Indices

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Indices

Adding and Subtracting in Standard form

Students learn how to use non-calculator methods to solve addition and subtraction problems involving standard f...

Indices with Negative Powers

Students learn how to write indices with negative powers as fractions.  This lesson builds on using the multipli...

Large Numbers in Standard Form

Students learn how to convert between large numbers written in ordinary and standard form.  As learning progress...

Simplifying numbers written in index form

Students learn how to use the multiplication and division rules to simplify numbers written in index form.  As l...

Writing small numbers in Standard Form

Students learn how to convert between ordinary and standard form for numbers less than 1.  More able students ar...

Calculations with Surds

By simplifying surds using square factors students learn how to evaluate and simplify expressions, such as, expa...

Simplifying Surds

Students learn about what a surd is and how it can be simplified using square factors.  To consolidate and exten...

Writing Numbers in Standard Index Form

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

Calculations With Standard Index Form

To calculate with numbers written in standard form students are taught how to apply the rules of indices to a ba...

Rules of Indices

Using the multiplication and division rules students learn how to evaluate expressions in index notation.  As le...

Rationalising Denominators

The start of the lesson reviews simplifying products and quotients involving surds since this is prerequisite kn...

Prime Factor Decomposition

Students learn how to break down a number using its prime factors and write the result using index notation.  As...

Indices with Negative Powers

Students learn how to calculate the reciprocal of a number and evaluate indices with negative powers.  As learni...

Highest Common Factor and Lowest Common Multiple

Using prime factors and Venn Diagrams students are able to calculate the highest common factor and lowest common...

Indices with Fractional Powers

Students use reciprocals to evaluate indices with fractional and decimal powers.  Using square and cube numbers ...

Mr Mathematics Blog

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 […]

Plotting Quadratic Graphs on Cartesian Axes

In recent examiner reports it is noted how important it is for students to understand the properties of a parabola  when plotting quadratic graphs on Cartesian axes.  Students who have a secure understanding of parabolas can use them to correct miscalculated values in their table of results and are more likely to attain full marks […]