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In what ways do relations, functions, graphs of functions and their inverses help us interpret real-world events or solve problems?
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Student Learning Map
- Topic:Functions, Equations, and Graphs
- Subject(s):Math
- Days:11
- Grade(s):10, 11, 12
Key Learning:
Describing characteristics of relations, functions, and their inverses help interpret real-world events and solve problems.
Unit Essential Question(s):
Lesson Essential Question(s):How are real-world relations represented and analyzed; algebraically, graphically, and numerically? (A)How are real-world relations represented and analyzed; algebraically, graphically, and numerically? (ET)How are equations of lines written to represent real-world problems? (ET)Lesson Essential Question(s):How are real-world problems written that represent direct variation relation? (A)How are real-world problems written that represent direct variation relation? (ET)How are parameters used to interpret direct variation equation? (A)How are parameters used to interpret direct variation equation? (ET)Concept: ___OBJECTIVES___6___Lesson Essential Question(s):How are linear inequalities analyzed and graphed? (A)How are linear inequalities analyzed and graphed? (ET)How are absolute value inequalities analyzed and graphed? (A)How are absolute value inequalities analyzed and graphed? (ET)Lesson Essential Question(s):
Additional Info:
Textbook Ancillary Material Technology Support Program Hands-on manipulatives Kaplan Lesson Plans
Resources:
Culminating Activities:
1. Untitled Culminating ActivityStudent Assessment(s):
1. Untitled Student AssessmentAcquisition Lesson(s):
1. How are real-world relations represented and analyzed; algebraically, graphically, and numerically?2. How are real-world problems written that represent direct variation relation?3. How are linear equations written so that they model real-world data?4. How are absolute value functions described, analyzed, and graphed?5. How are linear inequalities analyzed and graphed?6. How are the basic operations with functions performed?7. How are parameters used to interpret direct variation equation?8. How are absolute value inequalities analyzed and graphed?9. How is the inverse of a function determined and why may it be important to know?Extended Thinking Lesson(s):
1. How are real-world relations represented and analyzed; algebraically, graphically, and numerically?2. How are real-world problems written that represent direct variation relation?3. How are linear inequalities analyzed and graphed?4. How are equations of lines written to represent real-world problems?5. How are parameters used to interpret direct variation equation?6. How are predictions made from linear models using estimation strategies?7. How are absolute value inequalities analyzed and graphed?8. How is the inverse of a function determined and why may it be important to know?