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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
Probabilities with Venn 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
Using Venn diagrams with two rings to find probabilities
Using Venn diagrams with three rings to find probabilities
Using Venn diagrams to work out conditional probabilities
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-12395461
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
Angles in parallel lines
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
Corresponding angles
Alternate angles
Triangles in parallel lines
Giving reasons for their answers
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-12361819
Index laws
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
Index law for multiplication
Index law for division
Index law for powers of powers
Combining the index laws
Examples with numbers included - e.g., 2b^4 x 3b^2
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-12367705
Inequalities on 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
Displaying regions made up of horizontal and vertical lines
Displaying regions made up straight line graphs
Identifying points inside the region with integer co-ordinates
Finding the inequalities when given the region
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-12367714
HCF and LCM
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 highest common factor of two numbers
Finding the lowest common multiple of two numbers
Finding the HCF and LCM of three numbers
Worded questions where it’s not explicitly stated to use LCM or HCF
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-12367686
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
Harder quadratics (a > 1)
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
Factorising quadratics when the coefficient of x^2 is greater than 1
Solving quadratics when the coefficient of x^2 is greater than 1
Challenge questions that involve rearranging (and forming) quadratic equations when the coefficient of x^2 is greater than 1.
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-12367296
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
Finding straight line equations (y = mx + c)
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 equation of a line using y = mx + c when given the gradient and one point
Finding the equation of a line when given two points
Finding the equation of a line with a fractional gradient
Finding the equation of a line with a negative gradient
Determining if a point sits on a line
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-12365286
Factorising (into single brackets)
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
Factorising by taking out a number
Factorising by taking out the highest common factor
Factorising by taking out a letter
Factorising by taking out letters and numbers
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-12365269
Estimating
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
Estimating multiplication, division and fractional problems by rounding to one significant figure.
Deciding if answers are overestimates or underestimates.
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-12364746
Error intervals (truncating)
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 upper and lower bounds of truncated quantities
Writing error intervals when the number has been truncated
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-12364161
Equivalent ratios and simplifying
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
Mixing paint problems to find equivalent ratios
Simplifying a ratio
Writing a ratio in its simplest form (i.e., simplifying more than once or by using the HCF)
Showing that pairs of ratios are equivalent (or not equivalent)
Worded questions.
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-12364156
Equivalent fractions and simplifying
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 equivalent fractions
Showing that two fractions are equivalent
Simplifying a fraction
Writing a fraction in its simplest form (i.e., simplifying more than once or by using the HCF)
Showing that pairs of fractions are not equivalent
Simplifying mixed numbers and improper fractions
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-12364144
Estimating with probabilities (relative frequency)
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 how often an outcome is expected to happen given a number of trials
Calculating relative frequency
Using relative frequency to estimate expected outcomes
Harder examples where relative frequency is used to estimate the number of trials
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-12364187
Area and circumference of circles
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
Area and circumference of a circle
Working backwards to find the radius and diameter
Finding the area when given the circumference (and vice versa)
Area and perimeter of semicircles, quarter circles, and circles cut out of circles.
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-12361936
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
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