##
* *Reflection: Staircase of Complexity
Estimating State Population Growth Part 1 - Section 3: Partner Practice

For this lesson, I developed a staircase of complexity by starting off with the least populated states and moving up to the highest populated states. This way students were working with the smallest state populations prior to the largest sate populations. As students worked their way through the slides, they were provided with more and more complex tasks.

In addition, to further support students who struggle with math at times, I made sure they were working alongside a strong math student. Each time these students reached out for help from their partners or from me, the complexity of the task at hand would naturally be adjusted. Solving a task with a partner or with the teacher's support is less complex than solving the task independently.

*Reflection*

*Staircase of Complexity: Reflection*

# Estimating State Population Growth Part 1

Lesson 5 of 6

## Objective: SWBAT round multi-digit whole numbers.

#### Opening

*30 min*

For this lesson, I wanted to use real-life data to provide students with a meaningful opportunity to round numbers. I knew that this would also support Math Practice 4: Model with Mathematics. Also, all of my students have recently been provided with Google email accounts so I have been experimenting with integrating Google Documents into lessons.

**World Population Growth**

Today, I began by emailing students a link to an article about the world population reaching 7 billion in October 2011. As students read the article, I asked them to share out surprising facts. After discussing the article, as well as questions and concerns, I showed students the following video:

**Current Population Count**

Then, I showed the current population count in the World and United States using this site. By this time, students were engaged and extremely interested in the concept of population growth.

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#### Teacher Demonstration

*30 min*

**Creating & Sharing a Google Presentation**

To truly take advantage of Google Documents as an instructional resource, I created a Google Presentation: Rounding State Population Growth using information from this site. Next, I shared the presentation with my students with only viewing privileges. Then, students copied the presentation and saved it in their math folders under their Google Drive. Here are specific directions, explaining How to Create a Google Presentation for Student Practice.

Once all students were successful at copying the presentation and making it their own, we all discussed the first slide together, which was the Goal of the lesson. This was also the page that students took ownership of their presentation by adding, "By: First & Last Name." This is important as student ownership always translates into higher motivation and learning.

**Connecting the World Population Growth to State Population Growth**

Next, we moved on to the next couple of slides. I began with a Broad Question, asking students: *About how many people live in each state? *Students predicted which states were the most and least populated and shared their reasoning. Then, I wanted to present students with a more Narrow Question: *About how much has each state's population grown over the past 10 years? *

**Estimating State Population Growth**

We began by discussing the Estimated Population Growth in Wyoming (the least populated state in the U.S.). I included maps of each state so that students would also become more familiar with the geographic location of states alongside of rounding numbers. To estimate the population growth in Wyoming, I showed students how to round Wyoming's population in 2000 and 2010. Then, we subtracted to find the ten-year difference. I modeled this process again with Vermont. Only this time, students completed the population estimation chart while I Modeled Calculations.

**Guided Practice**

At this point, I asked team leaders (one student per group) to pass out white boards and markers to each student. I asked students to always check their estimated population growth calculations on their white boards: Showing Calculations.

To make sure students understood the process, we discussed and calculated the population growths for North Dakota and Alaska as well. For each state, I asked students to show their thinking on their white boards. During this time, I slowly released more and more responsibility to students and continually walked about the room, checking for understanding. Almost surprisingly, students caught on right away and were ready to practice with a peer.

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#### Partner Practice

*50 min*

**Picking Partners**

Math partners are always easy to assign as I purposefully arrange student desks based on behavior, abilities, and communication skills. Also, when working with computers especially, it is always helpful if partners are sitting next to each other for quick and easy collaboration.

**Expectations**

To make sure all students were successful, I explained that I wanted to check their calculations on each slide before they moved on to the next state. I also reminded students that I was also looking for them to show their calculations on their white boards. After a while, students began Checking Calculations with a White Board and Calculator on the computer.

**Working Away!**

Students immediately got to work. Not only were they motivated by all of the conversation around population growth, but they were also motivated to estimate the population growth for as many states as possible! Here are examples of students Calculating Delaware's Population Growth and Estimating Idaho's Population Growth.

During this time, I walked around the classroom to conference with students, ask questions, and to provide support. Here's an example of Conferencing with Students and Catching Mistakes.

I loved the countless opportunities to discuss concepts outside of rounding. They were true teachable moments! Here, I discuss Negative Numbers with a student. At another point, I fell upon the opportunity to teach students the Parts of a Million so that students could say, "The population in this state grew 1/4 a million!"

Once I was able to observe my students working on this project, I could see how successful they were and how motivated they were to estimate the population growth in ALL states. When today's lesson came to an end, I knew that we just had to continue working on this lesson tomorrow!

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##### Similar Lessons

Environment: Suburban

Environment: Urban

###### Whole Number Pre Assessment

*Favorites(5)*

*Resources(13)*

Environment: Urban

- UNIT 1: Measuring Mass and Weight
- UNIT 2: Measuring Capacity
- UNIT 3: Rounding Numbers
- UNIT 4: Place Value
- UNIT 5: Adding & Subtracting Large Numbers
- UNIT 6: Factors & Multiples
- UNIT 7: Multi-Digit Division
- UNIT 8: Geometry
- UNIT 9: Decimals
- UNIT 10: Fractions
- UNIT 11: Multiplication: Single-Digit x Multi-Digit
- UNIT 12: Multiplication: Double-Digit x Double-Digit
- UNIT 13: Multiplication Kick Off
- UNIT 14: Area & Perimeter