Patterns and Sequences

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Patterns and Sequences

Creating a Sequence using Formulae

Students learn how about creating a sequence using formulae.  Students progress from using function machines to ...

Describing Number Patterns

Students learn describing number patterns on a term to term basis.  More able students tackle Fibonacci and geom...

Describing Picture Sequences

Students learn how about describing picture sequences.  During the lesson students learn how to model a picture ...

Finding the nth Term of a Sequence

Students learn about finding the nth term of a sequence.  During the lesson they are taught how to break a seque...

Plotting Sequences on a Grid

Students learn about plotting sequences on a grid.  A handout is provided to help students progress from finding...

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...

Coordinates in the First Quadrant

Students learn how to plot and read coordinate in the first quadrant.As learning progresses students consider th...

Mr Mathematics Blog

Calculating Instantaneous Rates of Change

When calculating instantaneous rates of change students need to  visualise the properties of the gradient for a straight line graph.   I use the starter activity to see if they can match four graphs with their corresponding equations. The only clue is the direction and steepness of the red lines in relation to the blue line […]

Converting Between Fractions, Decimals and Percentages

Fractions, decimals and percentages are ways of showing a proportion of something.  Any fraction can be written as a decimal, and any decimal can be written as a percentage.  In this blog I discuss how to use the place value table and equivalent fractions to illustrate how fractions, decimals and percentages are connected. You can […]

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 […]