Math Units Page

Lesson Purpose

This lesson is designed to enhance student numeracy by introducing students to ratio reasoning with and without pre-defined quantities. Students will use a double number line to make sense of and solve for equivalent ratios as they would occur in the health sciences field as well as real-life situations. 

Related Documents

Lesson Objectives

At the end of this lesson, students will be able to

• write ratios correctly.
• calculate the unknown in a proportional relationship using a double number line.

Student Target

“I can use a double number line to solve for an unknown quantity in a proportional relationship.”

CCR Focus Standards

Number and Ratios - Level D

• 6.RP.3

  Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.

Number and Ratios - Level C

• 6.RP.1

  Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. For example, “The ratio of wings to beaks in the bird house at the zoo was 2:1, because for every 2 wings there was 1 beak.” “For every vote candidate A received, candidate C received nearly three votes.”
  

• 6.RP.2

  Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship. For example, “This recipe has a ratio of 3 cups of flour to 4 cups of sugar, so there is 3/4 cup of flour for each cup of sugar.” “We paid $75 for 15 hamburgers, which is a rate of $5 per hamburger.”
  

Supporting Standards

• 6.RP.3a

  Make tables of equivalent ratios relating quantities with whole- number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.

• 7.RP.2

  Recognize and represent proportional relationships between quantities.

Standards for Mathematical Practice

• MP.2

  Reason abstractly and quantitatively. (MP.2)

• MP.4

  Model with mathematics. (MP.4)

• MP.5

  Use appropriate tools strategically. (MP.5)

KYAE Employability Standards

• E.7

  E.7 Accurately analyze information and respond appropriately.

• E.8

  E.8 Interact with others in a professional manner.