Remarks
This standard includes finding the solution to multi-step problems.
Example: How many quarter-pound hamburgers can be made from 3 1/2 pounds of ground beef?
-
Item Type(s):
This benchmark may be assessed using:
MC
,
GR
item(s)
- Clarification :
Students will solve real-world problems involving multiplication and/or division of fractions and decimals. - Content Limits :
Items may include fractions and mixed numbers.Items may include decimals through the hundredths place.
Fractions and decimals may not be used in the same item. In fractions that must be simplified, the numerator and denominator must be simplified to lowest terms with no more than two common prime factors, e.g., 2, 3, 5, or 7.
Items may include up to three procedural steps.
Items may involve checking for reasonableness of answers, especially when dealing with remainders.
- Stimulus Attributes :
Items should be set in a real-world or mathematical context.
Graphics may be used, as appropriate. - Response Attributes :
For multiple-choice items, options that are fractions should be in simplest form.
- Test Item #: Sample Item 1
- Question: Mr. Nichols wants to store 25½ cups of stew in containers. Each container holds a maximum of 1½ cups of stew. What is the minimum number of containers Mr. Nichols needs to hold all the stew?
- Difficulty: N/A
- Type: MC: Multiple Choice
- Test Item #: Sample Item 2
- Question: The Rolanda family drove 1,600 miles in 3 days. On the first day, they traveled ½ of the total distance. On the second day, they traveled ¼ of the remaining distance.
What was the total distance, in miles, the Rolanda family traveled on the third day? - Difficulty: N/A
- Type: GR: Gridded-Response
Related Access Points
Related Resources
Lesson Plans
Problem-Solving Task
Project
Teaching Ideas
STEM Lessons - Model Eliciting Activity
Students will be given a list of phone rates of 5 different companies and will have to decide which plan(s) are the best according to cost. They will discuss minutes and monthly plan and the cost of each phone. All of the plans are on the prepayment option.
Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.
Students develop a procedure to select a cell phone based on qualities they think their parents value in a cell phone. Students present their solution in writing to a marketing company, who wishes to use the results to market cell phones to parents of elementary students.
Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.
In this Model Eliciting Activity (MEA), students will multiply and divide decimals as well as use the resulting data to make a decision about a candy store.
Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.