GCSE

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GCSE

3 Part Ratios

Students learn how to use proportional reasoning to solve problems involving 3-part ratios.  As learning progres...

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

The alternate segment theorem and angle between a radius and tangent are used to solve complex geometry problems...

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 ...

Revising Adding and Subtracting Fractions

Students revise how to add and subtract fractions and mixed numbers with different denominators.  Learning progr...

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 […]