Algebra

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Algebra

Gradient of Straight Line Graphs

The start of the lesson reviews calculating the mid-point for line segments with different gradients.  The devel...

Plotting Straight Lines from Two Points

Students begin to plot equations in the form ax + by = c by substituting in x= 0 along the yaxis and y= 0 along ...

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...

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 […]