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.

Start hereWords for this lesson

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

Word	What it means	Example
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 examplewriting an integer and naming its opposite

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

A submarine sits 47 meters below the surface of the water. Write an integer for its depth, then name the opposite.

Decide the direction. Below the surface is less than 0, so the integer is negative.
Write the integer with a negative sign. depth = −47
The opposite sits the same distance from 0 on the other side. 47
Check on a number line: one point is left of 0, one is right, both 47 units away.

Answer: The depth is −47 meters and its opposite is 47.

Now you trySame steps, your turn

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

A drone hovers 26 meters above the ground. Write an integer for its height, then name the opposite.

Decide the direction. Above the ground is than 0, so the sign is .
Write the integer. height =
The opposite sits on the side of 0. opposite =
Check on a number line: both points are units from 0.

Answer:height and its opposite

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 outA common mistake

The most common mistake in this lesson is thinking that the opposite of a negative integer is still negative — for example, saying the opposite of -7 is -7, or that the opposite of -12 is -24. Opposites are the same DISTANCE from 0 but on OPPOSITE sides of 0, so taking an opposite always changes the direction and never changes the distance: the opposite of -7 is 7 and the opposite of -12 is 12. The one exception is 0, which is 0 units from itself and is therefore its own opposite. Before you submit, count the units from 0 and check that your answer is on the other side.

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

1Complete each step, then write the final answer.
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:
2Complete each step, then write the final answer.
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:
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:
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:
5Complete each step, then write the final answer.

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:
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 ___.

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