Mathematics·Ratio & Proportion·conceptual
Ratio Notation and Relationships
Understand that a multiplicative relationship between two quantities can be expressed as a ratio; use ratio notation; simplify ratios
Suggested ages 12–14
Evidence of 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
Assessment prompt
Can Ratio Notation and Relationships 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?
Standards alignment
7.RP.2US · ccss-math
Recognize and represent proportional relationships
Common Core State Standards for Mathematics · 7
7.RP.2aUS · ccss-math
Decide whether two quantities are in a proportional relationship
Common Core State Standards for Mathematics · 7
7.RP.2cUS · ccss-math
Represent proportional relationships by equations
Common Core State Standards for Mathematics · 7
KS3.Maths.Ratio.6GB · uk-nc-2013
Multiplicative Relationships
The national curriculum in England: Key stages 1 and 2 framework document · Key Stage 3
KS3.Maths.Ratio.7GB · uk-nc-2013
Relate Ratios to Fractions and Functions
The national curriculum in England: Key stages 1 and 2 framework document · Key Stage 3