Florida B.E.S.T. MA.6.AR.3.3
The Standard
Extend previous understanding of fractions and numerical patterns to generate or complete a two- or three-column table to display equivalent part-to-part ratios and part-to-part-to-whole ratios.
Florida B.E.S.T. Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students scale every quantity in a comparison by the same factor and organize the results in two-column or three-column tables. They find missing values and connect the two parts to the total.
What Mastery Looks Like
- Given one complete row and a row with blanks, a student identifies the scale factor and fills every entry correctly. The student can justify that each row represents the same ratio, including the total column.
Common Misconceptions
- Students often add the same number to each entry instead of multiplying every entry by one factor. They may scale only one part, or treat the total as an unrelated third part instead of the sum of the first two.
How to Assess It
- Exit ticket: A paint mix has 2 cups blue, 3 cups white, and 5 cups total. Complete the row for 6 cups blue, then name the scale factor.
Lesson moves
Ways to Teach It
Give students red and blue counters; have them build batches of 2 red and 3 blue, then record four scaled rows.
Have students answer: Why does adding 2 to every column fail to keep a 2:3:5 mixture equivalent? Students write and share one example.
Play Ratio Table Relay: teams draw a multiplier card, scale one table row, and pass the table after teammates check all columns.
Use a fruit punch recipe with 1 cup juice and 2 cups water; students calculate each part and total for five pitchers.
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Printable MA.6.AR.3.3 Worksheet
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- MA.5.FR.2.4
Extend previous understanding of division to explore the division of a unit fraction by a whole number and a whole number by a unit fraction.
- MA.4.FR.2.4
Extend previous understanding of multiplication to explore the multiplication of a fraction by a whole number or a whole number by a fraction.
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