Virginia SOL 4.NS.5

4.NS.5 is a Standards of Learning standard. These are the knowledge and skills expectations under it.

• 4.NS.5.a

  Represent fractions (proper or improper) and/or mixed numbers as decimals through hundredths, using multiple representations, limited to halves, fourths, fifths...

• 4.NS.5.b

  Identify and model equivalent relationships between fractions (proper or improper) and/or mixed numbers and decimals, using halves, fourths, fifths, tenths, and...

• 4.NS.5.c

  Write the decimal and fraction equivalent for a given model (e.g., 1 4 = 0.25 or 0.25 = 1 4 ; 1.25 = 5 4 or 11 4 ; 1.02 = 102 100 or 1 2 100 ).*

01

What Students Need to Do

Students connect fractions, mixed numbers, and decimals that name the same amount. They represent each amount with models, symbols, and place value reasoning.

02

What Mastery Looks Like

Students correctly match fractions, mixed numbers, and decimals through hundredths. They use fraction strips, grids, number lines, or place value reasoning to explain each match.

03

Common Misconceptions

Students may write 1/4 as 0.14 or 0.4 by treating the fraction digits as decimal digits. They may also miss that improper fractions and mixed numbers represent values greater than one.

04

How to Assess It

Give students this exit ticket: Represent 1.25 with a drawing, an improper fraction, and a mixed number, then explain why all forms are equal.

1. 01

   Give pairs fraction strips and hundred grids to build 3/4, 6/5, and 1 1/2, then label each decimal.

2. 02

   Ask students to explain how 1 1/4, 5/4, and 1.25 name the same amount, using a labeled sketch.

3. 03

   Make card sets with models, fractions, mixed numbers, and decimals, then have teams race to create complete matching groups.

4. 04

   Display prices such as $0.50, $0.75, and $1.25, then have students write each amount as a fraction of a dollar.

• 5.NS.1

  The student will use reasoning and justification to identify and represent equivalency between fractions (with denominators that are thirds, eighths, and factor...

• 4.NS.3

  The student will use mathematical reasoning and justification to represent, compare, and order fractions (proper, improper, and mixed numbers with denominators ...

• 3.NS.3

  The student will use mathematical reasoning and justification to represent and compare fractions (proper and improper) and mixed numbers with denominators of 2,...