Gr+7-8+-+Bungie+Barbie+-+Part+2+(Alg)

= ** 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.

** Lesson Video: ** media type="youtube" key="dLZE7JcnKFU" width="420" height="315" align="center" ** 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 //
 *  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 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.