Ratio and Proportion

What is the resource?

This PDF explains what ratios are, how to write them, and their relationship to proportions.  Designed for secondary/older learners new to the concept.

Why are ratios and proportions important?

They make working with variable-size quantities manageable & precise:

• Recipe scaling: Want to triple a recipe? Ratios keep the relationship between ingredients correct.
• Technical drawings: Model planes need to use scaled-down ratios - the proportions have to be exact.
• Mixing solutions: Whether paint toner or in scientific labs, ratio accuracy is vital for a consistent product.
• Data analysis: Comparing results from groups of 10 vs 1000... proportion lets us spot true trends.

Why is this resource helpful?

This breaks down a tricky concept so even learners overwhelmed by maths can gain traction:

• Clear definitions: Doesn't rehash textbook language, gives real-world-based explainers for 'why we care'.
• Varied examples: Word problems, ratios between shapes... this prevents kids from locking onto only one format.
• Step-by-step process: Simplifying, using proportions, these core tasks are shown logically & methodically.
• Printable PDF: Teachers can give all learners an identical starting point, and then customise later tasks easily.

This builds ratio fluency. Kids start 'playing'  with numbers in these relationships, which removes intimidation of a seemingly tricky skill.

Also, have a look at our wide range of worksheets that are specifically curated to help your students practice their skills related to ratio and proportions. These teaching resources and worksheets are in PDF format and can be downloaded easily.