6.4.C
The Standard
give examples of ratios as multiplicative comparisons of two quantities describing the same attribute
Texas Essential Knowledge and Skills for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students compare two measurements or counts by stating how many times one quantity is another. They write the ratio in the same order as the comparison.
What Mastery Looks Like
- Given lengths of 15 centimeters and 5 centimeters, a student writes 15:5 and says the first length is three times the second. The student keeps the comparison order consistent.
Common Misconceptions
- Students subtract and say the larger quantity is “12 more” instead of describing a multiplicative relationship. They may reverse the ratio or compare unlike attributes, such as length to weight.
How to Assess It
- Exit ticket: A red ribbon is 18 centimeters long, and a blue ribbon is 6 centimeters long. Write a ratio and a sentence comparing their lengths.
Lesson moves
Ways to Teach It
Give students pairs of paper strips, have them measure each strip, then write a ratio and a times-as-long comparison.
Ask, “Maya has 12 markers and Luis has 4. How can you compare their amounts without subtracting?”
Play a card match using quantity pairs, ratios, and times-as-many statements, with students explaining each match.
Compare two drink bottle capacities from product labels, then write how many times one capacity is the other.
Keep exploring
Related Standards
- K.7.B
compare two objects with a common measurable attribute to see which object has more of/less of the attribute and describe the difference
- 7.5.A
generalize the critical attributes of similarity, including ratios within and between similar shapes
- 6.4.D
give examples of rates as the comparison by division of two quantities having different attributes, including rates as quotients
- 4.3.D
compare two fractions with different numerators and different denominators and represent the comparison using the symbols >, =, or <
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