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Questions and Answers
How many total seats are in both Room A and Room B combined?
How many total seats are in both Room A and Room B combined?
What is the width of Ariella's rug if the length is 12 feet and the width is 3 feet less than the length?
What is the width of Ariella's rug if the length is 12 feet and the width is 3 feet less than the length?
What is the area of Ariella's rug in square feet?
What is the area of Ariella's rug in square feet?
Which expression can be used to find the next number in the sequence 32, 320, 3,200?
Which expression can be used to find the next number in the sequence 32, 320, 3,200?
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What is the perimeter of Ariella's rug?
What is the perimeter of Ariella's rug?
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What is the perimeter of Mr. Petersen's original garden?
What is the perimeter of Mr. Petersen's original garden?
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If Mr. Petersen triples the length of his garden and doubles its width, what would be the area of the new garden?
If Mr. Petersen triples the length of his garden and doubles its width, what would be the area of the new garden?
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What is the total number of crayons that both the high school and elementary school art teachers have combined?
What is the total number of crayons that both the high school and elementary school art teachers have combined?
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How many baseball cards does Luke have if he initially had twice as many as Grant and then bought 12 more?
How many baseball cards does Luke have if he initially had twice as many as Grant and then bought 12 more?
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What would the perimeter be if Mr. Petersen's garden were to be remodeled to a length that is 3 times its original length and width doubled?
What would the perimeter be if Mr. Petersen's garden were to be remodeled to a length that is 3 times its original length and width doubled?
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What is the area of Mr. Petersen's garden after he modifies its dimensions?
What is the area of Mr. Petersen's garden after he modifies its dimensions?
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Which diagram would accurately represent the total number of baseball cards that Luke has?
Which diagram would accurately represent the total number of baseball cards that Luke has?
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How many additional crayons does the elementary school art teacher have compared to the high school art teacher?
How many additional crayons does the elementary school art teacher have compared to the high school art teacher?
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What does Charley's model visually represent in terms of mathematics?
What does Charley's model visually represent in terms of mathematics?
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What is the result of the expression $30 \times 60$?
What is the result of the expression $30 \times 60$?
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How can you find the product of $3 \times 269$?
How can you find the product of $3 \times 269$?
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If 68 students are attending a field trip and each costs $3, what is the total cost?
If 68 students are attending a field trip and each costs $3, what is the total cost?
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What is the area of Mr. Petersen's garden if the length is 10 meters and the area is given as 40 square meters?
What is the area of Mr. Petersen's garden if the length is 10 meters and the area is given as 40 square meters?
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What is the formula for calculating the area of a rectangular garden?
What is the formula for calculating the area of a rectangular garden?
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Which multiplication strategy could be used to simplify calculating $3 \times 269$?
Which multiplication strategy could be used to simplify calculating $3 \times 269$?
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What would be an incorrect way to calculate the total cost for a field trip?
What would be an incorrect way to calculate the total cost for a field trip?
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Study Notes
Multiplication Strategies
- Charley's model represents 17 x 17 = 289
- 30 x 60 = 1800
- 3 x 269 = 807
Area and Perimeter
- A school's 4th grade is going on a field trip with 68 students
- Each student will pay $3 to attend, for a total cost of 68 x 3 = $204
- Mr. Petersen's garden has a length of 10 meters and an area of 40 square meters.
- The perimeter of Mr. Petersen's garden is 28 meters.
- This year, Mr. Petersen wants to make his garden 3 times as long and 2 times as wide
- The new garden will have an area of 240 square meters and a perimeter of 64 meters
Word Problems
- The high school art teacher has 9 boxes of crayons with 52 crayons in each box, for a total of 9 x 52 = 468 crayons
- The elementary school art teacher has 6 boxes of crayons with 104 crayons in each box, for a total of 6 x 104 = 624 crayons
- Both teachers have a total of 468 + 624 = 1092 crayons
- Grant had 35 baseball cards, Luke had twice as many, so Luke had 35 x 2 = 70 cards
- Luke then bought 12 more cards for a total of 70 + 12 = 82 cards
- A movie theater has two rooms, Room A with 9 rows of seats with 18 seats in each row, for a total of 9 x 18 = 162 seats
- Room B has three times as many seats as Room A, so it has 162 x 3 = 486 seats
- The total number of seats in the movie theater is 162 + 486 = 648 seats
- Ariella purchased a rectangular rug with a length of 12 feet and a width that is 3 feet less than the length, for a width of 12 - 3 = 9 feet
- The area of the rug is 12 x 9 = 108 square feet
- The perimeter of the rug is 2(12 + 9) = 42 feet
Patterns
- The numbers 32, 320, and 3,200 follow a pattern of multiplying the previous number by 10
- The next number in the pattern is 3,200 x 10 = 32,000
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Description
Test your understanding of multiplication strategies and geometry concepts, focusing on area and perimeter calculations. This quiz includes practical word problems that require applying these mathematical principles. Perfect for reinforcing key math skills for students.
