Ratio and Proportion

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Ratio and Proportion

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...

Ratio and Equivalent Proportions

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

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

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 […]