Blogs about Maths Lessons and Maths Education

Calculating the Volume of a Pyramid

Calculating the Volume of a Pyramid

When calculating the volume of a pyramid we can substitute...
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Solving 3D Problems using Trigonometry

Solving 3D Problems using Trigonometry

When teaching solving 3D problems using trigonometry we begin the...
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Rounding to a significant figure

Rounding to a significant figure

When I teach rounding to a significant figure, I ask...
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Calculating Instantaneous Rates of Change

Calculating Instantaneous Rates of Change

When calculating instantaneous rates of change students need to  visualise...
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Converting Between Fractions, Decimals and PercentagesConverting Between Fractions, Decimals and Percentages

Converting Between Fractions, Decimals and Percentages

Fractions, decimals and percentages are ways of showing a proportion...
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Comparing Datasets using the Mean and Range

Comparing Datasets using the Mean and Range

In my experience, students, in general, find the concept of...
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Solving Problems with Angles in Parallel Lines

Solving Problems with Angles in Parallel Lines

Solving problems with angles in parallel lines is like solving...
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Solving Two Step Equations using the Balance Method

Solving Two Step Equations using the Balance Method

An equation is when one expression, or term, is equal...
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How to Simplify Surds

How to Simplify Surds

When learning how to simplify surds students need to understand...
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Sharing in a Given Ratio

Sharing an Amount to a Given Ratio

There are three common methods for sharing an amount to...
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Plotting Scatter Graphs

Plotting Scatter Graphs and Understanding Correlation

To introduce plotting scatter graphs and understanding correlation I ask...
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Plotting Quadratic Graphs on Cartesian Axes

Plotting Quadratic Graphs on Cartesian Axes

In recent examiner reports it is noted how important it...
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indices

Teaching Reciprocals of Numbers and Terms

To introduce teaching reciprocals of numbers and terms I begin...
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Surface Area of Cylinders

Surface Area of Cylinders

When I teach how to find the surface area of...
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Teaching Mathematics for a Growth Mindset

Teaching Mathematics for a Growth Mindset

Inspiring students to enjoy maths and feel the success that...
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Equation of Straight Line Graphs

Equation of Straight Line Graphs

To find the equation of straight line graphs students need...
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How to Draw a Venn Diagram to Calculate Probabilities

How to Draw a Venn Diagram to Calculate Probabilities

There are three common ways to organise data that fall...
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Proving Geometrical Relationships using Algebra

Proving Geometrical Relationships using Algebra

Back in May 2017 maths teachers around the country eagerly...
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Drawing Histograms with Unequal Class Widths

Drawing Histograms with Unequal Class Widths

Higher GCSE maths students are required to plot and interpret...
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Add and Subtract with Numbers in Standard Form

Add and Subtract with Numbers in Standard Form

To add and subtract with numbers in standard form students...
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Schemes of Work for Maths Teachers and Schools

Schemes of Work for Maths Teachers and Schools

Schemes of Work for Maths Teachers As a Head of...
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Solving Problems with Non-Right-Angled Triangles

Solving Problems with Non-Right-Angled Triangles

Solving Problems with Non-Right-Angled Triangles Solving problems with non-right-angled triangles...
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Factorising algebraic expressions with powers

Factorising algebraic expressions with powers

When factorising algebraic expressions with powers students often struggle to...
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Extending transformations beyond shapes on a grid

Extending transformations beyond shapes on a grid

While I was teaching a higher GCSE class about  Reflections,...
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Best secondary school maths websites

Best secondary school maths websites

Here is a list of what I consider to be...
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Behaviour Management in a Mathematics Lesson

Behaviour Management in a Mathematics Lesson

As we approach the end of the first term I...
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Planning ahead in the summer term with your maths department

Planning ahead in the summer term with your maths department

As we prepare to say goodbye to our exam classes I...
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Pythagoras Theorem in 3D Shapes

Pythagoras Theorem in 3D Shapes

Many problems involve three-dimensional objects or spaces.  Pythagoras Theorem in...
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Drawing Frequency Trees for GCSE Maths

Drawing Frequency Trees for GCSE Maths

Drawing frequency trees for GCSE maths is a new topic...
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How to calculate speed using ratio notation

How to calculate speed using ratio notation

Whenever I teach how to calculate speed as a measure of distance...
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nth term of a geometric sequence

nth term of a geometric sequence

GCSE foundation and higher maths students are now expected to...
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Area of rectangles for a mixed ability maths class

Area of rectangles for a mixed ability maths class

Finding the area of a rectangle is such a key...
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Best of 2016 Mr Mathematics Blog

Best of 2016 Mr Mathematics Blog

I've loved creating content for the Mr Mathematics blog this year...
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Plan and elevation drawings of 3D shapes

Plan and Elevation Drawings of 3D shapes

Being able to construct plan and elevation drawings of 3D...
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Simultaneous Equations through Elimination

Simultaneous Equations through Elimination

Being able to solve a pair of simultaneous equations through...
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Dividing with mixed numbers

Dividing with mixed numbers

Dividing with mixed numbers and top-heavy fractions is one of...
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How to Visualise Dividing with Fractions

How to Visualise Dividing with Fractions

Students first learn how to divide with fractions in year...
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Finding the mean average from a frequency table

Finding the mean average from a frequency table

In this blog I will discuss finding the mean average from a...
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5 ways how to connect factor pairs to other areas of maths

5 ways how to connect factor pairs to other areas of maths

How to connect factor pairs to other areas of maths...
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Preparing your mathematics department for open evening

Preparing your mathematics department for open evening

Preparing your mathematics department for open evening Here’s how to...
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Importance of Place Value in Mathematics

Importance of Place Value in Mathematics

Importance of Place Value in Mathematics Understanding place value is...
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Setting up your Maths Classroom

Setting up your Maths Classroom

Setting up your Maths Classroom If you’re new to teaching...
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Homework ideas for Mathematics Lessons

Homework ideas for Mathematics Lessons

Homework ideas for Mathematics Lessons I wanted to share some fairly...
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Geometrical Reasoning in Key Stage 3

Geometrical Reasoning in Key Stage 3

Geometrical Reasoning in Key Stage 3 This term I am...
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Mathematics Lessons

Mathematics Lessons

As a Head of Mathematics in the South East of...
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Multiplying with Negatives

Multiplying with Negatives

I like to teach multiplying with negatives in a similar...
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Teaching Algebraic Notation

Teaching Algebraic Notation

There is thought amongst students that teaching algebraic notation involves...
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starter in a maths lesson

Starter in a Maths Lesson

How we use the starter in a maths lesson will...
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Marking mathematics exercise books - Life without Levels

Marking mathematics exercise books – Life without Levels

For me marking mathematics exercise books is about showing I...
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Tool Kit for Teaching Maths to Mixed Ability Year Seven

Tool Kit for Teaching Maths to Mixed Ability Year Seven

Teaching mixed ability maths students in at secondary school is...
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Mixed-Ability-Year-7-Blog

My New Year Seven Maths Group

This morning I wanted to get to know my new...
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Efficient Calculator Methods for Percentages Changes

Efficient Calculator Methods for Percentages Changes

Using efficient calculator methods for percentages changes can be a...
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An illustrative way of adding fractions

An illustrative way of adding fractions

I have recently taken on a middle year 11 set...
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Percentage Foundation

Getting ready for the new GCSE Mathematics course

In the summer of 2017 young mathematicians around the country...
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Sequences through Programming

Sequences through Programming

Whenever I teach the nth term of linear sequences through...
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How to Construct Loci

How to Construct Loci

The power of student's intuition is something I try to...
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Algebra Investigation Lesson Starter

Algebra Investigation Lesson Starter

To start a lesson on factorising quadratics with my top...
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Box Plots and Whisker Diagrams

Box Plots and Whisker Diagrams

Earlier this week the school I work at was inspected....
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Top Tips for Differentiating for the Most Able in a Mathematics Lesson

Top Tips for Differentiating for the Most Able in a Mathematics Lesson

Tip 1 – Proof Proof in mathematics challenges students to...
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Gambling in Maths

Gambling in Maths

This is the second lesson in a probability project where...
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Experimental Probability

Experimental Probability

I love teaching probability. For me, it is not necessarily...
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Showing Progress during a Mathematics Lesson

Showing Progress during a Mathematics Lesson

Demonstrating student progression during a mathematics lesson is about understanding the...
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Introducing Pythagoras' Theorem

Introducing Pythagoras’ Theorem

One of my happiest memories of learning mathematics at secondary...
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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 […]