Ratio and Proportion

Showing all 11 results

Ratio and Proportion

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Interactive Lessons

Calculating Speed, Distance and Time

Using ratio notation students learn how to calculate the speed when given distance and time.  As learning progre...
Key Stage 3 / Year 8 Term 3
Interactive Lessons
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Interactive Lessons

Direct Proportion and Exchange Rates

Using equivalent ratios and the unitary method students learn how to calculate amounts that are in direct propor...
Key Stage 3 / Year 8 Term 3
Interactive Lessons
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Interactive Lessons

Ratio and Equivalent Proportions

Students learn how to use ratio and equivalent proportions to write a ratio as a fraction and percentage.  Using...
Key Stage 3 / Year 8 Term 3
Interactive Lessons
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Interactive Lessons

Scale Drawings

Students learn how to draw diagrams to a scale using ratio notation.  As learning progresses they learn how to c...
Key Stage 3 / Year 8 Term 3
Interactive Lessons
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Free Resources

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...
Key Stage 3 / Year 8 Term 3
Free Resources
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Interactive Lessons

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...
Key Stage 3 / Year 8 Term 3
Interactive Lessons
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Interactive Lessons

Simplifying Ratios

The start of the lesson is used to review matching simple proportions with their corresponding diagrams.  The de...
GCSE / Year 9 Term 2
Interactive Lessons
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Interactive Lessons

Sharing to a Ratio

The start of the lesson is used to review sharing a sum of money equally between three people.   The development...
GCSE / Year 9 Term 2
Interactive Lessons
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Interactive Lessons

Proportional Reasoning

The start of the lesson is used to review simplifying and calculating equivalent ratios.   The development phase...
GCSE / Year 9 Term 2
Interactive Lessons
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Interactive Lessons

Modelling Inverse Proportion

Students learn how to model inverse proportion problems using the constant of variation, k.  As learning progres...
GCSE / Year 10 Term 6
Interactive Lessons
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Interactive Lessons

Direct Linear Proportion

Students learn how to model variables in direct linear proportion using the constant of proportionality, K.  As ...
GCSE / Year 10 Term 6
Interactive Lessons

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Mr Mathematics Blog

Calculating the Volume of a Pyramid

March 10, 2019
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

March 4, 2019
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

January 29, 2019
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 […]