Algebra

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Algebra

Multiplying out algebraic brackets

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

Plotting Graphs on a Grid

Students learn how to complete a table of results and plot a straight line graph on a grid in the form y = mx + ...

Plotting Sequences on a Grid

Students learn about plotting sequences on a grid.  A handout is provided to help students progress from finding...

Revising Completing the Square

Revision lesson for solving quadratic equations and identities  by completing the square.Learning progresses fro...

Revising Equations with the Unknown on Both Sides

Revision lesson for setting up and solving equations with the unknown on both sides.Learning progresses from...

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 Forming and Solving Quadratic Equations

Students revise how to solve a quadratic equation using the formula.  After sufficient practice solving a range ...

Revising Function Notation and Composite Functions

Students revise how to substitute known values and expressions into basic and composite functions.  As learning ...

Revising Kinematics Formulae

Students revise how to substitute known values into various Kinematics formulae.  As learning progresses they ne...

Revising Modelling Variations

Students revise how to model direct and inverse variations by setting up an equation involving the constant of p...

Revising Nth Term of Arithmetic Sequences

Students revise how to derive the nth term of an arithmetic sequence.  As learning progresses they use the nth t...

Revising Rearranging Formulae

Students revise how to change the subject of a formula using the balance method.  As learning progresses they us...

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 […]