HUNTERTUTORING

Study Guide — 6.NS.A.1

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Interpret and compute quotients of fractions, and solve word problems…

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

What this standard means

  • Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem. For example, create a story context for (2/3) ÷ (3/4) and use a visual fraction model to show the quotient; use the relationship between multiplication and division to explain that (2/3) ÷ (3/4) = 8/9 because 3/4 of 8/9 is 2/3. (In general, (a/b) ÷ (c/d) = ad/bc.) How much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 3/4-cup servings are in 2/3 of a cup of yogurt? How wide is a rectangular strip of land with length 3/4 mi and area 1/2 square mi?.
  • Apply interpret and compute quotients of fractions, and solve word problems… with models and explanation
  • Operates with integers and rationals accurately

_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.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

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