What is the hypotenuse of right triangle XYZ

1
What is the hypotenuse of right triangle XYZ?
Math Message
Here's what we said!
5 students said angle X
0 students said angle Z
hypotenuse
8 students said side YZ
9 students said side XZ
hypotenuse -
the side of a right triangle opposite the right
angle.
2
How do I change an improper fraction to a mixed
number?
improper fraction
mixed number
1
5
Numerator
2

_
_
2
Denominator
That will give you your Whole Number!
REMAINDER NUMERATOR
The denominator will remain the same!
Step 1
Divide
Denominator into the numerator
3
Mental Math
CHANGE IT TO A MIXED NUMBER
1
9
4

_
_
2
2
7
1
3

_
_
2
2
6
2

_
3
2
14
4
1
1

_

_
_
5
10
10
4
Vocabulary Review

• Commutative Property
• AKA the turn-around property
• A B B A
• General Pattern
• rules that describe patterns.
• Special Case
• when you substitute a
• particular number for
• the variable in a
• general pattern.

X 2 5
3 2 5
5
More Vocabulary

• Algebraic expression - a group of symbols that
  states a relationship between quantities and
  contains at least one variable.
• Kim weighs 10 pounds less than Mike.

REPRESENTS Kims Weight
algebraic expression
M - 10
6
and More Vocabulary

• formula a general rule for finding the value of
  something.
• Some Familiar Formulas

Formula for the perimeter of a square P 4 s
Formula for the perimeter of a parallelogram A
b h
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Our Goals

• Beginning Goal Use variables to describe
  general patterns.
• Developing Goal Write algebraic expressions and
  formulas.
• Secure Goal Convert between fractions and mixed
  numbers.

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Mr. Brennans class has twice as many Box Tops
as Mr. Morgans class.

• If M the number of Box Tops that Mr. Morgans
  class has.
• Then, 2 M represents the number of Box Tops
  that Mr. Brennans class has.
• 2 N
• Whats another way to represent 2 N?
• 2N

9
If a large pizza costs 3.75 more than a small
pizza, then a large pizza costs?

• D 3.75

If Jimmys puppy is 12 months older than his
gerbil, then his gerbil is _____________ months
old.
P - 12
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Flexible Groups

• w/ Mr. B _at_ the horseshoe
• Alex
• Jon
• Gabrielle
• Alicia
• Mike P.
• Ernie
• Nick

• Partners
• Amy and Ryan
• Matt and Breanna
• Marisa and David

Everyone else is working independently at your
own desk
11
Rename each fraction as a whole or mixed number.
1

• 1.)
• 2.)
• 3.)

5
2
_

2
_
2
2
12
2

_
_
5
5
1
6
1

_
_
5
5
12
Write a special case for each general pattern
4
)
5
Y
4
(
3
)
(
2


Y
Y

4
4


5
1
2
5
5

a
a


_
2
13
Part C Write a general pattern for the group of
special cases.

• ( 8 8² ) 4 8³ 4
• (12 12²) 4 12³ 4
• ( 4 4² ) 4 4³ 4
• (n n²) 4 n³ 4
• (any variable is O.K.)

6
14
Write a number sentence with two variables for
each general pattern.
7
y
y
y
)
1
(
2
)
1
(


_
_

_
_
_
z
z
z
15
Jason sleeps for y hours every night. Ben sleeps
2 hours longer than Jason. How many hours does
Ben sleep?
8

• B y 2

..zzZ
16
A hot air balloon rose to an elevation of e
feet. After several hours, it decended 50 ft.

9
e feet
What is the balloons elevation?
50 feet
B e - 50
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A b h
10

• b 11 inches
• h 8 inches
• Find the area of the rectangle.

A
b
h
11
8


A
88
²

in.
18
What is the circumference of a circle with a
radius of 3 inches?
11

• C 2 3.14 r
• C 2 3.14 3
• C 6.28 3

C
18.84 inches
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Circle the formula that best describes the rule
12

• A B 0.40
• B A 0.40
• A B 0.40

20
4 Sight BaselineReview

• Mr. Brennans Class
• Class of 2013

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What is the hypotenuse of right triangle XYZ?
Here's what we said!
5 students said angle X
0 students said angle Z
hypotenuse
8 students said side YZ
9 students said side XZ
hypotenuse -
the side of a right triangle opposite the right
angle.
22
What is the measurement of angle VUT?
Here's what we said!
9 students said 75
11 students said 105
0 students said 110
obtuse angle
0 students said 80
vertex
23
Which is the least common multiple (LCM) of 9 and
12?
Here's what we said!
A.) 108
3 students said 108
B.) 12
3 students said 12
C.) 3
3 students said 3
D.) 36
3 students said 36
9, 18, 27, 36, 45, 54
the smallest quantity that is divisible by 2 or
more given quantities with out a remainder
least common multiple
12, 24, 36, 48, 60, 72
As you can see on this number line, the first
time the multiples match up is 15. Answer 15
24
What is the measurement of angle b in the
triangle below?
105
Here
Here's what we said!
35

4 students said 35
_______
140
3 students said 70
10 students said 40
180
180
5 students said 140
140
-
_______
40
Triangles
180 degrees
25
Lets Review

• General Pattern rules that describe patterns.
• General pattern ? 50 of n ½ n
• A special case is when you substitute a
  particular number for the variable in a general
  pattern.
• Special case ? 50 of 35 ½ 35

Now complete the
Exit Out Slip