Bell Ringer
1. -5 + 5x + 4x = 15 - 2x
Answer:
Slide the shade down!
-5 + 9x = 15 - 2x
+5
+ 2x
+5
+ 2x
11x = 20
11
11
x =
x≈
Absolute Value in terms of distance
(number 1)
REMEMBER Absolute Value?
A POSITIVE number that represents distance !
What's it mean?____________________________________
Use the above number line, write the answer as an absolute value.
1. What is the distance between 4 and 6?
2. What is the distance between -3 and -7?
3. What is the distance between 2 and -5?
Absolute Value in terms of distance
(number 1)
REMEMBER Absolute Value?
A POSITIVE number that represents distance !
What's it mean?____________________________________
4
2
7
Use the above number line, write the answer as an absolute value.
| 4 ­ 6 | = | ­2 | = 2
1. What is the distance between 4 and 6?
2. What is the distance between -3 and -7? | ­3 ­ ­7 | = | ­3+7 | = | 4 | = 4
3. What is the distance between 2 and -5? | 2 ­ ­5| = | 2+5 | = | 7 | = 7
Representing Change:
Formula: NEW
­ OLD
Example:
Sarah's math grade was 78% at the beginning of the quarter. At the end of the quarter her grade was 85%. What number best represents the change in her math grade?
New grade
­ Old grade
GRADE CHANGED:
85
­78
+ 7%
The temperature at noon is 89º F. At 4 pm the temperature is 113º F. What number best represents the change in temperature?
New TEMP 113
­ Old TEMP ­89
TEMP. CHANGED:
+ 24º F
Mary's math grade was 67% at the beginning of the quarter. At the end of the quarter her grade was 83%. What number best represents the change in her math grade?
New grade
­ Old grade
GRADE CHANGED:
83
­67
+ 16%
At the beginning of the wrestling season, Thomas' weight was 185 lbs. At the middle of the season he weighed 153 lbs. What number best represents the change in his weight?
New Weight
­ Old Weight
WEIGHT CHANGED:
153
­185
­ 32 lbs
Rational approximation of irrational numbers
(problem 2)
What is 4 x 4?
What is 6 x 6?
16
36
So, what is
What is
16 ?
36 ?
4
6
Taking the square root of a number is the inverse operation of
squaring a number. It's like going backwards.
Perfect squares (rational)
2
1 =
2
2 =
32 =
42 =
2
5 =
62 =
72 =
2
8 =
1
4
9
16
25
36
49
64
2
9 =
2
10 =
2
11 =
12 2 =
2
13 =
2
14 =
15 2 =
81
100
121
144
169
196
225
Non-perfect squares (irrational)
2
7
3
8
5
10
6
11
3.
What two numbers does the value of lie between?
110
Use the Perfect squares:
100 and 121
4.
25 and 36
25 and 36
5 and 6
What two numbers does the value of lie between?
22
Use the Perfect squares:
16 and 25
6.
10 and 11
What two numbers does the value of lie between?
31
Use the Perfect squares:
5.
100 and 121
16 and 25
4 and 5
What two numbers does the value of lie between?
86
Use the Perfect squares:
81 and 100
81 and 100
9 and 10
Day 2 Assignment:
SHOW YOUR WORK ON A SEPARATE SHEET OF PAPER!
Problem #:
#1
7
#2
6
Problem Count =13 Assignment 5,7,13,17,19 mc 2,4
10, 12, 14, mc 1­3