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8 NS L2 existance of square and cube roots.notebook
LT: I will write and solve equaƟons
having square and cube roots.
January 30, 2016
EQ: Does every number have a
square root and a cube root?
C
C3B4UCME
M by permisson only
S
1
8 NS L2 existance of square and cube roots.notebook
January 30, 2016
Complete opening exercises pg. 11.
C
H
A
M
P
S
voice: L1 task related
C3B4UCME
A/B partner
by permisson only
persevere, engaged
task completed
2
8 NS L2 existance of square and cube roots.notebook
January 30, 2016
n
not to be confused with )
3
8 NS L2 existance of square and cube roots.notebook
make a table in your
journal for your
reference.
January 30, 2016
x
x2
x3
1
1
1
2
4
8
3
4
5
6
7
8
9
10
4
8 NS L2 existance of square and cube roots.notebook
January 30, 2016
5
8 NS L2 existance of square and cube roots.notebook
January 30, 2016
6
8 NS L2 existance of square and cube roots.notebook
January 30, 2016
Example:
x2=36
a. explain the first step.
Take the square root of both sides of the equality.
b. solve the equaƟon and check your answer.
√x2=√36
C
x=√36
x=6
because 62=36
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8 NS L2 existance of square and cube roots.notebook
January 30, 2016
Example
a. Explain the first step
take the cube root of each side of the equality.
b. Solve the equaƟon and check your answer.
x= 8
x= 8
C
x=2 because23=2(2)(2)=8
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8 NS L2 existance of square and cube roots.notebook
Example:
split it apart
rewrite the negaƟve exponent as its
posiƟve reciprocal
opƟonal step
January 30, 2016
square root each side of the equality
simplify the radicals
C
M
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8 NS L2 existance of square and cube roots.notebook
January 30, 2016
I first took the square root of each side of the
equality.
I showed each step.
I checked my answer.
C
Assignment: Lesson 3 pg. 12-14
exercises 1-9; problem set 1-9
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8 NS L2 existance of square and cube roots.notebook
January 30, 2016
Exit Ticket
Find the positive value of x that makes each equation true. Check your solution.
1 x2 = 225
a. Explain the first step in solving this equation.
b. Solve and check your solution.
2 x3 = 512
3 x2 = 361-1
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8 NS L2 existance of square and cube roots.notebook
January 30, 2016
Complete exercises 1-9 and problem set 1-9.
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8 NS L2 existance of square and cube roots.notebook
January 30, 2016
Close: every posiƟve number has a square root. We can solve equaƟons
having square root soluƟons by taking the square root of both sides.
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8 NS L2 existance of square and cube roots.notebook
January 30, 2016
Know that there are numbers that are not rational, and approximate them by rational
numbers.
1. Know that numbers that are not rational are called irrational. Understand informally that every number
has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually,
and convert a decimal expansion which repeats eventually into a rational number.
2. Use rational approximations of irrational numbers to compare the size of irrational numbers, locate
them approximately on a number line diagram, and estimate the value of expressions (e.g., π2).
Work with radicals and integer exponents.
2. Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 =
p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots
of small perfect cubes. Know that √2 is irrational.
LT: I will write and solve equaƟons having square and cube roots.
EQ: Does every number have a square root and a cube root?
14
8 NS L2 existance of square and cube roots.notebook
January 30, 2016
LT: I will write and solve equaƟons having square and cube roots.
EQ: Does every number have a square root and a cube root?
4 min: Identify the slope and y-intercept of several equations
4 min: vocabulary game: where is the slope in the equation?
6 min: completing a table; determine slope from data in a table
3 min: creating a graph using the y-intercept and slope
3 min: exit ticket
12 min: guided practice
1 min: close
1 min: pack up
home
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