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

Lesson 7.47.4 Small Group · Group 2

Start hereWords, worked example, and sentence starters

Name Date Period

Learning target I can compare and order integers using a number line, explain how I can tell, and judge a case I have not seen before.

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. left is less, right is more
CompareSpanish: Comparar To see if a number is bigger, smaller, or equal to another. −7 compared with −3
OrderSpanish: Ordenar To arrange numbers by size, from least to greatest or greatest to least. Least to greatest: -5, -2, 0, 3, 7 (left to right on the number line)
Greater thanSpanish: Mayor que The > sign, showing one number is bigger. −3 > −7
Less thanSpanish: Menor que The < sign, showing one number is smaller. −7 < −3
Negative integerSpanish: Entero negativo A whole number smaller than zero, like -5. −7, −3, −100

How it worksWorked examplecomparing two scores on a number line

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

In a quiz game Dana scored −1.25 points and Eli scored −0.75 points. Whose score was greater?

  1. Plot both numbers. Mark quarters between the integers so each point lands exactly.
  2. Find which point sits farther right. −0.75 sits right of −1.25
  3. On a number line, right always means greater and left always means less.
  4. Write the comparison with a symbol: −0.75 > −1.25

Answer: −0.75 > −1.25, so Eli's score was greater.

Now you trySame steps, your turn

The steps are the same as the worked example. The numbers are yours. Do the work.

In the next round Mia scored −2.5 points and Cruz scored −3.5 points. Whose score was greater?

  1. Plot both numbers. Mark between the integers so each point lands exactly.
  2. Which point sits farther to the right?
  3. On a number line, right means and left means .
  4. Write the comparison with a symbol:
Answer:the comparison and whose score was greater

Say it and write itSentence starters

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

  • On the number line, sits to the of , so is greater.
  • I can write the comparison as .
  • The least number in this set is because .
  • Comparing two negative numbers is different from counting because .

Word bank compareordergreater thanless thannumber lineleftrightnegativepositiveleastgreatestinequality

Watch outA common mistake

A common mistake in Compare and Order Integers is thinking that a negative number with a bigger digit is the bigger value — for example, believing -15 is greater than -8 because 15 is greater than 8. It's the opposite for negatives: the number farther to the left on the number line (farther from zero) is always the LESSER value, so -15 < -8. Before you submit, check your comparison against the number line, not just the digits.

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

Lesson 7.47.4 Small Group · Group 2

Group 2Challenge practice

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

Learning target I can compare and order integers using a number line, explain how I can tell, and judge a case I have not seen before.

  1. 1Complete each step, then write the final answer.
    −4−3−2−101−3−1.5−10.5
    Left is less.

    Order from least to greatest: −1.5, 0.5, −3, −1.

    1. 1Which number is least?
    2. 2Which is greater: −1.5 or −1?
    3. 3Write all four in order.
    Final answer:
  2. 2Complete each step, then write the final answer.
    −1−0.75−0.5−0.250−¾−½
    0 to −1 split into fourths.

    Compare −3/4 and −1/2. Use < or >.

    1. 1Write both as decimals.
    2. 2Which number is farther left?
    3. 3Which symbol goes in −3/4 ___ −1/2?
    4. 43/4 > 1/2. Why is −3/4 the lesser number?
    Final answer:
  3. 3Complete each step, then write the final answer.

    Which is greater: −4.2 or −4.25?

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

    Which is less: −2 1/3 or −2.3?

    Show your work
    Final answer:
  5. 5Complete each step, then write the final answer.

    Four divers are at −8.5 m, −12 m, −6.75 m and −12.4 m. Which diver is deepest?

    Show your work
    Final answer:
  6. 6Complete 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:

Explain your thinkingAna's shortcut says the number with bigger digits is greater. When does the shortcut work? When does it break? Give an example of each.

ChallengeWrite your own problem

Write a new word problem that uses this lesson's idea. Then solve it and show every step.

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