# Ch 50: 6th-8th Grade Math: Rates, Ratios & Proportions

The brief and entertaining video lessons in this chapter on rates, ratios, and proportions teach 6th-8th graders how to solve single and multi-step equations using specific formulas. To make sure that students retain the information, both lesson quizzes and chapter exams are available.

## Chapter Lessons and Objectives

Lesson Objectives
Ratios & Rates: Definitions & Examples Identify how to calculate both rates and ratios.
How to Find the Unit Rate Explore techniques to determine unit rates.
How to Solve a One-Step Problem Involving Ratios Provide a description of a ratio and show methods for solving one-step ratio problems.
How to Solve a One-Step Problem Involving Rates Describe a rate and investigate techniques for calculating the answers to one-step rate problems.
How to Solve Problems with Money Determine and show how to find the total cost by taking the number of units and multiplying it by the cost per each unit.
Proportion: Definition, Application & Examples Explain what a proportion is and identify ways to solve problems with proportions.
Calculations with Ratios and Proportions Go over formulas and include techniques for solving problems with both ratios and proportions.
How to Solve Problems with Time Examine methods for calculating the concept of time.
Distance Formulas: Calculations & Examples Identify techniques for determining distance, and discuss methods for figuring out distance in relation to fuel consumption.
How to Find an Unknown in a Proportion Point out the steps for solving proportions with unknown variables.
Calculating Unit Rates Associated with Ratios of Fractions Discuss the unit rates of area, length, and other measurements, and then show how those rates are described through ratios of fractions.
Proportional Relationships Between Two Quantities Define the proportional relationship between quantities, and then figure out if two quantities are in a proportional relationship by graphing on a coordinate plane or by equivalent ratio testing.
Identifying the Constant of Proportionality In regards to proportional relationships, calculate the constant of proportionality in equations, tables, diagrams, verbal descriptions, and graphs.
Representing Proportional Relationships by Equations Show the steps for solving proportions and for writing proportional relationship equations.
Graphing Proportional Relationships Discuss the connection between the X and Y axes on graphs to proportional relationships, and then address the following: (0, 0) and (1, r), where r is the unit rate.
Proportional Relationships in Multistep Ratio & Percent Problems Analyze multistep percent and ratio problems, and then use proportional relationships to solve these equations.
Constructing Proportions to Solve Real World Problems Investigate techniques for solving application problems through the use of constructed proportions.

Final Exam
Chapter Exam

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