Study Guide — 7.NS.A.1

Apply and extend previous understandings of addition and subtraction…

Extend number sense to integers, rationals, and absolute value on the number line.

What this standard means

• Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged.
• Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.
• Understand subtraction of rational numbers as adding the additive inverse, p - q = p + (-q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.
• Apply apply and extend previous understandings of addition and subtraction… with models and explanation

_See printable PDF for diagram._

How to use the 20 practice sets

| Sets | When to use | | --- | --- | | 1–5 | Intro — explore together, short written items | | 6–10 | Core skills — diagrams and written practice | | 11–15 | Mixed review — explain thinking | | 16–20 | Stretch — word problems and mastery tasks |

Pacing: 10–15 minutes per session.

How to practice

1. Use a number line for addition of signed numbers 2. Convert between fractions, decimals, and percents 3. Plot and compare rational numbers

_See printable PDF for diagram._

Common mistakes

• Subtracting integers in the wrong direction
• Absolute value sign errors
• Incorrect placement of negatives on the number line

Review and practice tests

1. Start Review 1/10 when sets 1–3 feel comfortable. 2. Move up one review level with little help. 3. Use Practice Test 4/10–6/10 for mid-standard checks. 4. Practice Test 10/10 is the mastery bar for 7.NS.A.1.

• [ ] Operates with integers and rationals accurately
• [ ] Uses absolute value correctly
• [ ] Explains reasoning with a number line or diagram

Materials for this standard

• Practice Problems — 20 printable sets (computational and word problems)
• Review — 10 difficulty levels
• Practice Test — 10 difficulty levels
• Answer key — for parents and tutors