FOCUS PLAN A. 1EFOCUS PLAN A. 1E

Predictions and Predictions and Conclusions in Conclusions in

Functional RelationshipsFunctional Relationships

A.A. 1E The student will interpret 1E The student will interpret and make decisions, and make decisions, predictions, and critical predictions, and critical judgments from functional judgments from functional relationships.relationships.

ON your TAKS, you will be asked to ON your TAKS, you will be asked to interpret and make predictions from interpret and make predictions from functional relationships. functional relationships.

A “functional” relationship may be a A “functional” relationship may be a graph or a table.graph or a table.

The following slides are examples of The following slides are examples of TAKS questionsTAKS questions..

Gina did a research project on how age Gina did a research project on how age affects sleep patterns. She concluded affects sleep patterns. She concluded that as people age, they sleep fewer that as people age, they sleep fewer hours until a point in adulthood when hours until a point in adulthood when the number of hours remains constant. the number of hours remains constant. Gina also found that after the age of 70 Gina also found that after the age of 70 the amount of time spent sleeping the amount of time spent sleeping increases slightly. Which graph best increases slightly. Which graph best shows the results of Gina’s research?shows the results of Gina’s research?

Grade 11 TAKS 2003

Grade 11 TAKS 2004Grade 11 TAKS 2004

Karen jogs at a steady pace up a hill in her Karen jogs at a steady pace up a hill in her neighborhood. She then runs down the hill, and neighborhood. She then runs down the hill, and her speed increases. Which graph best her speed increases. Which graph best describes this situation?describes this situation?

The graph shows the number of gallons of gas used by The graph shows the number of gallons of gas used by Maria’s car as a function of the number of miles driven.Maria’s car as a function of the number of miles driven.

About how many gallons of gas will Maria need for a 170 –About how many gallons of gas will Maria need for a 170 –mile trip?mile trip?

A 7 galA 7 galB 8.5 galB 8.5 galC 9.5 galC 9.5 galD 11 galD 11 gal

Drawing Conclusions from Functional Drawing Conclusions from Functional Relationships:Relationships:

Understand the problem.Understand the problem.Identify the quantities involved and any Identify the quantities involved and any relationships between them.relationships between them.Determine what the variables in the problem Determine what the variables in the problem represent.represent.For graphs: Determine what quantity each axis on For graphs: Determine what quantity each axis on the graph represents.the graph represents.For tables: Determine what quantity each column in For tables: Determine what quantity each column in the table represents.the table represents.Look for trends in the data. Look for maximum and Look for trends in the data. Look for maximum and minimum values in graphs.minimum values in graphs.Look for any unusual data. Look for any unusual data. Match the data to equations or formulas in the Match the data to equations or formulas in the problemproblem