Algebra

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Algebra

Geometrical Proof with Vectors

Students learn how to use vector notation to prove geometrical facts about 2D shapes.  Throughout the lesson stu...

Vector Addition and Subtraction

Students learn how to perform vector addition and subtraction using column notation.  As learning progresses stu...

Solving Complex Quadratics by Factorising

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

Solving Quadratics by Factorising

Students learn to solve quadratic equations by factorising quadratic equations when the coefficient of x2 is one...

Sketching Quadratic Graphs

In this mathematics lesson students learn how to sketch quadratics by identifying the y intercept, roots and tur...

Using the Quadratic Formula to Solve Equations

In the development phase the teacher is provided with several examples to demonstrate solving equations using th...

Quadratic and Linear Simultaneous Equations

To solve a quadratic and linear equation simultaneously students first review the elimination method for two lin...

Completing the Square

The method of Completing the Square is introduced through recognising a need to solve a quadratic when it can no...

Term to Term Sequences

Students learn how to describe and continue linear and non-linear sequences using a term to term rule.  As learn...

Tables of Functions

Students are introduced to linear functions in the form y = mx + c by breaking them down using function machines...

Recurrence Formulae

In this mathematics lesson students learn how to generate terms of a sequence using a recurrence formula.  As le...

Nth Term Quadratic

To find the nth term of a quadratic sequence students are taught to break down the formula into into quadratic, ...

Nth Term Linear

Students learn how to create formula, called the nth term, to algebraically describe a numerical and picture ari...

Geometric Sequences

Throughout this mathematics lesson students learn how to derive the nth term for geometric sequences in the form...

Generating a Sequence

Students learn how to generate sequences using the nth term formula.  As learning progresses they progress from ...

Coordinates in all Four Quadrants

Students learn how to plot and read coordinate pairs in all four coordinates.  As learning progresses students c...

Mr Mathematics Blog

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 […]

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 […]