2.6 solving quadratic inequalities (oct 23 pd4)
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This document contains information about quadratic functions and their application to modeling area. It discusses how quadratic functions can be used to model projectile motion, profit, and area. It provides an example of using a quadratic area function to model increasing the size of a room by increasing its length and width equally by at least 20 square meters. The goal is to determine the dimensions needed for the increased room size.
2.6 solving quadratic inequalities (oct 23 pd4)
- 1. Warm-up 1 What is the approximate area of Mr. Paul’s room in square meters?
- 2. Warm-up 2: key words and symbols used in inequalities • Greater than • • • • • • • • •
- 3. Solving Quadratic Inequalities What it means to be less than a function
- 4. FYI: Aligned Common Core State Standards CCSS: Mathematics, CCSS: HS: Algebra, Creating Equations HSA-CED.A. Create equations that describe numbers or relationships HSA-CED.A.1. Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.
- 5. Modeling with quadratic functions Certain events are accurately modeled by quadratic functions. For example: • Area • Projectiles (objects shot up into the air which are pulled down by gravity) • Profit and loss
- 6. Area Ms. Ilonka wants her room to be increased in size by at least 20 square meters. She wants to increase the length and the width by the same amount. To model this, we need to know the dimensions of her room and then figure out by how much we need to increase the length and width.
- 7. Area – from blue to red
- 8. Area – how many square meters is Ms. Ilonka’s room?
- 9. Area - modeling the situation The function that describes the area of a rectangle is a quadratic function