Grade 3 Math Chapter 9 | Teacher Guide

Grade 3 Math Chapter 9: Teacher Guide and Answers

Student lessons | Practice | Teacher guide | Grade 3

Check that wholes are equal in size, partitions are equal, labels are in order, and the learner can explain the reasoning. Accept equivalent accurate models.

Day 1: Equal Parts and Unit Fractions

1. 1/6.
2. Three.
3. A whole partitioned into eight equal parts with three shaded.
4. No. A fourth must be one of four equal parts of the whole.

Day 2: Fractions on a Number Line

1. Six equal intervals.
2. Five.
3. A line from 0 to 1 with three equal intervals and the second mark labeled 2/3.
4. 3/8; it is three equal eighth-lengths from zero, while 6/8 is six.

Day 3: Equivalent Fractions and Whole Numbers

1. 1.
2. 2/4.
3. One bar has one of two equal pieces shaded; an equal-length bar has two of four equal pieces shaded; the shaded lengths match.
4. Yes. Each represents one whole, and both are at 1 on a number line.

Day 4: Compare Fractions of the Same Whole

1. 3/8 < 5/8.
2. 1/3 > 1/6.
3. In equal-sized wholes divided into fourths, two fourths cover less than three fourths.
4. Different-sized wholes can make the sizes of pieces different even if fraction labels look comparable.

Day 5: Independent Fraction Check

1. 1/8.
2. The interval from 0 to 1 has four equal parts, with the third mark labeled 3/4.
3. 1.
4. 1/4 > 1/8; a fourth of the same whole is larger than an eighth.

Assessment and Reteaching

Use Day 5 independently. Examine the labels and equal spacing in the number line, the unit fraction and whole, and the comparison explanation. Reteach using new models before reassessment. This brief check does not establish full-year mastery.