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# Math Gr4 Ch3

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### Math Gr4 Ch3

1. 1. Chapter 3 Algebra: Use Addition and Subtraction Click the mouse or press the space bar to continue.
2. 2. Algebra: Use Addition and Subtraction 3 Lesson 3-1 Addition and Subtraction Expressions Lesson 3-2 Solve Equations Mentally Lesson 3-3 Problem-Solving Strategy: Missing and Extra Information Lesson 3-4 Algebra: Find a Rule Lesson 3-5 Problem-Solving Investigation: Choose a Strategy Lesson 3-6 Balanced Equations
3. 3. 3-1 Addition and Subtraction Expressions Five-Minute Check (over Chapter 2) Main Idea and Vocabulary California Standards Example 1 Example 2 Example 3
4. 4. 3-1 Addition and Subtraction Expressions • I will write and find the value of expressions. • expression • variable • parentheses
5. 5. 3-1 Addition and Subtraction Expressions Standard 4AF1.1 Use letters, boxes, or other symbols to stand for any number in simple expressions or equations (e.g., demonstrate an understanding and the use of the concept of a variable).
6. 6. 3-1 Addition and Subtraction Expressions Mr. and Mrs. Presley and some of their children eat apples in their lunches. Today, 3 of their children are eating apples. What is the value of 2 + n if n = 3? You need to find the value of 2 + n when n = 3. 2+n Write the expression.
7. 7. 3-1 Addition and Subtraction Expressions 2 +3 Replace n with 3. 5 Add 2 and 3.
8. 8. 3-1 Addition and Subtraction Expressions What is the value of 4 + n if n = 7? A. 7 B. 4 C. 11 D. 12
9. 9. 3-1 Addition and Subtraction Expressions Find the value of 15 + (h – 3) if h = 4. 15 + (h – 3) Write the expression. 15 + (4 – 3) Repleace h with 4. 15 + 1 Find (4 – 3) first. 16 Next, find 15 + 1.
10. 10. 3-1 Addition and Subtraction Expressions Find the value of (k + 2) – 1 if k = 6. A. 6 B. 2 C. 1 D. 7
11. 11. 3-1 Addition and Subtraction Expressions Danielle ran 6 fewer miles than Martha last week. Write an expression for the number of miles Danielle ran. Words Ran 6 fewer miles than Martha Variable Define a variable. Let m represent the miles that Martha ran. Expression m–6 Answer: So Danielle ran m – 6 miles.
12. 12. 3-1 Addition and Subtraction Expressions Sven earned \$10 more than Erin last month. Write an expression for the amount of money Sven earned. A. a – 10 B. 10 – a C. a + 10 D. a + 2b
13. 13. 3-2 Solve Equations Mentally Five-Minute Check (over Lesson 3-1) Main Idea and Vocabulary California Standards Example 1 Example 2 Example 3 Addition and Subtraction Equations
14. 14. 3-2 Solve Equations Mentally • I will solve addition and subtraction equations mentally. • equation • variable • solve
15. 15. 3-2 Solve Equations Mentally Standard 4AF1.1 Use letters, boxes, or other symbols to stand for any number in simple expressions or equations (e.g., demonstrate an understanding and the use of the concept of a variable).
16. 16. 3-2 Solve Equations Mentally Misae baby-sat for 2 hours on Friday, and by the end of the day on Saturday she had baby-sat 6 hours total. How many hour did she baby-sit on Saturday? In the previous Explore activity, you solved equations using models. Equations can also be solved mentally.
17. 17. 3-2 Solve Equations Mentally One Way: Use Models Step 1 Model the equation. 2+x=6
18. 18. 3-2 Solve Equations Mentally One Way: Use Models Step 2 Find the value of x.
19. 19. 3-2 Solve Equations Mentally Another Way: Mental Math 2+x=6 2+4=6 Answer: So, x = 4.
20. 20. 3-2 Solve Equations Mentally Adelina worked for 3 hours on Tuesday, and by the end of Wednesday she had worked a total of 8 hours. How many hours did she work on Wednesday? A. 3 B. 8 C. 5 D. 11
21. 21. 3-2 Solve Equations Mentally Solve 19 – n = 12 mentally. 19 – n = 12 19 minus what number equals 12? 19 – 7 = 12 You know that 19 – 7 = 12. n=7 Answer: So, the value of n is 7.
22. 22. 3-2 Solve Equations Mentally Solve 16 – y = 11 mentally. A. 16 B. 5 C. 11 D. 6
23. 23. 3-2 Solve Equations Mentally Big Red had 7 puppies last spring. This spring she had some more puppies and now has a total of 13 puppies. How many puppies did she have this spring? Write and solve an equation. Words 7 puppies plus some more equals 13. Variable Let p represent the additional puppies. Expression 7 + p = 13
24. 24. 3-2 Solve Equations Mentally 7 + p = 13 7 plus what number equals 13? 7 + 6 = 13 You know that 7 + 6 = 13. p=6 Answer: So, Big Red had 6 more puppies this spring.
25. 25. 3-2 Solve Equations Mentally Write and solve an equation for the following situation: 9 plus a number is 13. A. 9 + x = 13; 4 B. 9 + x = 13; 3 C. 9 – x = 13; 3 D. 9 – x – 13; 4
26. 26. 3-3 Problem-Solving Strategy: Missing and Extra Information Five-Minute Check (over Lesson 3-2) Main Idea California Standards Example 1: Problem-Solving Strategy
27. 27. 3-3 Problem-Solving Strategy: Missing and Extra Information • I will identify extra and missing information when solving problems.
28. 28. 3-3 Problem-Solving Strategy: Missing and Extra Information Standard 4MR1.1 Analyze problems by identifying relationships, distinguishing relevant from irrelevant information, sequencing and prioritizing information, and observing patterns.
29. 29. 3-3 Problem-Solving Strategy: Missing and Extra Information Standard 4AF1.1 Use letters, boxes, or other symbols to stand for any number in simple expressions or equations (e.g., demonstrate an understanding and the use of the concept of a variable).
30. 30. 3-3 Problem-Solving Strategy: Missing and Extra Information Trina is making friendship bracelets to sell for \$2 each. Last week, she sold 63 bracelets. Two weeks ago, she sold 21 bracelets. How many more bracelets did Trina sell last week than two weeks ago?
31. 31. 3-3 Problem-Solving Strategy: Missing and Extra Information Understand What facts do you know? • Trina sells friendship bracelets for \$2 each. • She sold 63 bracelets last week. • She sold 21 bracelets two weeks ago. What do you need to find? • Find how many more bracelets Trina sold last week than two weeks ago.
32. 32. 3-3 Problem-Solving Strategy: Missing and Extra Information Plan Once you identify the information needed to solve the problem you can write a number sentence. Look for any extra information.
33. 33. 3-3 Problem-Solving Strategy: Missing and Extra Information Solve Subtract 21 from 63. You do not need to know how much the bracelets cost. This is extra information. last week two weeks ago 63 – 21 = n 63 – 21 = 42 Answer: So, Trina sold 42 more bracelets last week than the week before.
34. 34. 3-3 Problem-Solving Strategy: Missing and Extra Information Check Look back at the problem. You can check subtraction with addition. 21 + 42 = 63. So, you know the answer is correct.
35. 35. 3-4 Algebra: Find a Rule Five-Minute Check (over Lesson 3-3) Main Idea California Standards Example 1
36. 36. 3-4 Algebra: Find a Rule • I will find a rule and use the rule to write an equation.
37. 37. 3-4 Algebra: Find a Rule Standard 4AF1.5 Understand that an equation such as y = 3x + 5 is a prescription for determining a second number when a first number is given.
38. 38. 3-4 Algebra: Find a Rule Write an equation that describes the pattern in the table. Pattern: 1 + 4 = 5 3+4=7 Rule: Add 4. Equation: x + 4 = y
39. 39. 3-4 Algebra: Find a Rule Write an equation that describes the pattern in the table. A. x+1=y B. x+9=y C. x + 10 = y D. x+8=y
40. 40. 3-4 Algebra: Find a Rule Use the equation to find the next three numbers. 9 11 13 Find the next three numbers when the input (x) is 5, 7, and 9. x+4=y x+4=y x+4=y 5+4=9 7 + 4 = 11 9 + 4 = 13 Answer: So, the next three numbers in the pattern are 9, 11, and 13.
41. 41. 3-4 Algebra: Find a Rule Use the equation, x + 5 = y, to find the last 2 numbers. A. 10, 13 B. 15, 18 C. 17, 22 D. 9, 12
42. 42. 3-4 Algebra: Find a Rule The uniform store is offering a \$5 discount for any purchase of \$20 or more. Use a rule to write an equation to describe the pattern. Then use the equation to find the next three prices.
43. 43. 3-4 Algebra: Find a Rule Identify the rule and write it as an equation. Rule: Subtract 5. Equation: x – \$5 = y
44. 44. 3-4 Algebra: Find a Rule Find the next three numbers when the input (x) is 22, 23, and 24. 17 18 19 x–5=y x–5=y x–5=y 22 – 5 = 17 23 – 5 = 18 24 – 5 = 19 Answer: So, the next three amounts are \$17, \$18, and \$19.
45. 45. 3-4 Algebra: Find a Rule A shoe store is offering a discount of \$7 for any purchase of \$15 or more. Use a rule to write an equation to describe the pattern. Then use the equation to find the next 2 prices. A. x + y = 7; 11, 12 B. x + 7 = y; 18, 19 C. x + y = 8; 8, 9 D. x + 7 = y; 11, 12
46. 46. 3-5 Problem-Solving Investigation: Choose a Strategy Five-Minute Check (over Lesson 3-4) Main Idea California Standards Example 1: Problem-Solving Investigation
47. 47. 3-5 Problem-Solving Investigation: Choose a Strategy • I will choose the best strategy to solve a problem.
48. 48. 3-5 Problem-Solving Investigation: Choose a Strategy Standard 4MR2.3 Use a variety of methods, such as words, numbers, symbols, charts, graphs, tabl es, diagrams, and models, to explain mathematical reasoning.
49. 49. 3-5 Problem-Solving Investigation: Choose a Strategy Standard 4NS3.0 Students solve problems involving addition, subtraction, multiplication, and division of whole numbers and understand the relationships among the operations.
50. 50. 3-5 Problem-Solving Investigation: Choose a Strategy KAMILAH: My soccer team is raising money by having a car wash. We earn \$36 each hour of washing cars. YOUR MISSION: Find how much money Kamilah’s soccer team will make in 5 hours.
51. 51. 3-5 Problem-Solving Investigation: Choose a Strategy Understand What facts do you know? • The soccer team earns \$36 each hour. What do you need to find? • You need to find how much money the team will make in 5 hours.
52. 52. 3-5 Problem-Solving Investigation: Choose a Strategy Plan You can make a table that shows how much the team will earn in 1, 2, 3, 4, and 5 hours.
53. 53. 3-5 Problem-Solving Investigation: Choose a Strategy Solve The table shows how much money the team earns in 1, 2, 3, 4, and 5 hours. Answer: So, Kamilah’s soccer team will make \$180.
54. 54. 3-5 Problem-Solving Investigation: Choose a Strategy Check Look back at the problem. Start with \$180. Subtract \$36 5 times. \$180 – \$36 = \$144 \$144 – \$36 = \$108 \$108 – \$36 = \$72 \$72 – \$36 = \$36 \$36 – \$36 = \$0 So, you know that the answer is correct.
55. 55. 3-6 Balanced Equations Five-Minute Check (over Lesson 3-5) Main Idea and Vocabulary California Standards Example 1 Example 2 Example 3
56. 56. 3-6 Balanced Equations • I will balance addition and subtraction equations. • balance
57. 57. 3-6 Balanced Equations Standard 4FS2.1 Know and understand that equals added to equals are equal.
58. 58. 3-6 Balanced Equations Show that the equality of 7 + 9 = 16 does not change when 3 is added to each side of the equation. 7 + 9 = 16 Write the equation. 7 + 9 + 3 = 16 + 3 Add 3 to each side. 19 = 19 19 = 19 So, when you add 3 to each side, the equality does not change.
59. 59. 3-6 Balanced Equations Show that they equality 1 + 2 = 3 does not change when 6 is added to each side of the equation. A. 1 + 2 + 6 = 3 + 6; 9 = 9 B. 1+2+3=3+6=6=9 C. 1 + 2 = 3 + 6; 3 = 9 D. 1 + 2 + 6 = 3 + 6; 6 = 6
60. 60. 3-6 Balanced Equations Show that the equality of 12 + 5 = 17 does not change when 6 is subtracted from each side of the equation. 12 + 5 = 17 Write the equation. 12 + 5 – 6 = 17 – 6 Subtract 6 from each side. 11 = 11 11 = 11 So, when you subtract 6 from each side, the equality does not change.
61. 61. 3-6 Balanced Equations Show that the equality of 10 + 9 = 19 does not change when 4 is subtracted from each side of the equation. A. 10 + 9 = 19 – 4; 19 = 15 B. 10 + 9 = 19; 15 = 15 C. 10 + 9 – 4 = 19 – 4; 15 = 15 D. 10 + 9 – 4 = 19 – 4; 15 = 19
62. 62. 3-6 Balanced Equations Find the missing number in 27 – 11 = 9 + 3 + ___ . 27 – 11 = 9 + 3 + Write the equation. 27 – 11 = 9 + 3 + You know that 27– 11 = 16. To keep the equation balanced, a number must be added to 9 + 3 that will give the result of 16. 9 + 3 + 4 = 16. Answer: So, the missing number is 4.
63. 63. 3-6 Balanced Equations Find the missing number in 24 + 2 = 12 + 12 + ___. A. 12 B. 2 C. 24 D. 10
64. 64. Algebra: Use Addition and Subtraction 3 Five-Minute Checks Addition and Subtraction Equations
65. 65. Algebra: Use Addition and Subtraction 3 Lesson 3-1 (over Chapter 2) Lesson 3-2 (over Lesson 3-1) Lesson 3-3 (over Lesson 3-2) Lesson 3-4 (over Lesson 3-3) Lesson 3-5 (over Lesson 3-4) Lesson 3-6 (over Lesson 3-5)
66. 66. Algebra: Use Addition and Subtraction 3 (over Chapter 2) Find each difference. 200 – 189 A. 10 B. 121 C. 11 D. 21
67. 67. Algebra: Use Addition and Subtraction 3 (over Chapter 2) Find each difference. \$3.00 – \$1.67 A. \$2.43 B. \$1.33 C. \$4.67 D. \$1.43
68. 68. Algebra: Use Addition and Subtraction 3 (over Chapter 2) Find each difference. 5,500 – 1,254 A. 4,356 B. 6,754 C. 3,256 D. 4,246
69. 69. Algebra: Use Addition and Subtraction 3 (over Chapter 2) Find each difference. 6,000 – 5,454 A. 546 B. 1,546 C. 456 D. 1,656
70. 70. Algebra: Use Addition and Subtraction 3 (over Chapter 2) Find each difference. \$70.00 – \$22.17 A. \$57.83 B. \$58.93 C. \$47.83 D. \$37.83
71. 71. Algebra: Use Addition and Subtraction 3 (over Lesson 3-1) Find the value of each expression if x = 3 and a = 4. (9 – a) + 7 A. 13 B. 12 C. 6 D. 11
72. 72. Algebra: Use Addition and Subtraction 3 (over Lesson 3-1) Find the value of each expression if x = 3 and a = 4. x + (3 – 2) A. 4 B. 5 C. 9 D. 8
73. 73. Algebra: Use Addition and Subtraction 3 (over Lesson 3-1) Find the value of each expression if x = 3 and a = 4. 8 + (15 – x) A. 19 B. 18 C. 11 D. 20
74. 74. Algebra: Use Addition and Subtraction 3 (over Lesson 3-1) Find the value of each expression if x = 3 and a = 4. 4 + (a + 5) A. 12 B. 13 C. 5 D. 4
75. 75. Algebra: Use Addition and Subtraction 3 (over Lesson 3-1) Find the value of each expression if x = 3 and a = 4. (a + 4) – 3 A. 4 B. 11 C. 5 D. 6
76. 76. Algebra: Use Addition and Subtraction 3 (over Lesson 3-2) Solve each equation mentally. 6 + n = 13 A. n = 8 B. n = 6 C. n = 7 D. n = 5
77. 77. Algebra: Use Addition and Subtraction 3 (over Lesson 3-2) Solve each equation mentally. k–2=7 A. k = 9 B. k = 8 C. k = 10 D. k = 5
78. 78. Algebra: Use Addition and Subtraction 3 (over Lesson 3-2) Solve each equation mentally. 8–g=3 A. g = 3 B. g = 5 C. g = 6 D. g = 4
79. 79. Algebra: Use Addition and Subtraction 3 (over Lesson 3-2) Solve each equation mentally. x + 4 = 15 A. x = 10 B. x = 9 C. x = 12 D. x = 11
80. 80. Algebra: Use Addition and Subtraction 3 (over Lesson 3-3) Identify any missing or extra information. Then solve if possible. An express train leaves Grand Terminal at 5:05 P.M. The train arrives at the first stop at 5:21 P.M., the second stop at 5:46 P.M., and the last stop at 6:04 P.M. How long is the train ride? A. missing information: what time the train arrives at the last stop; can not solve the problem B. extra information: the times of the first and second stops; 59 minutes
81. 81. Algebra: Use Addition and Subtraction 3 (over Lesson 3-3) Identify any missing or extra information. Then solve if possible. An express train leaves Grand Terminal at 5:05 P.M. The train arrives at the first stop at 5:21 P.M., the second stop at 5:46 P.M., and the last stop at 6:04 P.M. How long is the train ride? C. extra information: the time of the first stop: 41 minutes D. extra information: the times of the first and second stop; 1 hour
82. 82. Algebra: Use Addition and Subtraction 3 (over Lesson 3-3) Identify any missing or extra information. Then solve if possible. An express train leaves Grand Terminal at 5:05 P.M. The train arrives at the first stop at 5:21 P.M., the second stop at 5:46 P.M., and the last stop at 6:04 P.M. How long is the train ride? B. extra information: the times of the first and second stops; 59 minutes
83. 83. Algebra: Use Addition and Subtraction 3 (over Lesson 3-4) Use a rule to write an equation to describe the pattern. Then use the equation to find the next three numbers in the pattern. A. x + 3 = y; 11, 14, 17 B. 3x = y; 24, 33, 42 C. x + 4 = y; 12, 15, 18 D. 5 + x = y; 13, 16, 19
84. 84. Algebra: Use Addition and Subtraction 3 (over Lesson 3-5) Identify any missing or extra information. Use the Four-Step Plan in this problem; solve if possible. Viviana is taking a late train from home to visit her cousins. The train leaves Savannah at 11 A.M. and arrives in Charleston at 1:30 P.M. on July 13. How long is Viviana’s trip? A. 2 hours and 30 minutes; extra information: July 13, visiting her cousins, late train B. 10 hours and 10 minutes; no extra information
85. 85. Algebra: Use Addition and Subtraction 3 (over Lesson 3-5) Identify any missing or extra information. Use the Four-Step Plan in this problem; solve if possible. Viviana is taking a late train from home to visit her cousins. The train leaves Savannah at 11 A.M. and arrives in Charleston at 1:30 P.M. on July 13. How long is Viviana’s trip? C. 1 hour and 30 minutes; extra information: July 13, visiting her cousins, late train D. 2 hours and 30 minutes; missing information: why she is visiting her cousins
86. 86. Algebra: Use Addition and Subtraction 3 (over Lesson 3-5) Identify any missing or extra information. Use the Four-Step Plan in this problem; solve if possible. Viviana is taking a late train from home to visit her cousins. The train leaves Savannah at 11 A.M. and arrives in Charleston at 1:30 P.M. on July 13. How long is Viviana’s trip? A. 2 hours and 30 minutes; extra information: July 13, visiting her cousins, late train
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