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MathematicsRatio & ProportionAges 11–12

Ratio Notation

Use ratio notation to describe the relationship between two or more quantities, simplify ratios to their simplest form, and convert between ratio and fraction representations

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“If a smoothie recipe uses orange juice and mango juice in the ratio 3:2, can your child simplify that ratio, express it as a fraction, and work out how much of each is needed for a given total amount?”

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  1. Activity. Use ratio notation to describe the relationship between two or more quantities, simplify ratios to their simplest form, and convert between ratio and fraction representations

What to notice. Write a ratio from a word problem and simplify it (e.g. 12:8 = 3:2) • Convert a ratio to equivalent fractions of a whole (e.g. 3:2 means 3/5 and 2/5) • Simplify ratios involving decimals or fractions by finding a common multiplier

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If a smoothie recipe uses orange juice and mango juice in the ratio 3:2, can your child simplify that ratio, express it as a fraction, and work out how much of each is needed for a given total amount?

Use ratio notation to describe the relationship between two or more quantities, simplify ratios to their simplest form, and convert between ratio and fraction representations

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Check understanding

  • Write a ratio from a word problem and simplify it (e.g. 12:8 = 3:2)
  • Convert a ratio to equivalent fractions of a whole (e.g. 3:2 means 3/5 and 2/5)
  • Simplify ratios involving decimals or fractions by finding a common multiplier
“If a smoothie recipe uses orange juice and mango juice in the ratio 3:2, can your child simplify that ratio, express it as a fraction, and work out how much of each is needed for a given total amount?”

Curriculum record

Type
Procedural
Subject
Mathematics
Domain
Ratio & Proportion
Age range
Ages 11–12

Standards

ccss-math:6.RP.1uk-nc-2013:KS3.Maths.Ratio.4