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Warm-up 1 
What is the approximate area of 
Mr. Paul’s room in square 
meters?
Warm-up 2: key words and symbols used in inequalities 
• Greater than 
• 
• 
• 
• 
• 
• 
• 
• 
•
Solving Quadratic 
Inequalities 
What it means to be less than a function
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.
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
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.
Area – from blue to red
Area – how many square meters 
is Ms. Ilonka’s room?

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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?