GCSE

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GCSE

Two-way Tables

Students learn how to design and interpret two-way tables.  As learning progresses they use two-way tables to so...

Stratified Sampling

Students learn the difference between different types of sampling methods and how to calculate a stratfied sampl...

Designing Questionnaires

Students learn how to design a questionnaire with non-biased or leading questions, suitable option boxes and tim...

Using the Range

The majority of the lesson is based around using the range to compare data sets in addition to an average.  Emph...

Stem & Leaf Diagrams

Students learn how to read data and calculate averages from a stem and leaf diagram.  As learning progresses stu...

Median and Mode Averages

Students learn how to calculate the median and mode averages from data presented as a list.  As learning progres...

Mean Average from Grouped Data

Students learn how to estimate the mean average from data in a grouped frequency table.  As learning progresses ...

Mean Average from a Frequency Table

Students learn how to calculate the mean average of discrete data from a frequency table.  As learning progresse...

Mean Average from Discrete Data

Students learn how to calculate the mean average of discrete data using calculator and non-calculator methods.  ...

Substitution Into Algebraic Expressions

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

Expanding Algebraic Expressions

Students learn how to expand algebraic expression from a set of brackets.  As learning progresses they find the ...

Factorising Quadratics ax^2 + bx + c

Students learn how to factorise quadratics in the form ax2 + bx + c involving positive and negative terms into t...

Factorising Quadratics

Students learn how to factorise quadratics in the form x2 + bx + c into two brackets with a mixture of negative ...

Factorising Expressions

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

Expanding Quadratics

Students learn how to expand the product of two brackets using the 'FOIL' method.  As learning progresses they...

Collecting Like Terms

Students learn how to simplify algebraic expressions by collecting like terms using basic algebraic notation.  A...

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 […]