Difficulty: Hard

Average Score: 25%

A third-grade student is struggling to convert the fraction 3/4 to a decimal. Which of the following strategies will best help the student?

Rationale

Making a connection to money to show how four quarters make up a dollar.

Using money as a relatable concept helps third-grade students visualize the value of fractions. Since 3/4 represents three out of four equal parts, relating it to quarters provides a tangible way to understand that 3 quarters equals 75 cents, easily translating to the decimal 0.75.

A (Demonstrating how a percent can be converted into decimals or fractions) YOUR ANSWER

While understanding percentages is important, this strategy may confuse a third grader who is still grasping the basics of fractions and decimals. The focus on percentages might divert attention from the specific conversion of 3/4 into a decimal, which is not the most direct or relatable approach for young learners.

C (Explaining that the denominator of a fraction is the total number of parts needed to make a whole) YOUR ANSWER

This explanation provides useful foundational knowledge about fractions but does not directly aid in converting 3/4 to a decimal. A third grader may find this abstract and struggle to make the connection between the concept of parts and the decimal representation, making it less effective for immediate understanding.

D (Writing out the decimals to show that the fraction can be written as 7 tenths and 5 hundredths, or 75 hundredths) YOUR ANSWER

This choice introduces confusion by presenting multiple decimal representations without clearly linking them back to the fraction 3/4. Third graders may become overwhelmed by the details and fail to realize that 3/4 simply equals 0.75, which can hinder comprehension rather than facilitate it.

Conclusion

Connecting the fraction 3/4 to money through quarters offers a practical and relatable method for young students to understand decimal conversion. By conceptualizing 3/4 as three quarters out of four, students can easily grasp that this equals 0.75, simplifying the learning process. Other strategies, while informative, do not provide the same level of clarity for young learners focused on understanding fractions and their decimal equivalents.

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