Algebraic expressions

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Algebraic expressions

Expanding Brackets and Collecting Like Terms

Students learn how to find the sum and difference of two algebraic expressions by expanding brackets.  Learning ...
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Expanding Cubic Expressions

Students learn how to write the product of three binomials by expanding a cubic expression. Learning progresses ...

Factorising Expressions into a Pair of Brackets

Students learn how to factorise an algebraic expression into a pair of brackets using the highest common factor....

Factorising Expressions with Powers

Students learn how to factorise expressions with powers by taking out the highest common factor.  As learning pr...

Multiplying and Dividing with Algebra

Students learn about multiplying and dividing with algebra using the correct notation.  More able students are c...

Multiplying out algebraic brackets

Students learn how to expand a pair of brackets with the constant and unknown on the outside.  As learning progr...

Simplifying Expressions by Collecting Like Terms

Students learn about simplifying expressions by collecting like terms.  As learning progresses they consider a m...

Solving an Equation with Function Machines

Students learn about solving an equation with function machines.  More able students can use the balance method ...

Substituting Numbers into Expressions

Students learn about substituting numbers into expressions.  Using the order of operations they are taught how t...

Writing Expressions using Diagrams

Students learn about writing expressions using diagrams.  As learning progresses they create their own shapes fr...

Writing Expressions using Keywords

Students learn about writing expressions using keywords.  More able students are challenged to write expressions...

Substitution Into Algebraic Expressions

Students learn how to substitute known values into algebraic expressions using algebra notation and the order of...

Expanding Algebraic Expressions

Students learn how to expand algebraic expression from a set of brackets.  As learning progresses they find the ...

Factorising Quadratics ax^2 + bx + c

Students learn how to factorise quadratics in the form ax2 + bx + c involving positive and negative terms into t...

Factorising Quadratics

Students learn how to factorise quadratics in the form x2 + bx + c into two brackets with a mixture of negative ...

Factorising Expressions

Students learn how to factorise algebraic expressions using the highest common factor and basic algebraic notati...

Mr Mathematics Blog

Teaching Reciprocals of Numbers and Terms

To introduce teaching reciprocals of numbers and terms I begin the lesson explaining that everything has an opposite.  The opposite of shutting a door is to open it.  The opposite of saying hello is to say goodbye.  Numbers have opposites too we call them reciprocals. Teaching Reciprocals of Numbers and Terms To start the lesson […]

Surface Area of Cylinders

When I teach how to find the surface area of cylinders I like to add a constant level of challenge and enjoyment to the lesson.  Rather than repetitively calculating the surface area of a cylinder I introduce more complex cylindrical shapes. How to find the Surface Area of Cylinders To find the surface area of […]

Teaching Mathematics for a Growth Mindset

Inspiring students to enjoy maths and feel the success that comes with attempting a difficult challenge is why I teach.  The feeling of success is addictive.  The more students experience it the more they want it and the further out of their comfort zone they are willing to go to get more of it.  Teaching […]