Number Properties

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Number Properties

Factor Pairs of Numbers and Terms

Students learn how to find all the factor pairs of numbers and terms.  More able are taught to find the factors ...

Finding Prime Factors

Students learn about finding prime factors of a number.  This lesson builds on understanding what prime numbers ...

Finding Prime Numbers

Students learn about finding prime numbers using factor pairs and the Sieve of Eratosthenes.  Throughout the les...

Finding the Highest Common Factor

Students learn about finding the highest common factor of numbers and terms.  More able student learn how to fin...

Multiples of numbers and expressions

Students learn how to calculate multiples of numbers and expressions.  As learning progresses they move on to fi...

Square Numbers and Square Roots

Students learn how to calculate square numbers and square roots.  They are taught to use visualisation, written ...

Short Multiplication

The start of the lesson reviews using the times table grid to calculate the products of two integers.   The deve...

Short Division

The start of the lesson reviews calculating the products of single digit integers.   The development phase build...

Prime Numbers

To define what makes a prime number students begin the lesson by calculating factors of several integers.  Prime...

Place Value

The start of the lesson reviews writing numbers as words by completing a cross number puzzle.   The development ...

Multiples of a Number

The lesson begins by recapping short multiplication using times tables up to 12 x 12.  In the main part of the l...

Factors of an Integer

The start of the lesson involves organising integers within a Venn diagram according to their number properties....

BODMAS and the Order of Operations

The start of the lesson challenges the class to create the numbers one to ten inclusive using a combination of k...

Addition and Subtraction with Integers

Students learn how to add and subtract with integers using the column method.  By using the place value table st...

Using Calculator Efficiently

The start of the lesson reviews basic calculator operation using the order of operations and place value to calc...

Square and Cube Numbers

Students are introduced to the concept of square and cube numbers through the use of diagrams of volumes and are...

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 […]