Grade 7 Mathematics Unit 2 | Teacher Guide and Answers

Grade 7 Mathematics Unit 2 | Teacher Guide and Answers

Use a number line or counters for remediation. Ask the student to explain signs and units before applying a shortcut. Lessons and questions are original Academy material, no outside text is reproduced. Week 2 of the Academy’s scope identifies integer structure; alignment to all state standards has not been verified.

Suggested schedule: one lesson and eight questions each day. On Day 5, work independently and use a one-point score per question, allowing mathematically equivalent answers. A suggested 6/8 indicates readiness to continue after review; this is a teaching guide, not a validated proficiency test. For errors, reteach the relevant model and check with a fresh example.

Student lessons | Practice workbook

Day 1: Integers, opposites and distance

1. -5, -1, 0, 2
2. 12
3. 9
4. -8 < -3
5. 10
6. -11, since 11 > 9
7. -14 meters
8. Both are 5 units from zero.

Day 2: Adding integers

1. 5
2. -14
3. -4
4. 0
5. 4
6. 5 °C
7. -$7
8. Opposites cancel or have zero as their sum.

Day 3: Subtracting integers

1. -5
2. -9
3. -6
4. 13
5. 6
6. -7 °C
7. +7 m
8. 8 + (-6) = 2.

Day 4: Multiplication, division and rational numbers

1. -28
2. 30
3. -4
4. 6
5. -6
6. -10
7. Yes, 1/3.
8. No number multiplied by 0 equals 12.

Day 5: Independent assessment and application

1. -9, -2, 0, 4
2. 11
3. -5
4. 5
5. 42
6. -4
7. +11 °C
8. -15 m; -18 + 7 – 4 = -15.

Reteaching and extension

For addition, pair positive and negative counters to make zero. For subtraction, rewrite as adding the opposite and verify using addition. For multiplication and division, use patterns and inverse operations. Have a learner who demonstrates mastery create and solve a multi-step situation using a negative starting value and two changes.