# Mr Mathematics's Shop

At mr-mathematics.com I create and sell GCSE and Key Stage 3 maths lessons and schemes of work for teachers and schools.

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At mr-mathematics.com I create and sell GCSE and Key Stage 3 maths lessons and schemes of work for teachers and schools.

Calculations with Decimal Numbers: A fantastic collection of lessons that incorporate all of the skills Key Stage 3 students need to work with decimal numbers.
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This best practice unit was created by a teacher of mathematics with over 15 years classroom experience. Classroom tested and student approved.
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Included:
Addition with decimals
Subtraction with decimals
Multiplication with decimals
Dividing with decimals
Multiplication using the grid method
Multiplication problems
Rounding to a decimal place

- 7 Resource Bundle
- $32.67$26.14

This solving equations eBook contains a selection of A4 printable worksheets for GCSE mathematics . Solutions are provided to enable quick and easy feedback.
Topics Included
Solving equations with function machines
Two step equations using the balance method
Unknown on both sides
Equations involving fractions
Trial and improvement
Simultaneous equations using the balance method
Simultaneous equations introduction
Simultaneous equations with different coefficients
Solving quadratics x2 + bx + c by factorising
Solving quadratics ax2 + bx + c by factorising
Solving quadratics by completing the square
Solving quadratics using the quadratic formula
Quadratic and linear simultaneous equations
Equations with algebraic fractions
Mr Mathematics annual members have instant access to all lessons across Key Stage 3 and 4. Termly GCSE assessments are also available to monitor student’s progress.
Visit mr-mathematics for
* Fully planned and differentiated maths lessons for the GCSE 9 - 1 and new Key Stage 3 specification
* Schemes of work based on pedagogy and teacher support for Key Stage 3 and 9 – 1 GCSE courses.
Follow me on twitter for updates on new lessons available at http:mr-mathematics.com
@mr_mathematics.

- (0)
- $13.07$10.45

Students learn about simplifying expressions by collecting like terms. As learning progresses they consider a mixture of unkowns and numbers. More able students also work with unknowns to a different power.At the start of the lesson they recap forming expressions using shapes. In the main they learn how to simplify expressions by identifying like terms. At the end they are challenged to complete a magic square using algebraic terms.
What's Included
Lesson Plan PDF
Microsoft PowerPoint, Smart Notebook, Activ Inspire Flipchart presentation files.
Differentiated worksheet PDF
Interactive Excel File
Tarsia
Differentiated Learning Objectives
All students should be able to simplify algebraic expressions involving a single unknown.
Most students should be able to identify and collect like terms to simplify algebraic expressions.
Some students should be able to simplify algebraic expressions with different powers.
Visit mr-mathematics.com for hundred of mathematics lessons across 11 - 18 and structured schemes of work that are focused on pedagogy and teacher support. Become a member and download all the teaching and learning resources instantly.

- (0)
- $7.78$6.22

Students learn how to perform vector addition and subtraction using column notation. As learning progresses students begin to use vectors to define and prove geometrical properties. Lesson comes with a Vectors worksheet.
Differentiated Learning Objectives
All students should be able to use vectors to describe the position of one object in respect of another.
Most students should be able to use geometrical properties of parallelograms and trapezia to add and subtract given vectors.
Some students should be able to prove the geometrical properties of shapes using vector addition.

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- $6.47$5.17

Students learn how to calculate the union and intersection of sets using Venn diagrams. As learning progresses students are challenged to use the union and intersection to calculate a probability.
At the start of the lesson recaps both collecting like terms and using Venn diagrams to calculate a probability. The plenary challenges students to apply set notation to three independent events within a Venn diagram.
Differentiated Learning Objectives
All students should be able to identify a union and intersect using set notation.
Most students should be able to calculate a probability from a Venn diagram using set notation.
Some students should be able to use set notation with probability trees and Venn diagrams.
Check out my blog at mr-mathematics.com for:
* Fully planned and differentiated maths lessons for KS3 and GCSE grades 1 - 9.
* Schemes of work based on pedagogy and teacher support.

- (0)
- $6.47$5.17

Students learn how to use vector notation to prove geometrical facts about 2D shapes.
Throughout the lesson students identify and prove parallel lines, parallelograms and trapezia using vector notation. This lesson comes with a vectors worksheet. The start of the lesson is used to review using vector addition and subtraction to define the geometrical properties of polygons.
Differentiated Learning Objectives
All students should be able to use the geometrical properties of polygons to define vectors.
Most students should be able to prove the geometrical properties of polygons using vectors.
Some students should be able to use ratio and the geometrical properties of polygons to prove two lines are parallel.

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- $6.47$5.17

In this mathematics lesson students learn how to solve quadratics in the form ax2 + bx + c = 0 through factorisation. As learning progresses the factorisation becomes more challenging as the coeffecient of x2 is no longer a prime number.
Differentiated Learning Objectives
All students should be able to solve a quadratic in the form ax2 + bx + c = 0where a is prime and b and c are both positive.
Most students should be able to solve a quadratic in the form ax2 + bx + c = 0 where a is prime.
Some students should be able to solve a quadratic in the form ax2 + bx + c = 0 where is not prime.

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- $6.47$5.17

The method of Completing the Square is introduced through recognising a need to solve a quadratic when it can not be easily factorized. Throughout the main teaching phase there are numerous examples for the teacher to model plus additional equations to be practiced by the students.
Differentiated Learning Objectives
All students should be able to solve a quadratic equation in the form ax2+bx+c=0 where a equals 1 using the method of completing the square.
Most students should be able to solve a quadratic equation in the form ax2+bx+c=0 where a does not equal 1 using the method of completing the square.
Some students should be able to use completing the square to solve equivalent quadratic identities.

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- $6.47$5.17

To solve a quadratic and linear equation simultaneously students first review the elimination method for two linear equations.
The development phase goes on to demonstrate solving the equations as means to calculating the intersecting point between their respective graphs. There are examples provided for the teacher to demonstrate and additional problems for the students.
Differentiated Learning Objectives
All students should be able to solve a pair of simultaneous equations where one is quadratic and the other is linear through the method of substitution.
Most students should be able to find intersecting points from a quadratic and linear graph using the method of substitution to solve equations simultaneously.
Some students should be able to find the intersecting point between a reciprocal and linear equation.
Check out my blog at mr-mathematics.com for:
* Fully planned and differentiated math lessons for KS3 and 1 - 9 GCSE Mathematics lessons
* Schemes of work based on pedagogy and teacher support.

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- $6.47$5.17

Students learn about substituting numbers into formulae using the order of operations. As learning progresses students are challened to substitute decimal and negative numbers into increasingly complex formulae.
The start of the lesson recaps using the order of operations to arrange a series of calculations in ascending order. The plenary challenges students to apply substituting numbers into formulae in a real life context.
Differentiated Learning Objectives
All students should be able to substitute integer values into a formula.
Most students should be able to substitute integer and decimal values into a formula.
Some students should be able to substitute known values into a formula.

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- $6.47$5.17

In this mathematics lesson students learn about sketching quadratic graphs by identifying the y intercept, roots and turning point of the parabola. As learning progresses students interchange between solving quadratics using factorisation, completing the square or the quadratic formula.
Differentiated Learning Objectives
All students should be able to calculate and show the roots of a quadratic in a sketched diagram.
Most students should be able to sketch a quadratic graph to illustrate its turning point, roots and y-intercept value.
Some students should be able to use sketched graphs to determine the number of solutions to two or more simultaneous equations.

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- $6.47$5.17

In the development phase the teacher is provided with several examples to demonstrate solving equations using the quadratic formula for positive and negative values of a, b and c.
Further on, the students have the opportunity to practise this for themselves. The plenary involves deriving and applying the formula to calculate unknown lengths when given the area of a trapezium.
Differentiated Learning Objectives
All students should be able to use the quadratic formula to solve quadratic equations where the coefficient of a = a and are equal to zero.
Most students should be able to solve a quadratic equation using the quadratic formula.
Some students should be able to derive the quadratic equation by completing the square and use it to solve complex problems.

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- $6.47$5.17

Students learn to solve quadratic equations by factorising quadratic equations when the coefficient of x2 is one. As learning progresses they are challenged to rearrange quadratics to equal zero and set up and solve equations from known geometrical facts.
Differentiated Learning Objectives
All students should be able to solve a quadratic equation in the form x2+bx+c using factorisation.
Most students should be able to solve a quadratic equation in the form x2±bx±c using factorisation.
Some students should be able to derive and solve an equation using known geometrical facts.

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- $6.47$5.17

Students learn how to calculate unknown lengths in cuboids and other solids by applying Pythagoras' Theorem in 3D shapes. As learning progresses they are challenged to find lengths in composite shapes involving square based pyramids and cuboids.
At the start of the lesson students recap applying Pythagoras' Theorem to the perimeter of 2D shapes. The plenary challenges students to calculate the perpendicular height of a composite shape.
Differentiated Learning Objectives
All students should be able to calculate the long diagonal in a cuboid using Pythagoras’ Theorem.
Most students should be able to apply Pythagoras’ Theorem to calculate unknown lengths in 3D shapes.
Some students should be able to derive the formula for the longest length of a cuboid using Pythagoras’ Theorem
Check out my blog at mr-mathematics.com for:
* Fully planned and differentiated math lessons for KS3 and 1 - 9 GCSE Mathematics lessons
* Schemes of work based on pedagogy and teacher support.

- (0)
- $6.47$5.17

In this mathematics lesson students learn how to solve quadratic inequalities by identifying the roots to sketch the graphs. As learning progresses they are challenged to identify regions on a grid the correct algebraic notation.
The start of the lesson is used to recap solving simple quadratics using factorisation and the balance method.
Differentiated Learning Objectives
All students should be able to solve a quadratic inequality using the balance method.
Most students should be able to solve a quadratic inequality in the form by factorising.
Some students should be able to solve a quadratic inequality with non-integer roots using the formula.

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- $6.47$5.17

In this mathematics lesson students learn how to solve multiple inequalities and represent common solutions on a number line. As learning progresses they consider pairs of inequations that have single, infinite and zero solutions.
Differentiated Learning Objectives
All students should be able to use a number line to represent the solutions to two inequalities.
Most students should be able to find a set of solutions for two inequalities.
Some students should be able to identify a set of inequalities that have no common number sets.

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- $6.47$5.17

Students learn how to plot and calculate linear inequalities on a Cartesian axes. As learning progresses they are challenged to identify regions on a grid using sets.
The start of lesson reminds students about the gradient and intercept properties of linear functions. The plenary challenges students to identify and describe a set of inequalities around a specific region.
Differentiated Learning Objectives
All students should be able to plot and describe an inequality in the form y = a, x = a.
Most students should be able to plot a linear equality on Cartesian axes.
Some students should be able to plot and describe linear inequalities on Cartesian axes.

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- $6.47$5.17

Solving Simultaneous Equations Graphically
The start of the lesson involves recognising the properties of linear functions both algebraically and graphically by identifying the gradient and intercept values. The development phase builds on this by teaching how to solve a pair of equations simultaneously using graphical methods. As learning progresses students are challenged to solve equations in the form ax + by + c = 0.
Differentiated Learning Objectives
All students should be able to plot a linear function using two points.
Most students should be able to solve a pair of simultaneous equations with integer solutions graphically.
Some students should be able to generate and solve a pair of simultaneous equations graphically.

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- $7.78$6.22

Students learn how to factorise an algebraic expression into a pair of brackets using the highest common factor. As learning progresses students are challenged to factorise expressions involving multiple unknowns and powers.
The start of the lesson recaps collecting like terms and expanding brackets as students are challenged to find the perimeter of a pentagon with algebraic lengths. At the end of the lesson students are challenged to match a series of expressions with their factorised equivalence.
Differentiated Learning Objectives
All students should be able to factorise an expression in the form ax ± c
Most students should be able to factorise an expression in the form ax ± by
Some students should be able to factorise an expression involving powers.

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- $6.47$5.17

The start of the lesson is used to review deriving inequalities from number lines. The development phase builds on this by using number lines to represent a range of solutions for inequations. As learning progresses students move on to solving inequations involving brackets and negatives using the balance method.
Differentiated Learning Objectives
All students should be able to solve a two step linear inequation and represent the solutions on a number line.
Most students should be able to solve a linear inequation involving brackets and represent the solutions on a number line.
Some students should be able to solve a linear inequation between two boundaries and represent the solutions on a number line.

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- $6.47$5.17

Students learn how to represent inequalities on a number line using the correct notation. As learning progresses students practice using the number lines, diagrams and symbols to both derive and plot inequalities.
Differentiated Learning Objectives
All students should be able to plot an inequality on a number line.
Most students should be able to plot and derive an inequality using a number line
Some students should be able to plot, derive and solve an inequality using a number line.

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- $6.47$5.17

Mathematics lesson where students learn about solving equations with the unknown on both sides using the balance method. As learning progreses students solve equations involving positive and negative terms.
The start of the lesson recaps solving two-step equations with the unknown on a single side of the equal sign. The plenary is used to address a common misconception of solving and equation with positive and negative terms.
Differentiated Learning Objectives
All students should be able to solve an equation with the unknown on both sides
Most students should be able to algebraic methods to solve linear equations in one variable.
Some students should be able to solve an equation involving brackets with the unknown on both sides.

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- $6.47$5.17

Students learn how to create frequency trees from two-way tables and written descriptions. As learning progress students are challenged to calculate a probability from data presented in a frequency tree.
At the start of the lesson students recap entering data in a partially completed frequency table. The end of the lesson challenges students to complete a frequency with six different events.
Differentiated Learning Objectives
All students should be able to complete a frequency tree from a two-way table.
Most students should be able to record, describe and analyse the frequency of outcomes using frequency trees.
Some students should be able to record, describe and analyse the frequency and probability of outcomes using frequency trees.

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- $7.78$6.22

Students learn how to interpret histograms with unequal class widths at higher GCSE mathematics level. As learning progresses students are challenged to calculate the mean estimate from a histogram.
Differentiated Learning Objectives
All students should be able to calculate the total frequency from a histogram with unequal class widths.
Most students should be able to calculate an estimate of frequency within a given range for a histogram with unequal class widths.
Some students should be able to estimate the mean average from a histogram with unequal class widths.

- (0)
- $7.78$6.22