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Math
Integrating Powers of x Treasure Hunt
Use this Treasure Hunt after introducing the reverse of differentiation.
These are all definite integrals for powers of x. Some questions need to be rewritten in exponent form and others require some simple algebraic manipulation first.
Instructions
Print off the twenty question pages and put them up around the room
Each question is in the middle of the page and the solution is at the top of another page.
Answers are correct to two decimal places where appropriate
A student begins on a given question, solves it and finds the answer on another sheet. The question on this sheet will be the next question they answer. Once they have answered all twenty, they will return to their starting question
Depending on numbers, students can all start on different questions
There is a student answer sheet included plus the correct sequence
Product and Quotient Rules
Differentiating using the product and quotient rules. Follows on from the chain rule and only looks at expressions involving powers of x. I always teach this before I move on to differentiating trigonometric functions, logs and exponentials so I can include more complex expressions.
There are 20 questions which are quite meaty which could be split over two lessons, one for product and one for quotient. There are questions on finding equations of normals and tangents at the end.
Worked solutions are included and also a black and white version
Differentiation to find local max/min
A worksheet using the first and second derivatives to find stationary points. Mainly maximum and minimum but does have a couple of examples of stationary points of inflection. All curves are functions involving powers of x.
*Points of inflection will be looked at in more detail in an upcoming shapes of curves worksheet/activity.
Answers are included as detailed work solutions. Black and White version included
Bundle
Differentiation and Integration Bundle
Differentiating powers of x, trig functions, applications of differentiation and integration.
These are in the form of treasure hunts or worksheet with worked solutions included
Appropriate for 2017 A-Level Specs