Florida B.E.S.T. MA.7.NSO.1.2

Math7th GradeRewrite numbers in equivalent forms.

The Standard

Rewrite rational numbers in different but equivalent forms including fractions, mixed numbers, repeating decimals and percentages to solve mathematical and real-world problems.

Florida B.E.S.T. Standards for Mathematics

Teacher's field guide

What This Standard Means

What Students Need to Do

Students change rational numbers among fraction, mixed number, decimal, and percent forms without changing their value. They use the form that makes a calculation or real-world comparison easier.

What Mastery Looks Like

Students choose a useful form, convert it accurately, and keep its value unchanged. They use the converted number correctly in a calculation and can explain why the forms are equal.

Common Misconceptions

Students may treat 0.666... as a rounded value instead of exactly 2/3. They may move the decimal in the wrong direction when finding a percent. Some multiply the whole number by the numerator, rather than the denominator, when changing a mixed number.

How to Assess It

Exit ticket: A recipe is scaled by 1 2/3. Write this factor as an improper fraction, a repeating decimal, and a percent, then use it to scale 3/4 cup.

Lesson moves

Ways to Teach It

  1. Give groups fraction, mixed number, decimal, and percent cards to match, including 5/3, 1 2/3, 1.666..., and 166.666...%.

  2. Ask students to explain why 0.333... equals 1/3 rather than being slightly less than 1/3.

  3. Play a conversion relay where teams rewrite each number in two assigned forms and check the previous team’s work.

  4. Compare store discounts, recipe scale factors, and sports statistics written as fractions, decimals, or percentages, then choose the most useful form.

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Printable MA.7.NSO.1.2 Worksheet

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