If y= ( ) is a
differentiable
function of , and
= g( ) is a
differentiable
function of ,
f
u
u
x
x
u
then y = (g( ) is
a differentiable
function of , and
or
f
x
x
dy dy du
=
dx du dx
d
'
'
[f (g (x)]=
4x+2
Locate the absolute extrema of the function g(x) = on the closed interval [0,2] .
5
a) absolute maximum: [2:] b) absolute maximum: (2,2) 3 B
absolute minimum: (0, 2) absolute minimum: [0,?) 4.
2
15. d
[m I
(a) Letu=3$?
l
(b) Then du=3drerdu=dr
(e) New substitute
131
13. 1 dt
[(H) t?
1
(s) Letu=1+
1 1
(b) Then [Eu 2 t2 sit or du = t2 aft
(e) New substitute
12. f[$+1]sin($2+2$+3dm
(a) Letu=$2
Non - Calculator 1. A particle moves along the x-axis with
acceleration given by a(t) = 2t - 10 for t > 1. a. Write an
expression for the velocity v(t), given that v(1) = 7.
b. Write an expression for
Exam 2 Practice
Name_
Complete the Exam Practice. Answers will be posted Friday morning. Correct your paper with a
different colored writing utensil.
Formulas for Exam 2 that will be given:
b
n xy x y
Name:
Decimal Quiz
Read each question carefully. Solve and circle the correct answer.
Sally is
the star
runner on the Admiral Byrd
Track Team. During trials, she ran 2 miles in
15.3564 minutes. What i
1.1
Scientific Notation
Standards 7.1a, 7.1b
Essential Question
When should scientific
notation be used?
The proton is a particle that is smaller than an atom. Its mass is just
0.000000000000000000000
2.1
Integer Operations
You can add, subtract, multiply, and divide integers. The table shows
the rules for adding integers.
Addition
Rule
Example
Positive Positive
Add the integers. Use the same sign.
Properties of
Quadrilaterals
4.1
Quadrilaterals can be classified based upon the number of parallel sides
and congruent sides they have.
Parallelogram
2 pairs of
parallel sides
Rectangle
Rhombus
paral
Partner Switch Decimals Form A
Directions: 1. Do the first problem.
2. Switch papers with the partner across from
you.
3. Check the problem they have done. If it is correct, place
a check in the box n
Partner Switch Decimals Form B
Directions:
1. Do the first problem.
2. Switch papers with the
partner across from you.
3. Check the problem they have done.
If it is correct, place a check in the box
n
Functions
6.1
A relation is a special relationship between two quantities. A function is
a relationship in which one quantity, the output, depends upon another
quantity, the input. As with a pattern,
Theoretical and
Experimental Probability
5.1
Standard 7.9
Essential Question
What is the difference
between the theoretical
and experimental
probability of an event?
Probability describes the likeliho
3.1
Surface Area
and Volume
Standard 7.5a, 7.5b
Essential Question
How are volume and
surface area related?
You can use a net to represent solid figures. A net is a two-dimensional
representation of t
Title: Designers ChallengeExploring Area
Brief Overview:
The students will use prior knowledge and manipulatives to explore concepts that
focus on determining the area of regular and irregular shapes.
Title: Mall Madness!
Brief Overview:
Students will take on the role of architects as each group designs a state-of-the-art store for
a major shopping mall. They will be focusing on major mathematical
Name Date Class
Practice A
5- 7 Scale Drawings and Scale Models
Identify the scale factor. Choose the best answer.
1
1. Person: 72 inches . ' 2. Dog: 24 inches
Action figure: 6 inches Stuffed animal:
Name _ Date Class
Practice B
5-7 Scale Drawings and Scale Models _
Identify the scale factor.
- Toy 2' Airplane m
Alligator Alligator Length (ft)
-175 7
Length (in )
3' 4'
Action
F
5th
Grade
Sales Tax
Math
Sales tax is different in each state. Find the sales tax each person will pay.
Show your work.
1. Ruby bought some clothes that cost $50. Sales tax in her state is 10%.
How mu
Name_
1. How much do you think you will personally spend to have lunch?
_
2. How much do you think your total bill will be? _
Fill in the chart below with items your friend and you would like for
lunc
Area and Perimeter Quiz
1. What is the formula for area?
2. How do you find the area of an object?
Read through each word problem. Answer each question carefully.
3.
Laura wanted to put a small fence
Name _
Percentage Practice
Percentage Practice
To find the percent of a number, change the percent to a decimal and multiply.
Example: What is 30% of 50? Convert the percentage to a decimal by moving
Name_
1. How much do you think you will personally spend to have lunch?
_
2. How much do you think your total bill will be? _
Fill in the chart below with items your friend and you would like for
lunc
Partner Switch Decimals Form C
Directions:
1. Do the first problem.
2. Switch papers with the partner
across from you.
3. Check the problem they have
done. If it is correct, place a check
in the box n
Worksheet Precalculus Section 7.1 7.4 _ Name Aux-awn
Sine / Cosine Graphs ' , 7
Match the following functions with their graphs.
1. _
_1.'y=sinx
9. Match the gnah to the correct fu
471'
give the exact values. 37- COE ?
7. Evaluate. (if possibha) The: sine, cosine, and Tangenr of The angle
wiThouT a calculator.
b. Ls'in 150"
03 450
Tan 450'
d sin :
3
ET
cos _:
3
Tan 475:
3 4. Fin