write the equivalent expression from set b by each expression in set a set a set b 1. 5. 3. 4. 2
TRANSCRIPT
Write the equivalent expression from set B by each expression in set A
Set A
Set B 1.
5.
3.4.
2.
8888 8888
88888 88888
88882
48)4(8
58
)5(8
)4(82
Write the expression from set B by each expression in set A
Set A
Set B 1.
5.
3.4.
2.
8888 8888
88888 88888
88882
48)4(8
58
)5(8
)4(82
#5 Intuition: Estimate the number of cups in a stack that is as tall as your
math teacher?
#6 Intuition: Give a range of reasonable answers to the number of cups in a stack that is as tall as your
math teacher?
Estimate the number of cups in a stack that is as tall as your math teacher?
Avoid these mistakes
11.5
Precision
About 11.4 in
11+(5/16)=11.375≈11.4
Estimate the number of cups in a stack that is as tall as your math teacher?
Create an estimate.
Give clear, convincing evidence that your estimate is accurate.
(Write something that would convince your boss)
Generalize: create written steps, a graph and/or a variable expression that
could be used to find the height of stacks with different numbers of cups.
7.
A stack of 3 cups is 7.5 inches tall.
The relationship between number of cups and height of stack (inches) is modeled by the recursive function:
Next=Now+0.7
8.26.8
Cups 2 3 4 5
Height (inches)
7.5 8.98.26.8
Next=Now+0.7
Cups 0 1 2 3 4 5 24
Height (inches)
5.4 6.1 6.8 7.5 8.2 8.9
5.4+0.7(5)
?
5.4+0.7(24)
22.2
Height (inches) as a function of cups.
5.4+0.7cGeneral expression:Function: h(c) = 5.4+0.7c
Recursive Function:
94
71.2
c is # of cups
Time (minutes)
0 1 2 3 4 5 53
Weight (grams)
115 127
Generalize:Function:
Generalize:General expression:Function:
Recursive Function:
Table:
9.
Time (minutes)
0 1 2 3 4 5 53
Weight (grams)
115 127
Generalize:Function:
Generalize:General expression:Function:
Recursive Function:
Table:
9.
Next=now+12
139
151
103
91 727
91+12t
W(t)=91+12t
Can I do it?Find the following:
• Missing information from the table
• General Expression
• Function
Given:
6)( 2 xxfExample 1: Find the value of f(x) when x is 4.
6)( 2 xxf
6)4()( 2 xf
22)( xf
Example 2: Find the value(s) of x that make f(x)=20 6)( 2 xxf
620 2 x
1414 andxUse store as to try it.
Given: 364)( xxf
#1: Find the value of f(x) when x is 9.
#2: Find the value(s) of x that make f(x)=60
726
f(9)=72X=6
Given:
36)( 2 xxf
#3: Find the value of f(x) when x is -5.
#4: Find the value(s) of x that make f(x)=52
61
f(-5)=61
4 and -4
x=4 and -4
(2,6)
(4,3)
(1.4,6)
(4.3,3)
4.13.4
2.9
A) Exact distance between the two points
B) Decimal estimate of the distance between the two points.1. (2,4) and (5, 9)
2. (-3,-6) and (2, -3)
3. (-4,6.1) and (-5.3, 9.8)
4. (25,68) and (88, -212)
Use calculator for # 3 and 4. Decimal answer only