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Simplifying Expressions by Collecting Like Terms

Students learn about simplifying expressions by collecting like terms.  As learning progresses they consider a m...

Writing Numbers in Standard Index Form

Using place value students learn how to convert ordinary numbers to standard index form.  As learning progresses...

Pythagoras’ Theorem – Shorter Sides

Students learn how to calculate a shorter side of a right-angled triangle using Pythagoras' Theorem.  As learni...

Substitution Into Algebraic Expressions

Students learn how to substitute known values into algebraic expressions using algebra notation and the order of...

Factorising Expressions

Students learn how to factorise algebraic expressions using the highest common factor and basic algebraic notati...

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 […]