Class Reminders for new kids to class and review for returning students

1. My web site “teacher calendar” has notes, homework, answers keys, and DYGI practice

2. HW is graded considering: • Completed by due date• Completion WITH WORK SHOWN• Completed in pencil• Graded in red pen…I want a check next to every correct problem and an X on every problem

you missed….it is up to you how you want to correct the problem

3. TC can earn up to 10% - follow directions on form – if incorrect “corrections” – you may not be earning all 10 % back…Get in by the due date stamped on original

4. Retests must be done by due date stamped on the original test. Earn up to a max of 70%

5. Tips for success in this class:• Pay attention, take thorough notes, and ask questions during lessons• Study for first set of quizzes and tests so you don’t get on redo time-consuming cycles• Do HW and THEN check answers. Rework problems missed.• Ask questions in class or tutoring- PRIOR to quiz day - on concepts you are struggling with

6. Stay in your assigned seat until the bell! IN SEAT!!!!!!!!

7. Bathroom pass may be used before or after the lesson. One at a time out of the room!

8. HW, Quizzes, and tests are to be worked in pencil! Your notes are up to you! (-10 or redo)

Day 1 : Laws of Exponents

ReviewBook sections 7.1 and 7.4

a0 = 1 b-1 = (am)(an) = am + n

= am – n (ab)m = ambm

Do not copy:

Roots and Rational Exponents

If

Then

New Law: Rational Exponents

= 3

Roots and Rational Exponents

If

Then

New Law: Rational Exponents

You may choose whether to find the root

or the power first!

You may choose whether to find the root

or the power first!

Simplify Exponents with Fractions

1.

2.

3.

You try on your marker board

The teacher will show you 10 problems on the smart board. The student will rearrange the form of the equation from:

Exponential to Radical

or

Radical to Exponential

on the student’s marker board.

2

1

x

Convert from Exponential to Radical (marker board)

5

2

a

3

1

1

c

3

2

9

2

3

3

x

25 a

31

c 3 c

23 9 3 81

3 327 3 33

33 27

39

33

Everyone to marker board and work with your number partner

c

Convert from Radical to Exponential (marker board)Don’t simplify anything!

3 m

23 4

3 24

23 8

2

1

c

3

1

m

3

2

4

3

2

4

3

2

8

Back to Notes: Simplify ExponentialsAssume all variables are positive

4. 5.

6. 7.

2

7

f

ff 3

3

2

642

3 6424 16

23

3

2

k

k

9

8 2

3

k

k k9

8

103 98 ff

1372 f

2

13f

Simplify Radicals8. 9.

10. 11. 12.

3 125

106425 zyx

5

4

5

5

5

54

3 555

5

5325 zyx 25x

5x

3 756332 rqpm

3 26363 48 rqrqpm

3 222 42 rqqrmp

Practice Laws of Exponents

13. 14.

262

1296

16

8

cba

cba

2

1034 cba

)9(

44

60

m

hg

6

4

9

4

h

m

More Simplifying with exponentsAssume all variables are positive

15. 16.

17. 18.

323

5 32

8

21

x 2

1

1

x

x

1

x

x

x

x

64

3

16

1y

6

4 316

1y

8

6y

5

2

1

32

1

30-60-90 Right Triangle

2x

60°

60°

60°

45-45-90 Right Triangle

X

THEN

49142 xx

1. Simplify 2. Find x 3. Find x 4. Simplify 5. Simplify.

)5()3( 32220 bcba

xq

q

q

2

1

3

7

4 816y

Extra Practice on HW 7.1: Work this out in your math notebook.

Assume all variables are positive.

32

64

49142 xx

1. Simplify 2. Find x 3. Find x 4. Simplify 5. Simplify.

)5()3( 32220 bcba

xq

q

q

2

1

3

7

4 816y

Extra Practice on HW 7.1: Work this out in your math notebook.

Assume all variables are positive.

32

64

22y4

745

c

b

6

11x 16

17x

6. Simplify. 7. Simplify. 8. Simplify. 9. If 4 is the leg of a 45-45-90 triangle, find the other sides.

10. Simplify.

Extra Practice on HW 7.1: Work this out in your math notebook.

Assume all variables are positive.

5

3

3

17

v

3 11554 wx 293

2720

10

5

cb

cba

1

2

1

3

6. Simplify. 7. Simplify. 8. Simplify. 9. If 4 is the leg of a 45-45-90 triangle, find the other sides.

10. Simplify.

Extra Practice on HW 7.1: Work this out in your math notebook.

Assume all variables are positive.

5

3

3

17

v

3 11554 wx 293

2720

10

5

cb

cba

424

1

cb

4.3

5 23

5

17

v

not

vv

or

v

3 223 23 xwxw

424 and3

3

1

2

1

3

HOMEWORK 7.1 due next class!!!

33 Questions