Name: _
Date: _
Find the following items in your notebook and attach them to this page.
Chapter 7 Notebook Check
1st point
(have the
item)
Item
2nd point
(item is
completed)
3rd point
(item is in
order)
1. Investigation: Polynomial Arithmetic
2. Homework
Chapter 7 Remediation
Name: _
Based on the results of your chapter 7
Pretest, the following skills should be
practiced in order to perform well on the
chapter 7 assessment. Complete the
worksheets, then go back try the pretest
again.
Worksheets Grade on
W
Station: Factoring
GCF and Check
Guess and Check
Grouping and Check
Factor each of the following completely using any method. Show
work on a separate sheet of paper or on the back of this.
1. x2 + 3x 54
2. x2 9x 36
3. x2 -15x + 56
4. 3x3 +30x2 + 72x
5.
Chapter 7 Test (Pretest/Review)
Name
Form B
Period
1. (4 points) Simplify each of the following.
a. (5x5 + 3x2 - 2x + 7) (2x3 x2 + 9)
Date
b. (4x 3)2
c. (x + 2)(3x 1)(x 4)
2. (3 points) Factor.
a. x2 15x +50
b. 81x2 - 1
c. 6x2 + 37x + 6
3. (3 points) Stat
I nvestigation:TougherFactoring
Part 1: Using the guess and check method.
Step 1: Simplify (2x + 3)(3x 5)
So far, we have only factored problems that were either special, or the leading coefficient has
been 1 (x2 + bx + c). Today, our leading coefficient
I nvestigation:BasicFactoring
Factoring is undoing multiplication, almost like division.
Part 1: Factoring with Numbers
Step 1: Factor by making a factor tree:
a. 108
b. 200
Step 2: What is the greatest common factor between
a. 108 and 200
b. 200 and 36
c
Investigation: Square root method and Zero Product Property
Part 1: Solve equations using the square root method.
Step 1: When you solve an equation by taking the square root of both sides,
ALWAYS remember that you will get 2 answers.
Example: Solve x2 =
Investigation: Complex Numbers
Not all numbers are numbers that exist in our everyday world. These numbers
are called imaginary numbers.
1 = _
All numbers are considered complex numbers, whether they are imaginary, real,
or both. Complex numbers can be w
Homework Lesson 7.5 part 2 Complex Numbers
Name: _
Period: _
1. Simplify the following. Put your answer in the form a + bi
2
a. 2.3 54
b. ( 3 9i )
c. (-5 + 6i) (1 i)
e. -4i(-6 + i)
f. (2+3i)(4 5i)
j. i16
k.
2
3+i
g. i30
l.
4+i
5 2i
h. i9
Date: _
d. (-2 5i
Investigation: Quadratic Formula
Sometimes we will come across quadratic equations that are not factorable or square
rootable. In those cases, or in all cases, we can use the QUADRATIC FORMULA!
We call the answer(s) to equations zeroes, roots, or solution
I nvestigation:ClassifyingPolynomials
All equations and expressions in math have names so we can identify them, just
like we have names, a first name and a last name.
Part 1: What is a Monomial?
A monomial is a term that can be written as axn, however the
Homework 7.1 Classifying Polynomials
Name: _
Period: _
Date: _
Simplify and classify each of the following polynomials by degree and number of terms, and
state the leading coefficient. Make sure each polynomial is written in standard form.
Classification
Investigation: Polynomial Arithmetic
Part 1: Adding and Subtracting
Its just combining like terms.
*Note: You are adding and subtracting like objects, so do not add and
subtract the exponents!*
With problems with 1 variable, list the terms in order fro
Name: _
Date: _
Find the following items in your notebook and attach them to this page.
Chapter 10 and 12 Notebook Check (Honors)
1st point
(have the
item)
Item
2nd point
(item is
completed)
3rd point
(item is in
order)
1. Homework: 10.1
2. Investigation:
Name: _
Based on the results of your chapter 10 and 12
assessment, the following skills and concepts
need to be remediated by completing the
attached worksheets.
Worksheet
#
1
2
3
4
5
6
7
8
Worksheets
to be
completed
Skills
Grade on
worksheet
out of 10
Ba
Word Problems Practice Worksheet
Name: _
Solve the following word problems using the Pythagorean theorem, trigonometric ratios or
trigonometric inverses.
1) Joe is standing a distance of 20 m away the foot of a tower. He is looking up at the tower at a
40
Investigation: Right Triangle Trigonometry
Part 1: Pythagorean Theorem
What is the Pythagorean Theorem and when is it used?
Using the equation above (Pythagorean
Theorem), find the missing lengths of this
triangle.
a)
b)
Part 2: Trigonometric Ratios
What
Trigonometric Ratios & Inverse Worksheet
Name: _
Part 1: Write the equations.
Sin(x)=
Cos(x)=
Tan(x)=
Part 2: Find the missing sides of the right triangles below using trigonometric ratios.
a)
b)
c)
Part 3: Find each angle measure.
1) sin B = 0.4848
2) co
Pythagorean Theorem Practice
Name: _
Part 1: Do the following lengths form a right triangle?
Part 2: Find each missing length. (Round to the nearest tenth)
7)
8)
9)
10)
Part 3: A ladder is leaning against the side of a 10m house. If the base of the ladder
Homework: Lesson 12.1 Part 2 Right Triangle Trigonometry
Name: _
Date: _
Period: _
Due Date: _
1. Use the Pythagorean theorem to find the missing lengths.
a)
b)
2. Use trigonometric ratios to find the missing length.
a)
b)
4. Use trigonometric inverses to
Homework Lesson 12.1 Right Triangle Trigonometry
Name: _
Period: _
1. Give each answer as a decimal accurate to the nearest
0.001.
a. sinT = _
b. cos T = _
c. tanT = _
Date: _
d. sin R = _
e. What is the measure of angle T ?
f. What is the measure of angl