Grade 5 Mathematics Unit 2 | Teacher Guide and Answers

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.

Student text

Student workbook

Day 1: Decimal place value and comparison | Answers

  1. 1. 6 + 0.3 + 0.008
  2. 2. 9
  3. 3. 2.506 < 2.56
  4. 4. 0.08, 0.8, 0.808
  5. 5. 0.045
  6. 6. 7.85
  7. 7. Example: 1.255
  8. 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. 1. 5.85
  2. 2. 4.45
  3. 3. 13
  4. 4. 5.745
  5. 5. About 25
  6. 6. 3.95 m
  7. 7. Place values were not aligned; correct result is 3.75.
  8. 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. 1. 10
  2. 2. 0.72
  3. 3. 0.56
  4. 4. 6.5
  5. 5. 0.2
  6. 6. Less than 6.2, because multiplication by one half reduces it.
  7. 7. 3 m
  8. 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. 1. 2.1
  2. 2. 2.5
  3. 3. 3.2
  4. 4. 1.2
  5. 5. 3.75
  6. 6. 0.42
  7. 7. 2.5 L
  8. 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. 1. 5.067 < 5.07
  2. 2. 9.35
  3. 3. 10.55
  4. 4. 4.55
  5. 5. 0.78
  6. 6. 2.7
  7. 7. 2.1
  8. 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.