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Mathematics
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
Introduction to Integration Lesson
This calculus lesson introducing integration with the power rule
A lesson practising introducing integration as a reverse of differentiation.
PowerPoint encourages students to devise the general rule for powers
36 questions of increasing difficulty
Simplification of rational expressions required in later questions.
Worked solutions are included
Black and white and color versions included
LICENSING TERMS: This purchase includes a license for one teacher only for personal use in their classroom. Licenses are non-transferable, meaning they cannot be passed from one teacher to another. No part of this resource is to be shared with colleagues or used by an entire grade level, school, or district without purchasing the proper number of licenses.
COPYRIGHT TERMS: This resource may not be uploaded to the internet in any form, including classroom/personal websites or network drives, unless the site is password protected and can only be accessed by students.
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
Integration - Finding the Equation of a Curve
This lesson on an application of integration where students are required to find the equation of the function, given its derivative. (Power rule only)
A lesson using integration to find the equation of a curve when you are given the gradient and an initial value
A single PowerPoint slide with a worked example
17 questions of increasing difficulty
Worked solutions are included
Black and white and colour versions included
LICENSING TERMS: This purchase includes a license for one teacher only for personal use in their classroom. Licenses are non-transferable, meaning they cannot be passed from one teacher to another. No part of this resource is to be shared with colleagues or used by an entire grade level, school, or district without purchasing the proper number of licenses.
COPYRIGHT TERMS: This resource may not be uploaded to the internet in any form, including classroom/personal websites or network drives, unless the site is password protected and can only be accessed by students.
Simplifying Surds (Radicals) Treasure Hunt
Fun activity to get students moving around the classroom while simplifying surds
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.
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
LICENSING TERMS: This purchase includes a license for one teacher only for personal use in their classroom. Licenses are non-transferable, meaning they cannot be passed from one teacher to another. No part of this resource is to be shared with colleagues or used by an entire grade level, school, or district without purchasing the proper number of licenses.
COPYRIGHT TERMS: This resource may not be uploaded to the internet in any form, including classroom/personal websites or network drives, unless the site is password protected and can only be accessed by students.