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Algebraic proof (GCSE)
This well thought out booklet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to more challenging questions that get them thinking.
Under the hood
Proving statements algebraically involving even and odd numbers
Providing statements algebraically involving consecutive numbers
Harder proofs involving sums and differences of square numbers, consecutive square numbers, showing expressions are multiples of numbers etc
Full comprehensive answers detailing each step in the proof
Thorough, comprehensive, and carefully designed to boost confidence and grades.
Not completely convinced? Download a free preview of the sheet here.
https://www.tes.com/teaching-resource/resource-12400165
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Histograms
This well thought out booklet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to challenging extension questions that really get them thinking.
Under the hood
Finding the frequency from a histogram - i.e., calculating areas
Estimating using a histogram
Drawing a histogram
Estimating the median and quartiles from a histogram
Thorough, comprehensive, and carefully designed to boost confidence and grades.
Answers included
Not completely convinced? Download a free preview of the sheet here.
https://www.tes.com/teaching-resource/resource-12367696
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Functional graphs
This well thought out booklet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to challenging extension questions that really get them thinking.
Under the hood
Function notation
Reading values off functional graphs
Roots of functional graphs
Transformations of functional graphs - including image of the vertices
Thorough, comprehensive, and carefully designed to boost confidence and grades.
Answers included
Not completely convinced? Download a free preview of the sheet here.
https://www.tes.com/teaching-resource/resource-12366471
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Gradients of curves
This well thought out booklet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to challenging extension questions that really get them thinking.
Under the hood
Estimating the gradients by drawing tangents at points
Calculating the average gradient between two points
Gradients at minimum and maximum points
Thorough, comprehensive, and carefully designed to boost confidence and grades.
Answers included
Not completely convinced? Download a free preview of the sheet here.
https://www.tes.com/teaching-resource/resource-12367273
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Cones
This well thought out worksheet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to challenging extension questions that really get them thinking.
Under the hood
Finding the volume of a cone
Finding the surface area of a cone
Working backwards to find missing dimensions
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
Answers included
Not completely convinced? Download a free preview of the sheet here.
https://www.tes.com/teaching-resource/resource-12361960
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Combining ratios
This well thought out booklet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to challenging extension questions that really get them thinking.
Under the hood
Combining two or more ratios
Worded questions involving combining ratios
Sharing in a combined ratio
Probabilities and ratios
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
Answers included
Not completely convinced? Download a free preview of the sheet here.
https://www.tes.com/teaching-resource/resource-12361943
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Area under a graph
This well thought out booklet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to challenging extension questions that really get them thinking.
Under the hood
Finding the area underneath straight line graphs by drawing a trapezium
Estimating the area underneath curves by drawing a trapezium
Finding better estimates of the area by drawing more trapeziums
Determining whether the answers are overestimates or underestimates.
Thorough, comprehensive, and carefully designed to boost confidence and grades.
Answers included
Not completely convinced? Download a free preview of the sheet here.
https://www.tes.com/teaching-resource/resource-12361840
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
Enlargement - Area and volume
This well thought out booklet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to challenging extension questions that really get them thinking.
Under the hood
Enlargement using the area scale factor
Enlargement using the volume scale factor
Finding missing lengths when given the areas (or volumes) of similar shapes
Harder questions that involve combining volume and surface area
Thorough, comprehensive, and carefully designed to boost confidence and grades.
Answers included
Not completely convinced? Download a free preview of the sheet here.
https://www.tes.com/teaching-resource/resource-12363431
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Tree diagrams
This well thought out booklet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to more challenging questions that get them thinking.
Under the hood
Intro examples completing an already drawn tree diagram
Using tree diagrams to calculate probabilities with replacement
Using tree diagrams to calculate probabilities without replacement
Drawing a tree diagram
Challenging examples involving finding probabilities of “at least one” success and tree diagrams with 3 branches/3 trials.
Thorough, comprehensive, and carefully designed to boost confidence and grades.
Answers included
Not completely convinced? Download a free preview of the sheet here.
https://www.tes.com/teaching-resource/resource-12482181
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Simultaneous equations - Elimination
This well thought out worksheet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to more challenging questions that get them thinking.
Under the hood
Simultaneous equations that don’t need multiplying before eliminating
Examples where one equation will need multiplying before eliminating
Examples where both equations will need multiplying before eliminating
Examples with negatives where it’s easier to eliminate by adding
Worded examples where the simultaneous equations must be formed before solving
Thorough, comprehensive, and carefully designed to boost confidence and grades.
Answers included
Not completely convinced? Download a free preview of the sheet here.
https://www.tes.com/teaching-resource/resource-12420567
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Speed, distance and time
This well thought out worksheet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to more challenging questions that get them thinking.
Under the hood
Calculating speed
Calculating distance
Calculating time
Harder questions involving converting time into the required unit of measurement
Thorough, comprehensive, and carefully designed to boost confidence and grades.
Answers included
Not completely convinced? Download a free preview of the sheet here.
https://www.tes.com/teaching-resource/resource-12480772
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Trigonometry (SOH CAH TOA)
This well thought out worksheet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to more challenging questions that get them thinking.
Under the hood
Using SOHCAHTOA to find missing sides of right angled triangles
Using inverse sin, cos and tan to find missing angles
Challenging examples involving those where the missing side is the denominator (e.g., finding the hypotenuse using sine), combining trig with angles in parallel lines, and finding the vertical height of isosceles triangles.
Thorough, comprehensive, and carefully designed to boost confidence and grades.
Answers included
Not completely convinced? Download a free preview of the sheet here.
https://www.tes.com/teaching-resource/resource-12482186
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Representing data
This well thought out booklet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to more challenging questions that get them thinking.
Under the hood
Bar charts (and dual bar charts)
Pictograms
Vertical line charts
Time series graphs
Interpreting data on the above charts/graphs
Thorough, comprehensive, and carefully designed to boost confidence and grades.
Answers included
Not completely convinced? Download a free preview of the sheet here.
https://www.tes.com/teaching-resource/resource-12412780
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Scatter graphs
This well thought out worksheet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to more challenging questions that get them thinking.
Under the hood
Describing correlation and drawing lines of best fit
Using the line of best fit to estimate values (interpolation and extrapolation)
Outliers
Thorough, comprehensive, and carefully designed to boost confidence and grades.
Answers included
Not completely convinced? Download a free preview of the sheet here.
https://www.tes.com/teaching-resource/resource-12418865
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Pythagoras' theorem
This well thought out booklet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to more challenging questions that get them thinking.
Under the hood
Using Pythagoras’ theorem to find the hypotenuse
Using Pythagoras’ theorem to find the shorter sides
Harder examples when the triangle has been rotated
Challenge questions involving finding perimeters of compound shapes with triangles.
Thorough, comprehensive, and carefully designed to boost confidence and grades.
Answers included
Not completely convinced? Download a free preview of the sheet here.
https://www.tes.com/teaching-resource/resource-12400188
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Probability AND/OR rules
This well thought out worksheet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to more challenging questions that get them thinking.
Under the hood
Calculating AND/OR probabilities without using a tree diagram
Conditional probabilities
Fiddly worded examples where the initial (incorrect) reaction is to simply add the probabilities - E.g., Probability it will rain on Sunday is 0.2 and 0.3 on Monday. What is the probability it will rain on at least one of those days.
Thorough, comprehensive, and carefully designed to boost confidence and grades.
Answers included
Not completely convinced? Download a free preview of the sheet here.
https://www.tes.com/teaching-resource/resource-12395477
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Forming and solving equations
This well thought out worksheet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to challenging extension questions that really get them thinking.
Under the hood
Forming and solving equations from perimeter
Forming and solving equations from area
Forming and solving equations from angle sums
Forming and solving equations from real life scenarios
Thorough, comprehensive, and carefully designed to boost confidence and grades.
Answers included
Not completely convinced? Download a free preview of the sheet here.
https://www.tes.com/teaching-resource/resource-12365289
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Transformations of graphs
This well thought out booklet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to more challenging questions that get them thinking.
Under the hood
Translating graphs
Reflecting graphs
Finding the equations and vertices of graphs after translations and reflections
Describing transformations of graphs
Challenging examples involving combinations of transformations, finding points of intersection with the axes and finding the equations of quadratic graphs from the vertex.
Thorough, comprehensive, and carefully designed to boost confidence and grades.
Answers included
Not completely convinced? Download a free preview of the sheet here.
https://www.tes.com/teaching-resource/resource-12482177
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Standard form
This well thought out worksheet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to more challenging questions that get them thinking.
Under the hood
Writing large and small numbers (decimals) in standard form
Converting standard form to ordinary numbers
Adding, subtracting, multiplying, and dividing numbers in standard form
Thorough, comprehensive, and carefully designed to boost confidence and grades.
Answers included
Not completely convinced? Download a free preview of the sheet here.
https://www.tes.com/teaching-resource/resource-12480779
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Sectors of a circle
This well thought out booklet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to more challenging questions that get them thinking.
Under the hood
Calculating the area and arc length of a sector
Working backwards from the area or arc length to find the angle or radius
Challenge questions involving finding the area from the arc length and vice versa
Thorough, comprehensive, and carefully designed to boost confidence and grades.
Answers included
Not completely convinced? Download a free preview of the sheet here.
https://www.tes.com/teaching-resource/resource-12418869