Chapter 7 - Ratio & Proportion
NC Standard -- Ratios & Proportional Relationships
NC Standard -- Ratios & Proportional Relationships
Lessons
1-Ratios
2-Unit Rates
3-Equivalent Ratios & Rates
4-Using Ratios to Convert Measurement Units
5-Understanding Percents
6-Percents, Fractions, and Decimals
7-Finding the Percent of a Number
8-Finding the Whole
NC.6.RP.1 Understand the concept of a ratio and use ratio language to:
Describe a ratio as a multiplicative relationship between two quantities.
Model a ratio relationship using a variety of representations.
Understand ratio concepts and use ratio reasoning to solve problems.
NC.6.RP.2 Understand that ratios can be expressed as equivalent unit ratios by finding and interpreting both unit ratios in context.
Understand ratio concepts and use ratio reasoning to solve problems.
NC.6.RP.3 Use ratio reasoning with equivalent whole-number ratios to solve real-world and mathematical problems by:
● Creating and using a table to compare ratios.
● Finding missing values in the tables.
● Using a unit ratio.
● Converting and manipulating measurements using given ratios.
● Plotting the pairs of values on the coordinate plane.
NC.6.RP.3 Use ratio reasoning with equivalent whole-number ratios to solve real-world and mathematical problems by:
● Creating and using a table to compare ratios.
● Finding missing values in the tables.
● Using a unit ratio.
● Converting and manipulating measurements using given ratios. ● Plotting the pairs of values on the coordinate plane.
NC.6.RP.4 Use ratio reasoning to solve real-world and mathematical problems with percents by:
● Understanding and finding a percent of a quantity as a ratio per 100. ● Using equivalent ratios, such as benchmark percents (50%, 25%, 10%, 5%, 1%), to determine a part of any given quantity.
● Finding the whole, given a part and the percent.
NC.6.RP.4 Use ratio reasoning to solve real-world and mathematical problems with percents by:
● Understanding and finding a percent of a quantity as a ratio per 100. ● Using equivalent ratios, such as benchmark percents (50%, 25%, 10%, 5%, 1%), to determine a part of any given quantity.
● Finding the whole, given a part and the percent.
NC.6.RP.4 Use ratio reasoning to solve real-world and mathematical problems with percents by:
● Understanding and finding a percent of a quantity as a ratio per 100. ● Using equivalent ratios, such as benchmark percents (50%, 25%, 10%, 5%, 1%), to determine a part of any given quantity.
● Finding the whole, given a part and the percent.
NC.6.RP.4 Use ratio reasoning to solve real-world and mathematical problems with percents by:
● Understanding and finding a percent of a quantity as a ratio per 100. ● Using equivalent ratios, such as benchmark percents (50%, 25%, 10%, 5%, 1%), to determine a part of any given quantity.
● Finding the whole, given a part and the percent.
What you must be able to do...
NC.6.RP.1 Understand the concept of a ratio and use ratio language to:
Describe a ratio as a multiplicative relationship between two quantities.
Model a ratio relationship using a variety of representations.
NC.6.RP.2 Understand that ratios can be expressed as equivalent unit ratios by finding and interpreting both unit ratios in context.
NC.6.RP.3 Use ratio reasoning with equivalent whole-number ratios to solve real-world and mathematical problems by
Creating and using a table to compare ratios.
Finding missing values in the tables.
Using a unit ratio.
Converting and manipulating measurements using given ratios.
Plotting the pairs of values on the coordinate plane.
NC.6.RP.4 Use ratio reasoning to solve real-world and mathematical problems with percents by:
Understanding and finding a percent of a quantity as a ratio per 100.
Using equivalent ratios, such as benchmark percents (50%, 25%, 10%, 5%, 1%), to determine a part of any given quantity.
Finding the whole, given a part and the percent