL.
See web sites:
http://www.linkedin.com/pub/philip-lloyd/2a/787/7a0
http://www.phantomgraphs.weebly.com
http://www.intersectingplanes.weebly.com
http://trigometer.weebly.com
http://mathematicalgems.weebly.com
http://knowingisnotunderstanding.weebly.com
http://calculusresources.weebly.com 
http://algebra-and-calculus-resources-year12.weebly.com
http://liveperformances.weebly.com/
http://www.motivational-and-inspirational-sayings.weebly.com
http://motivation-and-self-esteem-cycles.weebly.com
 

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