Calculus - Differentiation from first principles (Defining the derivative of a function) and finding the derivative using the limit definition of the derivative Questions on differentiating powers of x from first principles. Increase in difficulty with a juicy proof at the end. Black and white version included for printing Answers are included in the form of my worked solutions QR code for a link to a video explanation 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

An activity to discover the properties of the graphs of sine and cosine. Print off the circle and horizontal axis for each student. Enlarge to A3 if you want to make a display afterwards. You just need to provide some spaghetti and glue. This is great for teaching trigonometry for angles greater than 90 and visualising the shape of the sine and cosine curves. My students particularly enjoy this one and hope yours do to. 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.

No prep lesson for factoring trinomials (quadratic expression) where a > 1. Power Point with accompanying warm up activity for expanding two parentheses and then two sets of Teacher and Student examples Worksheet with partly factored expressions, followed by factoring trinomials and finally applying knowledge with some problem solving, Worked solutions are 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.

Scavenger Hunt: Find the circumference of a circle given either the diameter or radius. All answers given to 1 decimal place 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.

Use this scavenger hunt to revise or reinforce understanding of finding the area of a circle. Equal number of questions where the radius or diameter is given. 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.

Solving quadratic inequalities by factoring and sketching their graphs PowerPoint with teacher and student examples (2 of each) Worksheet with increasing difficulty Worked solutions included QR Code for link to a video 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.

No Prep Lesson for solving quadratic equations in quadratic form (disguised quadratics) Power Point with two teacher examples and two for students to try. 28 quadratic equations of increasing difficulty, divided into 4 exercises Worked solutions 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.

Solve each of the quadratic equations using the quadratic formula, giving answers to two decimal places. 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.

Adding and Subtracting Negative Numbers Treasure Hunt 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.

Factorising quadratic expressions (coefficient is not 1) scavenger hunt 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.

Following on from finding the unit rate this lesson gets students to use the unit rate to find any amount Powerpoint with examples to teach the topic Worksheet of 30 real-life questions Scaffold sheet to support students struggling with the words. Key information and steps are shown. Each grid has less support. Worked solutions 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.

15 Long Multiplications to find the answer to “How does Frankenstein Get Around?” These are all 3 digit by 3 digit Students calculate the answers to the multiplications and arrange the letters next to each, in ascending order of answers. This will spell out the puzzle answer. Answers are 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.

Converting fractions to percentages. Varied degrees of difficulties involving denominators 4, 8, 10, 20, 25, 40, 100, 200, 400 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.

Percentages Treasure Hunt - Finding percentages of an amount. These involve more complex percentages such as 16%, 23%, 29% 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.

Percentages Scavenger Hunt - Finding percentages of an amount. These involve percentages that are multiples of 5, mainly 5%, 10%, 20%, 25% etc 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.

Negative indices no prep lesson Power point with examples worksheet with worked solutions

Use this Treasure / Scavenger Hunt to practice the chain rule by differentiating, trigonometric functions, logarithms and exponentials. 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

Application of differentiation to find equations of tangents and normals to curves. All curves are functions of the form ax^n. 8 questions are purely skills based on finding the equations. 4 questions on using the equation to solve other geometric problems 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.

30 questions on differentiating powers of x. These test the following key skills: Writing expressions in exponent form before differentiating Multiplying out expressions and using laws of exponents before differentiating Simplifying algebraic fractions and turning expressions into exponent form There are 10 questions on each skill Could be used over one lesson and complete for homework or use one lesson to practise each skill Worked solutions are included