NY Next Generation Math NY-4.NF.6

Math4th GradeUnderstand decimal notation for fractions, and compare decimal fractions.

The Standard

Use decimal notation for fractions with denominators 10 or 100.

New York State Next Generation Mathematics Learning Standards

Teacher's field guide

What This Standard Means

What Students Need to Do

Students write fractions with denominators 10 or 100 in decimal notation. They connect tenths and hundredths to decimal place value.

What Mastery Looks Like

The student writes 7/10 as 0.7 and 43/100 as 0.43. The student explains the value of each decimal digit using fraction language.

Common Misconceptions

Students may write 7/10 as 0.07 or 43/100 as 0.043. They may read the decimal point as a separator without considering place value.

How to Assess It

Ask students to write 6/10 and 28/100 as decimals, then shade each amount on a hundred grid.

Lesson moves

Ways to Teach It

  1. Shade tenths and hundredths grids, then label each model with a fraction and decimal.

  2. Ask students how 0.4 and 0.40 can name the same amount.

  3. Play Fraction Decimal Match with cards showing tenths, hundredths, decimals, and models.

  4. Write money amounts such as 37 cents as fractions of a dollar and as decimals.

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Printable NY-4.NF.6 Worksheet

Preview of the NY-4.NF.6 printable worksheet

A ready-to-print activity worksheet aligned to NY-4.NF.6, with an answer key for the teacher on its own page. No account needed.

PDF, US Letter, prints cleanly in black and white.

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