# Percents and Ratios (Grade 6)

Videos and lessons to help Grade 6 students learn to 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.

A. 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

B. 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?

C. Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.

D. Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.

Common Core: 6.RP.3c

### Suggested Learning Targets

• I can demonstrate how a percent is a ratio of a number to 100.
• I can find a percent of a number as a rate per 100.
• I can solve real-world problems involving finding the whole, given a part and a percent
• I can solve problems involving unit pricing and speed.
• I can find a percent of a given quantity involving finding the whole, given a part and the percent.

Related Topics:

 6.RP.1 Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. 6.RP.2 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. 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.

Using ratios to solve percent problems--Lesson 1 of 6 (Common Core Standard 6.RP.3c)
In this lesson you will learn to define percents by using ratios.

Using ratios to solve percent problems--Lesson 2 of 6
In this lesson you will learn to visualize percents by using 10×10 grids.

Using ratios to solve percent problems--Lesson 3 of 6
In this lesson you will learn to compare ratios by using ratio tables and percents.

Using ratios to solve percent problems--Lesson 4 of 6
In this lesson you will learn to calculate the part when you know the percent and the total by using a double number line.

Using ratios to solve percent problems--Lesson 5 of 6
In this lesson you will learn to calculate the total when you know the percent and the part by using a double number line.

Using ratios to solve percent problems--Lesson 6 of 6
In this lesson you will learn to solve percent problems by using a ratio table.

Using a ratio table to solve percent problems.

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.