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

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.

Worksheet on implicit differentiation Include questions on finding gradients, the equations of tangents and normals and finding stationary points. Worked solutions included for ease with marking and/or sharing with students.

Calculus - Differentiation from first principles Questions on differentiating powers of x from first principles. Increase in difficulty with a juicy proof at the end. Answers are included in the form of my worked solutions

Three differentiated exercises on multiplying algebraic fractions. Worked solutions are included.

Homework sheet consisting of 15 questions that increase in difficulty. Work solutions are included

Place the 20 questions around the room. Students can start on different ones. They will find the answer on top of another question sheet. They move around the room finally returning to the question they started with. An answer key is included for easy assessment

Questions and answers on differentiating trigonometric functions including sin x, cos x, tan x, sec x, cosec x and cot x.

15 homework questions on simplifying algebraic fractions with worked answers included. Questions increase in difficulty and factorising the expressions is key.

Activities involving constructing proofs for Pythagoras Theorem

Use this Treasure / Scavenger Hunt after teaching finding missing side lengths using trigonometry. I have included all three trigonometric ratios (sine, cosine and tangent). There are a mixture of difficulty. The are questions on finding opposite, adjacent and hypotenuse so in some cases students will need to divide by the trigonometric ratio. 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

Lesson with power point, worksheet, answers and a maze for finding the hypotenuse using Pythagoras

Lesson with Power Point, worksheet with answers and an activity with equilateral triangles

Pi Day - A selection of ideas and resources for competitions of March 14 (Pi Day)

Finding distances between points in all four quadrants of the x-y plane Worked solutions are included and a Power Point to help teach it

Questions on applications of Pythagoras in Real Life. Worked solutions included

20 questions to put around the room on multiplying algebraic fractions. Factorising and simplifying are key skills required

5 problem solving questions using the formulae for the nth term of an Arithmetic sequence and the sum of the first n terms of an Arithmetic series. This can be done as a worksheet in class or as an extension homework Solutions are included

Calculus worksheet and worked solutions are included. This uses finding derivatives of functions to find maximum and minimum points in the context of practical problems. For example, a manufacturer wants a cardboard box to have volume of 500 cm^3 but wants to minimise the amount of cardboard used.