Section 2.1 - Linear and Quadratic Functions and Modeling

Essential Question(s): 

How are linear functions used to model linear correlations?
How are quadratic functions used to model situations?

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Follow these three steps to complete this "flip" lesson.

STEP 1: Preparation 
Title your spiral with the heading above and copy the essential question(s).

STEP 2: Vocabulary & Examples 
Copy and define the following of vocabulary. This can be any tables, properties, theorems, terms, phrases or postulates listed. Review the following examples and copy what is necessary for you. Use the guiding questions for your cornell notes.

Polynomial Functions

• What is the definition of a polynomial function? (pg 170)
• What are some functions of no or low degree? (pg 171)
• Review identifying functions (Ex 1 pg 171)

Linear Functions and their Graphs

• What is a slant line? (pg 171)
• Review finding equations of linear functions (Ex 2 pg 172)

Average Rate of Change

• What is the average rate of change? (pg 172)
• What is a constant rate of change? (pg 172)
• What are the characteristics of linear functions? (pg 174)

Linear Correlation and Modeling

• What are the possible linear correlations? (pg 174)
• What are the properties of the correlation coefficient r? (pg 174)
• How do you perform a regression analysis? (pg 176)

Quadratic Functions and their Graphs

• Review the vocabulary and transformation of quadratics. (pg 176-177, Ex 4)
• What is the vertex form of a quadratic function? (pg 178)
• How do you convert a quadratic function from standard form to vertex form? (Ex 5 & Ex 6 pg 178-179)
• What are the characteristics of quadratic functions? (pg 179)

Applications of Quadratic Functions

• What is vertical free-fall motion? (pg 180)

STEP 3: Reading
Read the following page(s) and take any extra notes as needed.

• Read pages 170-181.
• Make sure to read the paragraphs between the examples.

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