1 Algebra I: Strand 3. Quadratic and Nonlinear Functions; Topic 4. Inverse Variation; Topic Notes STRAND 3: QUADRATIC AND NONLINEAR FUNCTIONS TOPIC 3.4: INVERSE VARIATIONS Topic Notes Mathematical focus Participants explore inverse variations situations. Participants develop the idea that in inverse variation, y·x is a constant and compare that to direct variation where y/x is the constant. Topic overview This topic includes two tasks: Task 3.4.1: Distance and Time Task 3.4.2: Heat and Pressure TExES Standards focus TExES Standard II.004 Patterns and algebra. The teacher uses patterns to model and solve problems and formulate conjectures. The beginning teacher: (A) Recognizes and extends patterns and relationships in data presented in tables, sequences, or graphs. TEKS/TAKS focus TEKS A.11 Quadratic and other nonlinear functions. The student understands there are situations modeled by functions that are neither linear nor quadratic and models the situations. The student is expected to: (B) analyze data and represent situations involving inverse variation using concrete models, tables, graphs or other algebraic methods. Materials Task Graphing Calculator Copies of Task Task 3.4.1 Distance and Time Task 3.4.2 Heat and Pressure x x x x Procedures Break participants into groups of 3 or 4 and have them complete the task. Participants then come back together for a whole class discussion of the results. November 24, 2004. Ensuring Teacher Quality: Algebra I, produced by the Charles A. Dana Center at The University of Texas at Austin for the Texas Higher Education Coordinating Board. 2 Algebra I: Strand 3. Quadratic and Nonlinear Functions; Topic 4. Inverse Variation; Topic Notes Teaching notes Have students investigate the tasks using their graphing calculators. November 24, 2004. Ensuring Teacher Quality: Algebra I, produced by the Charles A. Dana Center at The University of Texas at Austin for the Texas Higher Education Coordinating Board.