Equivalent Ratios and Tape Diagrams

Flashcard
•
Mathematics
•
6th Grade
•
Hard
+3
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is an equivalent ratio?
Back
An equivalent ratio is a ratio that expresses the same relationship between two quantities, even if the numbers are different. For example, the ratios 4:5 and 12:15 are equivalent because they represent the same proportional relationship.
Tags
CCSS.6.RP.A.3A
2.
FLASHCARD QUESTION
Front
How can you find an equivalent ratio?
Back
To find an equivalent ratio, you can multiply or divide both terms of the ratio by the same non-zero number. For example, to find an equivalent ratio for 2:3, you can multiply both terms by 2 to get 4:6.
Tags
CCSS.6.RP.A.3A
3.
FLASHCARD QUESTION
Front
What is a tape diagram?
Back
A tape diagram is a visual representation of a ratio or a fraction that uses rectangles to show the relative sizes of the parts. It helps in understanding the relationship between quantities.
Tags
CCSS.6.RP.A.1
CCSS.6.RP.A.2
4.
FLASHCARD QUESTION
Front
How do you use a tape diagram to solve ratio problems?
Back
To use a tape diagram, draw rectangles to represent the quantities in the ratio. Divide the rectangles into equal parts based on the ratio, and then use the diagram to find unknown quantities by comparing the sizes of the parts.
5.
FLASHCARD QUESTION
Front
What is the ratio of 3 to 5 expressed as a fraction?
Back
The ratio of 3 to 5 can be expressed as the fraction 3/5.
Tags
CCSS.6.RP.A.1
CCSS.6.RP.A.2
6.
FLASHCARD QUESTION
Front
If 3/4 = x/12, how do you solve for x?
Back
To solve for x, cross-multiply: 3 * 12 = 4 * x. This gives you 36 = 4x. Then, divide both sides by 4 to find x = 9.
Tags
CCSS.7.RP.A.2C
7.
FLASHCARD QUESTION
Front
What is the relationship between ratios and fractions?
Back
Ratios can be expressed as fractions, where the first term of the ratio is the numerator and the second term is the denominator. For example, the ratio 4:5 can be expressed as the fraction 4/5.
Tags
CCSS.6.RP.A.1
CCSS.6.RP.A.2
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