Grade 6 Math Concepts

The concept of Understanding Ratios is best defined as a comparison of two quantities.

• A comparison of two quantities

• A relation describing the difference between numbers

• A method of multiplication

• A fraction operation

Equivalent Ratios involve multiplying or dividing both terms by the same number to maintain the relationship. Which method accurately uses equivalent ratios?

• Multiply or divide both terms by the same number

• Add a constant to each term

• Multiply one term and divide the other

• Square both terms

Rate Concepts refer to measures of change per unit time.

• They are measures of change per unit time.

• They are methods to calculate percentages.

• They refer to constant values.

• They are unrelated to time.

Use the unit rate method to find an equivalent ratio by first computing the unit rate (dividing the numerator by the denominator) and then multiplying this unit value by the desired quantity.

• Divide to get the unit rate, then multiply by the desired number to obtain an equivalent ratio.

• Multiply both terms of the ratio directly by the same number.

• Add the same number to both terms of the ratio.

• Subtract the unit rate from the ratio and then multiply.

Explain how to use Unit Rate to Compare Ratios.

• Convert each ratio into its unit rate and then compare the values.

• Multiply each part of the ratios by the same number and compare.

• Subtract the smaller value from the larger in each ratio and compare.

• Add the values in each ratio and compare the sums.

The process of using Unit Rate to Convert Measurements involves dividing the original measurement by the given unit rate to change the measurement.

• Multiplying the original measurement by the unit rate.

• Dividing the original measurement by the unit rate.

• Adding the unit rate to the original measurement.

• Subtracting the unit rate from the original measurement.

Understanding Percents is the concept of representing numbers as a fraction of 100.

• It represents numbers as a fraction of 100

• It converts fractions into decimals only

• It expresses numbers as ratios of 10

• It calculates percentage increases only

A percent of a quantity is found by multiplying the quantity by the percent and then dividing by 100.

• Multiply the quantity by the percent value and then divide by 100

• Divide the quantity by the percent and multiply by 100

• Add the percent value to the quantity

• Multiply the quantity by 100 and then divide by the percent

The method of Finding the Whole is determined by dividing the known part by its fractional representation.

• Multiply the known part by the fraction.

• Divide the known part by its fraction.

• Add a percentage to the known value.

• Subtract the fractional part from the known value.

Understanding Division with Fractions involves the process of multiplying by the reciprocal.

• Multiplying by the reciprocal

• Adding numerators

• Subtracting denominators

• Using long division