Alg2 Notes 6.1 and 6.2
Download
Report
Transcript Alg2 Notes 6.1 and 6.2
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
64 3 13 26
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
729 6 36
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
84 3
2. Find the prime factors of the base
3. Simplify powers
4. Simplify
8
4 3
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
PS 6.1 pg.417 #7, 11, 27-45 odds
3 4
8
4 3
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
x 6 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.
P 75 1.21
19
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
7 6 3 53 6 7 2 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
2 7 12
b.
c.
5
23
2
9 12
23
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
6m2 n5
6.1 & 6.2 Example 6: Write radicals in simplest form.
f.
a3
2
3 6
b
b
3
a9
7 x
g.
h.
i.
j.
4
4 3 2
1
y
3
z
7 5
7x5 2 y 3 z 2
a 2 b 2 4 a 2b2 4 a 2b2
8
2
6
2
b
b
b b
10 6 5
y 45 y
3 4 a2b1 4 7a2b1 4
PS 6.2 pg.424 #7, 11, 15-25, 29, 35, 41-49, 53-61 odds