Name: _
Algebra II Midyear Reflection
We have covered the following topics so far this year Look through your portfolio.
Reflect on your level of understanding you had before and after and give yourself a
rating. (0 = I have no clue, 3 = Meh, I understand
Name: _
Mathematics Reference Sheet/Calculator Review
Use your HSPA math reference sheet and calculator to answer the following
problems.
1.
How many fluid ounces are in 2 cups? _
2.
How many pounds is 76 ounces? _
3.
How many days are in a year?_
4.
How
Name: _
Date: _
Chapter 4 and 6 Pretest Show all of your work!
1. (2 points each). For each relation representation, say whether it is a
function or not and explain your answer.
a.
b.
c.
d.
X
-2
6
8
-4
1
6
15
7
e.
f.
Y
5
7
-7
9
3
2
0
8
2. (2 points each)
I nvestigation:CramersRule
We have yet another way of solving systems, which you may like more called Cramers Rule.
A Swiss mathematician in 1750 named Gabriel Cramer came up with this method.
3 x + 2 y = 0
Solve
x y = 5
Step 1 Write the system as a matr
Homework Lesson 6.3 part 2 Cramers Rule
Name: _
Period: _
Solve each using Cramers Rule.
2 x + y = 7
1.
2 x + 5 y = 1
2 x + 3 y + 5 z = 12
2. 4 x + 2 y + 4 z = 2
5 x + 4 y + 7 z = 7
Date: _
Due Date: _
Investigation: Inverse Matrices
Solving matrix equations that involve addition/subtraction and scalar is very
straightforward, since the operations themselves is simple.
However, solving equations that involve matrix multiplication is much more involved,
Homework Lesson 6.3 part 1 Solving Systems of Equations with Inverse Matrices
Name: _
Date: _
Period: _
Due Date: _
3. Rolando bought 4 CDs and 5 DVDs for a total of $146. Suzanna bought 6 CDs and 3 DVDs for a total
of $138. All the CDs were one price and
The school cafeteria offers a choice of apple juice, orange juice and
Gatorades to drink everyday, in two different vending machines.
The vending machine in the cafeteria currently has 50 apple juices,
32 orange juices, and 13 Gatorades. The vending machi
Name: _
Based on the results of your chapter 4
and 6 assessment, the following skills
and concepts need to be remediated by
completing the attached worksheets.
Worksheet
#
1
2
3
4
5
6
7
8
9
Skills
Worksheets Grade on
to be
worksheet
completed
out of 10
Fu
Chapter 4-6 Reflection
The following nine topics were discussed during this unit.
Interpreting graphs
Determining if a relation is a function
Domain and Range
Using function notation based off of
o graphs
o equations
Composition of functions
Transfo
I nvestigation:JackandJill
Jill has a swim competition. Her boyfriend, Jack, is there to cheer her on
and do some scientific studies.
Graph A, s(t), shows a Jills speed as a function of time. Graph B, U(s),
shows the swimmers oxygen consumption as a funct
Lesson 4.8 Composition of Functions
Name: _
Period: _
Date: _
1. The functions f and g are defined by sets of input and output values.
f = cfw_(5, 0), (-1, 1), (-3, 4), (1, 2), (3, 4), (-2, 6)
g = cfw_(4, -1), (0, -2), (1, -1), (2, -2), (6, 0)
a. What is
I nvestigation:MakeMyGraph
Step 1
below.
Make an accurate graph of the parent function y = x 2 on the coordinate plane
Step 2
On your calculator graph the following equations. Then describe what happened
to the parent function.
a. y = x2 + 3
b. y = x2 7
c
Eanr Homework Lesson 4.4 Transformations of Functions
Name: _
Period: _
Date: _
y = f(x)
1. The graph of y = f(x) is shown at right.
a. Write an equation for each related graph.
i.
ii.
b. On the coordinate plane to the right, draw each transformed graph o
I nvestigation:ToBeorNottoBe(aFunction)
Below are nine representations of relations.
g. Independent variable: the age of each student in your class
Dependent variable: the height of each student
h. Independent variable: an automobile in the state of Kentu
Lesson 4.2 Function Notation
Name: _
Date: _
Period: _
Show your work!
1. Determine if the relation is a function. Then determine the domain and range for each
relation.
a. cfw_(8,5), (6,7), (0, -3), (2, 1), (6, 5)
b. cfw_(-7, 5), (-1, 5), (3, 4), (5, 8),
Do Now Secret Codes
The input letters run across (horizontally(). To code a letter, look for the shaded
square directly above it. Then find the coded output by looking across to the
letters that run up (vertically).
Use the coding grid to write a two- or
Investigation Graph a Story
Part 1:
Sketch a graph that reflects all the information given in this story.
It was a dark and stormy night. Before the rain came, the bucket was empty. For the
first few hours it drizzled. After that it began to pour for seve
Homework Lesson 4.1 Interpreting Graphs
Name: _
Date: _
1. For each relationship, identify the independent variable and the dependent variable.
a. The temperature of a carton of milk and the length of time it has been out of the
refrigerator.
b. The weigh