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Arithmetic Sequences and Series
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
Functions notation
Practice using function notation with numerical values and algebraic expressions
Worked solutions are included
Differentiating logarithms and exponentials - Treasure Hunt
Use this Treasure / Scavenger Hunt to practice differentiating logarithms and exponentials. Also practices the product rule, quotient rule, chain rule and rules of logarithms
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
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.
Geometry - Making Nets
Two worksheets on Nets
Activity
Cut out and make 3D shapes with this Nets exercise.
Draw on tabs and then cut out the shapes.
Glue them and make the 3D shape
Constructing nets
A series of solids are shown and students must make accurate nets of these shapes
Once they have done, why not get them to decorate and then make into their solids
Free - Trigonometric Graphs Activity
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.
Algebra - Changing the Subject - Rearranging Formulae
4 differentiated exercise on changing the subject - rated from 1 banana (easiest) to 4 bananas (very challenging)
Worked solutions are included
Trigonometry - Sine, Cosine and Tangent
Using sine, cosine and tangent functions with right angled triangles. This resource gets students to recognise the hypotenuse, opposite and adjacent sides. This also get students practising using the calculator to use both the trig functions and their inverses.
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.
Simultaneous Equations (Elimination) Mixed Practice
A worksheet on solving systems of linear equations using elimination methods.
Also includes questions where the system is inconsistent.
A good review exercise or homework task
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.
Sum of an Arithmetic Series
Worksheet on finding the sum of an Arithmetic Series.
Finding simple sums to applications in context.
Solutions are included
Geometry - Pythagoras in Context
Questions on applications of Pythagoras in Real Life. Worked solutions included
Arithmetic Sequences
Worksheet on arithmetic sequences beginning with finding the next term, the nth term and finding the first term and common differences.
There are some word problems as well.
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.
Dividing Algebraic Fractions Homework Sheet
Dividing Algebraic Fractions homework task with worked solutions included
10 questions, should take about 30 minutes
Area of a Parallelogram
Worksheet for finding the area of a parallelogram and working backwards to find the height or base.
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.
Calculus - Differentiation - Equations of tangents and normals
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.
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
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.
Differentiating Trigonometric Functions
Questions and answers on differentiating trigonometric functions including sin x, cos x, tan x, sec x, cosec x and cot x.
Differentiating Inverse Trig Functions
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.
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