Grade 3 Mathematics Chapter 8 | Teacher Guide

Grade 3 Mathematics Chapter 8: Teacher Guide and Answers

Student lessons | Practice | Teacher answers | Grade 3

Keep answers separate until the learner works independently. Accept accurate equivalent strategies. Observe accuracy, efficiency and flexibility across repeated unfamiliar facts; automatic recall requires evidence over time.

Day 1: Equal Groups and Turnaround Facts

1. 24 counters.
2. 24; the factors reverse and the product stays 24.
3. 28 counters.
4. 0; zero groups of six contain no counters.

Day 2: Break Apart a Factor

1. 40 + 16 = 56.
2. 20 + 12 = 32.
3. 30 + 24 = 54.
4. The two parts partition the original equal groups; together they make the whole product.

Day 3: Use Related Division Facts

1. 6; 7 x 6 = 42.
2. 9; 6 x 9 = 54.
3. 8 boxes.
4. 7 counters each.

Day 4: Mixed Facts and Reasonableness

1. 63; for example, 10 x 7 minus 7.
2. 7; 9 x 7 = 63.
3. 48; 8 x 6 = (5 x 6) + (3 x 6) = 48.
4. 19 people; 4 x 6 – 5 = 19.

Day 5: Independent Fluency Check

1. 42.
2. 72.
3. 7.
4. 56; 7 x 8 = 56.

Assessment and Reteaching

Record each Day 5 answer, the strategy used and whether assistance was needed. Reteach errors with counters or arrays, then reassess with different facts. Four items are a sample, not evidence of complete fact fluency.