GCSE

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GCSE

Adding and Subtracting in Standard form

Students learn how to use non-calculator methods to solve addition and subtraction problems involving standard f...

Addition and Subtraction with Fractions and Mixed Numbers

Students learn how to perform addition and subtraction with fractions and mixed numbers.  As learning progresses...

Applying Circle Theorems Involving Tangents

Students learn about applying circle theorems involving tangents to solve complex problems.  The alternate segme...

Applying Multiple Circle Theorems

Students learn about applying multiple circle theorems to solve complex problems. The relevant circle theorems a...

Calculating a Repeated Percentage Change

Students learn how to calculate a repeated percentage change using decimal multipliers.  As learning progresses ...

Estimating the Area Under a Curve

Students learn about estimating the area under a curve using the trapezium rule.  As learning progresses they in...

Expanding Cubic Expressions

Students learn how to write the product of three binomials by expanding a cubic expression. Learning progresses ...

Factorising Expressions with Powers

Students learn how to factorise expressions with powers by taking out the highest common factor.  As learning pr...

Form and Solve Quadratic Equations

Students learn how to form and solve quadratic equations from geometry problems.  Problems include finding the a...

Frequency Trees

Students learn how to create frequency trees from two-way tables and written descriptions.  As learning progress...

Instantaneous Rates of Change

Students learn how to calculate and interpret instantaneous rates of change in different contexts.  By drawing a...

Metric Units of Area and Volume

Students learn how to convert between metric units of area and volume using diagrams and proportional reasoning....

Proportion and Recipes

Students learn how to use proportion and ratio notation to adjust recipes for different amounts.  As learning pr...

Pythagoras’ Theorem in 3D

Students learn how to calculate unknown lengths in cuboids and other solids by applying Pythagoras' Theorem in ...

Solving Quadratic Identities

Students learn how to solve quadratic identities by completing the square and equating terms. As learning progre...

Union and Intersection of Sets

Students learn how to calculate the union and intersection of sets using Venn diagrams.  As learning progresses ...

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 […]