Module 1 Modeling Real World Situations
Module Components
OverviewStudents will explore the characteristics of functions and investigate how they are used to model realworld situations. In this unit we will investigate how the patterns and relationships found in nature are modeled mathematically. This is a fundamental concept that is central to an advanced study in any field of science.

Essential QuestionsHow can events in the natural world be measured and evaluated in a precise and logical way?
Why is the physical world described so precisely by mathematics? The following video answers a question that has been ask many times... 
Knowledge & SkillsAfter completing this unit, students will know the basic dimesions that define the natural world.
Students will be able to recognize the basic parent functions that are found throughout nature. Students will be able to relate dimesions by independent and dependent variables into a functional relationship. Students will be able to create graphical representations of physical relationships. 
Key UnderstandingsAfter completion of this unit, students will understand how to quantify real world situations into basic dimensions.
Students will understand how to compare dimensions and their relationships mathematically interms of functions. Direct and inverse variation can be used to model laws of physical science. Trigonometric ratios can be used to calculate angles and distances in right triangles found in problem situations. 
MisconceptionsNone identified

Key VocabularyDimensions and Dimensional Analysis
Direct variation/ Inverse variation Exponential function Trigonometric function 
Performance IndicatorsConstruct tables and graphs for a collection of realworld data. Determine a function that would best represent the data.
Apply trigonometric ratios to find distances in problem situations. 
Summative AssessmentsThere will be a teacher written test for this introductory unit as well as the performance indicators.
