Lesson 1.1 Integers and Their Opposites

Lesson 1.1
Integers and Their Opposites

Definitions:

Opposite Integers: An opposite integer is an integer that shares the same distance from 0 as its opposite.
Ex: -1 and 1 or -5 and 5 or -10000000 and 10000000
Absolute Value: The absolute value of a number is the distance that number has from 0. Note: if two numbers share the same absolute value, they will be opposite integers.
Ex: |5| = 5 or |-10| = 10

​Visual:

​Today's Goal:

​Today we are going to learn to identify and use opposite integers. We will do this using number lines, counters and common sense.

​Ex: Use counters to find the opposite integer of 3.

Multiple Choice

What is the opposite integer of 4?

• 0

• -4

• 4

• 8

Multiple Choice

What is the opposite integer of -6?

• -5

• -6

• 0

• 6

​Ex: Use a number line to find the opposite integer of -7.

Draw

Find the opposite integer of -2 and use the number line to show this.

​Quantities combining to make zero:

1. ​Mr. Carbone has $5 in his pocket and spent $5. How much money does he have left?

2. Mr. Carbone is bad at keeping friends. Last year he made 4 friends and lost 4 friends. What was his net change in friends.

3. Class Example?

4. Pair and share:

Multiple Choice

Which statement best describes a situation where quantities combine to make 0?

• A scuba diver swam to a location 20 feet below sea level, then she swam 10 feet deeper.

• A hot air balloon used propane to fly 50 feet higher, then used weights to fly 50 feet lower.

• A child grew 1.5 inches taller one year, then 1.5 inches taller the next year.

• A farmer mowed 4 inches off his grass one week, then it grew 7 inches the next week.

​Conclusion: Write two complete sentences about what you learned.

​I learned that opposite integers share _______.

I can use tools like _____ or _____ to show opposite integers.
I know two quantities will combine to zero if they are _____.