1. (-5) + 5 = ______ 2. 9 + (-9) = ______

3. Justify your answer using the number line above.

4. On the number line above, place the number 7 and it’s opposite. What do you notice about the distance between both of these and zero?

Vocabulary5. The distance a number is from zero is called an __________.

6. When the sum of two numbers add to zero, those two numbers are _____________________.

Opening Exercises – Output (Left Side)

Lesson 1 & 2: Using a Number Line to Model Addition & Opposite Quantities Combine to Make

Zero

Skills/ I can:

1. Show that an integer and it’s opposite will always have the sum of zero, using a number line.

2. Demonstrate addition of integers using arrows on a number line.

3. Describe real-world situations where opposite quantities combine to make zero.

Integer Game

1. A student serves as the dealer (as well as a player) and provides each player with 4 cards.

2. The dealer turns one more card face up on the playing surface, starting a discard pile. The remaining cards become a draw pile.

3. The player to the dealer’s right begins play. On his or her turn, a player may select the top card from either the discard pile or the draw pile. They then discard one of their cards on discard pile.

Players goal: a. Have your hand’s total card value stay as close to zero as possible.b. Each turn determines how the card drawn affects your total card value.c. Decide which card to discard, to keep the total value of their hand as close to

zero as possible.

4. Play continues with the next player, in the same manner, until all players have picked up and discarded a card four times.

5. The player(s) with a score of zero (or closest to zero) wins the round.

Sum:__________ Sum:__________

Example 1: Combining Opposites to make Zeros (Input – Right side)

Sum:__________ Sum:__________

Example 2: Using the number line to count on (INPUT – right side)

The Integer Game!!!

With your team, play the integer.

Remember each person picks up a card and discards a card four times.

The person with the hand closest to zero wins that round!

Play as many rounds as you can in the next ______ minutes.

Reflection Questions (Output – Left Side)

1. What is the result of two cards that are opposite of each other?

Example: 5 and -5 or -12 and 12

2. Give two examples of how positive and negative quantities are used in the real-world.

3. Give two examples of the meaning of zero in the real-world.

4. How are opposite quantities used in the real-world?

Unit 1 - Module 2 Lessons 1-16 (7.NS.A.1,2,3)Addition, Subtraction, Multiplication, and Division of Integers and Rational Numbers

Home-fun Assignments •Checked daily at the beginning of class period for completion.•Periodically, 1 to 2 assignments per week will be collected and a problem from that assignment will be graded as an assessment score on 1-4 scale.•Solutions from selected problems can be accessed on the lesson presentations on Mr. Ory’s teacher page.

1. Lesson 1 and 2 Exit Tickets2. Lesson 3 and 4 Exit Tickets3. Lesson 5 Exit Ticket and Problem Set4. Lesson 6 Exit Ticket and Problem Set5. Lesson 7 Exit Ticket and Problem Set6. Lesson 8 and 9 Exit Tickets7. Lesson 10 and 11 Exit Tickets8. Lesson 12 Exit Ticket and Problem Sets9. Lesson 13 and 14 Exit Tickets10. Lesson 15 Exit Ticket and Problem Set11. Lesson 16 Exit Ticket and Problem Set

Interactive Notebook Check on Lessons 1-16 will be on the day of the Unit 1 Assessment.

Put a circle next to any question you may have missed.

Negative Numbers

Positive Numbers

VocabularyYou should find these definitions in your Math Terms Glossary app.• Integer• Absolute Value

These terms are considered background knowledge and need to be known in order to move on with lesson 1.

Review• What is ?

Why?• What is ?

Why?

Which number is greater 1 or ?

Why?

Negative Numbers

Positive Numbers

What do you know?

Lesson 1: Opposite Quantities Combine to

Make Zero Objectives• Students add positive integers by

counting up and negative integers by counting down

• Students know the opposite of a number is called the additive inverse because the sum of the two numbers is zero.

VocabularyYou should find these definitions in your Math Terms Glossary app.• Integer• Absolute Value

These terms are considered background knowledge and need to be known in order to move on with lesson 1.

Review• What is ?

Why?• What is ?

Why?

Which number is greater 1 or ?

Why?

What do you know?

Lesson 2: Using the Number Line to Model Addition of Integers

Objective:

1. Model integer addition on the number line using horizontal arrows.

2. Recognize that the length of the arrow on the number line is the absolute value of the integer.

3. Add arrows. Given several arrows, indicate the number that the arrows represent (the sum).

Suppose you received $10 from your favorite aunt on your birthday. You spent $4 on snacks. Using addition, how would you write a number sentence that represents this situation?