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Unit 05 · Rational Numbers and CoordinatesLesson

Day 067Ordering Temperatures

LearnClassworkAnswer keyPDF packet ↗
Standards 6.NS.C.7a6.NS.C.7b
LEARNING TARGET

I can order rational numbers using their positions.

01 · LEARN

Build the idea

A number farther right is greater. Among negative numbers, the value closer to zero is greater. Use a common denominator or familiar benchmarks to compare negative fractions.

WORKED EXAMPLE 1

Compare -2 ___ -4 using <, >, or =. Sketch a number line to justify.

>

-2 > -4; greater numbers lie farther right.

WORKED EXAMPLE 2

Temperatures are -4°C and -2/3°C. Write an inequality comparing them and explain which is warmer.

-4 < -2/3; -2/3°C is warmer

The greater value is farther right on a number line, even when both are negative.

02 · PRACTICE

Your turn

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

  1. Compare -8 ___ -2 using <, >, or =. Sketch a number line to justify.

  2. Compare -6 ___ -5 using <, >, or =. Sketch a number line to justify.

  3. Compare -3 ___ -6 using <, >, or =. Sketch a number line to justify.

  4. Compare -7/4 ___ -5/4 using <, >, or =. Sketch a number line to justify.

  5. Compare -3/10 ___ -3/5 using <, >, or =. Sketch a number line to justify.

  6. Compare -2 ___ -7/3 using <, >, or =. Sketch a number line to justify.

  7. Temperatures are -2°C and -2/5°C. Write an inequality comparing them and explain which is warmer.

  8. Temperatures are -1°C and -2/5°C. Write an inequality comparing them and explain which is warmer.

  9. Temperatures are -1°C and -7/4°C. Write an inequality comparing them and explain which is warmer.

  10. Temperatures are -3/2°C and -2/5°C. Write an inequality comparing them and explain which is warmer.

03 · CHECK

Answers and reasoning

Reveal the teacher answer key
  1. <

    -8 < -2; greater numbers lie farther right.

  2. <

    -6 < -5; greater numbers lie farther right.

  3. >

    -3 > -6; greater numbers lie farther right.

  4. <

    -7/4 < -5/4; greater numbers lie farther right.

  5. >

    -3/10 > -3/5; greater numbers lie farther right.

  6. >

    -2 > -7/3; greater numbers lie farther right.

  7. -2 < -2/5; -2/5°C is warmer

    The greater value is farther right on a number line, even when both are negative.

  8. -1 < -2/5; -2/5°C is warmer

    The greater value is farther right on a number line, even when both are negative.

  9. -1 > -7/4; -1°C is warmer

    The greater value is farther right on a number line, even when both are negative.

  10. -3/2 < -2/5; -2/5°C is warmer

    The greater value is farther right on a number line, even when both are negative.

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