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MATH: "Fibonacci Scavenger Hunt"STEP 1: Click play on the video box below to view a demonstration and learn about a fun MATH concept!STEP 2: Explore the project(s) below the video box, as well as additional resources to the right of the page.STEP 3: When ready, scroll down to bottom of page or use navigation bar at top to explore another STEAM session.STEP 4: Join us on Facebook at 11:30am for a LIVE session with Steve Spangler to close our STEAM Expo.CHECK IN! Make sure to CHECK IN to let us know that you visited the STEAM Expo and to be eligible for exciting door prizes.DON'T FORGET! Share your STEAM Expo photos/videos using #CCPSSTEAM and tag @collierschools.BEYOND TODAY! All sessions will continue to be accessible beyond today's STEAM Expo launch! Chart your own path and feel free to come back to activities you would like to explore further.
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"Fibonacci Scavenger Hunt"
The Fibonacci sequence and golden ratio exist all around us! After learning some of the basics of the Fibonacci sequence, prepare to go on a scavenger hunt looking for Fibonacci numbers in the world around you!PROJECTS
FIBONACCI SCAVENGER HUNT
A scavenger hunt is an activity and/or competition where participants are given a list of items to find. Scavenger hunts are beneficial to learning as they can increase problem-solving skills, practice teamwork at times, and can include movement and/or nature experiences. This scavenger hunt is based on the Fibonacci sequence and golden ratio.DIRECTIONS
- Click here to print the Scavenger Hunt chart, or make your own chart on a blank sheet of paper
- Find a writing utensil (pen, pencil, crayon, etc.)
- Search for the objects in the "Items to Find" column on the Scavenger Hunt chart. Place a check mark in the "Check" box once you find each item.
- Provide a short description of each item you find and how it relates to the Fibonacci spiral/sequence
- Make sure to HAVE FUN!
- Can you find other items not on the list that also relate to the Fibonacci spiral/sequence?
EXAMPLES
Share your Scavenger Hunt finds with us on social media! Remember to #CCPSSTEAM and tag @collierschools.
FIBONACCI SPIRAL
MATERIALS- Click here to print out the graph paper you will need. (You can also use a blank sheet of paper)
- Pencil
- Ruler
- Colored pencils (optional)
- Click here to print the Scavenger Hunt chart, or make your own chart on a blank sheet of paper
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BEFORE YOU BEGIN
On the top of your paper, write the first 8 terms of the Fibonacci sequence:
0, 1, 1, 2, 3, 5, 8, 13Continue by clicking on each step below to view its description and visual example.
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STEP 1
In the middle of your graph or plain paper, draw a 1 cm by 1 cm square by either tracing the outline of the square on graph paper, or using the ruler with your blank paper
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STEP 2
Draw another 1 cm by 1 cm square directly under the first square
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STEP 3
Draw a 2 cm by 2 cm square and place it to the left of the first 2 squares
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STEP 4
Draw a 3 cm by 3 cm square and place it above the squares on your paper
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STEP 5
Draw a 5 cm by 5 cm square and place it to the right of the squares on your paper
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STEP 6
Draw an 8 cm by 8 cm square and place it below the squares on your paper
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STEP 7
Draw a 13 cm by 13 cm square and place it left of your squares on the paper
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STEP 8
Now we will create the spiral. Start by drawing a diagonal line from the top left corner to the bottom right corner of the first square you drew on your paper
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STEP 9
Draw a line from the top right corner to the bottom left corner of the second square you drew
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STEP 10
Draw a line from the bottom right to the top left of the third square you drew
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STEP 11
Continue this pattern and draw a line from the bottom left to the top right corner of the 3 cm by 3 cm square
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STEP 12
Now continue this pattern through the remaining squares. Can you see the spiral? Instead of using lines, can you used a curved pattern for a more defined spiral?
Optional: color each square a different color using the colored pencils you have
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ADDITIONAL QUESTIONS TO CONSIDER
- How large could you make the spiral? Can you visualize the next few squares and patterns?
- Can you find any other patterns in the sequence?
- Where can you find this spiral in nature?
Share your Fibonacci Spiral with us on social media! Remember to #CCPSSTEAM and tag @collierschools.
- How large could you make the spiral? Can you visualize the next few squares and patterns?
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TECHNICAL DIFFICULTIES? If you are having technical difficulties watching or interacting with the STEAM Expo, please try refreshing your browser (F5 on keyboard) or try using another browser (i.e. Internet Explorer or Google Chrome).
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FIBONACCI RESOURCES LEARN MORE ABOUT FIBONACCI
Leonardo Pisano (Leonardo of Pisa) was an Italian mathematician, nicknamed Fibonacci. Before continuing with the projects, take some time to learn a little more about Fibonacci and the sequence by watching the videos below.Math in the World Around Us: Fibonacci Sequence
Fibonacci Numbers and the Golden Ratio
PBS Learning - Fibonacci Sequence
Science Kids Nature by Numbers
ADDITIONAL RESOURCES CANVAS RESOURCES CCPS Students! Find MATH learning support by logging into Canvas and clicking on the resources listed below.
- HMH Poggles Online Game (K-1)
- ALEKS (6-Geometry)
- Reveal Math National (6-12)
- Khan Academy (K-12)
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FAMILY STEAM ACTIVITIES
STEAM SESSIONSClick on each session below to access fun STEAM activities! Each will feature a video demonstration, project instructions, and additional resources.
MINDFUL MOVEMENT MOMENTSClick on each Mindful Movement Moment below to access fun and healthy fitness activities! Each will feature several videos for you to follow along with, as well as additional resources.Click on the Pre-K session below for a demonstration of a fun activity you can do with your Pre-K student. You will also find additional resources and activities.