Polynomials Choieboard

Polynomial Choice Board Directions: Choose 1 Appetizer from the menu, once completed show the teacher to move on to the Entrée. Choose 1 activity from the Entrée, once completed get approval to move on to the dessert. Choose 1 Dessert and complete the activity. Appetizer (25 points) Entrée (50 points)

Option 1: Polynomials Vocabulary Option 2: Match Example and Method Option 1: Create a Mind Map Option 2: Google Slides Option 1: Area of a Rectangle

Dessert (25 points)

Option 2: Graph to equation Option 3: Application of Two Cars Driving

Polynomial Choice Board Appetizer: Polynomials Vocabulary Using and reading through the mathisfun.com website, summarize the definitions of each term and give an example of each term. Term

Definition

Example

Monomial

Binomial

Polynomial

Degree of a Polynomial

FOIL Method

Square of a Sum

If you are having trouble with the live link, copy and paste the following URL to your web browser: https://www.mathsisfun.com/algebra/polynomials.html

Polynomial Choice Board Appetizer: Match Example and Method Vocabulary List Binomial Constant Degree of Polynomial Degree of Monomial Degree of Binomial Difference of two squares

FOIL Method Monomial Polynomial Trinomial Power of a Power Power of a Product

Power of a Quotient Product of Powers Quotient of Powers Zero Exponent Negative Exponent

Using the Vocabulary list given above, match the examples with its correct methods. Note: Some of the examples match with more than one term and not all the terms are used for this exercise.

1. 7"# =

% &'

2. (𝑥 * ), = 𝑥 -. 3. 9𝑥 0 4. 2𝑥 - − 48𝑥 + 74 5. 5. = 1 6.

,8 ' 9 %,8 : 9 ;

=

8; 09 <

7. 9𝑥 0 − 2𝑥 - + 48𝑥 − 74 8. (𝑥 = 𝑦)(4𝑥 0 𝑦 # ) = 4𝑥 %- 𝑦 & 9. (𝑥 − 2)(𝑥 + 6) = 𝑥 - − 2𝑥 + 6𝑥 − 12

Polynomial Choice Board Entrée: Create a Mind Map Using mindmeister.com, create a Mind Map with the main idea being Polynomials. Use at least 5 of the vocabulary words below in your Mind Map, including definitions and examples of each. Vocabulary List Binomial Constant Degree of Polynomial Degree of Monomial Degree of Binomial Difference of two squares

FOIL Method Monomial Polynomial Trinomial Power of a Power Power of a Product

Power of a Quotient Product of Powers Quotient of Powers Zero Exponent Negative Exponent

If you are having trouble with the live link, copy and paste the following URL to your web browser: https://www.mindmeister.com/

Polynomial Choice Board Entrée: Google Slides Using Google Slides, create a presentation demonstrating your understanding of one of the concepts of Polynomials given below. This presentation should be designed as if you were going to teach other students. You are able to gather information from your textbook, online resources we have discussed in class, and online resources found on my webpage. However, you MUST cite your sources. For example, if you find a graph or an equation on a website, you must reference the website. Choose one of the following Polynomial concepts: Binomial Constant Degree of Polynomial Degree of Monomial Degree of Binomial Difference of two squares

FOIL Method Monomial Polynomial Trinomial Power of a Power Power of a Product

Power of a Quotient Product of Powers Quotient of Powers Zero Exponent Negative Exponent

If you are having trouble with the live link, copy and paste the following URL to your web browser: http://docs.google.com/presentation/u/0/

Polynomial Choice Board Dessert: Area of a Rectangle The length of the rectangle is 9 units longer than the width. Write an expression which best represents the area of the rectangle. Step 1: Draw a diagram of the rectangle and label the length and width.

Step 2: Write an expression for the length of the rectangle and an expression for the width.

Step 3: The area of a rectangle is given by A= lw. Write an expression for the area of the rectangle.

Polynomial Choice Board Dessert: Graph to equation Write an expression for the graph given below.

Step 1: What is the point of the x-intercept?

Step 2: What is the point of the y-intercept?

Step 3: What is the slope?

Step 4: Write the expression of the graph in terms of x and y.

Polynomial Choice Board Dessert: Application of Two Cars Driving Two cars leave at the same time and both are driving to Fullerton. The cars’ distance from Fullerton (in miles) is represented by the two equations below, where t represent time in hours. (Assume the cars are driving at a constant speed.) Car A: A = 67t + 12 Car B: B= 60t + 18 a) Which car is faster? Explain.

b) How far did Car A travel in 3 hours?

c) Write the expression which shows the distance between the two cars.