11-4 adding integers problem of the day warm up warm up lesson presentation lesson presentation...
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11-4 Adding Integers
Problem of the DayProblem of the Day
Warm UpWarm Up
Lesson PresentationLesson Presentation
Problem of the DayProblem of the Day
Lesson QuizzesLesson Quizzes
11-4 Adding Integers
Warm UpAdd.
1. 2 + 3 2. 7 + 43. 8 + 5 4. 17 + 12
Name the integer that corresponds to each point.
5. A 6. B
5 11
–3
2913
5
11-4 Adding Integers
Problem of the Day
Karen earned 40 points on part I of a test, 26 points on part II, and 25 points on part III. What number of points did Karen earn on parts I and III combined?
65
11-4 Adding Integers
Preview of MA.7.A.3.1 Use and justify the rules for adding…integers.
Preview of MA.7.A.3.2 Add…integers,…including solving problems in everyday contexts.
Sunshine State Standards
11-4 Adding Integers
Move right on a number line to add a positive integer.Move left on a number line to add a negative integer.
Adding Integers on a Number Line
11-4 Adding Integers
Parentheses are used to separate addition, subtraction, multiplication, and division signs from negative integers.
–2 + (–5) = –7
Writing Math
11-4 Adding Integers
Additional Example 1: Writing Integer Addition
Write the addition modeled on each number line.
A.
B.
–1 0 1 2 3 4 5 6
5+ (–4)
The addition modeled is 5 + (–4) = 1.
–5 –4 –3 –2 –1 0 1 2 3 4
(–4)+7
The addition modeled is –4 + 7 = 3.
11-4 Adding Integers
Additional Example 1: Writing Integer Addition
Write the addition modeled on each number line.
C.
3+ (–5)
The addition modeled is 3 + (–5) = –2.
–4 –3 –2 –1 0 1 2 3 4
11-4 Adding Integers
Check It Out: Example 1
Write the addition modeled on each number line.
A.
B.
6
+ (–3)
The addition modeled is 6 + (–3) = 3.
(–2)+3
The addition modeled is –2 + 3 = 1.
–1 0 1 2 3 4 5 6
–5 –4 –3 –2 –1 0 1 2 3 4
11-4 Adding Integers
Check It Out: Example 1
Write the addition modeled on each number line.
C.
4
+ (–7)
The addition modeled is 4 + (–7) = –3.
–4 –3 –2 –1 0 1 2 3 4
11-4 Adding Integers
Additional Example 2A: Adding Integers
Find the sum.
–3 + (–2)
–6 –5 –4 –3 –2 –1 0 1
–3+ (–2)
–3 + (–2) = –5
Think:
11-4 Adding Integers
Additional Example 2B: Adding Integers
Find the sum.
6 + (–8)
6 + (–8) = –2
+(–8)
6
–3 –2 –1 0 1 2 3 4 5 6 7
Think:
11-4 Adding Integers
Check It Out: Example 2A
Find the sum.
–2 + (–4)
–6 –5 –4 –3 –2 –1 0 1
–2+ (–4)
–2 + (–4) = –6
Think:
11-4 Adding Integers
Check It Out: Example 2B
Find the sum.
3 + (–6)
3 + (–6) = –3
+ (–6)
3
–3 –2 –1 0 1 2 3 4 5 6 7
Think:
11-4 Adding Integers
Additional Example 3: Evaluating Integer Expressions
Evaluate y + (–2) for y = 7.
y + (–2) Write the expression.
7 + (–2) Substitute 7 for y.
5 Add.
11-4 Adding Integers
Check It Out: Example 3
Evaluate z + (–4) for z = 2.
z + (–4) Write the expression.
2 + (–4) Substitute 2 for z.
–2 Add.
11-4 Adding Integers
Additional Example 4: Application
A sunken ship is 12 m below the sea level. A search plane flies 35 m above the sunken ship. How far above the sea is the plane?
The ship is 12 m below the sea level and the plane is 35 m above the ship.
–12 + 35
23
The plane is 23 m above the sea.
11-4 Adding Integers
Check It Out: Example 4
A sunken treasure chest is 33 m below the sea level. A search plane flies 54 m above the sunken treasure chest. How far above the sea is the plane?
The treasure chest is 33 m below the sea level and the plane is 54 m above the treasure chest.
–33 + 54
21
The plane is 21 m above the sea.
11-4 Adding Integers
Standard Lesson Quiz
Lesson Quizzes
Lesson Quiz for Student Response Systems
11-4 Adding Integers
Lesson QuizFind each sum.
1. 7 + (–3)
2. –5 + 2
3. –8 + (–4)
4. Evaluate x + 5 for x = –4.
5. At midnight on a winter night, the temperature
was –12°F. By 10 A.M. the temperature had risen
42°F. What was the new temperature?
–3
4
–12
1
30°F
11-4 Adding Integers
1. Find the sum. 13 + (–5)
A. 8
B. –8
C. 18
D. –18
Lesson Quiz for Student Response Systems
11-4 Adding Integers
2. Find the sum. –12 + 5
A. 7
B. –7
C. 17
D. –17
Lesson Quiz for Student Response Systems
11-4 Adding Integers
3. Find the sum. –18 + (–5)
A. 13
B. –13
C. 23
D. –23
Lesson Quiz for Student Response Systems
11-4 Adding Integers
4. The basement of a building is 10 feet below the ground level. The height of the building including the basement is 69 feet. What is the height of the building from the ground level?
A. 79 ft
B. 69 ft
C. 64 ft
D. 59 ft
Lesson Quiz for Student Response Systems