# Lesson 16

World’s Record Noodle Soup

## Warm-up: Notice and Wonder: World Record Event (10 minutes)

### Narrative

### Launch

- Groups of 2
- Consider showing students a Guinness Book world record image or video of the worlds longest noodle.
- Display the image.

### Activity

- “What do you notice? What do you wonder?”
- 1 minute: quiet think time
- 1 minute: partner discussion
- Share and record responses.

### Student Facing

What do you notice? What do you wonder?

A Chinese food company holds the Guinness World Record for making the longest noodle. The noodle measured about 10,119 ft.

### Student Response

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### Activity Synthesis

- “What is something else that is about 10,000 feet long?” (That is about how high people are when they skydive. It is about 2 miles.)
- “These pictures show the world’s longest noodle being made. We are going to solve some problems about this event.”

## Activity 1: How Many Feet in One Serving? (20 minutes)

### Narrative

The purpose of this activity is for students to use a method of their choice, likely multiplication or division, to solve a contextual problem about equal sharing of the longest noodle ever made. The numbers in this activity are larger than the numbers students have worked with in previous lessons on division. Students estimate the number of feet of noodle each person ate at the record breaking event. The numbers and context were chosen to encourage students to consider what they know about the meaning of division, to make a reasonable estimate, and to reason about the meaning of the quotient in the context of the situation presented (MP2).

Monitor and select students with the following strategies to share in the synthesis:

- Students use multiplication or division to estimate that each person will get about 25 feet of noodle.
- Students can explain why 25 feet of noodle for each person is a low estimate.

### Launch

- “What kind of noodles do you like to eat?” (ramen, spaghetti, fettucini, chicken noodle soup)
- 30 seconds: partner discussion
- “About how long is one of the noodles you like to eat?” (about 1 foot long)
- Groups of 2

### Activity

- 5 minutes: independent work time
- 5 minutes: partner discussion
- As students work, consider asking “What do the numbers in your calculations mean, in terms of the situation?”

### Student Facing

A Chinese food company cooked a single noodle measuring about 10,119 ft. It served 400 people.

- If the noodle was shared equally, estimate how many feet of noodle each person was served.
- Is your estimate lower or higher than the actual length of noodle each person ate? Explain your reasoning without calculating the actual length.

### Student Response

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### Activity Synthesis

- Ask selected students to share in the given order (or use the provided student solutions if needed).
- “How are the methods for estimating the amount of noodle each person gets the same?”(They both start by giving each person 10 feet of noodle. Then they give more until they have both given 25 feet to each person. They both find multiples of 400.)
- “How are they different?” (One thinks of the process as division and one uses just multiplication.)
- “How do you know the estimate of 25 feet is too low?” (Because there was still some of the noodle left. There are 119 feet left over.)

## Activity 2: Han's Estimate (15 minutes)

### Narrative

The purpose of this activity is to consider a more precise estimate for the length of noodle each person would get if 400 people equally shared a 10,119 foot noodle. This estimate includes a fractional part and encourages students to connect division to what they know about fractions. In the next lesson students will continue to examine fractions and how they relate to partial quotients.

Making an estimate or a range of reasonable answers with incomplete information is a part of modeling with mathematics (MP4).

*MLR8 Discussion Supports.*Activity: During group work, invite students to take turns sharing their responses. Ask students to restate what they heard using precise mathematical language and their own words. Display the sentence frame: “I heard you say . . .” Original speakers can agree or clarify for their partner.

*Advances: Listening, Speaking*

*Engagement: Develop Effort and Persistence.*Check in and provide each group with feedback that encourages collaboration and community. For example, encourage students to use sentence frames to agree or disagree with each other and take turns sharing their ideas.

*Supports accessibility for: Social-Emotional Functioning.*

### Launch

- Groups of 2

### Activity

- 3–5 minutes: independent work time
- 3–5 minutes: partner discussion

### Student Facing

Han said that each person will get about \(25\frac{1}{4}\) feet of noodle. Do you agree with Han? Explain or show your reasoning.

### Student Response

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### Activity Synthesis

- Display: \(25\frac{119}{400}\)
- "What does \(25\frac{119}{400}\) mean in this situation?" (Each person gets 25 feet of the noodle and then the 119 feet leftover would be divided into 400 equal pieces.)
- Display: \(25\frac{1}{4}\)
- "Why is Han's estimate reasonable?” (Because is \(\frac{119}{400}\) really close to \(\frac{100}{400}\) and \(\frac{100}{400}=\frac{1}{4}\))
- "Do you think they actually measured and cut the noodle into equal pieces when they served it?" (No, because it would take too long and be too difficult. Yes, because if long noodles represent long life they probably want to serve the noodle soup with sections that are one piece of the original noodle.)

## Lesson Synthesis

### Lesson Synthesis

“Today, we solved problems about a real life context. We also discussed solutions that were mixed numbers. In what ways did we use division today?" (We estimated and divided the number of feet of noodle by the number of servings. We thought about fractions as division to help us make more precise estimates.)

"In what ways did we use fractions?” (We used what we know about fractions to make our estimates more precise.)

## Cool-down: Division Reflection (5 minutes)

### Cool-Down

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