Career Clusters

Lesson Purpose

This lesson is the second part of Module 6 for the SRNA program. The purpose of this lesson is to have students comfortably reason, create, and perform calculations among ratios in three different ways:

• Simple written ratio/proportion

• Ratio data tables

• Graphs on a coordinate plane

This lesson will help students navigate between all three at ease and “bring it all together.” Most high-stakes exams, such as the GED® Test, KYOTE, and others will expect students to have skills in all three of these areas and be able to do calculations or produce meaningful statements about data. This lesson also calls on students to compare rates. This is significant because students will often be asked in exams, on the job, or in their everyday lives to make a judgment call on the “better” rate, given two ratios not in a unit rate. Higher-order reasoning skills are honed when students make qualitative inferences from mathematical data and relationships. To this end, SRNA and medical related/specific items are given as problem samples whenever possible.

Related Documents

Lesson Objectives

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

• Build upon their ratio reasoning skills using data tables, and graphs. 
• Identify which data table or graph is the solution to a word problem.
• Use ratios to predict and model future events.
• Understand and calculate unit rate.
• Compare unit rates.

Student Target

“I can

• Create two of:  written ratio, data table, and graph, when given the other.”
• Predict future events given a ratio in any format.”
• Compare two or more ratios and make a qualitative statement about the data.”
• Calculate and compare unit rates.”

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.

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.

• 6.RP.3b

  Solve unit rate problems including those involving unit pricing and constant speed. For example, if it took 7 hours to mow 4 lawns, then at that rate, how many lawns could be mowed in 35 hours? At what rate were lawns being mowed?
  

Standards for Mathematical Practice

• MP.4

  Model with mathematics. (MP.4)

• MP.5

  Use appropriate tools strategically. (MP.5)

• MP.2

  Reason abstractly and quantitatively. (MP.2)

KYAE Employability Standards

• E.3

  E.3 Model compliance of workplace policies and procedures.

• E.8

  E.8 Interact with others in a professional manner.