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

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

Find lengths in 3D shapes such as cuboids and square based pyramids. Power Point, worksheet with worked solutions included

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

Treasure Hunt with a mixture of finding the shorter side or the hypotenuse

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

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

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

Treasure hunt for linear simultaneous equations. Not all answers are nice whole positive numbers. There is a mixture of negatives and improper fractions. 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

Mixture of using the sine rule to find angles and sides in non-right angled triangles 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 one decimal place 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

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

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

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

Worksheet on differentiating inverse trigonometric functions. Includes a worked example on differentiating arcsin x and then students can show how to get the results for arccos x and arctan x. Questions then rely on using the chain rule and product rule and increase in difficulty. Worked solutions are included for ease with marking or to give students to review their own work. Black and White version also 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.

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

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

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 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.