Agenda March 24, 2009 (Week 11)

Take your folder, remove your homework.

Write the submitted
homework number on the

inside cover with your new homework

Section 3-5 Fractions
and Decimals, and the

volume of a Sphere

Section 3-6 Square
Roots and Pythagorean

Theorem

Reminder: bring
notebook everyday to this class

3-5 Fractions and Decimals, and the Volume of a Sphere

Objective:

Convert fractions to decimals

Convert decimals to
fractions

Simplify expressions
containing fractions and

decimals

Solve applications
involving fractions and decimals

Converting fractions
to decimals

Examples: Write ¾, 3/5
as decimal

Examples: repeated
decimals 11/12, 5/11

Converting decimals to
fractions

Examples: write 0.38,
0.48, 0.75, 0.025, 12.8 as a fraction in

lowest terms

Examples: write 15.6,
and 12.8 as a mixed number

Problems involving both Fractions and Decimals

Simplify
(19/50)(1.32+0.48)

Simplify
(14/25)(2.43+0.27)

Simplify 1/4 +
(0.25)(3/5)

Simplify
(1/2)^{3}(2.4)+(1/4)^{2}(3.2)

Applications:

If a shirt that
normally sells for $27.99 is on sale for 1/3 off, what

is the sale price of the shirt?

Find the area of a
triangular stamp with base 2 and 5/8 inches,

and height = 1 and ¼ inches.

The volume of a sphere
is (4/3)π(radius)^{3}
= (4/3)πr^{3
}

A figure is composed
of a right circular cylinder with half

a sphere on top. (a half-sphere is called a **hemisphere**)

find the volume of this figure with radius = 5 inches,

height = 10 inches, round to the nearest tenth

Guided Practices and Homework # 22

To
convert fractions to decimals, do we multiply or divide

the numerator by the denominator?

The decimal 0.13 is
equivalent to what fractions?

Write 36 thousandths
in decimal form and in fraction

form

Explain how to write
the fraction 84/1,000 in lowest terms.

Homework # 22, pp
265-270, #1-7 odd, 9-49 EOO, 51-

87 EOO.

3.6 Square Roots and the Pythagorean Theorem

Objective: Find square
roots of numbers

Use decimals to
approximate square roots

Solve problems with
the Pythagorean Theorem

Definition: if b^{2}=
a, then
, and is read as b is the

square root of a. The symbol is called radical symbol,

and a is called radicand.

Examples of square
roots on the board.

Simplify a radical
expression means to remove perfect

square from the radicand

Examples of
simplifying the radical expression on the

board and approximations

Facts from Geometry: The Pythagorean Theorem

A right triangle is a
triangle that contains a 90°(or right)

angle. The longest side in a right triangle is called the

hypotenuse, we use the letter c to denote it. The two

shorter sides are denoted by the letter a and b (they are

called legs)

The Pythagorean
Theorem stated that c^{2}= a^{2}
+ b^{2
}

Applications of
Pythagorean Theorem, examples on

the board

A ladder is leaning
against the top of a 6-foot wall. If the

bottom of the ladder is 8 feet from the wall. How long is

the ladder?

Example of Spiral of
roots

8Guided Practices and Homework # 23

Which number is
larger, the square of 10 or the

square root of 10?

Give a definition for
the square root of a number?

What two numbers will
the square root of 20 fall

between?

What is the
Pythagorean Theorem?

Homework #23, page
277-282, # 1-39, # 41-45

ODD, # 47-63 EOO, 67-75 ODD