UVA-SCPS Office of Mathematics Outreach with support from VADOE Mathematics and Science Partnership Grant Program NCLB Title II Part B 21st Century Teaching and Learning: Project-based Unit
Snapshot of Unit Content and Student Expectations
Title of Unit: My Graduation Trip Unit Designers:
Angela Williams and Terrie Atkinson, Fauquier County Public Schools
Context of the Project: As you graduate, you have been $2000 for graduation; you decide to take your dream vacation as a reward for your work. This project is focused on financial aspects for after secondary school. The students are responsible for planning their vacation within a budget and must include all expenses while they are there. This includes travel to and from their choice, and all expenses incurred during their trip.
Number of Class Hours:
12-14 hours Unit
Design:
Project-based Unit Other Subject
Areas/Disciplines Addressed in the Unit:
Writing, research, tourism, personal finance.
Driving Question: You receive $2000 upon graduation. Within this budget, you must decide where to go, how to get there, what activities to do there, how to travel around while there, why you are going there, and how much it costs? Mathematics Content
Addressed:
Proportions, percent, regression function, slope, circles and creating pie graphs, personal finance, unit conversion (money, distances, rates), scale factors
Mathematical Process Goals Addressed
XX_Problem Solving XX Communication XX Reasoning XX Connections XX Representations Assumption of Prior
Knowledge:
Proportions, percent, reading pie graphs Courses for Which the
Unit is Appropriate
Personal Finance, Geometry, Algebra (Self – Contained Special Education) College and Career
Readiness/21st Century Skills
BIE Page 35-37
T for skills to be taught and expected to use during the unit,
E for skills student are expected to know and be able to use during this unit A for skills that will be assessed during this unit
UVA-SCPS Office of Mathematics Outreach with support from VADOE Mathematics and Science Partnership Grant Program NCLB Title II Part B Major Student
Products and/or Performances:
Group (group of 2) –Student chooses the best presentation method for their trip; class has an open forum to present their trips that must include a pie graph of their budget.
Requirements: Oral Presentations, itinerary for trip, written project paper, brochure of location with money, Bid persuasive proposal for parents to allow students to travel to the location, Scrapbook/slide show of the trip with prices
Presentation Audience: XX Class
School
Individual – See above – Self-contained should allow for individuals to work alone. Individuals in self-contained classes can work alone.
Expert Community XX Other: Parent
Engage the students interest and inquiry:
As you graduate, you have been $2000 for graduation; you decide to take your dream vacation as a reward for your work. Within a budget; where will you go, what will you do when you get there, how you will get there, how you will get around when you get there, why would you go there and how much will it cost?
You receive $2000 upon graduation. Within this budget, you must decide where to go, how to get there, what activities to do there, how to travel around while there, why you are going there, and how much it costs? http://travel.yahoo.com/trip-journal-821696-london_madness;_ylt=Agr8wmDaof87_HXA9l2fgvCcItAF
Evaluation: Formative Assessments (During the Unit)
Interview XX Practice Presentations XX
Mathematicians Journal XX - guided
Notes Preliminary
Plans/Outlines/Prototypes
XX Checklists XX
Rough Drafts Concept maps
Field Tests Other:
Summative Assessment (End of Project)
Written Products, with a rubric XX Peer Evaluation, with a rubric
XX Oral Presentation with a rubric Self Evaluation, with a
rubric
XX Other Product(s) or
Performance(s), with a rubric
UVA-SCPS Office of Mathematics Outreach with support from VADOE Mathematics and Science Partnership Grant Program NCLB Title II Part B Resources Needed: On-site people, facilities: Computer lab, ITRT (technology Resource Person), Instructional Assistants
Equipment/Technology: Computers with Internet access, calculators, Elmo and Projector
Materials: Handouts 1-14, computers with internet access, protractors and compasses for pie chart Community Resources: Travel Agent, Well-Traveled Teachers
Reflection Methods: Individual, Group, and/or Whole Class
Mathematicians Journal XX Small/Focus Groups XX Whole Class Discussions XX Fishbowl Discussions XX
Survey Other:
Material Adapted From:
Trip Planner: http://travel.yahoo.com/trip-journal-821696-london_madness;_ylt=Agr8wmDaof87_HXA9l2fgvCcItAF
UVA-SCPS Office of Mathematics Outreach with support from VADOE Mathematics and Science Partnership Grant Program NCLB Title II Part B Quick Snapshot for the Sequence of Unit Activities
UNIT TITLE: My Graduation Trip MINUTES PER CLASS: Block = 90 minutes
D a y 1 D a y 2 D a y 3 D a y 4 D a y 5
P R O J E C T W E E K O N E
Notes: 60 minutes 90 minutes 90 minutes 90 minutes 90 minutes
Launch: Yahoo Travel (HO#1Cover page)
Expectations Discussion: Group and Individual (HO#2)
Contract (HO#3)
Skills Know and Need to Know
Team Meeting: Assignments and first meeting:
Initial Task List, Roles, (HO#4)
Lesson: Decision Making/ wants and needs (location choice) (HO#5)
Explanation of Project Details and procedures (calendar) (HO#6)
Explanation of Rubrics (HO#7)
Team Meeting: Task List and location choice
Daily team assessment (HO#8)
Lesson: Budget Worksheet (HO#9)
Team work: Determine daily budget – prioritize money (where to spend what). (HO#10)
Checkpoint: Interviews
Daily Team Assessment (HO#8)
Lesson: Conversions (HO#11)
Team work: Make all conversions needed, begin planning itinerary
Daily Team Assessment (HO#8)
Review Need to Know List
Quiz on budgeting and conversions. (HO#13)
Team work: Continue planning and research.
Checkpoint Interviews
Daily Team Assessment (HO#8)
D a y 6 D a y 7 D a y 8 D a y 9 D a y 1 0
P R O J E C T W E E K T W O Notes 90 minutes 90 minutes 90 minutes
Lesson: Pie Charts (HO#14)
Team work: Create Pie Chart showing the amounts spent on specific areas of trip. (ie lodging, airfare, etc.)
Daily Team Assessments (HO#8)
Review Need to Know List
Team Work: Creation of final product
Daily Team Assessments (HO#8)
UVA-SCPS Office of Mathematics Outreach with support from VADOE Mathematics and Science Partnership Grant Program NCLB Title II Part B
Overview of Student Knowledge and Skills
What do students need to know and be able to do to complete the unit successfully? Project: My Graduation Trip
Analyze each major task and the final project for the unit for the knowledge and skills necessary to produce a high-quality product.
How and when will students assess their own necessary prior knowledge and skills?
How will they remediate their own gaps or weaknesses in expected prior knowledge and skills? KNOWLEDGE AND SKILLS NEEDED Assumed
already learned
Students will self-assess
Will be learned and assessed during the unit
1. Decision Making XX XX
2. Budgeting XX XX
3. Reading Pie Charts XX XX
4. Creating Pie Charts XX XX
5. Percentages XX
6. Regression Function xx xx
7. Slope/Rate of Change xx xx
8. Personal Finance xx xx
9. Unit Conversion xx xx
What project tools will student’s use to monitor their progress through the unit and especially the project?
XX Student developed Know/need to know lists
Student developed Daily goal sheet XX Student Mathematician’s Journals Student developed Briefs/Memos XX Student developed Task lists
Student developed Planning Calendar XX Teacher developed Rubrics
Other:
UVA-SCPS Office of Mathematics Outreach with support from VADOE Mathematics and Science Partnership Grant Program NCLB Title II Part B
Unit Title: My Graduation Trip
Driving Question: You receive $2000 upon graduation. Within this budget, you must decide where to go, how to get there, what activities to do there, how to travel around while there, why you are going there, and how much it costs?
Project Description: Students choose the best presentation method for their trip; class has an open forum to present their trips that must include a pie graph of their budget. Requirements: Oral
Presentations, itinerary for trip, written project paper, brochure of location with money, Bid persuasive proposal for parents to allow students to travel to the location, Scrapbook/slide show of the trip with prices.
ENGAGE How will student’s interested be piqued so they want to engage in the inquiry in this project-based unit? Number of hours 25 minutes
Teacher Directions: Read the following:
1. You receive $2000 upon graduation. Within this budget, you must decide where to go, how to get there, what activities to do there, how to travel around while there, why you are going there, and how much it costs?
2. Show students the following link:
a.
http://travel.yahoo.com/trip-journal-821696-london_madness;_ylt=Agr8wmDaof87_HXA9l2fgvCcItAF b. Discuss ideas of a dream trip. What do you need to know
when you are planning a trip?
c. Show how they can find their places to stay, food, activities to be used as an outline for their final product.
3. Students participate in discussions about planning their “dream” vacation.
a. Project Cover Page – (HO #1) Anticipated products or artifacts if any –
Journal Entry on the back of the Cover Page
Mathematician Journal Prompts (Guided) Students will answer the questions… 1. What are your initial feelings about this project?
2. Do you have a dream location that you would like to travel to? 3. What
connections can you make to “math” class? -EXPLORE Teacher provides guidance for the explorations to prepare students with
In this unit, the “Explore” activities are connected to the actual project, so that students are learning and reviewing as they work through the project. You may decide that your students do not need all of these activities and allow them more freedom to complete the project on their own. Feel free to use whatever parts of the activity you need for your students to be
successful.
Mathematician Journal Prompts Project-based Learning Unit
UVA-SCPS Office of Mathematics Outreach with support from VADOE Mathematics and Science Partnership Grant Program NCLB Title II Part B
the knowledge and skills to engage in the project-based unit.
Students will self-assess on the prior knowledge and skills assumed for the unit
Number of hours___
EXPLAIN Teacher introduces the project and prepares students to work
independently in small groups
Number of Hours_0.5
A. Introduce the Project: Notes to Teacher
1. Tell the students they are about to create something and learn something at the same time. Read; As you graduate, you have been $2000 for graduation; you decide to take your dream vacation as a reward for your work. Within a budget; where will you go, what will you do when you get there, how you will get there, how you will get around when you get there, why would you go there and how much will it cost?
2. Discuss the many places that the world has to offer. Discuss any vacations some of them have had and what it was like. Use any personal destinations you can to evoke more thought. Ask the students what, if any, planning they did for previous trips. Did they get to decide where, when, or activities for the trip? 3. Use the “what we need to know” chart to discuss what they are
going to learn.
B. Description of final product and clarify expectations for the project product(s) and presentation
1. Clarification of expectations for the final product and/or presentation: Students will choose the best presentation method for their trip; class will have a round table presentation to present their trip, including a pie graph of their budget, oral presentations, itinerary for the trip, written project paper, brochure of the location, persuasive proposal for their parents to allow you to travel to the location, scrapbook/slide show of the trip with budget.
2. Describe the skills or knowledge needed: Proportions, percent, regression function, slope, circles and creating pie graphs, personal finance, unit conversion (money, distances, rates), scale factors, also problem solving, communication, reasoning,
UVA-SCPS Office of Mathematics Outreach with support from VADOE Mathematics and Science Partnership Grant Program NCLB Title II Part B
connections and representations.
3. Materials/equipment/resources needed: computers with internet, calculators, Elmo and projector, chart paper and markers, team folders, team copies of all worksheets
4. Rubric(s) attached identified with a title and handout number (HO #__7_)
5. Answer sheet for teacher or some guiding statements regarding evaluation of student work attached identified with a title and handout number (HO #__7_)
C. Suggestions for what is necessary to preparing students
2. Expectations for working independently in groups and for how students will monitor their own group participation: Project Expectations (HO #2), Group contract (HO #3), Group Role Assignments (HO #3), Project management log (HO #4) 3. Describe the expectations for how groups will plan and monitor
the tasks, timeline, and responsibilities necessary to complete the project on time: Students will follow the calendar set by teachers (HO#6) and monitor during daily team interviews 4. Rubric(s) attached identified with a title and handout number
(HO #__7_) ELABORATE
The student groups are working independently with teacher consultations. Number of Hours_12
Students should be working cooperatively. Monitor negative behavior and students not participating. Remind students of the contract and provide positive feedback whenever possible.
Check in daily that the students are using their contract and logs
appropriately. Collect the team folders to ensure progress is being made. Make notes for the team to review the following day during their team meeting.
Students self-monitoring
1. Tools for group planning attached identified with a title and handout number (HO #_3 and 4__)
2. Tools or rubrics for student self-monitoring of individual participation in group work attached identified with a title and handout number (HO #__7_)
3. Rubric(s) for self-evaluation of product and/or presentation attached identified with a title and handout number (HO #_8__) Below are the step-by-step instructions for students who need daily monitoring, as in a special education classroom or a collaborative classroom.
Students participate in seven days of mini-activities that review the mathematical content involved in the project and refine their mathematical skills.
UVA-SCPS Office of Mathematics Outreach with support from VADOE Mathematics and Science Partnership Grant Program NCLB Title II Part B
A. Launch Activity (HO #1):
1. Introduce the students to planning a vacation within a given budget
2. HO #1
3. No answer sheet
4. Students can use computers with internet access. Group and Individual Expectations Contract (HO #2):
I. Day One: Launch Day
A. You receive $2000 upon graduation. Within this budget, you must decide where to go, how to get there, what activities to do there, how to travel around while there, why you are going there, and how much it costs?
B. Brief description of activity
4. Launch (cover page hand out (HO# 1) after the initial presentation.
a. Show students the following link
http://travel.yahoo.com/trip-journal-821696-london_madness;_ylt=Agr8wmDaof87_HXA9l 2fgvCcItAF
b. Discuss ideas of a dream trip. What do you need to know when you are planning a trip? c. Show how they can find their places to stay,
food, activities to be used as an outline for their final product.
5. Expectations Discussion: Group and Individual Expectations (HO# 2) Expectations, Contract
a. Discussion using the Contract
b. Create class descriptions of each bullet
- Example: “We all promise to listen… “What does that mean in our class? 6. Skills Know and Need to Know Discussion
a. Student recorder on chart paper
b. Ask what skills might you need to have in order to complete a full trip itinerary? Student driven discussion with teacher asking leading
questions and monitoring on task behavior. - This will be revisited later as we
continue working on this. 7. Team Meeting:
a. Team assignments – 2 geometry students to 1 algebra student (blending self-contained classes)
b. Initial Task List (HO# 4) c. Assigning of roles and tasks
UVA-SCPS Office of Mathematics Outreach with support from VADOE Mathematics and Science Partnership Grant Program NCLB Title II Part B
1. Project Cover Page (HO# 1)
2. Group and Individual Expectations Contract (HO# 2)
3. Initial Task List (HO# 4)
D. Answer sheet for teacher or some guiding statements regarding evaluation of student work attached identified with a title and handout number (HO #___)
1. Project Cover Page (HO# 1)
2. Group and Individual Expectations Contract (HO# 2)
3. Initial Task List (HO#3)
E. Materials/Equipment/Resources Needed 1. Handouts copied for the group
2. Computer with internet access and projector 3. Chart paper and markers
4. Group folders 5. Team assignments II. Day TWO: Decision Making
A. Decision Making: Now that you have this money, how do you decide where to go?
B. Brief description of activity 8. Launch (hand out (HO# 5)
a. Discussion - Decision Making – what are decisions? Who influences them? What influences them?
b. Decision making worksheets – Introduce Pros and Cons
9. Explanation of Project Details and Procedures a. Calendar handed out and discussed (HO#6) b. Check Points Discussed – What they are and
how they will be handled.
c. Project types will be discussed. How do you persuade someone?
d. Rubrics – Handed out and discussed (HO#7) 10. Team Meeting:
a. Task List - Who needs to do what?
b. Location Choice – Using the decision making sheets, the group will determine their location of choice.
c. Daily Team assessment sheet (HO#8)
C. Student Direction(s) Sheet Attached identified with a Title and Handout number (HO #___)
1. Decision Making sheets (HO#5) 2. Calendar (HO#6)
3. Rubrics (HO#7)
UVA-SCPS Office of Mathematics Outreach with support from VADOE Mathematics and Science Partnership Grant Program NCLB Title II Part B
D. Answer sheet for teacher or some guiding statements regarding evaluation of student work attached identified with a title and handout number (HO #___)
1. Decision Making sheets (HO#5) 2. Calendar (HO#6)
3. Rubrics (HO#7)
4. Daily Team Assessment Sheet (HO#8) E. Materials/Equipment/Resources Needed
1. Handouts copied for the group
2. Computer with internet access and projector 3. Chart paper and markers
III. Day THREE: Budgeting
A. Budgeting: How do I keep from spending too much? B. Brief description of activity
11. Launch (hand out (HO# 9)
a. Discussion – Budgeting: What is that? b. Budgeting packet by (HO#9)
12. Team Meeting:
a. Determine Daily Budget – Prioritize money (what to spend where). Using Budget Planning Worksheet (HO#10)
b. Daily Team assessment sheet (HO#8) 13. Checkpoint Interviews
C. Student Direction(s) Sheet Attached identified with a Title and Handout number (HO #___)
1. Budgeting Packet (HO#9) 2. Budget Planning (HO#10)
3. Daily Team Assessment Sheet (HO#8) D. Answer sheet for teacher or some guiding statements
regarding evaluation of student work attached identified with a title and handout number (HO #___)
1. Budgeting Packet (HO#9T) 2. Budget Planning (HO#10T)
3. Daily Team Assessment Sheet (HO#8T) E. Materials/Equipment/Resources Needed
1. Handouts copied for the group
2. Computer with internet access and projector 3. Chart paper and markers
IV. Day FOUR: Conversions
A. Conversions: Money, Temperature, Etc… B. Brief description of activity
1. Launch (hand out (HO#11)
a. Discussion – Conversions: What is that? b. Converting English to Metric (HO#11)
UVA-SCPS Office of Mathematics Outreach with support from VADOE Mathematics and Science Partnership Grant Program NCLB Title II Part B
d. Money: Using the internet find the conversions and rates for their country if leaving the US. 2. Team Meeting:
a. Make all conversions needed on the budget sheet (HO#10)
b. Begin Planning Itinerary
c. Daily Team assessment sheet (HO#8) 3. Checkpoint Interviews
C. Student Direction(s) Sheet Attached identified with a Title and Handout number (HO #___)
1. Conversions packet (HO#11)
2. Daily Team Assessment Sheet (HO#8) D. Answer sheet for teacher or some guiding statements
regarding evaluation of student work attached identified with a title and handout number (HO #___)
1. Conversions packet (HO#11T)
2. Daily Team Assessment Sheet (HO#8) E. Materials/Equipment/Resources Needed
1. Handouts copied for the group
2. Computer with internet access and projector 3. Chart paper and markers
V. Day FIVE: Review Need to Know
A. Look at the chart paper – What have we learned so far? 1. Discuss what we have learned and what we still
need to know as we continue planning our trip. B. Quiz – Budgeting and Conversions (HO# 13)
C. Team Meeting:
a. Continue planning and research b. Checkpoint Interviews
c. Daily Team Assessment Sheet (HO#8) D. Materials/Equipment/Resources Needed
1. Handouts copied for the group
2. Computer with internet access and projector 3. Chart paper and markers
VI. Day SIX: Pie Charts
A. You will make a “Pie Chart” of the how much money is spent on specific aspects of your trip.
B. Brief description of activity
a. Using Google Images, Show multiple representations of pie graphs
b. Discuss how to create a pie graph
c. Team Work – Students will work in their team to create a pie chart using the directions page given to them. (HO#13)
C. Student Direction(s) Sheet Attached identified with a Title and Handout number (HO #___)
UVA-SCPS Office of Mathematics Outreach with support from VADOE Mathematics and Science Partnership Grant Program NCLB Title II Part B
2. Daily Team Assessment (HO#8)
D. Answer sheet for teacher or some guiding statements regarding evaluation of student work attached identified with a title and handout number (HO #___)
1. Pie Chart Directions (HO#14) E. Materials/Equipment/Resources Needed
1. Handouts copied for the group
2. Computer with internet access and projector 3. Chart paper and markers
4. Group folders 5. Team assignments VII. Day SEVEN: Review Need to Know
A. Final Review of the Need to Know B. Brief description of activity
1. Discuss the need to know and what we have learned from this project. Is there anything that we still need to know?
2. Discuss how to create a pie graph 3. Team Work – Final project creation
C. Student Direction(s) Sheet Attached identified with a Title and Handout number (HO #___)
1. Daily Team Assessment (HO#8)
D. Answer sheet for teacher or some guiding statements regarding evaluation of student work attached identified with a title and handout number (HO #___)
1. Final rubric (HO#7T)
E. Materials/Equipment/Resources Needed 1. Handouts copied for the group
2. Computer with internet access and projector 3. Chart paper and markers
4. Group folders 5. Team assignments VIII. Day EIGHT: Final Presentations
A. Presentation Day
B. Brief description of activity
1. Begin with the Presentation Day Checklist (HO#7) a. Discuss what is expected of the class and
individuals as presentations occur. 2. Students will present their trip in a round table
discussion
a. Room will be set up in circle having each group sit together. They will draw numbers from a hat (or alphabetical by the name of their destination) to decide which group goes first.
UVA-SCPS Office of Mathematics Outreach with support from VADOE Mathematics and Science Partnership Grant Program NCLB Title II Part B
presentation (HO#7)
c. Each student will also be responsible for completing a Self-Reflection on their own Project (HO#7)
C. Student Direction(s) Sheet Attached identified with a Title and Handout number (HO #7)
1. Presentation Day Checklist (HO#7) 2. Positive feedback form (HO#7) 3. Self – Reflection of Project (HO#7)
D. Answer sheet for teacher or some guiding statements regarding evaluation of student work attached identified with a title and handout number (HO #7)
1. Final rubric (HO#7T)
E. Materials/Equipment/Resources Needed 1. Handouts copied for the group
2. Computer with internet access and projector 3. Chart paper and markers
4. Group folders Team assignments
EVALUATE Working groups submit products or make
presentations Number of Hours_0.5
A. Directions for Instructor regarding final evaluation: use appropriate rubric and provide positive feedback.
B. Rubric(s) for teacher and/or audience for presentation attached identified with a title and handout number (HO #7)
Mathematician Journal Prompts
UVA-SCPS Office of Mathematics Outreach with support from VADOE Mathematics and Science Partnership Grant Program NCLB Title II Part B
HO #1
Congratulations!! You have finally graduated!!.
As a graduation gift you have been given $2000. What to do with the money? Dream Vacation! You have decided to take your dream vacation as a reward for all your hard work. Within a budget of $2000,
1) You will choose your destination, 2) How you will get there,
3) What you will do when you get there, 4) How you will get around when you get there 5) And any other endeavor you wish to include.
Of course you will have to get your parents’ permission.
GOAL: to create a presentation
that will “sell” your plans to them and they will
let you travel.
‘Vacation’ word only has strength to relax many running minds and to relieve you from all your routine stress and tensions. So, just imagine if you will visit your dream vacation destinations, then how you feel or experience? It’s undoubtedly, the most memorable experience for you. Now,
UVA-SCPS Office of Mathematics Outreach with support from VADOE Mathematics and Science Partnership Grant Program NCLB Title II Part B
HO #2
Group and Individual Expectations Teacher set expectations:
1.
Responsibility for yourself – be prepared and ready to work with team and have tasks
complete and on time.
2.
Help your team – share ideas, give supportive feedback, and offer to help in any way
3.
Respect others – Remember your manners - Listen
4.
Work to the best of your abilities
5.
Ask for help when needed
Student set expectations:
1.
________________________________________________________________
________________________________________________________________
2.
________________________________________________________________
________________________________________________________________
3.
________________________________________________________________
________________________________________________________________
4.
________________________________________________________________
________________________________________________________________
Group Expectations:
1.
Share responsibility for your groups’ success and for mistakes.
2.
________________________________________________________________
________________________________________________________________
3.
________________________________________________________________
UVA-SCPS Office of Mathematics Outreach with support from VADOE Mathematics and Science Partnership Grant Program NCLB Title II Part B
HO #3 Group Contract
Project Name: Members of Group:
Our Agreement
We all promise to listen to each other’s ideas with respect.
We all promise to do our assigned work to the best of our ability.
We all promise to turn in our work on or before due dates.
We all promise to ask for help if we need it.
We all promise to share responsibility for our success and for our mistakes.
We all promise to turn in work that is our own.
We all promise to fulfill our job listed on the back of this contract.
________________________________________________________
________________________________________________________
If someone in the group breaks one or more of our rules, the group has the right to call a meeting
and ask the person to follow the rules. If the person still breaks one or more rules, we have the
right to vote to fire that person.
Date: ______________________
Group Member Signatures:
_____________________________
___________________________
_____________________________
___________________________
UVA-SCPS Office of Mathematics Outreach with support from VADOE Mathematics and Science Partnership Grant Program NCLB Title II Part B
HO#3 Group Role Assignments:
Group facilitator: moderates discussions, keeps the group on task, assures work is done
by all, and makes sure all have opportunity to participate and learn.
o
______________________
Timekeeper: monitors time and moves group along so that they complete the task in the
available time, keeps area clean, assumes role of any missing group member if there is no
wildcard member.
o
_____________________
Recorder: takes notes of the group's discussion and prepares a written conclusion.
o
_____________________
Checker: makes sure that all group members understand the concepts and the group's
conclusions.
o
_____________________
Summarizer: restates the group's conclusions or answers and completes the “work report”
o
_____________________
Elaborator: relates the discussion with prior concepts and knowledge.
o
_____________________
Research-Runner: gets needed materials and is the liaison between groups and between
their group and the instructor. Completes the Check Point Interview.
UVA-SCPS Office of Mathematics Outreach with support from VADOE Mathematics and Science Partnership Grant Program NCLB Title II Part B
HO #4
Project Management Log: Group Tasks
Task Who Is Responsible Due Date Status Done
Adapted from Buck Institute for Education PBL Starter Kit
UVA-SCPS Office of Mathematics Outreach with support from VADOE Mathematics and Science Partnership Grant Program NCLB Title II Part B
HO #5 Decision-Making Worksheet
Group Members:
Problem: Where should we go on our Senior Trip?
Location 1: Location 2: Location 3:
UVA-SCPS Office of Mathematics Outreach with support from VADOE Mathematics and Science Partnership Grant Program NCLB Title II Part B
HO#6 Project Calendar
D a y 1 D a y 2 D a y 3 D a y 4 D a y 5
P R O J E C T W E E K O N E
Notes: 60 minutes 90 minutes 90 minutes 90 minutes 90 minutes
Launch: Yahoo Travel (HO#1Cover page)
Expectations Discussion: Group and Individual (HO#2)
Contract (HO#3)
Skills Know and Need to Know
Team Meeting: Assignments and first meeting:
Initial Task List, Roles, (HO#4)
Lesson: Decision Making/ wants and needs (location choice) (HO#5)
Explanation of Project Details and procedures (calendar) (HO#6)
Explanation of Rubrics (HO#7)
Team Meeting: Task List and location choice
Daily team assessment (HO#8)
Lesson: Budget Worksheet (HO#9)
Team work: Determine daily budget – prioritize money (where to spend what). (HO#10)
Checkpoint: Interviews
Daily Team Assessment (HO#8)
Lesson: Conversions (HO#11)
Team work: Make all conversions needed, begin planning itinerary
Daily Team Assessment (HO#8)
Review Need to Know List
Quiz on budgeting and conversions. (HO#13)
Team work: Continue planning and research.
Checkpoint Interviews
Daily Team Assessment (HO#8)
D a y 6 D a y 7 D a y 8 D a y 9 D a y 1 0
P R O J E C T W E E K T W O Notes 90 minutes 90 minutes 90 minutes
Lesson: Pie Charts (HO#14)
Team work: Create Pie Chart showing the amounts spent on specific areas of trip. (ie lodging, airfare, etc.)
Daily Team Assessments (HO#8)
Review Need to Know List
Team Work: Creation of final product
Daily Team Assessments (HO#8)
UVA-SCPS Office of Mathematics Outreach with support from VADOE Mathematics and Science Partnership Grant Program NCLB Title II Part B
HO #7
Final Presentation
Student Name: ________________________________________
CATEGORY 4 3 2 1
Preparedness Student is
completely prepared and has obviously rehearsed.
Student seems pretty prepared but might have needed a couple more
rehearsals.
The student is somewhat prepared, but it is clear that rehearsal was lacking.
Student does not seem at all prepared to present.
Collaboration with Peers
Almost always listens to, shares with, and supports the efforts of others in the group. Tries to keep people working well together.
Usually listens to, shares with, and supports the efforts of others in the group. Does not cause \"waves\" in the group.
Often listens to, shares with, and supports the efforts of others in the group but sometimes is not a good team member.
Rarely listens to, shares with, and supports the efforts of others in the group. Often is not a good team member.
Content Shows a full
understanding of the topic.
Shows a good understanding of the topic.
Shows a good understanding of parts of the topic.
Does not seem to understand the topic very well.
Evaluates Peers Fills out peer
evaluation completely and always gives scores based on the presentation rather than other factors (e.g., person is a close friend).
Fills out almost all of the peer evaluation and always gives scores based on the presentation rather than other factors (e.g., person is a close friend).
Fills out most of the peer evaluation and always gives scores based on the presentation rather than other factors (e.g., person is a close friend).
Fills out most of the peer evaluation but scoring appears to be biased.
Listens to Other Presentations
Listens intently. Does not make distracting noises or
movements.
Listens intently but has one distracting noise or movement.
Sometimes does not appear to be listening but is not distracting.
Sometimes does not appear to be listening and has distracting noises or movements.
Speaks Clearly Speaks clearly and
distinctly all (100-95%) the time, and mispronounces no words.
Speaks clearly and distinctly all (100-95%) the time, but mispronounces one word.
Speaks clearly and distinctly most ( 94-85%) of the time. Mispronounces no more than one word.
Often mumbles or can not be understood OR mispronounces more than one word.
Stays on Topic Stays on topic all
(100%) of the time.
Stays on topic most (99-90%) of the time.
Stays on topic some (89%-75%) of the time.
UVA-SCPS Office of Mathematics Outreach with support from VADOE Mathematics and Science Partnership Grant Program NCLB Title II Part B
Persuasion
Student Name: ________________________________________
CATEGORY 4 - Above Standards 3 - Meets Standards 2 - Approaching Standards 1 - Below Standards
Attention Grabber
The introduction has a strong hook or attention grabber that is appropriate for the audience.
The introduction has a hook or attention grabber, but it is weak, rambling or inappropriate for the audience.
The author has an
interesting introduction but the connection to the topic is not clear.
The introduction is not interesting AND is not relevant to the topic.
Accuracy All supportive facts
and statistics are reported accurately.
Almost all supportive facts and statistics are reported accurately.
Most supportive facts and statistics are reported accurately.
Most supportive facts and statistics were inaccurately reported.
Sequencing Arguments and
support are provided in a logical order that makes it easy and interesting to follow the author\'s train of thought.
Arguments and support are provided in a fairly logical order that makes it reasonably easy to follow the author\'s train of thought.
A few of the support details or arguments are not in an expected or logical order, distracting the reader and making the essay seem a little confusing.
Many of the support details or arguments are not in an expected or logical order, distracting the reader and making the essay seem very confusing.
Audience Demonstrates a clear
understanding of the potential reader and uses appropriate vocabulary and arguments.
Demonstrates a general
understanding of the potential reader and uses vocabulary and arguments
appropriate for that audience.
Demonstrates some understanding of the potential reader and uses arguments appropriate for that audience.
UVA-SCPS Office of Mathematics Outreach with support from VADOE Mathematics and Science Partnership Grant Program NCLB Title II Part B
Collaborative Work Skills Student Name: ________________________________________
CATEGORY 4 3 2 1
Contributions Routinely provides useful
ideas when participating in the group and in classroom discussion. A definite leader who contributes a lot of effort.
Usually provides useful ideas when participating in the group and in classroom discussion. A strong group member who tries hard!
Sometimes provides useful ideas when participating in the group and in classroom discussion. A satisfactory group member who does what is required.
Rarely provides useful ideas when participating in the group and in classroom discussion. May refuse to participate.
Quality of Work Provides work of the
highest quality.
Provides high quality work.
Provides work that occasionally needs to be checked/revised by other group members to ensure quality.
Provides work that usually needs to be
checked/revised by others to ensure quality.
Time-management Routinely uses time well
throughout the project to ensure things get done on time. Group does not have to adjust deadlines or work responsibilities because of this person\'s procrastination.
Usually uses time well throughout the project, but may have procrastinated on one thing. Group does not have to adjust deadlines or work responsibilities because of this person\'s procrastination.
Tends to procrastinate, but always gets things done by the deadlines. Group does not have to adjust deadlines or work responsibilities because of this person\'s
procrastination.
Rarely gets things done by the deadlines AND group has to adjust deadlines or work responsibilities because of this person\'s inadequate time management.
Problem-solving Actively looks for and
suggests solutions to problems.
Refines solutions suggested by others.
Does not suggest or refine solutions, but is willing to try out solutions suggested by others.
Does not try to solve problems or help others solve problems. Lets others do the work.
Attitude Never is publicly critical of
the project or the work of others. Always has a positive attitude about the task(s).
Rarely is publicly critical of the project or the work of others. Often has a positive attitude about the task(s).
Occasionally is publicly critical of the project or the work of other members of the group. Usually has a positive attitude about the task(s).
Often is publicly critical of the project or the work of other members of the group. Often has a negative attitude about the task(s).
Focus on the task Consistently stays focused on the task and what needs to be done. Very self-directed.
Focuses on the task and what needs to be done most of the time. Other group members can count on this person.
Focuses on the task and what needs to be done some of the time. Other group members must sometimes nag, prod, and remind to keep this person on-task.
Rarely focuses on the task and what needs to be done. Lets others do the work.
Preparedness Brings needed materials
to class and is always ready to work.
Almost always brings needed materials to class and is ready to work.
Almost always brings needed materials but sometimes needs to settle down and get to work
Often forgets needed materials or is rarely ready to get to work.
Pride Work reflects this
student\'s best efforts.
Work reflects a strong effort from this student.
Work reflects some effort from this student.
Work reflects very little effort on the part of this student.
Working with Others Almost always listens to, shares with, and supports the efforts of others. Tries to keep people working well together.
Usually listens to, shares, with, and supports the efforts of others. Does not cause \"waves\" in the group.
Often listens to, shares with, and supports the efforts of others, but sometimes is not a good team member.
UVA-SCPS Office of Mathematics Outreach with support from VADOE Mathematics and Science Partnership Grant Program NCLB Title II Part B
HO #8 Daily Assessment Sheet
Group: ________________________________ Trip Location:__________________________________ For the Time Period: Day ________________________
During this time period I had the following goals for project work:
1 2 3
During this time period I accomplished…
1 2 3
My next steps are …
1 2 3
My most important concerns, problems, or questions are…
UVA-SCPS Office of Mathematics Outreach with support from VADOE Mathematics and Science Partnership Grant Program NCLB Title II Part B
HO #9
Budgeting Activity Sheet
Needs Vs. Wants
You may have many things you want and need. This worksheet should help you think about
which is which!
I need…
Least Important Most
Important
1 2 3 4 5
1 2 3 4 5
1 2 3 4 5
1 2 3 4 5
I want…
1 2 3 4 5
1 2 3 4 5
1 2 3 4 5
UVA-SCPS Office of Mathematics Outreach with support from VADOE Mathematics and Science Partnership Grant Program NCLB Title II Part B
Budgeting Handout
What if you saved the money instead?
Expenses Costing $25 - $30 Per Month
Cost Per
Month
Savings Over
5 yrs. 10 yrs. 15 yrs.
Large Pizza w/2 toppings (every two weeks)
Cable TV
Cell Phone
Six pack of Soda every Friday night
Expenses Costing About $50 per Month
Cost Per
Month
Savings Over
5 yrs. 10 yrs. 15 yrs.
Dinner out after every paycheck (Pay every 2 weeks)
Haircut/color at fancy salon ($70 every 6 weeks)
Expenses Costing about $100 per Month
Cost Per
Month
Savings Over
5 yrs. 10 yrs. 15 yrs.
UVA-SCPS Office of Mathematics Outreach with support from VADOE Mathematics and Science Partnership Grant Program NCLB Title II Part B
BUDGETING ACTIVITY SHEET
Spending Plan
Category
Weekly
Amount
Monthly
Amount
Rent
Heat
Utilities
Telephone
Cable
Cell phone/pager
Groceries
Restaurant meals
School meals
Child care
Transportation (car payments, gas, T pass)
Clothing
Furnishings & household upkeep
Personal needs (haircuts, makeup)
Family recreation (movies, videos, games, etc.)
Medical insurance/Medicaid
Other insurance (fire, life, rental, etc.)
Debt
Taxes
Savings
Gifts (holidays and birthdays)
Other:
TOTALS
UVA-SCPS Office of Mathematics Outreach with support from VADOE Mathematics and Science Partnership Grant Program NCLB Title II Part B
BUDGETING HANDOUT
Monthly Payment Schedule
UVA-SCPS Office of Mathematics Outreach with support from VADOE Mathematics and Science Partnership Grant Program NCLB Title II Part B
HO #10
Budget Planning Worksheet
After completing the “Economic Empowerment Program”, create the budget for your trip.
First plan how much you will budget for each. Then research the prices and list them in the
actual column. Subtract the two to find the difference.
Transportation
Budget
Actual
Difference
Airfare Adults
Airfare Children
Airfare Parking at Airport
Airfare Car Rental
Airfare Car R. Extras (child seats, ins)
Gas [price x miles / MPG]
Road Tolls
Bus Tickets
Other
Total
Insurance
+ Add Row
Budget
Actual
Difference
Cancellation Insurance
Travel Insurance - Medical
Travel Insurance - Valuables
Total
UVA-SCPS Office of Mathematics Outreach with support from VADOE Mathematics and Science Partnership Grant Program NCLB Title II Part B
Lodging
Budget
Actual
Difference
Hotels and Motels
B&B's
Hostels
Cabin Rentals
Campsite Rental
Other
Total
Things to Get Here
Budget
Actual
Difference
Suitcases
Maps / Road Atlas
Guide Books
Language Guides
Books & Magazines
Gifts for Hosts
Other
Total
Things to Get There
Budget
Actual
Difference
Souvenirs
Clothes
Tax-free Perfume
UVA-SCPS Office of Mathematics Outreach with support from VADOE Mathematics and Science Partnership Grant Program NCLB Title II Part B
Things to Get There
Budget
Actual
Difference
Total
Food & Drink
Budget
Actual
Difference
Snacks
Bottled Drinks
Breakfasts
Lunches
Dinners
Groceries for Cooking
Coffee
Other
Total
Tickets
Budget
Actual
Difference
Museums
Amusement
Night Club Covers
Sport Club Fees
Other
Total
Summary Calculation
Budget
Actual
Difference
UVA-SCPS Office of Mathematics Outreach with support from VADOE Mathematics and Science Partnership Grant Program NCLB Title II Part B
HO #11
Conversions English to Metric
1)
_____
2)
11
_____
3)
_____
4)
_____
5)
_____
6)
_____
7)
_____
8)
_____
9)
_____
10)
_____
11)
_____
12)
_____
13)
_____
UVA-SCPS Office of Mathematics Outreach with support from VADOE Mathematics and Science Partnership Grant Program NCLB Title II Part B
HO#11T
Conversions English to Metric
Teachers Answers
1)
_
15.53
__
2)
11
27.94
_
3)
_
12.74
_
4)
_
212.62
5)
_
26.25
_
6)
_
7.94
_
7)
1.63
8)
88.29
_
9)
_
0.51
_
10)
_
1.32
_
11)
_
40.64
_
12)
_
16.82
_
13)
_
10.94
UVA-SCPS Office of Mathematics Outreach with support from VADOE Mathematics and Science Partnership Grant Program NCLB Title II Part B
Converting Fahrenheit to Celsius and Celsius to Fahrenheit
1)
____
2)
____
3)
____
4)
____
5)
____
6)
____
7)
____
8)
____
9)
____
10)
____
11)
____
12)
____
13)
____
14)
____
15)
____
1)
_____
˚
F
2)
_____
˚
F
3)
_____
˚
F
4)
_____
˚
F
5)
_____
˚
F
6)
_____
˚
F
7)
_____
˚
F
8)
_____
˚
F
9)
_____
˚
F
10)
_____
˚
F
11)
_____
˚
F
12)
_____
˚
F
13)
_____
˚
F
14)
_____
˚
F
UVA-SCPS Office of Mathematics Outreach with support from VADOE Mathematics and Science Partnership Grant Program NCLB Title II Part B
Converting Fahrenheit to Celsius and
Celsius to Fahrenheit
Answers
1)
_-67.8___
2)
_-43.9_
3)
36.7_
4)
_25
5)
_-5.6_
6)
_16.1
7)
-15
8)
_-33.3
9)
_-17.8
10)
28.3
11)
_37.8_
12)
-60_
13)
-43.3_
14)
_7.2
15)
17.2_
1)
__-47.2_
˚
F
2)
_102.2_
˚
F
3)
_127.4_
˚
F
4)
_-81.4_
˚
F
5)
_26.6_
˚
F
6)
_73.4_
˚
F
7)
_109.4_
˚
F
8)
_152.6_
˚
F
9)
_-101.2_
˚
F
10)
_116.6_
˚
F
11)
_167_
˚
F
12)
_194_
˚
F
13)
_-50.8_
˚
F
14)
_163.4_
˚
F
UVA-SCPS Office of Mathematics Outreach with support from VADOE Mathematics and Science Partnership Grant Program NCLB Title II Part B
HO #12 Senior Trip Itinerary
Print and take a copy of this form with you on your trip. Also leave a copy at home with a friend or relative.
Personal Information
Full names & Nicknames Home address Home phone Cellular phones
Departure Info
Date Airline Flight Number From Departure Time Departure Terminal/Gate To Arrival Time Length of Flight Seat Numbers Confirmation Numbers Meal Airline Telephone Number
Car Rental
UVA-SCPS Office of Mathematics Outreach with support from VADOE Mathematics and Science Partnership Grant Program NCLB Title II Part B
Lodging
Date of Reservation Hotel Name Hotel Address Hotel Phone Number Check-in Day/Time Check-out Day/Time Confirmation Number
Activities
Activity 1 Dates/Times Date of Reservation Confirmation Number Activity 2 Dates/Times Date of Reservation Confirmation Number
UVA-SCPS Office of Mathematics Outreach with support from VADOE Mathematics and Science Partnership Grant Program NCLB Title II Part B
Return Info
Date Airline Flight Number From Departure Time Departure Terminal/Gate To Arrival Time Length of Flight Seat Numbers Confirmation Numbers Meal Airline Telephone Number
Travel Insurance
Insurance Company Telephone Number Coverage Type Confirmation Number Purchase Date Coverage Dates
Emergency Contacts Phone Number/Alternate Phone Number
UVA-SCPS Office of Mathematics Outreach with support from VADOE Mathematics and Science Partnership Grant Program NCLB Title II Part B
HO #13
Conversions Quiz
1)
2)
3)
4)
5)
6)
7)
8)
9)
10)
11)
12)
13)
14)
UVA-SCPS Office of Mathematics Outreach with support from VADOE Mathematics and Science Partnership Grant Program NCLB Title II Part B
Conversions Quiz
1)
2)
3)
4)
5)
6)
7)
8)
9)
10)
11)
12)
13)
14)
UVA-SCPS Office of Mathematics Outreach with support from VADOE Mathematics and Science Partnership Grant Program NCLB Title II Part B
HO #14
Pie Chart
Steps to creating your pie chart…
1)
Prepare your budget
2)
Calculate the totals being spent in each category
3)
Write your data down in descending order (from largest amount to smallest amount)
4)
Add up your total budget (should be $2000)
5)
Write a proportion for each data point
a.
Numerator is the total for category
b.
Denominator is the total amount ($2000)
6)
Find the decimal per category (divide numerator by the denominator)
7)
Calculate the angle of each pie slice (multiply each decimal by 360)
8)
Draw your pie chart
a.
Start with a perfect circle
b.
Draw a radius
c.
Place your protractor on the circle, with the center of the circle being your vertex
d.
Draw each angle of your pie chart moving the bottom line of the angle each time
e.
Label each angle with the degrees as you create the slice
UVA-SCPS Office of Mathematics Outreach with support from VADOE Mathematics and Science Partnership Grant Program NCLB Title II Part B