Math Units Page

Lesson Purpose

This lesson builds upon SRNA Module 5 and moves students further in their ratio numeracy, according to the lead standard, with the use of ratio tables, a tool that facilitates proportional reasoning. Students are often taught to calculate and solve for an unknown in a proportion (such as with the ‘butterfly method’) with very little emphasis placed on understanding the relationship between the numbers involved. Superimposing a rule, even a “good” rule, often forces students away from the meaning, and this lesson will provide an alternative method that strengthens student proportional reasoning skills and number sense. Additionally, reasoning with ratio tables provides students opportunities to use multiple pathways to achieve a solution to a problem, and students are able to see discrete ratios along the way toward the main goal.

Related Documents

Lesson Objectives

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

• calculate for the unknown or unknowns in a proportional relationship using a ratio table. 
• construct meaning for number relationships within SRNA specific contexts.  

Student Target

"I can...

• determine the missing number in a ratio table.  
• create a ratio table when given specific context. 

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.

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.6

  E.6 Identify and effectively use skills and materials needed for a particular task.

• E.8

  E.8 Interact with others in a professional manner.