JSherman pbl Algebra Project 1


Project Overview part 1: define

 

Name of Project:

Barbie Bungee

Duration: 2.5 – 3 weeks

 

Subject/Course:

Mathematics / Algebra 1

Grade Level: Algebra 1

 

Other subject areas to be included, if any:

Science, History

 

 

 

Project Idea

Summary of the issue, challenge, investigation, scenario, or problem:

 

 

Barbie bungee is focusing on graphing, drawing line of best fit, scatterplots, correlation and real-life relevance.

 

Driving Question

What variables would give you the most outrageous bungee jump possible?  WOOO HOO!

 

Content and Skills Standards to be addressed:

A2.4.2 Real-world Situations

A2.4.3 Draw conclusions from real-world

S2.1.1  Scatterplots

S2.1.2 Identify patterns, clusters, outliers and correlation

S2.1.3 Pearson's correlation

S2.1.4 Correlation vs causation

S2.2.1  Least Squares regression line

S2.2.2 Least Squares regression predictions

 

 

                                                                               

T+A

E

 

T+A

E

 

21st Century Skills

to be explicitly taught and assessed (T+A) or that will be encouraged (E) by project work, but not taught or assessed:

Collaboration:  Partner data collection

x

 

Other: Using technology in the classroom: graphing calculators and video camers

x

 

 

Presentation:  Partner presentation

Real-life relevance with relationships

x

 

 

 

 

 

Critical Thinking:  Relationship between weight, length of rope, and the excitement of the jump.

x

 

 

 

 

 

 

 

           

Presentation Audience:

 

 

Culminating Products and Performances

Group:

Students will work in partners gathering data and coming to a conclusion about Barbie’s Bungee jump.  They will also make a film about the project.

Class:

HS Math Class

School:

Malcolm High School

Community:

Sault Ste. Marie

 

Individual:

Students will work alone learning the proper mathematical terms and relationships before working on the final Barbie Bungee Project.

Experts:

 

Web:

 

Other:

Project Overview part 2: design

 

“Grabber” to launch inquiry & generate interest:

“Do you think the length of the cord and the size of the person matters when bungee jumping? Would it be smart to lie about your height or weight?"

Watch one or a few of the following videos  

Land Diving Ritual (www.nationalgeographic.com)  (not appropriate for all classrooms)

Bungee TV (www.bungee.com)

Nevis, NZ http://www.youtube.com/watch?v=zO1B3lEufHc&feature=related

Bungee Jump Preview (www.extremeworld.com)

 

 

 

Assessments

 

Formative Assessments

(Checkpoints During Project)

Quizzes/Tests

~scatterplot test

x

Practice Presentations

~video

x

 

Journal/Learning Log

~each day the students will be asked more indepth questions about scatterplots and bungee

x

Notes

~ video

 

 

Preliminary Plans/Outlines/Prototypes

~ for the video

 

Checklists

~ each assignment before Barbie Bungee

x

 

Rough Drafts

~ for their video

 

Concept Maps

~ when brainstorming before scatterplots begin

 

 

Online Tests/Exams

 

Other:

 

 

 

Summative Assessments

(End of Project)

 

Written Product(s), with rubric:

 

__________________________________________________

 

Other Product(s) or Performance(s), with rubric:

 

__________________________________________________

 

 

Oral Presentation, with rubric

~ video

x

Peer Evaluation

x

 

Multiple Choice/Short Answer Test

~ scatterplots (before activity)

x

Self-Evaluation

x

 

Essay Test

 

Other:

 

 

.

 

Debriefing Methods

 

(Individual, Group, and/or Whole Class)

Journal/Learning Log

~ after the m&m activity

~ after Barbie Bungee Activity

 

Focus Group

 

 

Whole-Class Discussion

~ after Barbie’s Big Jump

 

Fishbowl Discussion

 

 

Survey

~ after the whole Project

 

Other:

 

 

 

 

Resources

Needed

 

On-site people, facilities:

Tall enough location to drop Barbie (400cm)

 

Equipment:

Graphing Calculators

 

Materials:

Rubber bands (all the same size and type)
Yardsticks or measuring tapes
Masking tape
Barbie® dolls (or similar)

Ken doll
Barbie Bungee Activity Sheet

Fan

 

M&M Bungee

Slinky

2 meter sticks

30 m&m’s

2 paperclips

1 paper cup

 

Video Camera

 

Community resources:

 

 

                                       



Project Teaching and Learning Guide

Project:  Barbie Bungee

Course/Semester: Algebra 1 Semester 1

 

 

Knowledge and Skills Needed by Students

to successfully complete culminating products and

performances, and do well on summative assessments

Scaffolding / Materials / Lessons to be Provided

by the project teacher, other teachers, experts,

mentors, community members

Plot points on a graph

See the correlating relationships on a graph

 

è

 

Draw Scatterplots

Positive, Negative, No Correlation  WS

 

Find slope between two points

Write an equation of a line in slope-intercept Form

 

è

 

Slope and Slope-Intercept Form Review WS

How to find slope and write equations of lines.

After plotting points finding a line of best fit and writing an equation for it in slope-intercept form.

 

è

 

Line of Best Fit Examples

Determine the correlation between two objects and be able to explain.

 

è

 

Relationships and Correlation

Be able to successfully record a video

 

è

 

How to use video camera

Edit the film.

 

è

 

Camera editing software

 

 

è

 

 

       


PROJECT CALENDAR

project: Barbie Bungee

Start Date:  January 5, 2010

 

MONDAY

TUESDAY

WEDNESDAY

THURSDAY

FRIDAY

PROJECT WEEK ONE

 

Intro to Bungee watch videos and discuss possible elements to a better bungee jump

Concept Map: what variables might effect a jump.

Intro to Scatterplots WS

~ plotting

~ correlation

Slope and Slope-Intercept Form Review WS

Line of Best Fit Examples and WS

~graph with paper and calculator

Relationships and Correlations WS

“lurking variable”

 

PROJECT WEEK TWO

Extra Scatterplot WS

With use of graphing calculator

 

Quiz: Scatterplot

 

 

 

M&M Bungee (mini project before the Barbie)

Barbie Bungee Activity

Barbie Bungee Big Jump 400 cm

Reflection on their prediction and actual outcome.

 

Extension to

Barbie Bungee

Rough Draft for Video

 

Barbie Bungee Video

 

 

 

 

 

PROJECT WEEK THREE

 

Barbie Bungee Video

 

 

Show Video to school for voting.