GCSE

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GCSE

Gradient of Straight Line Graphs

The start of the lesson reviews calculating the mid-point for line segments with different gradients.  The devel...

Plotting Straight Lines from Two Points

Students begin to plot equations in the form ax + by = c by substituting in x= 0 along the yaxis and y= 0 along ...

Geometrical Proof with Vectors

Students learn how to use vector notation to prove geometrical facts about 2D shapes.  Throughout the lesson stu...

Vector Addition and Subtraction

Students learn how to perform vector addition and subtraction using column notation.  As learning progresses stu...

Solving Complex Quadratics by Factorising

In this mathematics lesson students learn how to solve quadratics in the form ax2 + bx + c = 0 through factorisa...

Solving Quadratics by Factorising

Students learn to solve quadratic equations by factorising quadratic equations when the coefficient of x2 is one...

Sketching Quadratic Graphs

In this mathematics lesson students learn how to sketch quadratics by identifying the y intercept, roots and tur...

Using the Quadratic Formula to Solve Equations

In the development phase the teacher is provided with several examples to demonstrate solving equations using th...

Quadratic and Linear Simultaneous Equations

To solve a quadratic and linear equation simultaneously students first review the elimination method for two lin...

Completing the Square

The method of Completing the Square is introduced through recognising a need to solve a quadratic when it can no...

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....

Mr Mathematics Blog

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 […]

Calculating Instantaneous Rates of Change

When calculating instantaneous rates of change students need to  visualise the properties of the gradient for a straight line graph.   I use the starter activity to see if they can match four graphs with their corresponding equations. The only clue is the direction and steepness of the red lines in relation to the blue line […]

Converting Between Fractions, Decimals and Percentages

Fractions, decimals and percentages are ways of showing a proportion of something.  Any fraction can be written as a decimal, and any decimal can be written as a percentage.  In this blog I discuss how to use the place value table and equivalent fractions to illustrate how fractions, decimals and percentages are connected. You can […]