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

Lesson 7.4Ordering Integers and Rational Numbers

Start hereWords, worked example, and sentence starters

Name Date Period

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

Start hereWords for this lesson

Read each word before you begin. Say it out loud.

WordWhat it meansExample
Number lineSpanish: Recta numérica A straight line where numbers are placed in order; numbers get smaller to the left and larger to the right. ← -3 -2 -1 0 1 2 3 →
CompareSpanish: Comparar To see if a number is bigger, smaller, or equal to another. -3 < 2 because -3 is farther left on the number line than 2
OrderSpanish: Ordenar To arrange numbers by size, from least to greatest or greatest to least. −9, −2, 0, 6
Greater thanSpanish: Mayor que The > sign, showing one number is bigger. 4 > -1 because 4 is to the right of -1 on the number line
Less thanSpanish: Menor que The < sign, showing one number is smaller. -6 < -2 because -6 is farther left — it is farther from zero
Negative integerSpanish: Entero negativo A whole number smaller than zero, like -5. -4 is 4 units to the LEFT of zero on the number line

How it worksWorked example

These numbers are not on your problems. The steps are. Follow them with your own numbers.

Order −6, 1.5, −0.5, and 3/4 from least to greatest.

  1. 3/4 = 0.75.
  2. Negatives first: −6 < −0.5.
  3. Then positives: 0.75 < 1.5.

Answer: −6, −0.5, 3/4, 1.5

Say it and write itSentence starters

Finish each sentence out loud with a partner. Then use them in your writing.

  • I placed before because .
  • From least to greatest the order is , , .
  • The absolute value of is , which measures .
  • The number farthest from zero is , but the greatest number is .

Word bank orderleastgreatestabsolute valuedistancepositionnumber linenegativepositiveinequalityleftright

Watch out!A common mistake

A common mistake in Compare and Order Integers is thinking that a negative number with a bigger digit is the bigger value

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

Lesson 7.4Ordering Integers and Rational Numbers

Apply Day · Version ASupported practice

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

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

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

    Which is greater: −16 or −8?

    Show your work

    Hint The number farther right on a number line is greater.

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

    Which symbol goes in −4 ___ 2? Use < or >.

    Show your work

    Hint A negative number is always left of a positive number.

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

    Which is less: 0 or −19?

    Show your work

    Hint Negative numbers are left of 0.

    Final answer:
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 7.4Ordering Integers and Rational Numbers

Apply Day · Version BCore practice

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

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

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

    Max writes −10 > −2 because 10 > 2. Which symbol should go in −10 ___ −2?

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

    Which is greater: −4.2 or −4.25?

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

    Which is greater: −14 or −20?

    Show your work
    Final answer:
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 7.4Ordering Integers and Rational Numbers

Apply Day · ChallengeExtension

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

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

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

    Order these numbers from LEAST to GREATEST: −2, 1.5, −4.5, 0, 3.

    1. A−2, −4.5, 0, 1.5, 3
    2. B3, 1.5, 0, −2, −4.5
    3. C−4.5, −2, 0, 1.5, 3
    4. D−4.5, −2, 0, 3, 1.5
    Show your work
  2. 2Complete each step, then write the final answer.

    Eva says −0.6 < −0.55 is false because 0.55 has more digits. Which is greater: −0.6 or −0.55?

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

    Which is less: −5.6 or −5.65?

    Show your work
    Final answer:
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