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 Instantaneous Rates of Change

When calculating instantaneous rates of change students need to  visualise the properties of the gradient for a straight line graph.   I use the starter activity to see if they can match four graphs with their corresponding equations. The only clue is the direction and steepness of the red lines in relation to the blue line […]

Converting Between Fractions, Decimals and Percentages

Fractions, decimals and percentages are ways of showing a proportion of something.  Any fraction can be written as a decimal, and any decimal can be written as a percentage.  In this blog I discuss how to use the place value table and equivalent fractions to illustrate how fractions, decimals and percentages are connected. You can […]

Comparing Datasets using the Mean and Range

In my experience, students, in general, find the concept of a mean straightforward to calculate and understand. However, the mean alone does not provide a complete picture of a set of data. To achieve this, a measure of spread is also required. The range is the simplest measure that can be used for this. Not […]