with annotations from 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
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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