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...

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

Practical Tips for Using Mini-Whiteboards in a Mathematics Lesson

In this blog I will share some practical tips for using mini-whiteboards in a mathematics lesson.  I use mini-whiteboards nearly every lesson because they help the students show me the progress they are making.  When I understand what the misconceptions are I am able to address them in subsequent examples as part of my feedback.  […]

Showing Progress during a Mathematics Lesson

Demonstrating student progression during a mathematics lesson is about understanding the learning objective and breaking that down into explicit success criteria. Using Success Criteria Take, for example, a lesson on calculating the area of compound rectilinear shapes. The intended learning objective was written on the main whiteboard. Success criteria were used to break down the individual […]

Plotting and Interpreting Conversion Graphs

Plotting and interpreting conversion graphs requires linking together several mathematical techniques.  Recent U.K. examiner reports indicate there are several common misconceptions when plotting and interpreting conversion graphs.  These include: drawing non-linear scales on the x or y axis, using the incorrect units when converting between imperial and metric measurements, taking inaccurate readings from either axis not […]