Dosage Calculation and Proportions

This video tutorial explains a one-step dosage calculation for penicillin. It begins with a problem statement requiring the calculation of how much drug to administer. The solution involves setting up a proportion, ensuring units are consistent, and using cross multiplication to solve for the unknown. The process includes simplifying the equation and converting the result to a decimal, concluding with the final dosage amount.

What is the initial order of penicillin units given in the problem?

• 200,000 units

• 150,000 units

• 100,000 units

• 250,000 units

Tags

CCSS.6.RP.A.3B

What is the concentration of penicillin available on hand?

• 250,000 units per milliliter

• 200,000 units per milliliter

• 150,000 units per milliliter

• 100,000 units per milliliter

Tags

CCSS.6.RP.A.3B

What mathematical method is used to solve the dosage calculation problem?

• Addition

• Subtraction

• Proportion

• Multiplication

Tags

CCSS.6.RP.A.3B

In setting up the rates, what is the unknown variable represented by?

• W milliliters

• X milliliters

• Z milliliters

• Y milliliters

Tags

CCSS.6.RP.A.3B

Why is it important to ensure the units in the numerator and denominator are the same before cross-multiplying?

• To increase complexity

• To avoid additional conversion

• To make the equation longer

• To simplify the problem

Tags

CCSS.7.RP.A.3

What is the equation formed after cross-multiplying the rates?

• 150,000X = 100,000

• 250,000X = 150,000

• 150,000X = 250,000

• 250,000X = 100,000

Tags

CCSS.7.NS.A.3

What is the simplified fraction form of the solution for X?

• 1/5

• 4/5

• 3/5

• 2/5

What is the decimal equivalent of the fraction 3/5?

• 0.7

• 0.5

• 0.4

• 0.6

Tags

CCSS.3.MD.A.2

How many milliliters of penicillin need to be administered?

• 0.4 milliliters

• 0.5 milliliters

• 0.7 milliliters

• 0.6 milliliters

Tags

CCSS.7.RP.A.3

What is the final step in the dosage calculation process?

• Identifying the unknown

• Cross-multiplying

• Setting up the rates

• Converting the fraction to a decimal

Tags

CCSS.7.RP.A.3