4-1 Intro to Quadratics.notebook - Moore Public Schools · 41 Intro to Quadratics.notebook 12...
Transcript of 4-1 Intro to Quadratics.notebook - Moore Public Schools · 41 Intro to Quadratics.notebook 12...
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41 Intro to Quadratics.notebook
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September 20, 2017
Sep 147:45 PM
Wednesday, September 20
Sit in your seat number with the group I have you in.
Get your calculator
Sep 267:34 AM
Bell WorkFind two numbers that multiply together to get the top number and add to give you the botttom number.
30
11
8
2
12
7
1. 2. 3.
Good Morning!!!
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41 Intro to Quadratics.notebook
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September 20, 2017
Sep 197:53 AM
Safety Procedures
Fire report to practice field on 45 yard line. Go down stairs but out south door.
Severe Weather Go to new building room 772
Evacuation Go to main football field. Go into stadium on North side sit on West 45 yard line
Sep 209:00 AM
TAA today
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41 Intro to Quadratics.notebook
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September 20, 2017
Sep 147:59 PM
CHAPTER 4 BIG IDEASGraphing and writing quadratic functions in several forms
Solving quadratic equations using a variety of methods
Performing operations with square roots and complex numbers.
Aug 231:22 PM
Section 4-1
Introduction to Quadratic Functions
Wednesday, September 20
Objective: Compare graphs of several functions to the graph of y =x2
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41 Intro to Quadratics.notebook
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September 20, 2017
Sep 1310:45 AM
Table of Contents
41 Intro to Quadratic functions
page #date title
Sep 812:16 PM
Complete Investigation with your group
Parabolas
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41 Intro to Quadratics.notebook
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September 20, 2017
Sep 812:20 PM
Press forNerdy Norm
Story
Sep 1811:04 AM
Desmos.com
Download free App
Press to Go To
https://www.desmos.com/
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September 20, 2017
Sep 285:20 PM
Graph f(x) = x2Graph f(x) = x2 + 3Graph f(x) = x2 5
How does the changing the value of k affect the graph?
Investigation: Families of Parabolasy = a(x h)2 + k
Sep 285:20 PM
Graph f(x) = x2Graph f(x) = (x + 2)2 Graph f(x) = (x 4)2
How does the changing the value of h affect the graph?
Investigation: Families of Parabolasy = a(x h)2 + k
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41 Intro to Quadratics.notebook
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September 20, 2017
Sep 285:20 PM
Graph f(x) = x2Graph f(x) = x2
How does the changing the value of a to a negative affect the graph?
Investigation: Families of Parabolasy = a(x h)2 + k
Sep 285:20 PM
Graph f(x) = x2Graph f(x) = 4x2 Graph f(x) = x2 14
How does the changing the value of h affect the graph?
Investigation: Families of Parabolasy = a(x h)2 + k
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41 Intro to Quadratics.notebook
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September 20, 2017
Aug 231:32 PM
Joke of the day!
What runs around a yard without actually moving?
A fence.
Sep 148:43 PM
On 3x5 index card answer the following questions:
1) What happens to the parabola when the "a" value is a fraction?
2) Describe what happens to the parabola from the form of y = x2 is written as y = x2 + 3
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41 Intro to Quadratics.notebook
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September 20, 2017
Sep 285:15 PM
Parent Function for Quadratic FunctionsParent Function is f(x) = x2Vertex is the lowest or highest point on a parabola, on the parent function it is (0,0)Axis of Symmetry divides the parabola into mirror images and passes through the vertex.
Sep 285:20 PM
Graph f(x) = x2
Vertex: ______
Axis of symmetry:
_____________
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September 20, 2017
Sep 285:22 PM
Properties of standard form of y = ax2 +bx + c
The graph is a parabola.
Sep 285:22 PM
Properties of standard form of y = ax2 +bx + cThe graph is a parabola.
If a > 0, the graph opens up.If a
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41 Intro to Quadratics.notebook
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September 20, 2017
Sep 285:22 PM
Properties of standard form of y = ax2 +bx + cThe graph is a parabola.If a > 0, the graph opens up.If a
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41 Intro to Quadratics.notebook
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September 20, 2017
Sep 285:22 PM
Properties of standard form of y = ax2 +bx + cThe vertex is a minimum if the graph opens up.The vertex is a maximum if the graph opens down.
The graph is narrower if |a| > 1.
The graph is wider if |a| 1.The graph is wider if |a|
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September 20, 2017
Sep 285:28 PM
Graph y = 2x2 8x + 6
vertex :
Axis of symmetry :
yintercept:
max or min:
max or min value:
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Sep 285:28 PM
Graph y = 2x2 + 6x + 3
vertex :
Axis of symmetry :
yintercept:
max or min:
max or min value:
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September 20, 2017
Sep 2510:08 AM
Assignment:
Worksheet
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Sep 2611:02 AM
1. y = 3x2 + 1
a. opens up or down
b. vertex:
c. axis of symmetry:
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September 20, 2017
Sep 2611:04 AM
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Attachments
ParabolaStoryNerdyNorm[1].ppt
TAA Sept 20.notebook
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Nerdy Norm
y=x²
Meet Norm. This is him on a typical day.
Today he is planning to go to the zoo.
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Norm Flipped
Once Norm Got to the zoo he decided to see the ostrich, but it kept it’s head buried the whole time. He tried it to ,but it just gave him a headache. After that he……
y=-x²
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Went to go see the alligator, sadly he fell in the water and became known as Low Norm.
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Left Norm
y=(x+3)²
After getting out of the alligator pit, and drying off he decided to go a little smaller, so he went to the bug exhibit. He was so terrified of spiders that he ran plum to the other side of the zoo and became known as Left Norm.
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y=(x-3) ²+4
High Right Norm
After running across the zoo Norm was out of breath. He stopped for a break when he saw balloons for sale. He must have bought one too many though because he floated a way!
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High Norm
Norm was flying over the bear exhibit when one of the balloons popped. Luckily he managed to land in a tree. He became known a high Norm.
y=x²+3
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Right Norm
The zookeepers saw Norm in the bear pen so they got a net. There was a tug of war but the right side won, and Norm was rescued.
y=(x-2) ²
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Skinny Norm
y=2x²
Norm decided to go see the elephant since they are vegetarian, and he wouldn’t be eaten. The elephant sat on him though and he became known as skinny norm.
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Fat Norm
Norm was starting to get hungry so he went to go get something to eat. Turns out it was animal food and he had an allergic reaction.
y=1/3x²
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Sideways Norm
x=y²
After Norms allergic reaction he was rushed to the hospital. He was told to rest for a couple of days. He decided that next weekend he would stay home and watch T.V where it is safe.
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SMART Notebook
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