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

Practical Tips for Using Mini-Whiteboards in a Mathematics Lesson

In this blog I will share some practical tips for using mini-whiteboards in a mathematics lesson.  I use mini-whiteboards nearly every lesson because they help the students show me the progress they are making.  When I understand what the misconceptions are I am able to address them in subsequent examples as part of my feedback.  […]

Showing Progress during a Mathematics Lesson

Demonstrating student progression during a mathematics lesson is about understanding the learning objective and breaking that down into explicit success criteria. Using Success Criteria Take, for example, a lesson on calculating the area of compound rectilinear shapes. The intended learning objective was written on the main whiteboard. Success criteria were used to break down the individual […]

Plotting and Interpreting Conversion Graphs

Plotting and interpreting conversion graphs requires linking together several mathematical techniques.  Recent U.K. examiner reports indicate there are several common misconceptions when plotting and interpreting conversion graphs.  These include: drawing non-linear scales on the x or y axis, using the incorrect units when converting between imperial and metric measurements, taking inaccurate readings from either axis not […]