Big Numbers, Small Numbers

CONTENTS OF CURRICULUM UNIT 18.04.06

  1. Unit Guide
  1. Introduction
  2. Demographics
  3. Content Objective
  4. Unit Content
  5. Teaching Strategies
  6. Classroom Activities
  7. Resources
  8. Notes
  9. Appendix

What Makes a Superhero Super? Putting Scientific Notation in Context

Charlotte Perry

Published September 2018

Tools for this Unit:

Classroom Activities

Human Number Line: Comparing Decimals and Numbers in Scientific Notation Activity

My students enjoy the human number line outdoor activity. To prepare, I make two identical sets of numbers on large index cards ranging from 0 to 10, 0 to 100, or 0 to 1000 including decimals and numbers written in scientific notation. I place two ropes on the ground that are 25 to 50 feet in length and a few feet apart parallel to each other. I use tape to make a starting line on the ground several feet away form the number line. Students are divided into teams of 10 each holding a set of numbered cards and team members line up behind the starting line. I blow a whistle and students race to stand on the line holding the numbered card in the appropriate position. When the first team positions all cards correctly, I blow the whistle to end that round. Finally, in order for the team to win, each student on the team must say the number correctly on the card they are holding. For example, “fifty-six and nine tenths” (56.9) or “4 times ten to the fourth power” (4 × 104). I change the set of cards, rearrange teams and start another round.

Superhero Cross-Curricular Classroom Activity

My goal for this culminating activity is to help my students put numbers written in scientific notation into context, and to improve their writing skills. In teams of four, students will design a comic book about a superhero they create that has special powers and abilities. Students will be graded on their narrative essay, oral presentation, and comic book. I provide a rubric (see in Materials section below) to help guide students through each of the three components and as a form of assessment.

Part 1: Research

In teams of four, students will use the internet to collect data to use as benchmarks to make comparisons between humans, animals, and the superhero. My students will research multiple human and animal capacities including weight, speed, strength, reach, jumping distance, etc. by responding to (and are not limited to) prompts such as the ones below:

Benchmark Data Prompts

I use the following benchmark data prompts only as a starting point for discussion and data collection. I inform my students of the many capacities that a superhero might have that are not so obvious. I anticipate that each prompt will invite more whole-class conversations and brainstorming ideas. I post one prompt at a time in order to have the whole class working together. I provide students with a chart to record their responses and data. Because of the engaging discussions that come from the research, responding to the prompts can take several days.

Prompt Examples

What is the speed of the fastest person in the world? This information can be used to design a superhero with super speed.

How much weight can the strongest person bench-press? What is a benchmark for a human’s grip strength? This information could be use when designing a superhero like Spiderman because he swings around on cables and hangs from windowsills.

What is the average age of a person? This information could be used when a superhero travels light years to reach earth.

What non-human creature can lift the most weight in pounds? Possible class discussions can include but are not limited to the kind of weight, kind of lift, and height of lift. How much weight can it lift? How does it lift things?

More example benchmark data prompts:

What is the maximum height a human can jump?

How long can a human hold their breath?

What is the highest and lowest temperature a human can tolerate wearing normal clothing?

Who is a great humanitarian and what kind acts did they perform?

What is the fastest non-human creature on land, in the sea and in the sky? What size is it? How does it move? How much does it weigh?

What creature can see the farthest or clearest? What is its vision…how is it measured?

Once the data has been recorded, I proceed to part 2. Students are encouraged to generate additional prompts.

Example of a data chart:

When students fill in the charts they will record their data in standard form and in scientific notation, ideally, finding scientific notation to be more efficient. The project will allow students to see actual differences in the way we represent certain values.

Chart 1: Average Human Male and Female Chart Example (Search the internet to fill in chart.):

Name

Average Body Weight

Weight Can Lift

(deadweight)

Average Running Speed

Human Male4

1.9 × 102

Pounds

Human Female4

1.7 × 102 pounds

Charts 2: Average Animal Weight and Strength Chart Example:

Name

Average Body Weight

Weight Can Lift

Average Speed

Gorilla3

4 × 102 pound

Elephant

Cheetah

Panther

Part 2: Reponses

Students will use the information they gather to respond to prompts. Here is an example of the response discussion process:

Teacher: Let’s answer the first question together: How long will it take someone to run from our school to San Francisco? What information do we need to know to answer this question?

Possible student responses: We need to know the distance from our school to a landmark in San Francisco. We need to know how long it takes the person to run a certain distance. We need to know if the person will be stopping to rest.

Once the class has generated a list, they will research the information with their team. They must record all responses on the chart.

Examples of Prompts for Part 2:

How many puppies can the world’s strongest person lift?

How far could a person swim in a straight line while holding their breath?

How long could a person skateboard wearing shorts in Alaska in the wintertime?

What is the maximum distance that an eagle can fly without stopping? How long would it take an eagle to fly from California to New York, considering stopping time if necessary (please provide an explanation on stopping time)?

Who can travel farther in a day, a man walking, or a horse and rider? How far?

How many baby penguins can an elephant lift?

Part 3: Creating the Superhero

The guiding questions for the superhero activity will be the following:

How can an imaginary superheroes' strength and abilities be described and compared to a regular human's?

What makes your superhero super?

Here is how I will get my students started.

Steps:

  1. Watch a movie that contains a superhero.
  2. Make a list of your favorite superheroes and explain why you like them.
  3. Discuss what makes your favorite superhero super. (Are they strong; can they see through steel; do they perform humanitarian acts?)
  4. Have a Think-Ink-Pair-share about a superhero you would create: origin, personality, super powers, code name, what they stand for, their regular human form (Clark Kent is really Superman), their nemesis, etc.
  5. Students will use the data from the response prompts to inform their superhero creation. Parts 1 and 2 will give students perspective on what is considered as normal weight, speed, and strength in humans and animals. Using the data chart, students will gradually put together their superhero’s physical, mental, emotional, and personality traits. For example, I found that an average man runs 100 meters at a speed of 9 miles per hour. Therefore, I want my superhero to run fifty times that speed. Student will extend their charts to fit the requirements of their superhero. Students will refer to a rubric like the one below as a guide for the superhero project. The rubric will list specific information about criteria, expectations, and scoring. The rubric will be used to help students synthesize their final project and as a form of teacher assessment. Each of the four teammates will develop one or more characteristics before contributing to the team within a timeframe. Teams will combine the attributes from each member to design their unique superhero. As a starting point or to give my students more ideas to brainstorm, I will provide discussion prompts. For example, I will say, “It would be interesting to know how much strength it would take your superhero to rip a tree out of the ground.” We would then discuss different kinds of trees in our state, and then compare the masses and root strengths of a small fruit tree with a mature oak, and again with a mature redwood or sequoia.
  6. Students will write a one- to two-page essay about their superhero. They will write about the superhero’s physical characteristics (before and after superhero transformation), origin, strengths, powers, personality, and nemesis (optional). Student will use a rubric as a guide and form of assessment.
  7. Students will introduce the character to the class by using a presentation platform. I will use Prezi5 as an example. Students will make a one-page presentation with their superhero’s name, an illustration, and one fact and present it to the class. I will grade students’ oral presentation performance.
  8. Students will design a digital or hard copy comic book for the final portion of this project. For the digital comic books, my students will use a program such as Google Slides. They can use any paper they choose for the hardcopy version.
  9. Students will present their comic books to the class

Materials

Essay Expectations and Assessment Rubric:

Essay Expectations Rubric

Advanced—5

Proficient—4

Needs Improvement—3

Rewrite—2

Organization

Essay is excellently organized and easy to follow.

Essay is organized with a few confusing areas.

Essay is not well organized and at times is hard to follow.

Essay lacks organization making it difficult to read.

Word choice

Essay contains rich and sophisticated word choice. Excellent use of synonyms.

Essay contains good word choice. Good use of synonyms.

Essay contains simplistic word choice. Some descriptive words are repeated.

Essay contains too simplistic word choice and descriptive words are far too repetitive.

Sensory details

Essay is rich in sensory details and creates a vivid picture of the character.

Essay has some strong sensory details and creates a somewhat clear picture of the character.

Essay has too few sensory details and does not create a clear picture of the character.

Essay is lacking in sensory details and character focus.

Mathematics content

All expressions are relevant and written correctly. There is an appropriate amount of mathematical references included to explain to superheroes abilities.

Some expressions are relevant and written correctly. There is a fair amount of mathematical references included to explain to superheroes abilities.

Few expressions are relevant and written correctly. There are few mathematical references included to explain to superheroes abilities.

Expressions are not relevant and written incorrectly. There are no mathematical references included to explain to superheroes abilities.

Conventions

Excellent use of punctuation, capitalization, grammar, and spelling. Uses transitions to connect ideas and paragraphs well.

Correct use of punctuation, capitalization, grammar, and spelling with a minimal amount of errors. Uses some transitions to connect ideas and paragraphs.

Contains errors in one or more punctuation, capitalization, grammar, and spelling. Uses some transitions to connect ideas and paragraphs.

Contains many errors in punctuation, capitalizations, grammar, and spelling. Uses no transitions to connect ideas and paragraphs.

Format

Essay has a proper heading and centered title, typed in Times New Roman at 12 point font, double spaced with proper margins.

Essay has most of the proper formatting but wrong font, or spacing, etc.

Essay is lacking most aspects of formatting but not all.

Essay does not use correct formatting.

Comic Book and Oral Presentation Rubric and Self-Assessment:

Comic Book and Oral Presentation Self-Assessment Rubric

4

3

2

1

Superhero Character  Development

I included all of the necessary components: background/origin, physical makeup, strengths, powers, personality, and nemesis (optional).

I included all components, but my character needs more work.

I included most of the components and my character is almost fully developed.

I included few components and my character in not fully developed. I need to keep working on it.

Research

I used at least 7 reputable resources including a novel, website, comic book, and an interview.

I used 5 to 7 reputable resources including a novel, website, comic book, and an interview.

I used 3 to 4 reputable resources including a novel, website, comic book, or an interview.

I used only 1 to 2 reputable resources including a novel, website, comic book, or an interview.

Questions

I answered the guiding questions completely providing excellent details and examples.

I answered the guiding questions providing many details and examples.

I answered some of the guiding questions providing some details and examples.

I answered very few of the guiding questions providing no details and examples.

Math Content

I wrote all expressions correctly, showed and checked my work.

I wrote some expressions correctly, showed and checked some of my work.

I wrote few expressions correctly, and barely showed or checked my work.

I wrote no expressions correctly, and did not show or check my work.

Writing Content

I followed the essay rubric, wrote 3 drafts, and asked a peer to edit my work.

I somewhat followed the essay rubric, wrote 2 drafts, and asked a peer to edit my work.

I barely followed the essay rubric, wrote 1 draft, and asked a peer to edit my work.

I did not follow the essay rubric, wrote 1 draft, and did not ask a peer to edit my work.

Organization and Connection

My project was well organized and easy to follow. My superhero character and narrative showed a clear connection to the concept of scientific notation.

My project was somewhat organized, but easy to follow. My superhero character and narrative showed some connection to the concept of scientific notation.

My project was somewhat organized and difficult to follow. My superhero character and narrative showed very little connection to the concept of scientific notation.

My project was disorganized and hard to follow. My superhero character did not connect to the concept of scientific notation.

Neatness

My project was exceptional. It could not have been better.

My project was good. It had just one or two areas that needed improvement.

My project was just okay. It had a few areas that needed improvement.

My project was not acceptable. I’d like to redo it.

Prezi/Google Slides/PowerPoint Presentation

Our superhero was vivid and exceptionally designed. The fact was represented in an amazing and accurate way.

Our superhero was colorful and well designed and vivid. The fact was represented in an interesting and accurate way.

Our superhero lacked color and was not well designed. The fact was not interesting or entirely accurate.

Our superhero had no color and poorly designed. We did not include a fact about it.

Oral Presentation

I represented my team well. I spoke clearly about our superhero and provided details and examples.

I represented my team somewhat well. I spoke about our superhero and provided few details and examples.

My presentation needed improvement. I did not speak clearly about our superhero and provided only one detail and/or example.

I did not present well; I read entirely from my notes. I did not speak clearly about our superhero and did not provide any details or examples.

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