Unit D: Ratios and Proportional Relationships
Listed below are the NYS Grade 6 Common Core Performance Standards for Unit D: Ratio and Proportion.
With each Performance Standard are "I Can Statements" students work on throughout the course of the Unit. At the end of the Unit, the students will be assessed on their ability to perform the actions in each "I Can Statement."
Finally, under the "I Can Statements" are a list of Topics. You will find extra practice resources, videos, class notes, and homework answers by clicking on the appropriate link.
Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.
Understand the concept of a unit rate a/b associated with a ratio a : b with b is not equal to 0, an use rate language in the context of a ratio relationship.
"I Can Write a Ratio Comparing Two Quantities Given a Real-World Situation."
"I Can Find the Value of a Ratio as a Fraction, Decimal, or Percent."Writing Ratios
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.
"I Can Generate Equivalent Ratios and Determine if Ratios are Equivalent."
"I Can Apply the Concept of Generating Equivalent Ratios to Solve Real-World Problems."
"I Can Connect a Ratio and a Rate to its Table, Graph, or Equation."
"I Can Use the Information Presented in a Table, Graph, or Equation to Interpret Rates in Real-World Contexts."Equivalent
Ratios (Solving Proportions)Applying the Bar Diagram to
Solve Ratio ProblemsConnecting and Comparing Ratios in Tables, Graphs, and Equations
Solve unit rate problems including those involving unit pricing and constant speed.
Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.
"I Can Calculate Unit Rate and Unit Price and Compare their Values to Interpret Real-World Situations.""I Can Solve Real-World Problems by Comparing Rates, Prices, and Units of Measurement."
Comparing Unit RatesUsing Unit Rates to
Find Equivalent RatesComparing and Converting
Units of Measure
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 part and the percent.
"I Understand How Percents and Ratios are Related and Can Use Percents to Solve Real-World Problems."
"I Can Solve Real-World Problems by Applying Percents to Calculate Tax, Tip, and Discount."Introduction to Using Percents