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...

Revising Calculations with Standard Form

Students revise how to use calculator and non-calculator methods to solve problems involving standard form.  As ...

Revising Negative and Fractional Indices

Students revise how to apply the rules of index notation evaluate expressions involving fractional and negative ...

Revising Prime Factors, Highest Common Factor and Lowest Common Multiple

Students revise how to calculate the prime factors of an integer.  As learning progresses they use prime factors...

Revising Rules of Indices

Students revise how to use index notation to simplify expressions involving powers and roots.  As learning progr...

Revising Writing Numbers in Standard Form

Students revise how to convert numbers between ordinary and standard form.  As learning progresses they perform ...

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...

Mr Mathematics Blog

Mathematics OFSTED Inspection – The Deep Dive

Earlier this week, my school took part in a trial OFSTED inspection as part of getting ready for the new inspection framework in September 2019. This involved three Lead Inspectors visiting our school over the course of two days. The first day involved a 'deep dive' by each of the Lead Inspectors into Mathematics, English […]

How to Solve Quadratics by Factorising

The method of how to solve quadratics by factorising is now part of the foundational knowledge students aiming for higher exam grades are expected to have.   Here is an example of such a question. Solve x2 + 7x – 18 = 0 In my experience of teaching and marking exam papers students often struggle with […]

How Write 3 Part Ratios

When learning how to write 3-part ratios students need to understand how ratios can be made equivalent. The start of the lesson reminds students by asking which of six ratios is the odd one out.  This is presented to the class as they come into the lesson.    Writing Equivalent Ratios  A few students immediately go […]