# Bungee Barbie: Using Barbie to collect and interpret linear data - Part 2

Traci Seto - Joseph Kerr Middle School

Subject Area - Math (Algebra)

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 curriculum-related 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

• 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 multi-step 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 multi-step 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.