Math Units Page

Lesson Purpose

This lesson will assist students in understanding the concepts of ratio and rate.  Use of the concept learned and process on how to set up rates and ratios.  The instructor will write the lesson purpose and objectives on the board.

Students will demonstrate their understanding of the concept of a ratio by using ratio language to describe relationships between quantities.

Ratio and rate is important because it will give students the knowledge of utilizing the concepts learned in real life.  Some of the tasks students will be able to perform by understanding these concepts are: solve geometric problems, measuring problems, calculate recipes, calculate driving distances and cost, etc… Students will be able to use this at work when mixing ingredients to meet specified requirements of things like spices, batter, explosives, and chemicals.

A prerequisite to this lesson  is understanding rational numbers.  The opening conversation will reveal how each student could use these skills in real-life situations.  For example:  What is the unit cost of one soda from a case?  What is the distance between two locations on a map with a 1 inch scale? How many miles per gallon does your car average?

Related Documents

Lesson Objectives

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

• set-up and reduce ratios.
• set up and determine unit rates.

Student Target

“I can

• write and reduce ratios when given context."
• find unit rates in everyday personal and professional situations.”

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.

• 7.RP.1

  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.

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.1

  Make sense of problems and persevere in solving them. (MP.1)

• MP.4

  Model with mathematics. (MP.4)

• MP.8

  Look for and express regularity in repeated reasoning. (MP.8)

KYAE Employability Standards

• E.7

  E.7 Accurately analyze information and respond appropriately.

• E.9

  E.9 Analyze self-performance to better understand strengths and areas for improvement.