There are 16 career clusters leading to various career pathways. Instructors can incorporate these clusters into curriculum design and instruction. Adult education services will include workforce preparation activities and training for specific occupations; this will allow students to achieve their educational and career goals. For a listing and description of these career clusters, please click on the link below.
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.
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
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
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.”
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
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.
Recognize and represent proportional relationships between quantities.
Standards for Mathematical Practice
Reason abstractly and quantitatively. (MP.2)
Model with mathematics. (MP.4)
Use appropriate tools strategically. (MP.5)
KYAE Employability Standards
E.7 Accurately analyze information and respond appropriately.
E.8 Interact with others in a professional manner.
