This lesson will deepen and make connections with students’ prior work with percent and fraction equivalencies. Students will see how the relationship between numbers applies to proportional relationships, and how these relationships are used in the healthcare field.
At the end of this lesson, students will be able to:
Explain what ratios and proportions are
Simplify ratios
Find a unit rate
Solve for a missing proportion
Student Target
“I can solve ratio and proportion problems.”
CCR Focus Standards
Number and Ratios - Level D
Represent proportional relationships by equations. For example, if total cost t is proportional to the number n of items purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t = pn.
Algebra and Functions - Level D
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.”
Supporting Standards
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."
Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction (1/2)/(1/4) miles per hour, equivalently 2 miles per hour.
Recognize and represent proportional relationships between quantities.
Standards for Mathematical Practice
Make sense of problems and persevere in solving them. (MP.1)
Look for and express regularity in repeated reasoning. (MP.8)
KYAE Employability Standards
E.6 Identify and effectively use skills and materials needed for a particular task.
E.7 Accurately analyze information and respond appropriately.
E.9 Analyze self-performance to better understand strengths and areas for improvement.
