Lesson 3- 6.4b Predict and Compare Ratios

Front

What is a ratio?

Back

A ratio is a relationship between two quantities, showing how many times one value contains or is contained within the other.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms of the ratio by their greatest common divisor (GCD).

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If the ratio of boys to girls is 5:4 and there are 60 girls, how do you find the number of boys?

Back

Set up the proportion 5/4 = boys/60. Cross-multiply and solve for boys.

Tags

CCSS.7.RP.A.3

Front

What is the formula to find the total number of items when given a ratio and one quantity?

Back

If the ratio is a:b and you know the quantity of a, use the formula: total = (a + b) * (known quantity of a / a).

Front

How do you calculate earnings based on hours worked and a rate?

Back

Multiply the number of hours worked by the hourly rate to find total earnings.

Tags

CCSS.7.EE.B.3

Front

What is the relationship between ratios and proportions?

Back

A proportion states that two ratios are equal, allowing for the comparison of different quantities.

Tags

CCSS.6.RP.A.3A

Front

How can you find the number of items in a different category using a known ratio?

Back

Use the known quantity and the ratio to set up a proportion and solve for the unknown quantity.

Front

What is the significance of place value in numerical answers?

Back

Place value determines the value of a digit based on its position in a number, which is crucial for accuracy in calculations.

Tags

CCSS.6.NS.B.3

Front

How do you convert a ratio into a fraction?

Back

A ratio a:b can be expressed as the fraction a/(a+b) or b/(a+b) depending on the context.

Tags

CCSS.6.RP.A.2

CCSS.6.RP.A.1

Front

What is the method to find the total number of items when given a ratio of two categories?

Back

Add the parts of the ratio together and then use the known quantity to find the total.