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Expanding double 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
Examples with positive numbers inside the brackets
Examples with negative numbers inside the brackets
Examples with numbers in front of x inside the brackets - e.g., (2x + 3)(5x - 4)
Examples with more than one different letter in the brackets - e.g., (x + 3)(y + 4)
Examples where the bracket is squared - e.g., (x - 3)^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-12361421
Expanding triple 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
Scaffolded intro examples where a quadratic is multiplied by numbers and letters
Triple bracket expansions where numbers inside are all positive
Triple bracket expansions where numbers inside contain negatives
Examples where the bracket is squared or cubes - e.g., (x + 5)(x - 3)^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-12364761
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
Composite functions
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
Evaluating composite functions
Difference between f(g(x)) and g(f(x))
Substituting a number into a composite function
Combining inverse and composite functions
Solving equations involving composite functions
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-12361958
Completing the square
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
Completing the square when the coefficient of x^2 is 1
Completing the square when the coefficient of x^2 is not 1
Completing the square when the coefficient of x is odd (number inside brackets will be a fraction)
Finding turning points of 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-12361955
Area of a triangle using trigonometry
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
Applying the 1/2absinC formula.
Finding the area of a parallelogram where the vertical height is not given.
Giving answers as exact values.
Working backwards from the area to find missing lengths.
Combining the formula with the sine and cosine rules.
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-12361836
Dividing decimals
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
Dividing a whole number by a decimal
Dividing two decimals
Harder divisions when given a similar calculation. E.g., You are given 45 x 33 = 1485. What is 148.5 divided by 45?
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-12363107
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
Cylinders
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
Volume of a cylinder
Working backwards to find missing dimensions
Surface area of a cylinder
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-12362476
Changing the subject
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
Changing the subject to a letter that appears only once.
Examples involving fractions, brackets, powers, and roots.
Examples where the letter is on the denominator of a fraction.
Examples where there are different letters.
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-12361894
Change to a percentage
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
Non-calculator method when the denominator is a factor of 100
Non-calculator method when the denominator is a multiple of 100
Calculator method
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-12361890
BIDMAS
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
Adding and subtracting vs Multiplying and dividing
Calculations with brackets
Examples where rules of BIDMAS need applying inside brackets
Calculations with fractions where they must first evaluate the numerator and denominator.
Indices and roots
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-12361874
Capture-recapture sampling
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
Worded sampling questions
Applying the capture-recapture method
Listing assumptions
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-12361887
Loci
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
Drawing the locus of points fixed distances from points, lines, corners of shapes etc
Marking points on diagrams following given rules.
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-12369008
Linear sequences (nth term)
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 terms of linear sequences
Generating sequences using the nth term (substituting 1, 2, 3, 4,…)
Finding the nth term of a linear sequence
Using the nth term to find later terms of the sequence
Using the nth term to find positions of terms in the sequence (or determine if a number is in a sequence)
Finding the nth term of a decreasing linear sequence.
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-12369003
Expanding single brackets
Free preview - 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
Expanding brackets where there is a number outside
Expanding brackets where there is a letter outside
Expanding brackets where there are letters and numbers outside
Expanding and simplifying
Important: This is a free preview file. The full HQ sheet with answers included can be found here on TES by clicking the link below.
https://www.tes.com/teaching-resource/resource-12827443
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
Solving equations with powers worksheet
Free preview - 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 equations where x^2 must first be found and then square rooted - e.g., 3x^2 = 75
Harder examples involving fractions, brackets and cubes - e.g., 4/5x^3 = 100
Important: This is a free preview file. The full HQ sheet with answers included can be found here on TES by clicking the link below.
https://www.tes.com/teaching-resource/resource-12829882
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
Finding the volume of a cuboid
Free preview - 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
Finding the volume of a cuboid
Working backwards from the volume to find missing dimensions
Important: This is a free preview file. The full HQ sheet with answers included can be found here on TES by clicking the link below.
https://www.tes.com/teaching-resource/resource-12830386
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.