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 ...
Interactive Lessons

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...

Revising Expanding Brackets

Students revise how to expand a single pair of brackets by a number and term.  Learning progresses onto simplify...

Revising Expanding Cubic Expressions

Students revise how to expand a cubic expression from three binomials.  As learning progresses they link cubic e...

Revising Expanding Quadratics

Students revise how to expand and simplify the product of two brackets.  As learning progresses they consider qu...

Revising Factorising Expressions

Students revise how to factorise algebraic expressions by taking out the highest common factor.  As learning pro...

Revising Factorising Quadratics

Students revise how to factorise a quadratic in the form x2 + bx + c.  As learning progresses they link quadrati...

Revising Simplifying Expressions

Students revise how to simplify expressions by collecting like terms.  As learning progress they simplify algebr...

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...

Mr Mathematics Blog

Mathematics OFSTED Inspection – The Deep Dive

Earlier this week, my school took part in a trial OFSTED inspection as part of getting ready for the new inspection framework in September 2019. This involved three Lead Inspectors visiting our school over the course of two days. The first day involved a 'deep dive' by each of the Lead Inspectors into Mathematics, English […]

How to Solve Quadratics by Factorising

The method of how to solve quadratics by factorising is now part of the foundational knowledge students aiming for higher exam grades are expected to have.   Here is an example of such a question. Solve x2 + 7x – 18 = 0 In my experience of teaching and marking exam papers students often struggle with […]

How Write 3 Part Ratios

When learning how to write 3-part ratios students need to understand how ratios can be made equivalent. The start of the lesson reminds students by asking which of six ratios is the odd one out.  This is presented to the class as they come into the lesson.    Writing Equivalent Ratios  A few students immediately go […]