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MathematicsRatio & ProportionAges 12–14

Ratio Notation and Relationships

Understand that a multiplicative relationship between two quantities can be expressed as a ratio; use ratio notation; simplify ratios

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Can your child explain why a ratio like 3:4 is really the same as the fraction ¾ — and show how that relationship connects to a straight-line graph through the origin?

Understand that a multiplicative relationship between two quantities can be expressed as a ratio; use ratio notation; simplify ratios

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Check understanding

  • Explain why 'for every 2 red beads there are 5 blue beads' can be written as 2:5 or as 2/5 of the blue count
  • Identify the multiplicative relationship in a table of values (e.g. y is always 3 times x)
  • Connect the ratio a:b to the fraction a/b and to the linear function y = (a/b)x
“Can your child explain why a ratio like 3:4 is really the same as the fraction ¾ — and show how that relationship connects to a straight-line graph through the origin?”

Curriculum record

Type
Conceptual
Subject
Mathematics
Domain
Ratio & Proportion
Age range
Ages 12–14

Standards

ccss-math:7.RP.2ccss-math:7.RP.2accss-math:7.RP.2cuk-nc-2013:KS3.Maths.Ratio.6uk-nc-2013:KS3.Maths.Ratio.7