Grade 6 Mathematics · Unit 7: Integers, Rational Numbers, and the Coordinate PlaneStandard 6.NOS.6

Lesson 7.27.2 Small Group · Group 1

Group 1 · Set BSecond form · new problems, same idea

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
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Learning target With my small group, I can place rational numbers, including fractions and decimals, on a number line — one step at a time, with support.

Remember7.2 Small Group · Group 1

Every rational number has one exact spot on the number line, between two integers, with negative numbers to the left of 0. To place a rational number, find the two integers it is between. Then split that space into equal parts.

Words: Rational number (Número racional)Fraction (Fracción)Decimal (Decimal)Number line (Recta numérica)Equivalent (Equivalente)

  1. 1Complete each step, then write the final answer.

    A point is halfway between −4 and −3. What rational number is it?

    Show your work

    Hint Halfway between 3 and 4 is 3.5. This point is left of 0, so it is negative.

    Final answer:
  2. 2Complete each step, then write the final answer.

    A point is halfway between −6 and −5. What number is it?

    Show your work

    Hint Halfway between 5 and 6 is 5.5. This point is left of 0.

    Final answer:
  3. 3Complete each step, then write the final answer.

    The water in a pool is 1 1/4 feet under the top edge. The top edge is 0. Write the water level as a decimal.

    Show your work

    Hint Under the edge means less than 0. 1/4 = 0.25.

    Final answer:
  4. 4Complete each step, then write the final answer.

    The space from 0 to −1 is split into 8 equal parts. Point B is 3 parts from 0. What fraction is point B?

    Show your work

    Hint Each part is 1/8. The point is left of 0.

    Final answer:

Explain your thinkingHow do you find the two integers a negative decimal is between? Use −1.5 or −6.5 to explain.

Sentence starter −6.5 is between ___ and ___. · I put the dot ___ because ___.

How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help