NY Next Generation Math NY-5.NBT.3

NY-5.NBT.3 is a cluster heading. These are the individual standards under it.

• NY-5.NBT.3.a

  Read and write decimals to thousandths using base-ten numerals, number names, and expanded form.

• NY-5.NBT.3.b

  Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.

01

What Students Need to Do

Students read and write decimals through the thousandths place in numeral, word, and expanded forms. They compare two decimals by examining corresponding place values and record the comparison with <, >, or =.

02

What Mastery Looks Like

A student reads 47.392 as forty-seven and three hundred ninety-two thousandths and expands it by place value. The student correctly records 3.408 < 3.480 and explains the first place where the values differ.

03

Common Misconceptions

Students may ignore zeros that hold a place or compare decimal digits as if they formed whole numbers. They may also confuse tenths, hundredths, and thousandths when reading or expanding a number.

04

How to Assess It

Ask students to write 6.305 in words and expanded form. Then have them compare 6.305 and 6.35 with a symbol and place-value explanation.

1. 01

   Build decimals on a place-value mat with digit cards, then rewrite each number in word and expanded forms.

2. 02

   Ask students why 4.070 and 4.07 have equal value even though one numeral has more digits.

3. 03

   Play decimal compare by turning three digit cards for each number and placing <, >, or = between them.

4. 04

   Read measurements recorded to thousandths and rank the results from least to greatest for a quality-control report.

• NY-4.NF.7

  Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when two decimals refer to the same whole. Record th...

• NY-2.NBT.3

  Read and write numbers to 1000 using base-ten numerals, number names, and expanded form.