Ratio and Proportion

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Ratio and Proportion

3 Part Ratios

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

Calculating Speed, Distance and Time

Using ratio notation students learn how to calculate the speed when given distance and time.  As learning progre...

Direct Proportion and Exchange Rates

Using equivalent ratios and the unitary method students learn how to calculate amounts that are in direct propor...

Inverse Proportion

Students learn how to use ratio notation and multiplicative reasoning to calculate values that are inversely pro...

Ratio and Equivalent Proportions

Students learn how to use ratio and equivalent proportions to write a ratio as a fraction and percentage.  Using...

Revising Equivalent Ratios

Students revise how to use equivalent ratios to solve problems involving proportional reasoning.  As learning pr...

Scale Drawings

Students learn how to draw diagrams to a scale using ratio notation.  As learning progresses they learn how to c...

Sharing in a Given Ratio

Students learn how to divide a quantity into two or more parts when given a ratio.  As learning progresses stude...

Writing Ratios in their Simplest Form

Key stage 3 lesson where students learn about writing ratios in their simplest form using the highest common fac...

Simplifying Ratios

The start of the lesson is used to review matching simple proportions with their corresponding diagrams.  The de...

Sharing to a Ratio

The start of the lesson is used to review sharing a sum of money equally between three people.   The development...

Proportional Reasoning

The start of the lesson is used to review simplifying and calculating equivalent ratios.   The development phase...

Modelling Inverse Proportion

Students learn how to model inverse proportion problems using the constant of variation, k.  As learning progres...

Direct Linear Proportion

Students learn how to model variables in direct linear proportion using the constant of proportionality, K.  As ...

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 […]