2.6 solving quadratic inequalities (oct 23 pd1)
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This document contains information about various math topics including solving quadratic inequalities, modeling with quadratic functions, and calculating area by increasing the length and width of a room by the same amount. It discusses key terms used in inequalities, how certain events can be modeled by quadratic functions such as area and projectiles, and using the original dimensions of a room to determine how much to increase the length and width to add at least 20 square meters of area.
2.6 solving quadratic inequalities (oct 23 pd1)
- 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?