HUNTERTUTORING

Study Guide — 6.NS.C.7

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Understand ordering and absolute value of rational numbers

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

What this standard means

  • Interpret statements of inequality as statements about the relative position of two numbers on a number line diagram. For example, interpret -3 > -7 as a statement that -3 is located to the right of -7 on a number line oriented from left to right.
  • Write, interpret, and explain statements of order for rational numbers in real-world contexts. For example, write -3 °C > -7 °C to express the fact that -3 °C is warmer than -7 °C.
  • Understand the absolute value of a rational number as its distance from 0 on the number line; interpret absolute value as magnitude for a positive or negative quantity in a real-world situation. For example, for an account balance of -30 dollars, write |-30| = 30 to describe the size of the debt in dollars.
  • Apply understand ordering and absolute value of rational numbers 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 6.NS.C.7.

  • [ ] 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

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