Grade 5 Mathematics: Unit 2 | Teacher Guide
Keep the answer key separate from students until work has been completed. Discuss and model examples, check students’ reasoning, then reteach and retest missed skills.
Day 1: Decimal place value and comparison | Answers
- 1. 6 + 0.3 + 0.008
- 2. 9
- 3. 2.506 < 2.56
- 4. 0.08, 0.8, 0.808
- 5. 0.045
- 6. 7.85
- 7. Example: 1.255
- 8. Trailing zeros do not change place value.
Accept equivalent accurate explanations where questions require reasoning. Distinguish independent mastery from prompted work; use new parallel problems for reassessment.
Day 2: Add and subtract decimals | Answers
- 1. 5.85
- 2. 4.45
- 3. 13
- 4. 5.745
- 5. About 25
- 6. 3.95 m
- 7. Place values were not aligned; correct result is 3.75.
- 8. Check that equation, units and result are consistent.
Accept equivalent accurate explanations where questions require reasoning. Distinguish independent mastery from prompted work; use new parallel problems for reassessment.
Day 3: Multiply decimals using place value | Answers
- 1. 10
- 2. 0.72
- 3. 0.56
- 4. 6.5
- 5. 0.2
- 6. Less than 6.2, because multiplication by one half reduces it.
- 7. 3 m
- 8. Three tenths of three tenths is nine hundredths = 0.09.
Accept equivalent accurate explanations where questions require reasoning. Distinguish independent mastery from prompted work; use new parallel problems for reassessment.
Day 4: Divide whole numbers and decimal quotients | Answers
- 1. 2.1
- 2. 2.5
- 3. 3.2
- 4. 1.2
- 5. 3.75
- 6. 0.42
- 7. 2.5 L
- 8. 1.6 × 3 = 4.8.
Accept equivalent accurate explanations where questions require reasoning. Distinguish independent mastery from prompted work; use new parallel problems for reassessment.
Day 5: Independent decimal assessment | Answers
- 1. 5.067 < 5.07
- 2. 9.35
- 3. 10.55
- 4. 4.55
- 5. 0.78
- 6. 2.7
- 7. 2.1
- 8. 1.9 m
Accept equivalent accurate explanations where questions require reasoning. Distinguish independent mastery from prompted work; use new parallel problems for reassessment.
Five-day formative assessment and records
Day 5 is an independent check. Suggested instructional threshold: at least 6 of 8 correct without hints, with coherent reasoning on extended responses. This is not a standardized proficiency cutoff. Document strengths, misconceptions and subsequent new-item reassessment privately. Complete academic-standards mapping and quarterly tests are still needed.