## Section 1.1 - Modeling and Equation Solv ing

**Essential Question(s):**

Explain what the three mathematical models are, their advantages and their disadvantages.

**Follow**__these four 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.

__Numerical Models__

- What is a mathematical model? (pg 70)
- What is a numerical model? (pg 70)

__Algebraic Models__

- What is an algebraic model? (pg 71)

__Graphical Models__

- What is a graphical model? (pg 72)

__The Zero Factor Property__

- Review how to solve an equation algebraically. (Ex 6 pg 74)
- What is the zero factor property? (pg 75)
- What are the fundamental connections with solving a function? (pg 76)

__Problem Solving__

- What are Polya's four problem-solving steps? (pg 76)
- What is the problem-solving process? (pg 76-77) (condense)

__Grapher Failure and Hidden Behavior__

- What is grapher failure? (pg 78)
- What is hidden behavior? (pg 78)

**STEP 3: Reading**

__Read__the following page and take any extra notes as needed.

__Copy__the following example(s) from the textbook.

- Read pages 70 - 80.
- Make sure to read the paragraphs between the examples.

Perform the same Gravity Experiment Galileo Galilei performed to discover that regardless of mass, two objects falling from the same height will hit the ground at the same time.