Bungee Barbie: Using Barbie to collect and interpret linear data  Part 2
Traci Seto  Joseph Kerr Middle
School
Subject Area
 Math (Algebra)
Grade Level
 Middle School
Overview:
To make the concept of linear patterns
and relationships more concrete; students will collect data using
rubber bands and Barbie Dolls and will use the linear relationship
of the data to make predictions.
Objectives:
 Students will understand the purpose of collecting Bungee Barbie data is to see the linear pattern of the data and make predictions using tables, graphs, and graphing calculators.
 Students will analyze their data, looking for patterns/trends in their tables and graphs.
 Students will be introduced to the concept of linear regression (line of best fit) on a graphing calculator.
Procedure:
Day 3:
 Teacher models data entry on graphing calculators.
 Students enter their data.
 Teacher models linear regression on graphing calculators.
 Students use linear regression on calculator to find line of best fit.
 Teacher monitors data analysis.
 Students copy the calculator “line of best fit” to include in their report.
 Students compare their “line of best fit” to the calculator’s “line of best fit”.
 Teacher gives students the big jump height.
 Students calculate the number of rubber bands needed using their “line of best fit” equation and the calculator’s “line of best fit” equation.
 Student pairs make a prediction on index card for the number of rubber bands they want to use for the final jump.
 Teacher collects predictions.
 Teacher wraps up the activity and collects materials.
Materials:
 16 Graphing Calculators
 Graph paper
 TI83+ Teacher’s edition with ? motion panel overhead and motion detector
 Computer with TI Graph Link 83+ (optional)
Lesson Resources:
Standards:
ISTE NETS:
 Collaborate with peers, experts, and others using telecommunications and collaborative tools to investigate curriculumrelated problems, issues, and information, and to develop solutions or products for audiences inside and outside the classroom.
 Select and use appropriate tools and technology resources to accomplish a variety of tasks and solve problems.
Common Core Standards –
Mathematics
 Grade 8  Understand the connections between proportional relationships, lines, and linear equations; Use functions to model relationships between quantities.
 Algebra I  Create equations that describe numbers or relationships; Represent and solve equations and inequalities graphically.
California Content Standards for
Mathematics

7th
Grade
 Algebra and Functions 1.0 Students express quantitative relationships by using algebraic terminology, expression, equations, inequalities, and graphs.
 Algebra and Functions 3.0 Students graph and interpret linear functions.
 Statistics, Data, Analysis and Probability 1.0 Students collect organize and represent data sets that have one or more variables and identify relationships among variables within a data set by hand and through the use of an electronic spreadsheet software program.
 Mathematical Reasoning 1.0 Students make decisions about how to approach problems.
 Mathematical Reasoning 2.0 Students use strategies, skills, and concepts in finding solutions.

Mathematical
Reasoning 3.0 Students determine a problem is complete and move
beyond a particular problem by generalizing to other
situations.

Algebra
I
 Algebra 1.0 Students identify and use the arithmetic properties of subsets of integers and rational, irrational, and real numbers, including closure properties for the four basic arithmetic operations where applicable.
 Algebra 4.0 Students simplify expressions before solving linear equations and inequalities in one variable.
 Algebra 5.0 Students solve multistep problems, including word problems, involving linear equations and linear inequalities in one variable and provide justification for each step.
 Algebra 6.0 Students graph a linear equation.
 Algebra 7.0 Students verify that a point lies on a line, given an equation of the line.
 Algebra 10.0 Students add, subtract, multiply, and divide monomials and polynomials. Students solve multistep problems, including word problems, by using these techniques.
 Algebra 16.0 Students understand the concepts of a relation and a function, determine whether a given relation defines a function, and give pertinent information about given relations and functions.
 Algebra 24.0 Students use and know simple aspects of a logical argument.