Equations

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Equations

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....

Setting up and Solving Equations

Students learn how to set up an equation using written descriptions and known geometrical facts.  Once the equat...

Solving Equations with Brackets

Students learn how to solve linear equations involving brackets and fractions using the balance method.The s...

Solving Equations with the Unknown on Both Sides

Mathematics lesson where students learn about solving equations with the unknown on both sides using the balance...

Solving One Step Equations

Students learn how to solve a simple equation using the balance.  To do this they are taught how opposite functi...

Solving Two Step Equations

Using the balance method students are taught how to solve two-step equations involving multiplications and divis...

Problems with Simultaneous Equations

To introduce the idea of equivalent equations the starter involves calculating the common factor between multipl...

Solving Simultaneous Equations

At the start of the lesson students review deriving and solving a simple equation from a geometrical puzzle.  Th...

Solving Simultaneous Equations Graphically

The start of the lesson involves recognising the properties of linear functions both algebraically and graphical...

Solving Complex Quadratics by Factorising

In this mathematics lesson students learn how to solve quadratics in the form ax2 + bx + c = 0 through factorisa...

Trial and Improvement

At the start of the lesson students set up an equation involving the area of rectangle which is solved using a m...

Equations with Function Machines

The start of the lesson reviews understanding basic algebraic notation using always and sometimes true statement...

Equations with Fractions

At the start of the lesson students recap solving equations where the unknown appears on one side of the equals ...

Equations with the Unknown on Both Sides

At the start of the lesson students review solving a two step linear equation using the balance method.  The dev...

Solving Equations

The start of the lesson introduces the need to generate and solve an equation through a sense of wonder and magi...

Mr Mathematics Blog

Sharing an Amount to a Given Ratio

There are three common methods for sharing an amount to a given ratio.  Depending on the age group and ability range I am teaching I would choose one approach over the other two. The three methods are: Using fractions Unitary method Using a table In this blog I will demonstrate each of the three methods […]

Plotting Scatter Graphs and Understanding Correlation

To introduce plotting scatter graphs and understanding correlation I ask students to think about the relationships between different variables and to describe how they might be related. Here's my starter activity which students discuss in pairs then present to me on mini-whiteboards. When the students have had time to discuss the matching pairs we talk […]

Plotting Quadratic Graphs on Cartesian Axes

In recent examiner reports it is noted how important it is for students to understand the properties of a parabola  when plotting quadratic graphs on Cartesian axes.  Students who have a secure understanding of parabolas can use them to correct miscalculated values in their table of results and are more likely to attain full marks […]