course 1 11-1 integers in real-world situations 11-1 integers in real-world situations course 1...
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Course 1
11-1 Integers in Real-World Situations11-1 Integers in Real-World Situations
Course 1
HomeworkHomework
pp. 604 – 605 3 – 48 mult of 3pp. 604 – 605 3 – 48 mult of 3
Course 1
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
Course 1
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
Course 1
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 )
Course 1
11-1 Integers in Real-World Situations
Vocabulary
positive numbernegative numberoppositesinteger
Course 1
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
Course 1
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.
Course 1
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
Course 1
11-1 Integers in Real-World Situations
The set of whole numbers includes zero and the counting numbers.
{0, 1, 2, 3, 4, …}
Remember!
Course 1
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
Course 1
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.
Course 1
11-1 Integers in Real-World Situations
Numbers on a number line increase in value as you move from left to right.
Remember!
Course 1
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) | =
Course 1
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