Ratios & Unit Rates
Authored by Rachel Frazier
Mathematics
6th - 7th Grade
CCSS covered
Used 412+ times
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About
This quiz focuses on ratios and unit rates, fundamental mathematical concepts that form the foundation for proportional reasoning in middle school mathematics. Students working through these problems need to understand ratios as multiplicative comparisons between quantities, distinguish between ratios and rates based on whether the quantities have the same or different units, and master the process of finding unit rates by dividing to create a denominator of one. The questions progress systematically from basic ratio identification and simplification through rate and unit rate definitions, then advance to computational problems requiring division to find unit rates, and culminate in comparison problems where students must calculate and compare multiple unit rates to determine optimal choices. This represents grade 6-7 level mathematics, requiring students to demonstrate conceptual understanding of proportional relationships alongside computational fluency with division and the ability to interpret results in real-world contexts. Created by Rachel Frazier, a Mathematics teacher in US who teaches grade 6, 7. This comprehensive assessment serves multiple instructional purposes throughout the unit on ratios and rates, providing teachers with a versatile tool for checking student understanding at various stages of learning. The quiz works effectively as a diagnostic pre-assessment to gauge prior knowledge, formative assessment during instruction to identify misconceptions, or summative evaluation after the unit to measure mastery of key concepts. Teachers can assign individual sections for targeted practice on specific skills like ratio simplification or unit rate calculation, or use the complete quiz as homework to reinforce classroom learning. The progression from conceptual questions about definitions to computational problems to real-world comparison scenarios makes this particularly valuable for differentiated instruction, allowing teachers to focus on specific skill levels based on student needs. This assessment aligns with standards 6.RP.A.1, 6.RP.A.2, and 6.RP.A.3, which address understanding ratio concepts, unit rates, and solving real-world problems involving ratios and rates.
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22 questions
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1.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
What is the ratio of red apples to green apples
Tags
CCSS.6.RP.A.1
CCSS.6.RP.A.2
2.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Ella has 5 balloons. Taylor has 7 balloons. Write the ratio of Ella's balloons to Taylor's balloons.
Tags
CCSS.6.RP.A.1
CCSS.6.RP.A.2
3.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Mrs. Shelly paid $3 for 6 muffins and Mrs. Kloske paid $9 for 18 muffins.
Tags
CCSS.7.RP.A.2A
4.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
$15 for 5 pairs of socks; $25 for 10 pairs of socks. Are the ratios equivalent?
Tags
CCSS.6.RP.A.3A
5.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Simplify the ratio of
20 to 25
Tags
CCSS.6.RP.A.1
CCSS.6.RP.A.2
6.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
What is a rate?
A comparison of quantities, using division (2:3, 2/3, 2 to 3)
A ratio of quantities with different units (ex: 60 miles / 3 hours)
A rate with a denominator of one (ex: 20 miles / 1 hour)
Tags
CCSS.6.RP.A.1
CCSS.6.RP.A.2
7.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
What is a unit rate?
A comparison of quantities, using division (ex: 2:3, 2/3, 2 to 3)
A ratio of quantities with different units (ex: $10.00/5 sodas
A rate with a denominator of one (ex: $2.00/1 soda)
Tags
CCSS.6.RP.A.1
CCSS.6.RP.A.2
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