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Good Morning!

- Please have the following on your desk
- Warm-Up
- Colored pen
- INB
- Pencil
- White board
- Whiteboard marker
- Complete warm-up 2-1
- Complete vocabulary hand out
- Set up your interactive notebook for today’s lesson

2-1 Introduction to Integers

Objective: I can compare and order integers and determine absolute value.

Now set up the left side of the page & complete:

Page number:

Lesson title: Introduction to Integers

Learning goal: (write the objective in your own words)

What I know: (Write 1 or 2 sentences explaining what you already know about the lesson)

Standards

Preparation for NS1.1 Compare and order positive and negative fractions, decimals, and mixed numbers and place them on a number line.

Dr. Sylvia Earle holds the world record for the deepest solo dive to an elevation of -1, 250 feet.

When solving real-world problems, you can describe elevations below sea level.

Foldable for the right side of your INB

- Complete the vocabulary handouts and cut out.
- Staple/tape one on top of the other to create a vocabulary flip book
- Glue the Absolute Value at the bottom

Notes

- Positive integers are all the whole numbers greater than zero: 1, 2, 3, 4, 5, ...
- Negative integers are all the opposites of these whole numbers: -1, -2, -3, -4, -5, … .
- We do not consider zero to be a positive or negative number. It is neutral.
- For each positive integer, there is a negative integer, and these integers are called opposites. For example, -3 is the opposite of 3, -21 is the opposite of 21, and 8 is the opposite of -8.
- If an integer is greater than zero, we say that its signis positive.
- If an integer is less than zero, we say that its signis negative.

The opposite of a number is the same

distance from 0 on a number line as the

original number, but on the other side

of 0. Zero is its own opposite.

–4 and 4 are opposites

–4

4

•

•

1 2 3 4 5

–5–4–3–2–1 0

Positive integers

Negative integers

0 is neither positive

nor negative

The teacher tells students to “Stand up, put a hand up, and pair up.”

- Partner A quizzes B.
- Partner B answers.
- Partner A praises or coaches.
- Partners switch roles.
- Partners trade cards and thank each other.
- Repeat steps 1-6 a number of times.

Vocabulary terms

HELPFUL HINTS!!!

You can compare and order integers by graphing them on a number line. Integers increase in value as you move to the right along a number line. They decrease in value as you move to the left.

1 2 3 4 5 6 7

Additional Example 1: Graphing Integers and Their Opposites on a Number Line

Graph the integer –7 and its opposite on a number line.

7 units 7 units

The opposite of –7 is 7.

–7–6–5–4–3–2–1 0

1 2 3 4 5 6 7

The symbol < means “is less than,” and the symbol > means “is greater than.”

Additional Example 2A: Ordering Integers Using a Number Line

Compare the integers. Use < or >.

4 –4

4 is farther to the right than –4, so 4 > –4.

Additional Example 3: Ordering Integers Using a Number Line

–8 –7–6 –5–4 –3 –2 –1 0

1 2 3 4 5 6 7 8

Use a number line to order the integers from least to greatest.

–3, 6, –5, 2, 0, –8

The numbers in order from least to greatest are –8, –5, –3, 0, 2, and 6.

YOUR TURN! On your white board

E. Use a number line to order the integers –2, 3, –4, 5, and –1 from least to greatest.

The symbol | | is read as “the absolute value of.” For example, |–3| means "the absolute value of –3."

–12 –11 –10 –9 –8 –7 –6 –5 –4 –3 –2 –1 0 1 2

Finding Absolute Value

Copy this inside your “Absolute Value Foldable”

Use a number line to find the absolute value.

|–12|

–12 is 12 units from 0, so |–12| = 12.

–12 –11 –10 –9 –8 –7 –6 –5 –4 –3 –2 –1 0 1 2

YOUR TURN! On your white board

Use a number line to find the absolute value.

|–9|

–9 is 9 units from 0, so |–9| = 9.

YOUR TURN! On your white board

Compare. Use <, >, or =.

B. 26 |–26|

C. What is the absolute the absolute value of │-5│?

D. What is the absolute value of │11│?

Left side time!

What I learned: write 1-2 sentences about what you learned.

Proof: What\'s the Error? At 9 AM the outside temperature was -3˚ F. By noon it was -12˚F. A newscaster said that it was getting warmer outside. Why is this incorrect?

Reflection: Give an example in which a negative number has a greater absolute value than a positive number.

Homework

- Homeroom: pg. 72 #18-21; 24; 38-40; 42; 44
- Switch: pg 72 #32-46 EVENS; 48-49

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