Grade 6 Mathematics · Unit 7: Integers, Rational Numbers, and the Coordinate PlaneStandard 6.NOS.5

Lesson 7.17.1 Small Group · Group 1

Start hereWords, worked example, and sentence starters

Name Date Period

Learning target With my small group, I can use integers to represent quantities in everyday life, explain what 0 means in each situation, and name the opposite of an integer on the number line — one step at a time, with support.

Why This Matters This is your support small group for Lesson 7.1. We're going to slow this down and build it together, one step at a time. You can ask a question any time — that's what this group is for.

Start hereWords for this lesson

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

WordWhat it meansExample
IntegerSpanish: Número entero The counting numbers, their opposites, and 0. −9, −1, 0, 6, 230
OppositeSpanish: Opuesto A number that is the same distance from 0 as another number, but on the other side of 0. −6 and 6 are opposites
Negative numberSpanish: Número negativo A number less than 0, written with a − sign. On a number line it sits to the left of 0. −9 is read negative nine
Positive numberSpanish: Número positivo A number greater than 0. On a number line it sits to the right of 0. 6, 19, 230
Number lineSpanish: Recta numérica A straight line where numbers are placed in order. It extends to the left of 0 to show values less than 0. left is less, right is more
Opposite of the oppositeSpanish: Opuesto del opuesto Taking the opposite twice brings you back to the first number. −(−6) = 6

How it worksWorked example

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

A game score starts at 0. You earn 8 points, then you lose 8 points. Write each as an integer.

  1. 0 means the starting score.
  2. Earn 8 points: 8. Lose 8 points: −8.
  3. Both are 8 units from 0, on opposite sides.

Answer: 8 and −8 are opposites

Now you trySame steps, your turn

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

One day in January, the temperature in Toronto was 9°C. In Reykjavik, it was −9°C. Show that 9 and −9 are opposites.

Answer:

Say it and write itSentence starters

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

  • The integer represents .
  • Zero stands for in this situation.
  • The opposite of is because .
  • On the number line, sits units to the of 0.

Word bank integeroppositenegativepositivenumber linezerodistanceabovebelowleftrightsign

Watch out!A common mistake

The most common mistake in this lesson is thinking that the opposite of a negative integer is still negative

Grade 6 Mathematics · Unit 7: Integers, Rational Numbers, and the Coordinate PlaneStandard 6.NOS.5

Lesson 7.17.1 Small Group · Group 1

Group 1Supported practice

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

Learning target With my small group, I can use integers to represent quantities in everyday life, explain what 0 means in each situation, and name the opposite of an integer on the number line — one step at a time, with support.

Why This Matters This is your support small group for Lesson 7.1. We're going to slow this down and build it together, one step at a time. You can ask a question any time — that's what this group is for.

  1. 1Complete each step, then write the final answer.
    −50−40−30−20−100102030405040 units40 unitssubmarinesurface?
    Both points are 40 units from 0.

    A submarine is 40 meters under the surface of the ocean. The surface is 0. Write the submarine's position as an integer. Then name its opposite.

    1. 1What does 0 mean in this problem?
    2. 2Is the submarine more than 0 or less than 0?
    3. 3Write the submarine's position as an integer.
    4. 4What is the opposite of −40?
    Final answer:
  2. 2Complete each step, then write the final answer.
    −30−25−20−15−10−5051015202530spendno changeearn
    Earning and spending go on opposite sides of 0.

    Sam earns $25 on Saturday. On Sunday he spends $25. Zero means no change in his money. Write each change as an integer.

    1. 1Earning adds money. Write earning $25 as an integer.
    2. 2Spending takes money away. Write spending $25 as an integer.
    3. 3Are 25 and −25 opposites? Tell why.
    Final answer:
  3. 3Complete each step, then write the final answer.

    What is the opposite of −6?

    Show your work

    Hint Find the number that is the same distance from 0 on the other side.

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

    In Reykjavik, the temperature was 14 degrees colder than 0°C. Write the temperature as an integer.

    Show your work

    Hint Colder than 0 means less than 0. Use a − sign.

    Final answer:
  5. 5Complete each step, then write the final answer.
    −10−8−6−4−20246810start
    Gains go right of 0. Losses go left.

    On one play, a football team loses 7 yards. The starting line is 0. Write the play as an integer.

    Show your work

    Hint A loss moves the team back from the starting line. Is that more or less than 0?

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

    Leo says the opposite of −11 is −11, because it is the same number. Is he right? What is the opposite of −11?

    Show your work

    Hint An opposite is on the other side of 0. Which side is −11 on?

    Final answer:

Explain your thinkingWhat does 0 mean for the submarine? What does 0 mean for Sam's money? How do you decide if a number is negative?

Sentence starter For the submarine, 0 means ___. · A number is negative when ___.

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