Algebra 1 Unit consisting of various making activities. Students gather their own data and find the appropriate regression (line of best fit). Created by myself and Trapper Hallam.
3. Algebra 1 – Penny Olympics hallamsalgebra1.weebly.com
WELCOME TO OPENING DAY!!
Congratulations, and welcome to Penny Olympics 2016 at Eisenhower High School where you and your team will
compete in 3 events over the next 10 days. These events are designed to both challenge your mathematical reasoning
and your effectiveness as a team. Good luck and go for the gold!
Entry fee $1 from each team member in pennies (can be recouped or donated at completion)
Events
Penny Launch
Penny Sailing
Penny Jump
Points
Participation 50%
Data / Model 25%
Final Project 25%
Time:
Day 1: Opening Ceremonies and research
Day 2 will be a final preparation day before event
finals begin
You will have 2 days to complete each event
(Days 3-8).
First Day: Construction of the event device
Second Day: Data gathering and regression
Day 9: Competition
Day 10: Event Finals
Requirements
Participation Active at all points and times in the class period (teacher discretion)
Visible contributions
Daily reflections
Data / Model Visible/properly recorded data
Most logical model created from the team’s data
Accuracy of model
Final Project A collection of all daily reflections with an appropriate intro and summary
Your own unique writing
Images, data, and calculations present
**All rules and regulations are subject to change per the PO governing board (i.e. Mr. Hallam)
Absences:
Points for up to TWO absences can be earned back
A summary of the progress you missed. Needs to conclude how you will make contributions to make
up for your lost time. Contributions need to be documented and confirmed.
Must be submitted by email (to Mr. Hallam) and the team folder the next following day
4. Algebra 1 – Penny Olympics hallamsalgebra1.weebly.com
Event Competitions:
Qualifying Event Event Championship
Penny Launch % of shots made of 10 in 2 min Single elimination 1 shot competition, 1 min
Penny Sailing Closest to length without passing 1-minute
calculation time
Closest to length without passing 1-minute
calculation time
Penny Jump Closest to height without passing 1-minute
calculation time
Closest to height without passing 1-minute
calculation time
Team Roles:
Team Manager
Responsible for team effectiveness, submissions, social media, delegation
and communication between teacher and team
Media specialist / Photographer
Share information between group members
Daily post (separate from daily reflection)
Assist captains where needed
PL Captain
Responsible for competing and all things related to the PL
Reports to Team Manager
Assist captains where needed
PJ Captain
Responsible for competing and all things related to the PJ
Reports to Team Manager
Assist captains where needed
PS Captain
Responsible for competing and all things related to the PR
Reports to Team Manager
Assist captains where needed
Materials:
Enough materials will be provided for you to compete in each event.
Your team will have a budget of up to $5 (your money) that can be spent towards the construction of
your competing device. ALL items must be approved by the teacher before purchase and use or
penalty will occur.
Daily Post (G+)
#team number-event acronym
o EX: #12-PR
Post in Class hour
Multiple pictures and/or videos
Address writing prompts
Writing Prompts (Daily Reflections & Daily Post):
A fun and creative narrative of that day’s activity and what you and your team complted (both)
“English class” type writing not a list of facts or bullet points (both)
Description of challenges you encountered (both)
Success you and your team encountered (both)
Details and specifics of solution to problems and challenges (Reflection)
Pictures and videos (both)
Psychological game / Intimidate other teams (post)
6. Algebra 1 – Penny Olympics hallamsalgebra1.weebly.com
Grading Rubric
Grade
Participation
(50%)
Data / Model
(25%)
Final Summary
(25%)
Daily Reflections
4
Abundant effort is present throughout
the PO. Evidence of extensive
collaboration exists. Daily reflections
are done in advance and contain great
detail and insight. Has extensive
knowledge of each event when
questioned. Motivated and self-
sufficient always takes action and
never idle during class time
Extensive, complete, detailed,
data that reflects accurate
measurements. Evidence
exists of multi-model
comparisons and selection of
best fit model by sight and
correlation coefficient
supported by insightful
comments.
Summary addresses all events.
Contains multiple pictures of each
event. Exceptional flow and
sequence to the summary and very
easy to follow. Outstanding detail
and reflective thoughts. Visually
appealing with evidence of high
effort and time spent in creation
Contains unique and abundant
detail about the day’s events,
multiple pictures containing
construction and calculations.
Interesting and cohesive. Reads
as a reflection not bullet points or
facts. Contains team successes
and failures with solutions and
insight.
3
Good effort is present throughout the
PO. Evidence of collaboration exists.
Daily reflections are done on-time and
contain detail and insight. Has decent
knowledge of each event when
questioned. Motivated and self-
sufficient usually takes action and
sparingly idle during class time
Complete, and detailed data
that reflects quality
measurements. Evidence
exists of multi-model
comparisons and selection of
best fit model by sight and
correlation coefficient
supported by comments.
Summary addresses all events.
Contains pictures of each event.
Contains flow and sequence to the
summary and easy to follow. Detail
and reflective thoughts are
present. Visually cohesive with
evidence of effort and time spent
in creation
Contains detail about the day’s
events, a few pictures containing
construction and calculations.
Written cohesively. Reads as a
reflection not bullet points or
facts. Contains a few team
successes and failures with
solutions.
2
Some effort is present throughout the
PO. Some evidence of collaboration
exists. Daily reflections are completed
at some point. Has some knowledge of
each event when questioned.
Occasionally motivated and needs to
be directed to be on task and take
action. Usually idle during class time.
Semi-complete data that
reflects measurements.
Minimal evidence exists of
multi-model comparisons and
selection of best fit model by
correlation coefficient.
Summary addresses most events.
Contains pictures of most events.
Contains some sequence to the
summary and can be followed.
Minimal detail and reflective
thoughts are present. Some visual
cohesiveness with evidence of
some effort and time spent in
creation
Contains little detail about the
day’s events, no pictures or
calculations. Reads as a reflection
with some bullet points or facts.
Contains no team successes and
failures or solutions.
1
No effort is present throughout the
PO. NO evidence of collaboration
exists. Daily reflections are
incomplete. Has no knowledge of each
event when questioned. Not
motivated and needs consistent
direction. No actions taken and
always idle during class time.
Little/No data collected. No
evidence exists of multi-model
comparisons.
Summary addresses few events.
Contains no pictures of events.
Contains no sequence to the
summary and cannot be followed.
No detail or reflective thoughts are
present. No visual cohesiveness
with evidence of minimal effort
and time spent in creation
Contains no detail about the day’s
events, no pictures or
calculations. Reads as bullet
points or listed facts. Contains no
team successes and failures or
solutions.
8. Algebra 1 – Penny Olympics hallamsalgebra1.weebly.com
Penny Launch (2 Days) Team #:
PLStandard: A.CED.A.2; A.CED.A.3; A.REI.C.6; F.BF.A.1; F.LE.A.1 Captain:
Goal:
To build a mechanism able to launch a penny into a target at various distances which will be calculated by a model I
regress from the data I collect.
Requirements
1. Using the materials provided, build a catapult to launch a penny. Use the one on
display for inspiration.
2. Requirements:
a. Must have firing pins that will work with the firing mechanism
b. Your catapult must be able to launch a penny at least 30 inches.
c. Must be able to be clamped to the firing platform
Materials:
10 popsicle sticks
10 rubber bands
4 paper clips (firing pins &
launching mechanism )
Firing Mechanism (2 paper
clips)
Bottle cap
5 in of masking tape
Independent Variable: ____________________ Dependent Variable: ____________________
Distance
between
Launch Pins
AVG
*Data points do/should not be limited to the table provided
Family of Model Penny Launch Model Correlation Coefficient
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Daily Reflection Questions
1. Draw a graph of your data
2. In the competition, you are asked to shoot a penny into a target 24 inches away, how far apart should your
launching pins be? Show your model and the calculations you used.
3. What did you do to ensure success or explain what may have caused you to miss and why this matters?
4. What are possible causes for variance between the distance your penny travels and the model of the distance
traveled?
5. Without making any changes to how your catapult is built, what could you do to get your penny to travel
further?
6. How would your penny’s path of motion be affected if you changed the angle of the launching cap? Why?
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Penny Sailing (2 Days) Team #:
PSStandard: A.CED.A.2; A.CED.A.3; A.REI.C.6; F.BF.A.1; F.LE.A.1 Captain:
Goal:
To construct a mechanism able to carry and transport pennies to a target distance down the track at various distances
which will be calculated by a model I regress from the data I collect.
Requirements
1. Using the materials provided, build:
a. Penny carriage able to carry pennies while suspended from the sail racer
b. A sail racer.
2. Restrictions:
a. The carriage must be permanently attached to the sail racer or must have
a device for quick attachment
b. Carriage must have an open top for ease of access
c. Sail racer must have an uncut straw for attachment for the race way
Materials:
Carriage
2 straw
6 feet of fishing line
½ sheet of paper
2 pipe cleaners
5 in of tape
Sail racer
1 piece of construction
paper
5 in of tape
1 straw
3 popsicle sticks
Independent Variable: ____________________ Dependent Variable: ____________________
# of
pennies
Distance Traveled AVG
*Data points do/should not be limited to the table provided
Family of Model Penny Launch Model Correlation Coefficient
11. Algebra 1 – Penny Olympics hallamsalgebra1.weebly.com
Daily Reflection Questions
1. Draw a graph of your data
2. How many pennies are needed to get your sail racer to 82 inches? Show your model and the calculations you
used.
3. How did you make sure that your pennies didn’t fall out?
4. What adjustments would you make to your rocket if the track was twine, or rope, instead of fishing line?
5. If the track was at an angle, how would the model change? Explain thoroughly.
6. If you had unrestricted resources, how would you modify your carriage and/or rocket to go further, while still
using the same basic setup (i.e. still a balloon rocket)?
12. Algebra 1 – Penny Olympics hallamsalgebra1.weebly.com
Penny Jump (2 Days) Team #:
PJStandard: A.CED.A.2; A.CED.A.3; A.REI.C.6; F.BF.A.1; F.LE.A.1 Captain:
Goal:
To construct a mechanism able to carry pennies to certain heights which will be calculated by a model I regress from the
data I collect.
Requirements
1. Using the materials provided, build:
a. Penny carriage able to carry pennies while suspended from the elastic
b. Can be the same as PR
2. Restrictions:
a. Must have a mechanism to attach the carriage to the elastic
b. Carriage must have an open top for ease of access
c. Carriage must be detachable
Materials:
2 straw
6 feet of fishing line
1 sheet of construction
paper
2 pipe cleaners
5 in of tape
Independent Variable: ____________________ Dependent Variable: ____________________
# of
pennies
AVG
*Data points do/should not be limited to the table provided
Family of Model Penny Launch Model Correlation Coefficient
13. Algebra 1 – Penny Olympics hallamsalgebra1.weebly.com
Daily Reflection Questions
1. Draw a graph of your data
2. How many pennies are needed to get to 86 mm? Show your model and the calculations you used.
3. What does each part of your model mean? (e.g. if your model was in the form y = abx
, what do y, a, b, and x
represent in context of this event)
4. Why/How did you determine which function family best models the data? Why did you rule out the other two
families?
5. What restrictions are there on your model/the Penny Jump event? (i.e. are there any values, pennies or
distance, that do not make sense?) Explain.
6. How would your model be affected if you used materials that were stretchy/elastic-like properties? Why?
14. Algebra 1 – Penny Olympics hallamsalgebra1.weebly.com
Competition Results Team #:
CRStandard: Captain:
Penny Launch
Record (video and data) your Rocket attempt. You will be given the distance to the bucket. Determine the distance
needed between the launching pins. Teams with the highest percentage of shots made will make it to the finals.
Model used Competitor Name
Calculations
Target Distance: # made / total Launched Time
Penny Rockets
Record (video and data) your Rocket attempt. You will be given a distance. Determine number of pennies needed.
Teams that make it closest to the target distance will qualify for the finals.
Model used Competitor Name
Calculations
Target Distance: Distance traveled Difference
Penny Jump
Record (video and data) your Rocket attempt. You will be given a distance. Determine number of pennies needed.
Teams that make it closest to the target distance will qualify for the finals.
Model used Competitor Name
Calculations
Target Distance: Distance traveled Difference
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Final Competition Team #:
CRStandard: Captain:
Penny Launch
Record (video and data) your Rocket attempt. You will be given the distance to the bucket. Determine the distance
needed between the launching pins. Teams with the highest percentage of shots made will make it to the finals.
Model used Competitor Name
Calculations
Target Distance: # made / total Launched Time
Penny Rockets
Record (video and data) your Rocket attempt. You will be given a distance. Determine number of pennies needed.
Teams that make it closest to the target distance will qualify for the finals.
Model used Competitor Name
Calculations
Target Distance: Distance traveled Difference
Penny Jump
Record (video and data) your Rocket attempt. You will be given a distance. Determine number of pennies needed.
Teams that make it closest to the target distance will qualify for the finals.
Model used Competitor Name
Calculations
Target Distance: Distance traveled Difference
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Team #: Penny Jump Penny Launch Penny Sails
Target Distance
Number of pennies
Difference/% made
Calculations
Team #: Penny Jump Penny Launch Penny Sails
Target Distance
Number of pennies
Difference/% made
Calculations