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Unit 05 · Rational Numbers and CoordinatesLesson

Day 064Negative Fractions on Number Lines

LearnClassworkAnswer keyPDF packet ↗
Standards 6.NS.C.6c
LEARNING TARGET

I can locate integers and negative fractions on a number line.

01 · LEARN

Build the idea

Mark zero and equally spaced whole-number ticks. Partition each interval into equal parts for the denominator. Negative values are left of zero on a horizontal line and below zero on a vertical line.

WORKED EXAMPLE 1

Draw a horizontal or vertical number line. Plot and label -5, 0, and 2.

-5 < 0 < 2; unit steps

Negative -5 is left of or below 0; 2 is right of or above 0. Use equal intervals.

WORKED EXAMPLE 2

Draw a horizontal or vertical number line. Plot and label -7/3, 0, and 7/3. Name the step size of your scale and explain the placement.

-7/3 < 0 < 7/3; use steps of 1/3

Negative -7/3 is left of or below 0; 7/3 is right of or above 0. Use equal intervals.

02 · PRACTICE

Your turn

Work in order. Start with the foundations, then build toward explanation and application.

  1. Draw a horizontal or vertical number line. Plot and label -4, 0, and 4.

  2. Draw a horizontal or vertical number line. Plot and label -2, 0, and 6.

  3. Draw a horizontal or vertical number line. Plot and label -4, 0, and 2.

  4. Draw a horizontal or vertical number line. Plot and label -1, 0, and 3/2.

  5. Draw a horizontal or vertical number line. Plot and label -1, 0, and 7/5.

  6. Draw a horizontal or vertical number line. Plot and label -1/5, 0, and 1/5.

  7. Draw a horizontal or vertical number line. Plot and label -7/4, 0, and 3/4. Name the step size of your scale and explain the placement.

  8. Draw a horizontal or vertical number line. Plot and label -5/4, 0, and 5/4. Name the step size of your scale and explain the placement.

  9. Draw a horizontal or vertical number line. Plot and label -2, 0, and 3/2. Name the step size of your scale and explain the placement.

  10. Draw a horizontal or vertical number line. Plot and label -5/3, 0, and 5/3. Name the step size of your scale and explain the placement.

03 · CHECK

Answers and reasoning

Reveal the teacher answer key
  1. -4 < 0 < 4; unit steps

    Negative -4 is left of or below 0; 4 is right of or above 0. Use equal intervals.

  2. -2 < 0 < 6; unit steps

    Negative -2 is left of or below 0; 6 is right of or above 0. Use equal intervals.

  3. -4 < 0 < 2; unit steps

    Negative -4 is left of or below 0; 2 is right of or above 0. Use equal intervals.

  4. -1 < 0 < 3/2; use steps of 1/2

    Negative -1 is left of or below 0; 3/2 is right of or above 0. Use equal intervals.

  5. -1 < 0 < 7/5; use steps of 1/5

    Negative -1 is left of or below 0; 7/5 is right of or above 0. Use equal intervals.

  6. -1/5 < 0 < 1/5; use steps of 1/10

    Negative -1/5 is left of or below 0; 1/5 is right of or above 0. Use equal intervals.

  7. -7/4 < 0 < 3/4; use steps of 1/4

    Negative -7/4 is left of or below 0; 3/4 is right of or above 0. Use equal intervals.

  8. -5/4 < 0 < 5/4; use steps of 1/4

    Negative -5/4 is left of or below 0; 5/4 is right of or above 0. Use equal intervals.

  9. -2 < 0 < 3/2; use steps of 1/2

    Negative -2 is left of or below 0; 3/2 is right of or above 0. Use equal intervals.

  10. -5/3 < 0 < 5/3; use steps of 1/3

    Negative -5/3 is left of or below 0; 5/3 is right of or above 0. Use equal intervals.

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