Chapter 7 - Ratio & Proportion

Math Study Jams - EOG Questions

Lessons

Ratios
Unit Rates
Understanding Proportion
Scaling Proortions
Scale Drawings
Percents, Fractions, and Decimals
Finding the Percent of a Number
Circle Graphs
Estimating with Percents

7.1, Ratio

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.

7.2, Unit Rates

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.

7.1 and 7.2, Equivalent Ratios & Rates

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.

7-2, Using Ratios to Convert Measurement Units

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.

7-3, Understanding Proportion 7-4, Solving Proportion

7-5, Scale Drawings

Not on EOG.

7-6, Percents, Fractions, and Decimals

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.

7.6, Percents, Fractions, and Decimals

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.

7-7, Finding the Percent of a Number

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.

7-7, Finding the Whole

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.

7-8, Circle Graphs

Not on EOG.

7-9, Estimating with Percents

Not on EOG.

Measurement

Understand ratio concepts and use ratio reasoning to solve problems.

NC.6.RP.3 Converting and Manipulating Measurements Students know the conversions facts for:

Distance in the customary system (inches, feet, yards, and miles)
The metric system units and the prefixes: milli, centi, deci, deca, hecto, kilo
Time

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

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