Transcript 11-2 - Mr. C. Street

11-2 Comparing and Ordering Integers
Warm Up
Problem of the Day
Lesson Presentation
Lesson Quizzes
11-2 Comparing and Ordering Integers
Warm Up
Compare. Write <, >, or =.
1. 8,426
8,246 >
2. 9,625
6,852 >
3. 2,071
2,171 <
4. 2,250
2,250 =
11-2 Comparing and Ordering Integers
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
11-2 Comparing and Ordering Integers
Learn to compare and order integers.
11-2 Comparing and Ordering Integers
Remember!
Numbers on a number line increase in
value as you move from left to right.
11-2 Comparing and Ordering Integers
Additional Example 1: Comparing Integers
Use the number line to compare each pair of
integers. Write < or >.
–5 –4 –3 –2 –1
A. –2
0
1
2
3
4
5
2
–2 < 2
–2 is to the left of 2 on the number line.
B. 3
–5
3 > –5 3 is to the right of –5 on the number line.
C. –1
–4
–1 > –4 –1 is to the right of –4 on the number line.
11-2 Comparing and Ordering Integers
Check It Out: Example 1
Use the number line to compare each pair of
integers. Write < or >.
–5 –4 –3 –2 –1
0
1
2
3
4
5
A. –2
1
–2 < 1 –2 is to the left of 1 on the number line.
B. 2
–3
2 > –3 2 is to the right of –3 on the number line.
C. –3
–4
–3 > –4 –3 is to the right of –4 on the number line.
11-2 Comparing and Ordering Integers
Additional Example 2: Ordering Integers
Order the integers in each set from least to
greatest.
A. –2, 3, –1
Graph the integers on the same number line.
–3 –2 –1
0
1
2
3
Then read the numbers from left to right: –2, –1, 3.
B. 4, –3, –5, 2
Graph the integers on the same number line.
–6 –5 –4 –3 –2 –1
0
1
2
3
4
5
6
Then read the numbers from left to right: –5, –3, 2, 4.
11-2 Comparing and Ordering Integers
Check It Out: Example 2
Order the integers in each set from least to
greatest.
A. –2, 2, –3
Graph the integers on the same number line.
–3 –2 –1
0
1
2
3
Then read the numbers from left to right: –3, –2, 2.
B. 6, –2, 5, –3
Graph the integers on the same number line.
–6 –5 –4 –3 –2 –1
0
1
2
3
4
5
6
Then read the numbers from left to right: –3, –2, 5, 6.
11-2 Comparing and Ordering Integers
Additional Example 3: Problem Solving Application
In a golf match, Craig scored +2,
Cameron scored +3, and Rob scored –1.
Who won the golf match?
1
Understand the Problem
The answer will be the player with the lowest
score. List the important information:
• Craig scored +2.
• Cameron scored +3.
• Rob scored –1.
11-2 Comparing and Ordering Integers
Additional Example 3 Continued
2
Make a Plan
You can draw a diagram to order the scores from
least to greatest.
3
Solve
Draw a number line and graph each player’s
score on it.
•
• •
–3 –2 –1
0
1
2
3
Rob’s score, –1, is farthest to the left, so it is the
lowest score. Rob won the golf match.
11-2 Comparing and Ordering Integers
Additional Example 3 Continued
4
Look Back
Negative integers are always less than positive
integers, so neither Craig nor Cameron won the
golf match.
11-2 Comparing and Ordering Integers
Check It Out: Example 3
In a golf match, Melissa scored +6, Trista
scored –3, and Alyssa scored –1. Who won
the golf match?
1
Understand the Problem
The answer will be the player with the lowest
score. List the important information:
• Melissa scored +6.
• Trista scored –3.
• Alyssa scored –1.
11-2 Comparing and Ordering Integers
Check It Out: Example 3 Continued
2
Make a Plan
You can draw a diagram to order the scores from
least to greatest.
3
Solve
Draw a number line and graph each player’s score
on it.
•
•
•
–6 –5 –4 –3 –2 –1
0
1
2
3
4
5
6
Trista’s score, –3, is farthest to the left, so it is
the lowest score. Trista won the golf match.
11-2 Comparing and Ordering Integers
Check It Out: Example 3 Continued
4
Look Back
Negative integers are always less than positive
integers, so Melissa cannot be the winner.
Since Trista’s score of –3 is less than Alyssa’s
score of –1, Trista won.
11-2 Comparing and Ordering Integers
Lesson Quizzes
Standard Lesson Quiz
Lesson Quiz for Student Response Systems
11-2 Comparing and Ordering Integers
Lesson Quiz
Order the integers in each set from least to
greatest.
1. –3, 7, 4 –3, 4, 7
2. –11, 2, 5, –15 –15, –11, 2, 5
Compare. Write <, >, or =.
3. –3
–4
>
4. –12
–10 <
5. A location in Carlsbad Caverns is 752 ft below
sea level, and another location is 910 ft below sea
level. Which location is closer to sea level?
the location at –752 feet
11-2 Comparing and Ordering Integers
Lesson Quiz for Student Response Systems
1. Which of the following represents the
integers in the given set ordered from least to
greatest?
–5, 9, 2
A. 2, 9, –5
B. 9, 2, –5
C. 2, –5, 9
D. –5, 2, 9
11-2 Comparing and Ordering Integers
Lesson Quiz for Student Response Systems
2. Which of the following represents the
integers in the given set ordered from least to
greatest?
–17, 10, 8, –19
A. –17, –19, 8, 10
B. –19, –17, 8, 10
C. 10, 8, –17, –19
D. 8, 10, –17, –19
11-2 Comparing and Ordering Integers
Lesson Quiz for Student Response Systems
3. Identify the correct sign to compare.
–23 __ 20
A. >
B. <
C. =
11-2 Comparing and Ordering Integers
Lesson Quiz for Student Response Systems
4. A submarine is 896 ft below sea level, and
another submarine is 925 ft below sea level. Which
submarine is closer to the surface of the sea?
A. submarine at –896 ft
B. submarine at 896 ft
C. submarine at –925 ft
D. submarine at 925 ft