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Differentiation - The Chain Rule no prep lesson
No Prep lesson for differentiating composite functions using the chain rule.
Activity to Expand, Differentiate and Factor to see the pattern of how the chain rule works
PowerPoint with examples for teachers and students to practice.
Worksheet using the chain rule for functions, followed by application to find tangents, normals and stationary points.
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.
Bundle
Functions Bundle
Functions and function notation bundle of no prep lessons which include:
Function notation - evaluating functions with numerical values and algebraic expressions
Domain and Range - exploring the domain and range of functions and determining which values may need to be excluded
Composite Functions - finding composite functions and solving equations
Inverse Functions - finding the inverse and solving problems involving inverse functions
Modulus Functions - Graphs and Equations
These all include worked solutions to accompany the worksheet. 2. to 4. also include a PowerPoint for teaching the topic
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.
Treasure Hunt - Circle Theorems
Looking for a fun and engaging way to help your students master circle theorems? Look no further than our Circle Theorem Treasure Hunt! This scavenger hunt features 20 challenging questions that will keep your students on their toes as they search for the answers.
Each question is designed to reinforce key concepts related to circle theorems. Your students will love the interactive nature of this scavenger hunt, which allows them to explore the concepts in a hands-on way.
As a teacher, you’ll appreciate the ease of use and flexibility of this scavenger hunt. The questions are designed to be used in any order, so you can easily customize the activity to suit your students’ needs. Plus, the scavenger hunt can be completed individually or in groups, making it a versatile addition to your teaching toolkit.
With this Circle Theorem Treasure Hunt, your students will be challenged, engaged, and excited to learn about circle theorems. So why wait? Add this fun and educational activity to your lesson plan today and watch your students’ understanding of circle theorems soar!
Simultaneous Equations 3 Lesson
No prep lesson for the third instalment of systems of linear equations - solving by elimination
Here a PowerPoint has two teacher examples and two similar ones for students to try. In each of these, both equations need to be multiplied by a positive integer so to eliminate a variable
The worksheet consists on 20 questions and worked solutions are included. If students are working in pairs, each student can attempt a different column of 10 questions and then they can mark each others work using the solutions.
*For consistency, in each example and solution, the second variable is eliminate first.
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.
Derivatives - differentiating powers of x Treasure Hunt
A good activity once the topic of differentiating powers of x has been introduced.
Instructions
Print off the twenty question pages and put them up around the room
Each question is in the centre 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
Depending on ability of the group this may take longer than 45 minutes. Good algebraic manipulation will determine the length of time needed.
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.
Calculus - Differentiating Exponents Worksheet
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
Percentages - Percentage of an amount 1 (easy) Treasure Hunt
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.
Factorising Quadratics when a is not 1
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.
Simultaneous Equations Treasure Hunt
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
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
Christmas Algebra Puzzles
12 grid puzzles with a Christmas Theme. In each one, the pictures represent different numbers and the totals of each row and column are given. Later ones require more problem solving and totals are needed to be found.
Implicit Differentiation
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.
Simplifying Algebraic Fractions Worksheet
5 differentiated exercises on simplifying algebraic fractions.
Worked solutions included and QR code for a link to a video.
Differentiation from First Principles
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
Multiplying Algebraic Fractions
Three differentiated exercises on multiplying algebraic fractions. Worked solutions are included.
Multiplying Algebraic Fractions Homework
Homework sheet consisting of 15 questions that increase in difficulty.
Work solutions are included
Differentiation - Optimisation
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.
Functions notation
Practice using function notation with numerical values and algebraic expressions
Worked solutions are included