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

Calculating the Volume of a Pyramid

When calculating the volume of a pyramid we can substitute the values of the length, width and perpendicular height into the formula V = 1/3 lwh.  In my experience this is often provided for the students with little explanation as to why a volume of a pyramid is exactly one third the volume of a […]

Solving 3D Problems using Trigonometry

When teaching solving 3D problems using trigonometry we begin the lesson with a recap of Pythagoras’ Theorem and the three trigonometric ratios.  We do this by matching the ratio and equations to the respective right-angled triangle.   Students are encouraged to work in pairs and to show the diagrams as part of the working out on […]

Rounding to a significant figure

When I teach rounding to a significant figure, I ask the class to discuss in pairs or small groups a definition for the word significant.  It is a word that all the students have heard before but not all are able to define. After 2 or 3 minutes of conversation I ask the students to […]