HUNTERTUTORING

Study Guide — 6.NS.C.6

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Understand a rational number as a point on the number line

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

What this standard means

  • Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line; recognize that the opposite of the opposite of a number is the number itself, e.g., -(-3) = 3, and that 0 is its own opposite.
  • Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane; recognize that when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes.
  • Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane.
  • Apply understand a rational number as a point on the number line 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.6.

  • [ ] 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

For your personal study only. Copying, printing, screenshotting, or sharing this material is not permitted and may result in loss of access.

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