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

Lesson 7.47.3 · 7.4 · 7.5 Catch-Up

Start hereWords, worked example, and sentence starters

Name Date Period

Learning target I can show I am caught up on Lessons 7.3 · 7.4 · 7.5 by using each lesson's big idea in mixed practice.

Why This Matters Missed a lesson — or just want a refresher? This catch-up station reviews Lessons 7.3 · 7.4 · 7.5: 7.3 Understand Absolute Value of Rational Numbers, 7.4 Compare and Order Integers and Rational Numbers, 7.5 Represent Rational Numbers on the Coordinate Plane. Work one example from each lesson, then prove you're caught up in the mixed practice.

Start hereWords for this lesson

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

WordWhat it meansExample
IntegerSpanish: Número entero Whole numbers and their opposites, like -2, -1, 0, 1, 2. ... -3, -2, -1, 0, 1, 2, 3 ... shown on a number line with 0 in the center
PositiveSpanish: Positivo A number bigger than zero, to the right of zero on a number line. +5 means 5 above zero, like 5 floors above ground level
NegativeSpanish: Negativo A number smaller than zero, to the left of zero on a number line. -3 means 3 below zero, like 3 floors underground
Absolute valueSpanish: Valor absoluto How far a number is from zero. It is never negative. |-5| = 5 and |5| = 5 — both are 5 units from 0
OppositeSpanish: Opuesto Two numbers the same distance from zero, on opposite sides, like 3 and -3. 3 and -3 are opposites — both are 3 units from 0
Rational numberSpanish: Número racional A number that can be written as a fraction of two integers, with a bottom number that is not zero. −1/2, 0 and 5/4 each sit at one exact point.

How it worksWorked example

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

Compare −14 degrees and −5 degrees.

  1. Plot −14 and −5 on a number line.
  2. −5 is to the right of −14.
  3. Write the comparison: −14 < −5.

Answer: −5 is greater; −14 is colder

Now you trySame steps, your turn

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

Find |−2.5|.

Answer:

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 out!A common mistake

A common mistake in Graph on the Coordinate Plane is swapping the order of the coordinates

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

Lesson 7.47.3 · 7.4 · 7.5 Catch-Up

Catch-UpSkill bridge

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

Learning target I can show I am caught up on Lessons 7.3 · 7.4 · 7.5 by using each lesson's big idea in mixed practice.

Why This Matters Missed a lesson — or just want a refresher? This catch-up station reviews Lessons 7.3 · 7.4 · 7.5: 7.3 Understand Absolute Value of Rational Numbers, 7.4 Compare and Order Integers and Rational Numbers, 7.5 Represent Rational Numbers on the Coordinate Plane. Work one example from each lesson, then prove you're caught up in the mixed practice.

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

    Find |−16|.

    Show your work

    Hint Count the units from −16 to 0.

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

    Find |10|.

    Show your work

    Hint 10 is to the right of 0. How far is it?

    Final answer:
  3. 3Complete 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:
  4. 4Complete 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:
  5. 5Complete each step, then write the final answer.

    To plot (9, 1), how many units do you move up from the origin?

    Show your work

    Hint The second number is y. It tells how far to move up.

    Final answer:
  6. 6Complete each step, then write the final answer.

    A point is 4 units right and 6 units up from the origin. What is its y-coordinate?

    Show your work

    Hint y tells how far up the point is.

    Final answer:

Explain your thinkingYou plotted a triangle. How did the ordered pairs tell you exactly where to place each point?

Sentence starter The first number in the ordered pair tells me ___ and the second number tells me ___. The point (5, 4) means ___.

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