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...

Setting up and Solving Equations

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

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 ...

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 Quadratic Identities

Students learn how to solve quadratic identities by completing the square and equating terms. As learning progre...

Solving Two Step Equations

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

Substituting Numbers into Expressions

Students learn about substituting numbers into expressions.  Using the order of operations they are taught how t...

Substituting Numbers into Formulae

Students learn about substituting numbers into formulae using the order of operations.  As learning progresses s...

Using Graphs to Solve Linear Equations

Students learn about using graphs to solve linear equations. Learning progresses from solving equations where th...

Using Parabolas to Solve Quadratic Equations

Students learn how to find the solutions to a quadratic equation using graphs.  Learning progresses from solving...

Using Real Life Graphs

Students learn how to model situations or procedures using real life graphs.  Learning progresses from drawing t...

Mr Mathematics Blog

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 […]

Solving Problems with Angles in Parallel Lines

Solving problems with angles in parallel lines is like solving a murder mystery.  One clue leads on to the next and the next until the murderer is found.  However, it doesn’t end there.  The detectives need to explain their reasoning in court using the relevant laws and procedures should the murderer plead not guilty.  If […]

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 […]