Maryland Math 3.NOS.F.10

3.NOS.F.10 is a cluster heading. These are the individual standards under it.

• 3.NOS.F.10.b

  Explain that a fraction 1/d represents one part of a whole that is divided into d equal parts, and that a fraction c/d represents c parts of size 1/d.

01

What Students Need to Do

Students divide a shape into parts with equal areas. They name one part with a unit fraction, then count parts to name a larger fraction.

02

What Mastery Looks Like

Given a rectangle split into four equal-area pieces, a student labels one piece 1/4 and three pieces 3/4. They explain why four unequal-area pieces cannot show fourths.

03

Common Misconceptions

Students may count pieces even when their areas differ. Some think the bottom number counts shaded pieces, or that more pieces means a bigger piece.

04

How to Assess It

Ask students to draw a rectangle with four equal-area parts, shade three, and label one part and the shaded area. Have them explain what each number in 3/4 counts.

1. 01

   Give pairs paper squares to fold into four equal-area parts, then have them shade three parts and label both one part and the shaded area.

2. 02

   Show two rectangles cut into four pieces, one with equal areas and one without, and ask which shows fourths and why.

3. 03

   Play fraction match with cards showing shaded shapes and cards labeled 1/2, 2/3, or 3/4; partners explain each match.

4. 04

   Draw a rectangular garden bed with six equal-area plots, mark two for carrots, and label the area used for carrots.

• 3.NOS.F.13

  Explain equivalence of fractions and compare fractions by reasoning about their size, recognizing that comparisons are valid only when the two fractions refer t...

• 5.NOS.D.16.d

  Represent and explain the computation by connecting visual fraction models and/or equations to the meaning of division with unit fractions.