Mrs. Lefeld's Leaping Learners



Open House Celebration

It is the beginning of the year at Henson Elementary School and students, teachers and parents are planning an Open House Celebration. At Henson Elementary, there are six classes in each grade level and every class has 27 students. How many students are there at Henson Elementary?

Open House Celebration Stations

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|The celebration will be held in the school cafeteria. The cafeteria is 86 |In order for guests to sit and eat, tables will be set up around the room. |

|feet long and 24 feet wide. A stage that is 200 square feet wide will be |Each table seats 26 people. The tables will be arranged in rows of 9 and |

|placed in the center of the room. How much space is left to set up tables? |there are 5 rows in all. How many seats will there be? |

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|3. |4. |

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|Parent volunteers bake cookies for the celebration. They plan to give two |During the first week of school, the school news crew plans to interview all|

|to each student. If they baked 173 dozen cookies, do they have enough? If |5th grade students about the celebration. Each interview will last 3 |

|so, how many are left for the volunteers? If not, how many more do they |minutes. How long should they plan to spend on interviews that week? |

|need? |(Challenge: Give your answer in hours and minutes.) |

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|5. |6. |

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|Eleven teachers worked together to create a banner. Each teacher decorated |The PTA hired a DJ for entertainment. The DJ charges $467 an hour for every|

|a section with an area of 288 sq cm. What is the total area of the banner? |hour he is at the school. If he arrives at 8am and leaves at 5pm, how much |

| |does the PTA owe him? |

Open House Celebration Stations – Recording Sheet

Directions: Work with your partner to solve each problem. Estimate the answer first and then find the exact answer. Show your work in the appropriate box.

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Open House Celebration Stations – Answer Key

|1. |2. |

|The celebration will be held in the school cafeteria. The cafeteria is 86 |In order for guests to sit and eat, tables will be set up around the room. |

|feet long and 24 feet wide. A stage that is 200 square feet wide will be |Each table seats 26 people. The tables will be arranged in rows of 9 and |

|placed in the center of the room. How much space is left to set up tables? |there are 5 rows in all. How many seats will there be? |

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|Estimate: 90 x 25 = 2,250; 2,250 – 200 = 2,050 |Estimate: 10 x 5 = 50 tables; 50 x 30 = 1,500 seats |

|Exact: 86 x 24 = 2064; 2064 – 200 = 1,864 square feet of space for tables |Exact: 9 x 5 = 45 tables; 45 x 26 = 1,170 seats |

|3. |4. |

|Parent volunteers bake cookies for the celebration. They plan to give two |During the first week of school, the school news crew plans to interview all|

|to each student. If they baked 173 dozen cookies, do they have enough? If |5th grade students about the celebration. Each interview will last 3 |

|so, how many are left for the volunteers? If not, how many more do they |minutes. How long should they plan to spend on interviews that week? |

|need? |(Challenge: Give your answer in hours and minutes.) |

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|Estimate: 200 x 12 = 2,400 cookies; |Estimate: 6 x 30 = 180 5th grade students; |

|1,000 x 2 = 2,000 students; |200 x 3 = 600 minutes |

|2,400 – 2,000 = 400 cookies left over |600 minutes = 10 hours |

|Exact: 173 x 12 = 2,076 cookies; |Exact: 6 x 27 = 162 5th grade students; |

|972 x 2 = 1,944 students; |162 x 3 = 486 minutes |

|2,076 – 1,944 = 132 cookies left for the volunteers |486 minutes = 8 hours and 6 minutes |

|5. |6. |

|Eleven teachers worked together to create a banner. Each teacher decorated |The PTA hired a DJ for entertainment. The DJ charges $467 an hour for every|

|a section with an area of 288 sq cm. What is the total area of the banner? |hour he is at the school. If he arrives at 8am and leaves at 5pm, how much |

| |does the PTA owe him? |

|Estimate: 300 x 11 = 3,300 sq cm | |

|Exact: 288 x 11 = 3,168 sq cm |Estimate: $ 500 x 9 = $ 4, 500 |

| |Exact: 8am to 5pm is 9 hours |

| |$ 467 x 9 = $ 4,203 |

Name: _____________________________

Date: ______________________________

Multi-Digit Multiplication Practice

Directions: For each question, estimate the product and find an exact answer. Explain how the estimate helped you. Show all of your work.

1. Kabir’s backyard garden is 37 feet by 46 feet. What is the area of his garden?

2. Beth and Sahil finished working on a giant jigsaw puzzle. They saw that the pieces fit into rows of 45 pieces and there were 29 rows in all. How many pieces did the puzzle have?

3. A long narrow field has 53 rows of corn. Each row has 476 corn plants in it. How many corn plants are in this field altogether?

4. The Jones family peach orchard has 263 rows of trees with 92 trees in each row. How many trees were in the orchard?

Multi-Digit Multiplication Practice – Answer Key

Directions: For each question, estimate the product and find an exact answer. Explain how the estimate helped you. Show all of your work.

1. Kabir’s backyard garden is 37 feet by 46 feet. What is the area of his garden?

Estimate: 40 × 50 = 2,000 sq. ft.

Exact: 37 × 46 = 1,702 sq. ft.

My estimate showed me that my answer should be close to 2,000 so when I got 1,702, I knew it was reasonable. The actual answer is a little lower than my estimate because to estimate, I rounded each dimension up.

2. Beth and Sahil finished working on a giant jigsaw puzzle. They saw that the pieces fit into rows of 45 pieces and there were 29 rows in all. How many pieces did the puzzle have?

Estimate: 50 × 30 = 1,500 pieces

Exact: 45 × 29 = 1,305 pieces.

My estimate showed me that my answer should be close to 1,500 so when I got 1,305, I knew it was reasonable. The actual answer is a little lower than my estimate because to estimate I rounded both numbers up.

3. A long narrow field has 53 rows of corn. Each row has 476 corn plants in it. How many corn plants are in this field altogether?

Estimate: 50 × 500 = 25,000 corn plants

Exact: 53 × 476 = 25,228 corn plants

My estimate showed me that my answer should be close to 25,000 so when I got 25,228, I knew it was reasonable. The actual answer is a little more because I rounded 53 down to 50 to estimate.

4. The Jones family peach orchard has 263 rows of trees with 92 trees in each row. How many trees were in the orchard?

Estimate: 300 × 90 = 27,000 trees

Exact: 263 x 92 = 24,196 trees

My estimate showed me that my answer should be close to 27,000 so when I got 24,196, I knew it was reasonable. The actual answer is a little less than my estimate because to estimate, 263 was rounded up quite a bit and 90 was rounded down just a little.

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Mathematics Alignment Lesson

Grade 5 Quarter 1 Day 6

Common Core State Standard(s)

|5.NBT.5 Fluently multiply multi-digit |

|whole numbers using the standard |

|algorithm. |

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Alignment Lesson

Open House Celebration

NOTE: To maximize instructional time, pre-cut the Cardstock, “Open House Celebration Stations” and have them set up around the room.

1. Select a few student leaders to share their responses to homework from Day 4 (“Connect Multiplication Strategies Journal Prompt”).

2. Display transparency “Open House Celebration” and discuss the word problem presented. First, discuss a reasonable estimate and record it on the transparency. Then discuss how to find the exact answer and record it on the transparency. Use the estimate to make sure the exact answer you found is reasonable. (Reasonable estimate: 40 x 30 = 1,200 students; exact answer: 36 x 27 = 972 students)

3. Explain to students that they will now rotate through stations with a partner to solve other word problems related to the celebration. Read over the directions on the recording sheet and make sure students are clear on the expectations. Emphasize that they will estimate the product and find the actual answer.

4. Allow students to work in pairs at the stations, allowing about 4 minutes at each station.

5. Call the class back together and select student leaders to share their work for each question. Through the use of math talk be sure to discuss the following for each question while student leaders share:

• how the estimate was made

• how the estimate helped make sure the exact answer was reasonable

• how the exact answer was found.

• alternative strategies used by other students

6. If time remains, have students work in small groups to create more multiplication word problems that would be relevant to the scenario presented. Allow groups to switch and solve.

7. Assign Blackline Master, “Multi-digit Multiplication Practice” for homework.

Note:

Standards for Mathematical Practice

|Standard 1 – Make sense of problems and |

|persevere in solving them. |

|Standard 6 – Attend to precision. |

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Materials Needed:

• Blackline Masters-, “Open House

Celebration Stations – Recording

Sheet”, Multi-digit

Multiplication Practice”

• Transparencies/Blackline Masters-

“Open House Celebration”

• Cardstock- “Open House Celebration Stations” (4 copies)

Assessment

Ask students: “How does the estimate you made help you better understand your exact answer?”

WCPSS/PROJECT ACHIEVE/C&I/2001

LEARNING STRATEGIES:

Homework

Blackline Master, “Multi-digit Multiplication Practice”

Source: Teacher Created; Partners Grant

Vocabulary

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