Algebra 2: New Groups 3rd 3 Period
For Each Group Leader we need a balanced team of learning
styles, so split up the rest of the numbers evenly.
John Ferguson
(Visual)
1.Auditory/Kinesthetic
2.Reading
3.Kinesthetic
4.Kinesthetic
5.Reading
Caleb Mattox
(Kinesthetic)
Austin Wood
(Auditory)
6.Reading/Auditory/Kinesthetic
7.Auditory
8.Kinesthetic
9.Visual
10.Visual
Algebra 2: New Groups 2nd B Period
For Each Group Leader we need a balanced team of learning
styles, so split up the rest of the numbers evenly.
Nancy Alvarado-Flores
(Kinesthetic)
Lucas Marchand
(Kinesthetic)
1.Auditory/Kinesthetic
2.Kinesthetic
3. Kinesthetic
4.Auditory
5. Kinesthetic
6.Auditory/Kinesthetic
7. Kinesthetic
Carlos Auces
(Kinesthetic)
Lindsey Mason
(kinesthetic)
Danycia Riley
(Visual/Auditory)
8.Reading
9.Visual
10. Kinesthetic
11.Reading
12. Kinesthetic
13.Auditory/Kinesthetic
14. Kinesthetic
Forrest Christensen
(Reading)
Sarabeth Trinidad
(Visual)
15.Visual
16. Kinesthetic
17.Kinesthetic
18.Reading
19.Reading
20.Kinesthetic
Algebra 2: New Groups 3rd B Period
For Each Group Leader we need a balanced team of learning
styles, so split up the rest of the numbers evenly.
Tyler Green
Katie Kelly
Jared Lewis
(Visual)
(Kinesthetic)
(Reading/Auditory)
1.Auditory/Kinesthetic
2.Visual/Reading
3.Visual
4.Kinesthetic
5.Auditory
6.Visual/Reading
7.Visual
8.Auditory/Kinesthetic
9.Kinesthetic
10.Kinesthetic
11.Kinesthetic
12.Auditory/Kinesthetic
13.Kinesthetic
Algebra 2: Notes 6.1 & 6.2:
Evaluate nth Roots, Use Rational Exponents, and Apply Properties of
Rational Exponents. GOALS: “”
What are the properties of exponents?
6.1 & 6.2 Example 1: Find the indicated real nth root(s) of a.
3
1. Rewrite as a radical
64
2. Find the prime factors of the # inside
64  3 1 2  2  2  2  2  2
3
3
6
3
64  1  2
3. Divide the power by the root
64   1
3
3
4. Simplify
3
64  4
 2
6
3
729
2. Find the prime factors of the # inside
3
3
6
1. Rewrite as a radical
6
729  6 3  3  3  3  3  3
6 6
6
729  3
3. Divide the power by the root
  1  2 
1
2
6
729   3
4. Simplify
6
729  3
6
6
  3
1
6.1 & 6.2 Example 2: Evaluate an expression w/rational exponents.
1. Get positive exponents
4 3
8
1
 43
8
1. Get positive exponent & write as a
radical
1
8 4 3 
2. Find the prime factors of the base

3. Simplify powers
4. Simplify
4 3
8
1
2 
3 43
1
 4
2
1

16
3
84
2. Find the prime factors of the # inside
1

3
2 
3. Multiply powers & divide the power by
the root
1
1

12 3
2
4. Simplify
4 3
PS 6.1 pg.417 #7, 11, 27-45 odds
3 4
8
1

16

24
6.1 & 6.2 Example 3: Solve equations with nth roots.
1. Isolate exponent
2 x 6 1458

2
2
x 6  729
2. Take the root of both sides.
6
x6   6 729
x  3
1. Isolate exponent
 x  4
3
 12
2. Take the root of both sides.
3
3
x

4

12


3
x  4  3 12
3. Solve for x
x  4  3 12
4 4
x  4  3 12
x  1.71
6.1 & 6.2 Example 4: Problem Solving with nth roots.
1. Write model for population
P  C 1.21
t 3
2. Substitute for C & t.
19
P   751.21
3
3. Simplify
P  250.82
PS 6.1 pg.417 #49-57 odds
6.1 & 6.2 Example 5: Use properties of exponents and radicals.
1 3 
54

2 4
9
9
76 3  53 6  72  51 2  49  51 2
 5 27  9  5 243  5 35  3
192

 3 64  4
3
3
6.1 & 6.2 Example 6: Write radicals in simplest form.
5

2
4
 2  2 2  2 2
5
a.
7
5
2
5
2
23
23
2

7
12

9
12

   
b.
c.
24  3  4 3  2 4 3  4 3  4 3
4
d.
e.
5
 2 x
5
5
12
36
15
 2x3
 m  n 
42
10 2
 6m2n5
6.1 & 6.2 Example 6: Write radicals in simplest form.
f.
a3
 2
3 6
b
b
3
a9
7 x  4 3 2 
g.
i.
j.
4
y  3
z  7 5 
 7x5 2 y 3 z 2
2 2
4 2 2
a
b
ab
a b  4

8
2
6
2
b
b
b b
2
h.
1
2
10  6 5 y  4 5 y
 3  4  a 2b1 4  7a 2b1 4
PS 6.2 pg.424 #7, 11, 15-25, 29, 35, 41-49, 53-61 odds