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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
Statistics - Median and Interquartile Range
Finding the median, quartiles and interquartile range from a list of data.
PowerPoint with examples for odd and even numbers of data
Worksheet on finding the median and interquartile range from data lists. Comparing data using medians and interquartile ranges
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 Puzzles
Set up systems of linear equations to solve this algebra puzzles.
The pictures in each row or column add up to the numbers shown.
Write pairs of linear equations where possible. Solve them to find the value of each picture.
Find the value of the remaining pictures and the missing totals.
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 Simultaneous Equations Graphically
Draw pairs of linear equations on a graph to find the solution. Templates are included for students to draw them without having to draw their own axes. There are 14 pairs of linear equation to solve with 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.
Polar Coordinates Graph match
Match the 14 equations in polar form to their graphs. Graphs are drawn on polar grids.
Answers are included.
Cut out the graphs and the equations and give to students who can work in pairs.
Get them to match the graphs and equations then stick them on large sugar paper.
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.
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
Simplifying Algebraic Fractions Homework
15 homework questions on simplifying algebraic fractions with worked answers included. Questions increase in difficulty and factorising the expressions is key.
Introduction to Pythagoras
Activities involving constructing proofs for Pythagoras Theorem
Geometry - Pythagoras - Distance between points - no prep
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
Dividing Algebraic Fractions worksheet
25 questions on dividing algebraic fractions.
Questions increase in difficulty and practice factoring quadratic expressions.
Worked solutions are included and a QR Code link to a video explanation which supports home learning
Adding and Subtracting Algebraic Fractions Worksheet
4 exercises of 8 questions on adding and subtracting fractions.
Each exercise increases in difficulty.
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.
Algebra - Collecting Like Terms
Lesson on collecting like terms includes a Power Point, worksheet and solutions.
Two slides with 3 examples on each on collecting like terms. 50 questions which include some problem solving/ link to perimeter of compound shapes. Worked solutions are 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.
Graphing Inequalities on a Number Line
Graphing Inequalities on a number line
A Power point showing the examples
Worksheet on graphing inequalities and also reading them off a graph
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.
Graphs of Polynomials
12 graphs of polynomials - quadratic, cubic and quartic.
These must be matched to a statement about number of roots (real or complex), the points where the graphs cross the coordinate axes and their equation.
The extension is to find the complex roots.
Get students to cut these out and stick them on a larger piece of paper.
Binomial Expansion
2 Worksheets
Questions on using Pascal’s Triangle for the binomial expansion.
Questions lead students to discover the link and then use their answers to expand
more complex binomials.
This also addresses using the binomial expansion to calculate positive exponents of
decimals.
Using nCr function to generate coefficients and find particular coefficients in
expansions for larger values of n
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.
Area of a Triangle
Calculating the area of a triangle no prep lesson
A Power Point introducing the formula with examples.
Worksheet finding areas, using areas to find missing lengths, compound areas
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.
Multiplying Decimals Worksheet
Multiplying decimals with increasing difficulty
6 exercises with 10 questions each plus a problem solving exercise.
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.