november 5, 2015 students will solve polynomial equations that are found in the real world. how do...

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Bell Ringer What are some effective methods/strategies you use to help you solve word problems? Factor the following expression:

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Page 1: November 5, 2015 Students will solve polynomial equations that are found in the real world. How do the solutions to the polynomials relate to the

Bell Ringer

What are some effective methods/strategies you use to help you solve word problems?

Factor the following expression:

Page 2: November 5, 2015 Students will solve polynomial equations that are found in the real world. How do the solutions to the polynomials relate to the

Real World PolynomialsNovember 5, 2015

Page 3: November 5, 2015 Students will solve polynomial equations that are found in the real world. How do the solutions to the polynomials relate to the

ObjectiveStudents will solve polynomial equations that are found in the real world.

How do the solutions to the polynomials relate to the real world situation?

Essential Question

Page 4: November 5, 2015 Students will solve polynomial equations that are found in the real world. How do the solutions to the polynomials relate to the

Mont St. Michel-First built in 966 (over 1000 years ago)-Held off a siege for 30 years during the 100 Year War-Connected to mainland via natural bridge that was covered by high tide most of the time before modern technology

Page 5: November 5, 2015 Students will solve polynomial equations that are found in the real world. How do the solutions to the polynomials relate to the

With Word Problems…

Read the question (without trying to solve anything!)Mark important information (highlight, underline, circle, etc.)Define your variables, if neededDraw a picture to help you visualize!Write your equation, if neededSolve the equation for each variableAnswer the question.Reread the question to make sure you have answered it.

Page 6: November 5, 2015 Students will solve polynomial equations that are found in the real world. How do the solutions to the polynomials relate to the

Volume

Samantha knows the volume of a box is 70 in3. It can be modeled by the expression . Determine the box’s length, width, and height in terms of x, then tell the box’s exact dimensions.

Page 7: November 5, 2015 Students will solve polynomial equations that are found in the real world. How do the solutions to the polynomials relate to the

Gas PricesThe average price of a gallon of gas at the beginning of each month from November 2010 to May 2011 are given by the table. The data is plotted in Figure 5.18 and are fitted with the following polynomial, where t is the number of months that have passed since October 2010.

Page 8: November 5, 2015 Students will solve polynomial equations that are found in the real world. How do the solutions to the polynomials relate to the

GardeningDustin is creating a garden in his backyard. Dustin wants the length of his garden bed to be seven yards more than twice the width of the bed. Bill also wants to create a border around the garden that is 2 yards wide.

What is the expression to represent the area of the gray border surrounding the garden bed? If the total area of the gray area is 80 square yards, what is the value of x? What is the area of the total garden?

Page 9: November 5, 2015 Students will solve polynomial equations that are found in the real world. How do the solutions to the polynomials relate to the

BoardwalkA boardwalk that is x feet wide is built around a rectangular pong. The pond is 30 feet wide and 40 feet long. The combined area of the pond and the boardwalk is 2000 square feet. What is the width of the boardwalk?

Page 10: November 5, 2015 Students will solve polynomial equations that are found in the real world. How do the solutions to the polynomials relate to the

Extinction A species of animal is introduced to a small island. Suppose the

population of the species is represented by , where t is the time in years. Determine when the population becomes zero.

Page 11: November 5, 2015 Students will solve polynomial equations that are found in the real world. How do the solutions to the polynomials relate to the

Parasites A population of parasites in an experiment can be modeled by , where t is the time in

days.

Use factoring by grouping to determine the values of t for which f(t)=0

At what times does the population reach zero?

Are there any values of t that are unreasonable? Explain.

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