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

Solving Two Step Equations using the Balance Method

An equation is when one expression, or term, is equal to another.  To solve an equation means to find the value of the variable (represented by a letter) that makes the two expressions equal.  There are two types of equations for secondary school mathematics, linear and none-linear.  In this blog I write about how I […]

How to Simplify Surds

When learning how to simplify surds students need to understand the difference between a rational and irrational number. Rational numbers include integers and terminating and repeating decimals. They can be written as a fraction with both the numerator and denominator as integers. An irrational number is a number which, in its decimal form does not […]

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 […]