11-1

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11-1 Integers in Real-World Situations11-1 Integers in Real-World Situations

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HomeworkHomework

pp. 604 – 605 3 – 48 mult of 3pp. 604 – 605 3 – 48 mult of 3

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11-1 Integers in Real-World Situations

Warm Up

Solve each.

1) 5.32 + 6.95 2) 7 – 2.54 3) 4.2 x 5.48

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11-1 Integers in Real-World Situations

Problem of the Day

Four friends are waiting in line at the amusement park. Jenna is in front of Kyle. Kyle is behind Gary and in front of Maggie. Gary is first. In what order are they waiting?

Gary, Jenna, Kyle, Maggie

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11-1 Integers in Real-World Situations

Review homework from last night

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11-1 Integers in Real-World Situations

Obj. – To learn about integers. (6.NS.6a; 6.NS.7a; 6.NS.7b; 6.NS.7c; 6.NS.7d )

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11-1 Integers in Real-World Situations

Vocabulary

positive numbernegative numberoppositesinteger

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11-1 Integers in Real-World Situations

Positive numbers are greater than 0. They may be written with a positive sign (+), but they are usually written without it.

Negative numbers are less than 0. They are always written with a negative sign (–).

–5 –4 –3 –2 –1 0 +1 +2 +3 +4 +5

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11-1 Integers in Real-World Situations

Integers are the set of all positive and negative whole numbers and zero.

–5 –4 –3 –2 –1 0 +1 +2 +3 +4 +5

Opposites

Positive IntegersNegative Integers

0 is neither negative nor positive.

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11-1 Integers in Real-World Situations

Example 1: Identifying Positive and Negative Numbers in the Real World

Name a positive or negative number to represent each situation.

A. a jet climbing to an altitude of 20,000 feet

B. taking $15 out of the bank

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11-1 Integers in Real-World Situations

The set of whole numbers includes zero and the counting numbers.

{0, 1, 2, 3, 4, …}

Remember!

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11-1 Integers in Real-World Situations

Example 2: Graphing Integers

Graph each integer and its opposite on a number line.

A. +2

–5 –4 –3 –2 –1 0 +1 +2 +3 +4 +5

B. –5

–5 –4 –3 –2 –1 0 +1 +2 +3 +4 +5

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11-1 Integers in Real-World Situations

Example 2 continued

Graph each integer and its opposite on a number line.

C. 0

–5 –4 –3 –2 –1 0 +1 +2 +3 +4 +5

Zero is its own opposite.

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11-1 Integers in Real-World Situations

Numbers on a number line increase in value as you move from left to right.

Remember!

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11-1 Integers in Real-World Situations

Absolute Value (ABS) – The distance a number is from zero.

Ex 3) | 7 | = | -3 | =

| -13 | = | (4 x 7) | =

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11-1 Integers in Real-World Situations

Lesson QuizName a positive or negative number to represent each situation.

1. saving $15

2. 12 feet below sea level

3. What is the opposite of –6?

4. When the Swanton Bulldogs football team

passed the football, they gained 25 yards.

Write an integer to represent this situation.

–12

+15

6

+25