Unit 3 Day 4 SWBAT: simplify powers of - PowerPoint Presentation

Slide1

Unit 3Day 4

SWBAT: simplify powers of

i

, perform operations on complex numbers, graph complex numbers on the appropriate axis

Slide2

SWBAT: simplify powers of i, perform operations on complex numbers, graph complex numbers on the appropriate axis

Slide3

SWBAT: simplify powers of i, perform operations on complex numbers, graph complex numbers on the appropriate axis

Slide4

SWBAT: simplify powers of

i

, perform operations on complex numbers, graph complex numbers on the appropriate axis

Do Now

: (Page 11)

i

i

2

 

-1

i

Slide5

SWBAT: simplify powers of

i

, perform operations on complex numbers, graph complex numbers on the appropriate axis

Do Now

: (Page 11)

i

i

2

i

3

i

4

i

5

i

6

i

7

i

8

 

-1

-

i

1

i

4

·i

1

i

4

·i

2

 

-1

-

i

1

i

4

·i

3

i

4

·i

4

Slide6

SWBAT: simplify powers of i, perform operations on complex numbers, graph complex numbers on the appropriate axis

Slide7

SWBAT: simplify powers of i, perform operations on complex numbers, graph complex numbers on the appropriate axis

Slide8

SWBAT: simplify powers of i, perform operations on complex numbers, graph complex numbers on the appropriate axis

Slide9

SWBAT: simplify powers of i, perform operations on complex numbers, graph complex numbers on the appropriate axis

= i

12

● i

2

= i

4

●i

4

●i

4●i2

= 1●1●1●-1 =

-1

= i

4

● i3

= 1 ● -

i

= -

i

Slide10

SWBAT: simplify powers of i, perform operations on complex numbers, graph complex numbers on the appropriate axis

Slide11

SWBAT: simplify powers of i, perform operations on complex numbers, graph complex numbers on the appropriate axis

= 5(-1) + 2(1)

= -5+2

=

-3

= i

4

●i

4●i

4●i4

●i3

= 1●1●1●1●-i

= -

i

Slide12

SWBAT: simplify powers of i, perform operations on complex numbers, graph complex numbers on the appropriate axis

= i

36●i

3

= 1●-i =

-i

= 2i

4

●i1 + 7i

4●i3

= 2(1)(i

)+ 7(1)(-i)

= 2i +-7i =

-5i

= i

56●i

1 =

i

= 4i

12●i2

= 4(-1) = -4

Slide13

SWBAT: simplify powers of i, perform operations on complex numbers, graph complex numbers on the appropriate axis

Slide14

SWBAT: simplify powers of i, perform operations on complex numbers, graph complex numbers on the appropriate axis

Slide15

SWBAT: simplify powers of i, perform operations on complex numbers, graph complex numbers on the appropriate axis

(5,2)

(3,-2)

(-2,-4)

(0,-1)

( ½ ,1)

(

,-3)

 

a

b

d

e

f

(0 ,0)

g

(-1.5,0.707)

h

c

Slide16

SWBAT: simplify powers of i, perform operations on complex numbers, graph complex numbers on the appropriate axis

Slide17

SWBAT: simplify powers of i, perform operations on complex numbers, graph complex numbers on the appropriate axis

Slide18

SWBAT: simplify powers of i, perform operations on complex numbers, graph complex numbers on the appropriate axis

Slide19

SWBAT: simplify powers of i, perform operations on complex numbers, graph complex numbers on the appropriate axis

Slide20

SWBAT: simplify powers of i, perform operations on complex numbers, graph complex numbers on the appropriate axis

Slide21

SWBAT: simplify powers of i, perform operations on complex numbers, graph complex numbers on the appropriate axis

Slide22

SWBAT: simplify powers of i, perform operations on complex numbers, graph complex numbers on the appropriate axis

Slide23

SWBAT: simplify powers of i, perform operations on complex numbers, graph complex numbers on the appropriate axis

Slide24

SWBAT: simplify powers of i, perform operations on complex numbers, graph complex numbers on the appropriate axis

Slide25

i12 + i5

i

12

+ i5

i

17

-i

PHOEBE

1 + i

JAXON