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Solving equations - unknown on both sides
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
Intro examples where only letters need to be moved - e.g., 4x = 2x + 18
Medium examples where letters and numbers need to be moved - e.g., 3x + 1 = 7x - 5
Harder examples involving tricky negatives or fractions on either side - e.g., 5 - 2x = (5 - 3x)/4
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-12482189
Real life formulas and 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
Forming and using formulas that describe real life situations
Using straight line graphs to model real life situations - e.g., fixed rate for intercept and hourly rate is gradient.
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-12411944
Quadratic simultaneous equations
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
Solving simultaneous equations where one is quadratic
Solving simultaneous equations where one is a circle
Finding the co-ordinate points of intersection between lines and curves
Showing that a line is a tangent to a curve algebraically
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-12409690
Quadratic inequalities
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
Solving quadratic inequalities
Solving quadratic inequalities that need rearranging first
Challenge questions that involve forming quadratic inequalities and listing integer solutions that satisfy pairs of inequalities
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-12409684
Pythagoras and trigonometry in 3D
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 and trigonometry to find missing sides and angles inside 3D shapes.
Begins with simple examples where the 2D triangles they need are shown and progresses to harder examples where they must figure them out.
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-12400186
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
Pressure
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 pressure
Calculating weight
Calculating base area
Examples with base areas smaller than 1m^2 so they can see that pressure is greater than weight over small areas
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-12394978
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
Geometric sequences
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
Recognising geometric sequences
Finding missing terms of geometric sequences
Nth terms of geometric sequences
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-12366488
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
Distance-time 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
Calculating the speed by finding the gradient
Interpreting horizontal lines and downward sloping lines
Drawing a distance-time graph
Calculating average speed
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-12363102
Density
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
Calculating density
Calculating volume
Calculating mass
Calculations where the mass needs converting
Deciding if objects sink or float
Calculating the density when two liquids are mixed together
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-12362987
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
Quadratic sequences
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
Generating quadratic sequences using the nth term
Recognising quadratic sequences - i.e., which of these have constant second differences?
Finding the nth term of a quadratic sequence
Using the nth term to find bigger terms and positions of terms in sequences
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-12409687
Interest and depreciation
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
Calculating simple interest (and working backwards to find the rate)
Calculating compound interest
Calculating depreciation
Calculating population changes using the same method
Worded questions including when the rate changes, more money is saved, or a withdrawal is made.
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-12368977
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
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
Segments of a circle
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 the area of a segment (area sector - 1/2absinC)
Calculating the perimeter of a segment (cosine rule + arc length)
Specialised segments where the angle is 90 that might make some students spot they can use Pythagoras’ to save time.
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-12418876
Rearranging formulas (Higher GCSE)
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
Changing the subject to a letter that appears more than once (i.e., by factorising)
Starts with simple factorise and divide examples before building up to those which need rearranging before the factorising.
Challenge questions involve rearranging formulas with algebraic fractions, brackets and square roots
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-12411954
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