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

Calculating the Volume of a Pyramid

When calculating the volume of a pyramid we can substitute the values of the length, width and perpendicular height into the formula V = 1/3 lwh.  In my experience this is often provided for the students with little explanation as to why a volume of a pyramid is exactly one third the volume of a […]

Solving 3D Problems using Trigonometry

When teaching solving 3D problems using trigonometry we begin the lesson with a recap of Pythagoras’ Theorem and the three trigonometric ratios.  We do this by matching the ratio and equations to the respective right-angled triangle.   Students are encouraged to work in pairs and to show the diagrams as part of the working out on […]

Rounding to a significant figure

When I teach rounding to a significant figure, I ask the class to discuss in pairs or small groups a definition for the word significant.  It is a word that all the students have heard before but not all are able to define. After 2 or 3 minutes of conversation I ask the students to […]