# 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.

Home feed

My list

Courses
Jobs
Resources
Author dashboard
Settings

Edit your profile
Mailing preferences
Account
Log out
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.
*************************************************************************
This best practice unit was created by a teacher of mathematics with over 15 years classroom experience. Classroom tested and student approved.
*************************************************************************
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
- $32.13

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)
- $12.85

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)
- $8.93

To solve problems involving trigonometry in 3D shapes students are taught to identify 2D right-angled triangles and apply the Sine, Cosine and Tangent ratios. As learning progresses they consider square based pyramids in addition to cubes and cuboids.
Differentiated Learning Objectives
All students should be able to calculate a length in a 3D shape using 2D representations of right angled triangles
Most students should be able to calculate an angle in a 3D shape using 2D representations of right angled triangles.
Some students should be able to calculate a combination of length and angle in a 3D shape using 2D representations of right angled triangles
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.
Some students should be able to construct circular shapes using the appropriate terminology and investigate basic circle properties.

- (0)
- $6.36

Students learn how to apply Sin, Cos and Tan to find missing angles in right-angled triangles. As learning progresses they are challenged to apply additional theorems associated to triangles to solve more complex problems.
Differentiated Learning Objectives
All students should be able to use the Sine and Cosine function to calculate angles in right-angled triangles.
Most students should be able to use the Sine, Cosine and Tangent function to calculate angles in right angled triangles.
Some students should be able to calculate an angle in an isosceles triangle using Trigonometrical functions.
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.
Some students should be able to construct circular shapes using the appropriate terminology and investigate basic circle properties.

- (0)
- $6.36

Students discover the three trigonometric ratios Sin, Cos and Tan through constructions. As learning progresses they are challenged to apply the three ratios to solve problems involving right-angled triangles.
Differentiated Learning Objectives
All students should be able identify the three trigonometric ratios of a right-angled triangle.
Most students should be able to calculate the Opposite and Adjacent side using Sin θor Cos θ
Some students should be able to solve real life problems involving the lengths of any side of a right angled triangle using SOH CAH TOA
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.
Some students should be able to construct circular shapes using the appropriate terminology and investigate basic circle properties.

- (0)
- $6.36

Students learn how to calculate unknown lengths in right-angled triangles using Sin, Cos and Tan. As learning progresses they are challenged to apply other facts about triangles to solve more complex problems.
Differentiated Learning Objectives
All students should be able to calculate the length of a right angled triangle using the Sine and Cosine functions.
Most students should be able to calculate the length of a right angled triangle using the Sine, Cosine and Tangent functions.
Some students should be able to calculate the length of a polygon edge by considering its right-angled triangular components.
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.
Some students should be able to construct circular shapes using the appropriate terminology and investigate basic circle properties.

- (0)
- $6.36

Students learn how to calculate unknown lengths and angles in right-angled triangles using Sin, Cos and Tan. As learning progresses they are challenged to apply other facts about triangles to solve more complex problems.
Differentiated Learning Objectives
All students should be able to calculate an angle in a right angled triangle using trigonometrical relationships.
Most students should be able to calculate a combination of angle and length in a right angled triangle using trigonometrical relationships.
Some students should be able to demonstrate geometrical relationships in right angled triangle using trigonometrical relationships.
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.
Some students should be able to construct circular shapes using the appropriate terminology and investigate basic circle properties.

- (0)
- $6.36

Students learn how to identify and measure the different parts of a circle while using the correct mathematical equipment. A fully diferentiated worksheet is included with this lesson.
Differentiated Learning Objectives
All students should be able to identify and construct the radius, diameter, circumference and area of a circle.
Most students should be able to identify and construct a radius, diameter, circumference, area, chord, tangent and arc.
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.
Some students should be able to construct circular shapes using the appropriate terminology and investigate basic circle properties.

- (0)
- $6.36

Students learn how to model non-linear direct proportion functions using formulae and graphs. Learning progresses from deriving the equation to manipulating it to calculate missing values.
Differentiated Learning Objectives
All students should be able to calculate the constant of variation that models how two measurements are in direct proportion.
Most students should be able to derive and use the formula that models how two measurements are in direct proportion.
Some students should be able to model how two measurements are in nonlinear direct proportion using a formula and graph.
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)
- $6.36

Students learn how to calculate a repeated percentage change using decimal multipliers. As learning progresses students consider the overall percentage change to lead in to compound interest in subsequent lessons.
The start of the lesson recaps finding the equivalent decimal multiplier after a simple percentage increase or decrease. At the end of the lesson students are challenged to set up and solve an equation to find the rate of interest when the final amount is known.
Differentiated Learning Objectives
All students should be able to calculate a decimal multiplier given a percentage change.
Most students should be able to calculate an equivalent successive percentage change.
Some students should be able to calculate the percentage change needed by the end of the second year.
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)
- $6.36

Students learn how about constructing triangles using compasses and protractors using SSS, SAS and ASA. As learning progresses students are challenged to measure angles and lines to scale and construct quadrilaterals.
The start of the lesson recaps symmetry by asking students to identify which shape can not be quarter of a square. The plenary challenges students to construct an arrowhead using two congruent triangles.
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.
Differentiated Learning Objectives
All students should be able to construct a triangle using SSS.
Most students should be able to construct a triangle using SSS and SAS,
Some students should be able to construct a triangle using SSS, SAS and ASA.

- (0)
- $6.36

Students learn how to construct a perpendicular bisector and equidistant path using a pair of compasses and ruler. As learning progress students are challenged to bisect a line at a given point and to find the shortest route between a point and a line.
The start of the lesson is used to recap constructing triangles involving side, side, side using a pair of compasses. The plenary challenges students to construct a scale drawing and use a perpendicular bisector to find the shortest route possible.
Differentiated Learning Objectives
All students should be able to construct the perpendicular bisector of a line segment.
Most students should be able to construct an equidistant path between two points.
Some students should be able to recognise and use the perpendicular distance from a point to a line as the shortest distance to the line.
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)
- $6.36

Students learn how to construct and use scale drawings to measure angles of elevation and depression and unknown lengths. As learning progresses students are challenged to decide their scale and investigate similar shapes.
Differentiated Learning Objectives
All students should be able to construct a scale drawing of a triangle.
Most students should be able to construct a scale drawing of a triangle to measure a length or angle.
Some students should be able to draw and measure line segments and angles in geometric figures, including interpreting scale drawings.
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)
- $6.36

Students learn how to construct an angle bisector using a pair of compasses and ruler. As learning progresses they are challenged to use angle bisectors to identify an equidistant path between two lines.
The start of the lesson is used to recap using perpendicular bisectors to find the shortest path possible between a line and point. The plenary challenges students to identify a region that is equidistant between two lines and two points.
Differentiated Learning Objectives
All students should be able to bisect an acute angle using a pair of compasses and ruler.
Most students should be able to bisect and angle using a pair of compasses and ruler.
Some students should be able to construct an angle bisector to identify an equidistant path.
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)
- $6.36

In this mathematics lesson students learn how to construct a mathematical proof using algebraic notation and common number properties. As learning progresses they are challenged to prove quadratic identities and consecutive terms.
Differentiated Learning Objectives
All students should be able to use algebra to prove a linear relationship.
Most students should be able to expand the product of two or more brackets to prove a quadratic Some students should be able to prove number properties through algebraic manipulation.
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)
- $6.36

Students learn how to apply the interior, alternate and corresponding angle properties in parallel lines. As the students become more confident each of the problems require multiple geometrical properties to calculate the unknown angle.
Differentiated Learning Objectives
All students should be able to calculate an unknown angle in parallel lines using a single property.
Most students should be able to calculate unknown angles in parallel lines using multiple properties.
Some students should be able to calculate set up and solve equations involving angles in parallel lines.
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)
- $6.36

Students learn how to translate shapes using left, right, up and down. As learning progresses they describe translations using the correct vocabulary.
Differentiated Learning Objectives
All students should be able to translate an object when given a horizontal or vertical description.
Most students should be able to translate an object when given a horizontal and vertical description.
Some students should be able to describe and perform a translation.
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)
- $6.36

Fully differentiated worksheet for calculating angles in a quadrilateral. Solutions are on page two.
Excellent for independent learning in the class room, homework or revision.
More resources are available at mr-mathematics.com and our Facebook page.

- (28)
- FREE

Students learn how to recognise and prove congruency using various angle properties and geometrical facts. As learning progresses they consider the difference between similarity and congruence.
Differentiated Learning Objectives
All students should be able to understand that congruent shapes have equal angles and lengths.
Most students should be able to recognise SSS, SAS, ASA properties to prove congruency.
Some students should be able to show congruency through reasoned algebraic proof.
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)
- $6.36

Students learn how to calculate the volume scale factor from similar solids to calculate a capacity. As learning progresses they are challenged to find the length and area ratios using the volume scale factor.
Differentiated Learning Objectives
All students should be able to calculate the volume scale factor given two corresponding lengths in similar solids.
Most students should be able to derive and apply the volume scale factor to calculate unknown volumes in similar solids
Some students should be able to derive and apply the volume and length scale factors to calculate unknown measurements in solid shapes.
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)
- $6.36

Students learn how to calculate areas of similar shapes using the area scale factor. As learning progresses students begin to calculate unknown lengths using the area scale factor.
Differentiated Learning Objectives
All students should be able to calculate the area scale factor as the square of the length scale factor.
Most students should be able to determine and apply the area scale factor to calculate unknown areas.
Some students should be able to determine and apply the area scale factor to calculate unknown areas and lengths.
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)
- $6.36

Students learn how to perform and describe enlargements on a grid using a centre and scale factor. As learning progresses they are challenged to consider more complex transformations such as fractional scale factor enlargements.
Differentiated Learning Objectives
All students should be able to enlarge an object to a positive integer scale factor and centre on Cartesian axes.
Most students should be able to enlarge an object to a positive scale factor and centre on Cartesian axes.
Some students should be able to describe and perform an enlargement using a positive scale factor on Cartesian axes
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)
- $6.36

Students learn how to perform and describe reflections of 2D shapes using a mirror line. As learning progresses they are challenged to draw diagonal reflections of more complex shapes.
Differentiated Learning Objectives
All students should be able to perform a vertical and horizontal reflection.
Most students should be able to perform a vertical, horizontal and diagonal reflection.
Some students should be able to perform and describe a series of reflections.
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)
- $6.36