Unit 6 Quadratic Word Problems

[Pages:12]MPM 2DI: 2010-2011

UNIT 6

QUADRATIC WORD PROBLEMS

Date Day 3: Tue Feb 22 Day 4: Wed Feb 23 Day 1: Thu Feb 24 Day 2: Fri Feb 25 Day 3: Mon Feb8 Day 4: Tue Mar 1 Day 1: Wed Mar 2 Day 2: Thu Mar 3 Day 3: Fri Mar 4 Day 4: Mon Mar 7 Day 1: Tue Mar 8 Day 2: Wed Mar 9 Day 3: Thu Mar 10 Day 4: Fri Mar 11

Day 1: Mon Mar 21 Day 2: Tue Mar 22

Pages 2-3 4-5 6-7 8-9 10-11

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4.6 4.7 4.7

Title Quadratic Word Problems

Practice Handout

Quadratic Word Problems Page 391-393 #11, 14, 15, 18, 20

Quadratic Word Problems Page 404-407 #12, 14, 16, 17, 18

Quadratic Word Problems Page 404-407 # 19, 24-28

Review

Handout

Test

Quadratic Word Problem Assignment

MARCH BREAK

Quadratic Word Problem Assignment

LEARNING GOAL:

In this unit, we will focus on PROBLEM SOLVING related to applications of quadratic equations.

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QUADRATIC WORD PROBLEMS

Determining Maximum and Minimum Values

Example 1 A model rocket is launched from the roof of a building. Its flight path is modeled by h = -5t 2 + 30t + 10 where h is the height of the rocket above the ground in metres and t is the time after the launch in seconds.

What is the rocket's maximum height?

Example 2

A rectangular field will be fenced on all four sides. There will also be a line of fence across the field, parallel to the shorter side.

If 900 m of fencing are available, what dimensions of the field will produce the maximum area? What is the maximum area?

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Example 3 Tickets to a school dance cost $4 and the projected attendance is 300 people. For every $0.10 increase in ticket price, the dance committee projects that attendance will decrease by 5. a) Determine the dance committee's greatest possible revenue.

b) What ticket price will produce the greatest revenue?

Homework Page 391-393 #11, 14, 15, 18, 20

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QUADRATIC WORD PROBLEMS

Solving Quadratic Equations Example 1 A water balloon is catapulted into the air so that its height h, in metres, after t seconds is h = -4.9t 2 + 27t + 2.4 a) How high is the balloon after 1 second? b) For how long is the balloon more than 30 m high?

c) What is the maximum height of the balloon?

d) When will the balloon burst as it hits the ground?

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Example 2 Nancy walks 15 m diagonally across a rectangular field. She then returns to her starting position along the outside of the field. The total distance she walks is 36 m. What are the dimensions of the field?

Homework Page 404-407 #12, 14, 16, 17, 18

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Example 1

QUADRATIC WORD PROBLEMS

Solving Quadratic Equations

A rectangular lawn measuring 8 m by 4 m is surrounded by a

flower bed of uniform width. The combined area of the lawn and the flower bed is 165 m2. What is the width of the flower bed?

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