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Algebra II - Are you Ready?

Algebra II - Are you Ready?

Assessment

Presentation

•

Mathematics

•

9th - 10th Grade

•

Medium

•
CCSS
HSF-IF.C.7D, 6.EE.B.7, HSF-IF.C.7A

+3

Standards-aligned

Created by

Peter Graywacz

Used 9+ times

FREE Resource

14 Slides • 12 Questions

1

Algebra II - Are you Ready?

Part I is over - now it's time for part 2

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2

Linear Functions

This year we talked about Linear Functions and other functions that came from them.

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3

Linear Absolute Value Functions

Linear absolute value functions are one of the functions we learned about from linear functions.

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4

Exponential Functions

Aside from lines, we talked about a curvy function known as the exponential function.

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5

Quadratic Functions

The next place to go is our other curvy friends: Quadratic Functions....

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6

Going Back to Go Forward

Lets review some key information.....

7

Key Structures:

  • y-intercept: where the graph crosses the y-axis

  • x-intercept: where the graph crosses the x-axis

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8

Multiple Choice

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Where is the y-intercept in this graph?

1

(0,2)

2

(4,0)

9

Multiple Choice

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Where is the x-intercept in this graph?

1

(0,2)

2

(4,0)

10

Key Features: Absolute Value

  • Vertex (corner point): where the graph turns from decreasing to increasing

  • Axis of Symmetry: an invisible line that cuts the graph into two equal halves through the vertex

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11

Multiple Choice

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Where is the vertex of this graph?

1

(0,3)

2

(3,0)

12

Multiple Choice

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Where is the axis of symmetry of this graph?

1

x = 3

2

x = 0

13

Open Ended

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Compare the linear function to the Quadratic - what do you notice about the x-intercepts?

14

Open Ended

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Compare the Linear Absolute Value Function to the Quadratic Function. What key feature(s) do they share?

15

Quadratics are the same!

Quadratics have all of these key structures too!

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16

3 forms of Functions

Linear functions have 3 different forms, each that give different advantages.

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17

Multiple Choice

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Which form of line is this?

1

Point-Slope Form

2

Slope-Intercept Form

3

Standard Form

18

Multiple Choice

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Which form of line is this?

1

Point-Slope Form

2

Slope-Intercept Form

3

Standard Form

19

Multiple Choice

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Which form of line is this?

1

Point-Slope Form

2

Slope-Intercept Form

3

Standard Form

20

Quadratics are the same!

Quadratics also have 3 forms of functions that have different uses!

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21

The Golden Rule of Algebra

Remember, solving doesn't go away!

22

X-intercepts AKA "Zeros"

Quadratics have a special structure called "Zeros". They are called this because they are where the quadratic equals 0!

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23

Fill in the Blanks

Solve this equation for x:  x−2=0x-2=0  



Type answer...

24

Fill in the Blanks

Solve this equation for x:  x+5=0x+5=0  



Type answer...

25

Fill in the Blanks

Solve this equation for x:  3x−6=03x-6=0  



Type answer...

26

Easy Right?

Well, it will get more challenging from there...but if you know the key structures, the rest will follow!

pattern-tertiary

Algebra II - Are you Ready?

Part I is over - now it's time for part 2

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