Things to Learn

  • Develop an intuitive understanding of equivalent ratios by using tape diagrams to explore possible quantities of each part when given the part-to-part ratio.
  • Use tape diagrams to solve problems when the part-to-part ratio is given and the value of one of the quantities is given.
  • Formalize a definition of equivalent ratios: Two ratios, 𝐴:𝐵 and 𝐶:𝐷, are equivalent ratios if there is a nonzero number 𝑐 such that 𝐶=𝑐A and 𝐷=𝑐B .

Warm-Up Ratios

Equivalent Ratios

Exercise and Practice

Before You Go