PHILIP LLOYD has written hundreds of original resources and teaching guides for Mathematical topics in New Zealand High Schools. 
Teachers and students are free to download any of the following and share them with others.
Simply CLICK on any of the following topics.

   DIFFERENTIATION

1. Intro to calculus (PowerPoint)
2. Starting off Binomial Theorem
3. Introduction to CALCULUS
4. Continuity and Differentiability
5. Differentiability
6. Limits
7. Limits (answers)
8. Questions on continuity and differentiability (with answers)
9. Basic Differentiating
10. Basic Differentiating (answers)
11. The Chain Rule or function of a function differentiating
12. More on the Chain Rule
13. Proof of the formula for differentiating products
14. Proof of the formula for differentiating quotients
15. Derivative of y = 2^x
16. The reason why we like e^x (including 2 videos)
17. Derivative of y = ln(x) (including video)
18. Differentiating TRIG functions (including video)
19. Showing the derivative of sin is cos geometrically.
20. Summary of Differentiation Techniques
21. Introduction to Parametric Equations
22. Parametric Equations Exercise (with answers)
23. Implicit Differentiation Explained
24. Cubics which factorise as well as their derivatives
25. Sketching Polynomial Graphs
26. Sketching Polynomial Graphs ANSWERS
27. Maxima, Minima, Points of Inflection, Concavity
28. Basics of Concavity
29. Explanation of the 2nd Derivative Test (Poster)
30. Three Videos explaining Points of Inflection
31. Drawing graphs of simple gradient functions
32. Drawing graphs of simple gradient functions (answers)
33. Exam question on graphs of gradients
34. Teaching examples for finding where the gradient is zero
35. Finding where the gradient is zero
36. Finding where the gradient is zero (answers)
37. Simple max/min problems (with answers)
38. Practical Application of Calculus: The Ideal Box
39. The Ideal Can (Whiskas cat food)
40. The Ideal Can (General)
41. Three Types of CUBIC Graphs
42. Special Graph problems on Max/Min/Inflection
43. Calculus Problem
44. Minimum cost of a road across a swamp (with answer)
45. The Fastest Route
46. Vertical distance between curves
47. Excellence question on Concavity
48. Calculus, Circle Geometry and RUGBY KICKS
49. Minimum cost of a Flight
50. Calculus Excellence Question
51. A Harder Excellence Problem
52. Challenging Problem
53. Getting a long pole round a right angled corner
54. Teaching notes on Rate Of Change
55. Collection of Rate of Change problems
56. Collection of Related Rates problems
57. Collection of Related Rates problems (answers)
58. Tangent and Normal problems with answers
59. A Brief Study of ASYMPTOTES
​ 
INTEGRATION.

1. Quick ANTIDIFFERENTIATING
2. Quick ANTIDIFFERENTIATING (answers)
3. The Fundamental Theorem of Calculus
4. The Fundamental Theorem of Calculus (PowerPoint)
5. Basic Integration Techniques
6. Exam questions on Differential Equations 
7. Exam questions on Differential Equations (answers)
8. An interesting investigation
9. Areas UNDER the x axis
10. Areas between curves (theory)
11. Areas between curves (problems)
12. Expert problem
13. Excellence problem
14. Three excellence integrals (with answers)
15. Two excellence questions on areas between curves
16. How does Integration by substitution work?
17. Types of substitutions (with answers)
18. Some odd integrals
19. Approximate integration
20. Approximate integration problems (with answers)
21. Fundamental Differential Equations 
22. Merit and Excellence Differential Equations (with answers)
23. Compound Interest
24. New Alcohol Limit
25. Smoking one joint
26. Drug taken with a "half-life" of 8 hours
27. Some athletes abuse the human growth hormone
28. You are a forensic scientist working for the police
29. Radioactive Decay
30. Finding the equation of a curve when the gradient = ky^2
​31. Radioactive substance decaying to a safe level
32. A Cake cooling straight from the oven
33. A cup of coffee cooling
34. A big pot of soup cooling
45. A General Proof question
46. The Force of water on a Dam
37. Some exam questions 
38. Some exam questions (answers)

REAL and COMPLEX NUMBERS

1. Types of REAL Numbers
2. Dealing with SURDS
3. Special SURD Equations (with answers)
4. A nice surd equation
5. The Special Triangles (and VIDEO)
6. Quick summary of important basics
7. Hard question on Surd Equations
8. The FACTOR Theorem Explained
9. The REMAINDER Theorem Explained
10. Problems on Factor and Remainder theorems (with answers)
11. Advanced problems on the Remainder theorem with answers
12. A surd equation with no valid solutions
13. Understanding LOGARITHMS
14. Understanding logarithmic PROOFS
15. Index equations and Log equations (with answers)
16. Teach Yourself "Roots of Quadratics"
17. Basic summary of Quadratic Equations
18. Quadratic Theory in brief
19. Investigating what the "discriminant" means
20. Applying the discriminant to intersecting graphs
21. Essential quadratic theory (with answers)
22, Problems on quadratic theory (with answers)
23. Two tricky points using the discriminant
24. Quadratic equations in Disguise
25. Roots of quadratics and coefficients of the equation
26. Roots of quadratics
27. DO YOU BELIEVE IN i ?
28. DIVISION of fractions, irrationals and complex numbers
29. Solutions of polynomial equations (with answers)
30. Rectangular and Polar Form of Complex Numbers
31. De Moivre's discovery
32. Solving equations of the form z^n = a + ib
33. Special summary of equations z^n = a + ib
34. PowerPoint for solving equations z^n = a + ib
35. Real and Imaginary Parts
36. Have you seen this addressed in any other text?
37. Use of the square root sign
38. "Phantom graphs" applied to complex roots of equations
39. Unusual proof from an exam paper
40. Starting off Binomial Expansions
41. Binomial Expansions
42. Combining De Moivre's Theorem and Binomial Expansions
43. Excellence question on complex numbers
44. Hard complex number question

ESSENTIAL TRIGONOMETRY TOPICS 
1. Angle Measurement
2. Proofs of formulae
3. Working with Degrees v Radians
4. The Trigometer for understanding trig for angles > 90 degrees
5a. PowerPoint for the Trigometer
5b Click on this for a video presentation of the Trigometer
     http://screencast.com/t/iQeIn5VFtr2
6. Solving basic trig equations
7. Trig Equations (with answers)
8. Summary of essential trig

The following is a collection of Assignments with full detailed solutions which can be used as a course summary to prepare for assessments.

1. Simplifying Surds
2. Surd Equations
3. Factor and Remainder Theorems
4. Differentiation
5. General summary
6. Index equations and log equations
7. Differentiating Trig functions 
8. Parametric Differentiation
9. General Summary
10. Quadratics, Surds, Complex Numbers
11. Complex Numbers
12. Maxima and Minima Problems
13. Maxima, Minima, Points of inflection, Concavity
14. Tangents, Normals and Rate of change
15. Integrals
16. Integration by substitution
17. Numerical Integration
18. Differential Equations 1
19. Differential Equations 2

The following is a collection of PRACTICE EXAMINATIONS with full detailed solutions which can be used to prepare for Examinations.

PRACTICE EXAMINATION NUMBER 1
PRACTICE EXAMINATION NUMBER 1 SCHEDULE
PRACTICE EXAMINATION NUMBER 2
PRACTICE EXAMINATION NUMBER 2 SCHEDULE
PRACTICE EXAMINATION NUMBER 3
PRACTICE EXAMINATION NUMBER 3 SCHEDULE
PRACTICE EXAMINATION NUMBER 4
PRACTICE EXAMINATION NUMBER 4 SCHEDULE

You are free to use any of my resources and share them with others. 
 
PHILIP LLOYD
(SPECIALIST CALCULUS TEACHER, BAROQUE TRUMPET SOLOIST and MOTIVATOR) 
e-mail philiplloyd1@gmail.com

See my other web sites:
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

Enthusiasm is the key to success in every activity!

Also have a look at...
https://www.quora.com/profile/Philip-Lloyd-2