Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Quizzes 1
Name the integer that corresponds to each point. Warm Up Add. 1. 2 + 3 2. 7 + 4 3. 8 + 5 4. 17 + 12 Name the integer that corresponds to each point. 5. A 6. B 5 11 13 29 –3 5 2
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 3
Sunshine State Standards 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.
Adding Integers on a Number Line 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 5
Parentheses are used to separate addition, subtraction, multiplication, and division signs from negative integers. –2 + (–5) = –7 Writing Math 6
Additional Example 1: Writing Integer Addition Write the addition modeled on each number line. A. B. + (–4) 5 –1 0 1 2 3 4 5 6 The addition modeled is 5 + (–4) = 1. +7 (–4) –5 –4 –3 –2 –1 0 1 2 3 4 The addition modeled is –4 + 7 = 3. 7
Additional Example 1: Writing Integer Addition Write the addition modeled on each number line. C. + (–5) 3 –4 –3 –2 –1 0 1 2 3 4 The addition modeled is 3 + (–5) = –2. 8
Write the addition modeled on each number line. A. Check It Out: Example 1 Write the addition modeled on each number line. A. B. + (–3) 6 –1 0 1 2 3 4 5 6 The addition modeled is 6 + (–3) = 3. +3 (–2) –5 –4 –3 –2 –1 0 1 2 3 4 The addition modeled is –2 + 3 = 1. 9
Write the addition modeled on each number line. Check It Out: Example 1 Write the addition modeled on each number line. C. + (–7) 4 –4 –3 –2 –1 0 1 2 3 4 The addition modeled is 4 + (–7) = –3. 10
Additional Example 2A: Adding Integers Find the sum. –3 + (–2) Think: + (–2) –3 –6 –5 –4 –3 –2 –1 0 1 –3 + (–2) = –5 11
Additional Example 2B: Adding Integers Find the sum. 6 + (–8) Think: +(–8) 6 –3 –2 –1 0 1 2 3 4 5 6 7 6 + (–8) = –2 12
Check It Out: Example 2A Find the sum. –2 + (–4) Think: –2 + (–4) –6 –5 –4 –3 –2 –1 0 1 –2 + (–4) = –6 13
Check It Out: Example 2B Find the sum. 3 + (–6) Think: + (–6) 3 –3 –2 –1 0 1 2 3 4 5 6 7 3 + (–6) = –3 14
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. 15
Check It Out: Example 3 Evaluate z + (–4) for z = 2. z + (–4) Write the expression. 2 + (–4) Substitute 2 for z. –2 Add. 16
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. 17
The plane is 21 m above the sea. 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. 18
Lesson Quiz for Student Response Systems Lesson Quizzes Standard Lesson Quiz Lesson Quiz for Student Response Systems 19
Lesson Quiz Find each sum. 1. 7 + (–3) 2. –5 + 2 4 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? 4 –3 –12 1 30°F 20
Lesson Quiz for Student Response Systems 1. Find the sum. 13 + (–5) A. 8 B. –8 C. 18 D. –18 21
Lesson Quiz for Student Response Systems 2. Find the sum. –12 + 5 A. 7 B. –7 C. 17 D. –17 22
Lesson Quiz for Student Response Systems 3. Find the sum. –18 + (–5) A. 13 B. –13 C. 23 D. –23 23
Lesson Quiz for Student Response Systems 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 24