Grade 6 Mathematics · Unit 7: Integers, Rational Numbers, and the Coordinate PlaneStandard 6.NOS.8

Lesson 7.4Compare and Order Integers and Rational Numbers

Set B · Version ASecond form · supported practice

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
Name Date Period

Learning target I can compare and order integers using a number line.

Why This Matters Lucy and Yuzuki are playing a trivia game with these rules: if a player answers a question correctly, they receive 1 point; if they answer incorrectly, they lose 0.25 point. The player with the greatest score wins the game. The final scores for two games are shown in the table. Who is the winner of each game?

RememberCompare and Order Integers and Rational Numbers

Comparing & Ordering Rational Numbers. Formula: Left is Less (<) | Right is Greater (>) To compare integers means to see which one is greater or less. On a number line, numbers get bigger as you go right and smaller as you go left.

  1. Plot or visualize numbers on a horizontal number line.
  2. Numbers further to the left are always less than numbers to the right.
  3. For negatives: A negative number with a larger absolute value is smaller (-10 < -2)

Words: Number line (Recta numérica)Compare (Comparar)Order (Ordenar)Greater than (Mayor que)Less than (Menor que)

  1. 1Circle the letter of the best answer. Show how you know.

    What is the absolute value of -9?

    1. A-9
    2. B0
    3. C1
    4. D9
    Show your work
  2. 2Circle the letter of the best answer. Show how you know.

    Which integer has the GREATEST absolute value: -3, 7, -5, 2?

    1. A-5
    2. B-3
    3. C2
    4. D7
    Show your work
  3. 3Circle the letter of the best answer. Show how you know.

    What is |0|?

    1. A1
    2. B-1
    3. C0
    4. DThere is no answer
    Show your work
  4. 4Circle the letter of the best answer. Show how you know.

    A weather station recorded these temperatures during a winter week: Monday -4°F, Tuesday 2°F, Wednesday -7°F, Thursday -1°F, Friday 5°F. The station needs to report the coldest and warmest days. Which day was coldest?

    1. AThursday at −1°F
    2. BTuesday at 2°F
    3. CMonday at −4°F
    4. DWednesday at −7°F
    Show your work
  5. 5Circle the letter of the best answer. Show how you know.

    A weather station recorded these temperatures during a winter week: Monday -4°F, Tuesday 2°F, Wednesday -7°F, Thursday -1°F, Friday 5°F. The station needs to report the coldest and warmest days. Which is colder, −4°F or −1°F?

    1. A−4°F, because it is farther left on the number line
    2. B−1°F, because 1 is smaller than 4
    3. CThey are the same
    4. D−1°F, because it is closer to zero
    Show your work
  6. 6Circle the letter of the best answer. Show how you know.

    A weather station recorded these temperatures during a winter week: Monday -4°F, Tuesday 2°F, Wednesday -7°F, Thursday -1°F, Friday 5°F. The station needs to report the coldest and warmest days. Order the temperatures from coldest to warmest.

    1. A−1, −4, −7, 2, 5
    2. B2, 5, −1, −4, −7
    3. C5, 2, −1, −4, −7
    4. D−7, −4, −1, 2, 5
    Show your work

Explain your thinkingHow does plotting on the number line help you compare and order integers?

Sentence starter On the number line, ___ is to the left of ___, so ___ < ___. The order from least to greatest is ___.

3-Point Exit Checklist: ☐ 1. Units & Labels Verified ☐ 2. Mathematical Reasoning Stated ☐ 3. Calculations Double-Checked
How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help
Grade 6 Mathematics · Unit 7: Integers, Rational Numbers, and the Coordinate PlaneStandard 6.NOS.8

Lesson 7.4Compare and Order Integers and Rational Numbers

Set B · Version BSecond form · core practice

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
Name Date Period

Learning target I can compare and order integers using a number line.

Why This Matters Lucy and Yuzuki are playing a trivia game with these rules: if a player answers a question correctly, they receive 1 point; if they answer incorrectly, they lose 0.25 point. The player with the greatest score wins the game. The final scores for two games are shown in the table. Who is the winner of each game?

Part 1Understand the ideamodels and meaning
  1. 1Write the name of the correct group on each line.

    Sort each treasure marker into the right zone on the map: below sea level or above sea level.

    Groups: Less than 0 (below sea level) Greater than 0 (above sea level)
    • -6 m shipwreck
    • 4 m cliff nest
    • -1 m anchor
    • 7 m crow's nest
    • -12 m trench chest
    • 3 m palm flag
  2. 2Write the letter of the matching item on each line.

    Match each treasure-map comparison to the symbol that makes it true.

    1. -6 ___ -2
    2. 5 ___ -9
    3. -4 ___ -11
    4. -7 ___ 0
    • A<
    • B>
    • C>
    • D<
Part 2Apply itreal-world problems
  1. 3Circle the letter of the best answer. Show how you know.

    Four spots: -3 m, 2 m, -7 m, 0 m. Order them from least to greatest.

    1. A-7, -3, 0, 2
    2. B-7, -3, 2, 0
    3. C-3, -7, 0, 2
    4. D2, 0, -3, -7
    Show your work
  2. 4Circle the letter of the best answer. Show how you know.

    Three buried chests sit at -9 m, -4 m, and -15 m below sea level. Which chest is at the GREATEST elevation (closest to the surface)?

    1. A-9 m
    2. B-15 m
    3. CThey are equal
    4. D-4 m
    Show your work
  3. 5Circle the letter of the best answer. Show how you know.

    On the map, a sunken lantern is at -8 m and a coral shelf is at -3 m. Which symbol makes the comparison true: -8 ___ -3 ?

    1. A>
    2. B=
    3. C≥
    4. D<
    Show your work
Part 3Explain and correctreasoning
  1. 6Find the mistake. Explain it, then show the correct work.

    Level 2 Extension — The Mis-Ranked Treasure Map

    1. 1ProblemOrder the chest depths from least to greatest: -8 m and -15 m.
    2. 2Crew thinking15 has bigger digits than 8, so -15 must be the bigger number. I'll list -8 first because it must be smaller.
    3. 3Crew answerLeast to greatest: -8, -15

    Which step has the mistake? Explain what went wrong, then show the correct work.

    Correct work
    Correct answer:

Explain your thinkingHow does plotting on the number line help you compare and order integers?

3-Point Exit Checklist: ☐ 1. Units & Labels Verified ☐ 2. Mathematical Reasoning Stated ☐ 3. Calculations Double-Checked
How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help