Penny Olympics Notes v8.1 15.16

Algebra 1 – Penny Olympics hallamsalgebra1.weebly.com Name________________________________________________Date___________________Hour______

Date Class Home

5/25 Opening Ceremonies G+ Team post

5/26 Research & design

Daily Reflections

Team Manager: Daily Post

sketch description of design

5/31 -6/1 PL: 1, 2, 3, 8, 9, 10, 16, 17, 18

PS: 4, 5, 11, 12, 13, 19, 20, 21

PJ: 6, 7 , 14, 15, 22, 23

Daily Reflections (all)


Event questions

6/2-6/3 PL: 6, 7, 14, 15, 22, 23

PS: 1, 2, 3, 8, 9, 10, 16, 17, 18

PJ: 4, 5, 11, 12, 13, 19, 20, 21



Event questions

6/6-6/7 PL:, 4, 5, 11, 12, 13, 19, 20, 21,

PR: 6, 7, 14, 15, 22, 23

PJ: 1, 2, 3, 8, 9, 10, 16, 17, 18



Event questions

6/8 Competition Daily Reflections (all)


6/9 Event Finals Daily Reflections (all)


** Complete every day 1. Clean working space 2. Label device 3. Share photos and information (Team manager) 4. Daily reflections (Individual) 5. Daily Post (Team manager)

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

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


PJ Captain Responsible for competing and all things related to the PJ



PS Captain Responsible for competing and all things related to the PR



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)



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.



Penny Launch (2 Days) Team #: PL Standard: 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

Algebra 1 – Penny Olympics hallamsalgebra1.weebly.com 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?


Penny Sailing (2 Days) Team #: PS Standard: 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


# of pennies

Distance Traveled AVG





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)?


Penny Jump (2 Days) Team #: PJ Standard: 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


# of pennies

AVG





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?


Competition Results Team #: CR Standard: 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.


Calculations

Target Distance: Distance traveled Difference

Penny Jump



Calculations



Final Competition Team #: CR Standard: 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.


Calculations

Target Distance: # made / total Launched Time

Penny Rockets



Calculations


Penny Jump



Calculations



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

Education

Penny Olympics Notes v8.1 15.16