Keystone Prep Fisher Chapters 1-10

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Keystone Prep
(April curriculum)
*Agenda*
Reviewing Key Concepts in Chapter 1
Teacher Station: Page 36 Practice and Problem Solving #’s 24-41
Independent Station: Worksheet 1.3
Worksheet 1.4
Study Island Assignments:
1. Write Algebraic Expressions
2. Solve Algebraic Expressions
3. Solve Two Step Equations
Translating from words to
Algebraic Symbols Ch 1
Evaluating Algebraic Expressions
Ch 1
Simplify before Solving
Ch1
Page 36
Practice
and
Problem
Solving
#’s 24-41
Teacher
Station
Study Island Assignments: 1. Write Algebraic Expressions
2. Solve Algebraic Expressions
3. Solve Two Step Equations
Independent
Station:
Worksheet 1.3
Worksheet 1.4
Solving Absolute Value
Equations 1.6-1.7 page 57 Ch 1
*Agenda*
Teacher Station: Practice and Problem
Solving page 57 #’s 14-28
Independent Station: Worksheet 1.6
Study Island : Absolute Values
Solving Absolute Value Equations
Solving Absolute Value Equations
–p < x < p
x < – p or
x>p
Ch 2 Highlights… What will be on
your Keystone… INEQUALITIES
Teacher Station: 2.4 Worksheet
*Agenda*
Independent Station: 2.5 Worksheet Form G
2.6 Worksheet Absolute Value
Inequalities
Study Island Station: 1. Write Algebraic Expressions
Work on the
following 4
assignments…
2. Solve Algebraic Expressions
3. Solve Two Step Equations
4. Absolute Values
Ch2 the only new concept introduced was INEQUALITIES!!!
≥
INEQUALITIES Ch 2
** Remember when
do you use an OPEN
circle and when do
you close the circle?!
Ch 3 Section 1 & 2
*Agenda*
Teacher Station: page 173 7-10, 11-14
Independent Work Station: 3.1 Worksheet
3.1 Worksheet Part 2
Study Island: Ch 3 Domain and Range
Functions Ch 3 page 164
Domain and Range- Relations and Functions
A Function
Does it
pass the
vertical
line
test??!
Example:
Circle
Is this
relation a
function?
NO!!!!
*Agenda*
Teacher Station: Page 190 #1-10
Independent Work Station:
Page 190 # 13-24
Study Island:
Ch 3 Linear Functions f(x)
Writing Functions
Ch 3
Page
183
#’s
9-11
Whole
group
quick
lesson
Graphing Functions 3.4
Graphing Functions 3.4
Ch 4… Brief review on…
Topics:
• What is a linear function?
• How do you find the slope of a
line?
• How to write a line in Slope
intercept Form – 4.6
• How to write a line in Point Slope
Form -4.7
Ch 4 Linear Functions…
*Agenda*
Teacher Station: Worksheet 4.3 Teach
Independent Station: 4.3 Slope
4.3 Slope Intercept
Form
Study Island: Continue to Work on current
lessons:
1. Linear Functions
2. Domain & Range
Rate of
Change
- Slope
4.6 Slope Intercept Form
*Agenda*
Teacher Station: pg 276 Textbook Pg 279 # 1-6
Independent Station: 4.7 Point Slope Form
Worksheet
Study Island: Continue to Work on current
lessons:
1. Linear Functions
2. Domain & Range
4.7 Point- Slope Form
Review of Ch 5… Solving Systems
*Agenda*
Teacher Station: 5.1 Teacher Worksheet
Independent Workstation: 5.1 Worksheet
Study Island: Solving Systems by
Substitution
Solve & Graph
y= 2x – 1
Is point (2,3) a solution of the given system?
y= -x + 5
y=2x-1
y= -x +5
3=2(2) -1
3= -2 +5
3=4-1 Yes
3=3 Yes
Point (2,3) Is where these two lines intersect!
To Graph:
Write in slope intercept form: y= mx + b
b= your y intercept
For line y=2x-1 it intercepts at (0,-1) & (2,3)
For line y= -x + 5 it intercepts at (0,5) & (2,3)
Now, simply draw both lines on a graph!
Solving Systems by Substitution
*Agenda*
Teacher Station: 5.2 Teacher Worksheet
Independent Workstation: 5.2 Worksheet
Study Island: Solving Systems by Substitution
Substitution pg 336
Solving Systems by Elimination
*Agenda*
Teacher Station: 5.3 Teacher Worksheet
Independent Workstation: 5.3 Worksheet
Study Island: Linear Inequalities Absolutes
Elimination pg 344
5.5 Graphing Linear Inequalities
*Agenda*
Teacher Station: Textbook page 360, 361,
363
Independent Workstation: 5.5 Worksheet
Study Island: Linear Inequalities Absolutes
Shading…
y intercept
Plug 0 in for y
X intercept
Y=3x + 4
0< 3x +4 x= -1 1/3
We will review the following
Exponent Rules from Ch 6…
Multiplying Powers with the same bases-6.3
Dividing Powers with the same base
Rational Exponents- Working with radicalsindex
1. Write in Radical Form
2. Write in Exponential Form
Simplifying Radicals- How? Factor
Ch 6 Review Exponents…
Review Exponent Rules -6.1
Rule with neg exponent: Stick it, flip it, reverse it
*Agenda*
Teacher Station: Textbook page 395
Independent Workstation: 6.1
Worksheet Negative Exponents
Study Island: Exponents
*Agenda*
Teacher Station: 6.3 Teacher Worksheet
Independent Workstation: 6.3 Worksheet
Multiplying Exponents with same base
Study Island: Exponents
*Agenda*
Teacher Station: 6.5 Teacher
Worksheet
Independent Workstation: 6.5
Worksheet Dividing Exponents
with same base
Study Island: Exponents
*Agenda*
Teacher Station: 6.2 page 399 Textbook
#’s 52-59 page 401
Independent Workstation: 6.2 Worksheet
Working with Radicals
-Write each expression in Radical Form
-Write each expression in Exponential Form
Study Island: Exponents
Numerator = Power
Denominator= Index
*Agenda*
Teacher Station: 6 Teacher Worksheet
Simplifying Radicals- (factoring out
perfect squares…)
Independent Work station: 6
Simplifying Radicals Worksheet
Study Island: Simplify and Factor
Chapter 6 Polynomials…
Polynomials Addition/Subtraction
*Agenda*
Teacher Station: page 417 Guided Practice #’s
16-24
6.4 Add and Subtract Teach Poly
Worksheet
Independent Work station: 6.4 Adding
Polynomials Worksheet
Study Island: Simplify and Factor
Adding & Subtracting
Multiplying Polynomials, what
we will review…
Monomial by Monomial
Polynomial by Monomial
Binomial by Binomial
Binomial by Polynomial
Polynomials Multiplication
*Agenda*
Teacher Station: page 427 Guided Practice
#’s 1-24
Independent Work station: 6.5
Polynomial Multiplication Worksheet
Study Island: Simplify and Factor
Multiply Monomial by Monomial
Multiplying Monomial By Monomial
Step one: Group like bases together
Ex: (-3x³y²) (4xy 5 ) = (-3 * 4) (x³ * x) (y² * y 5 )
Step Two: Add exponents
Ex: -12X 4 y 7
Multiply Polynomial by Monomial
*USE DISTRIBUTIVE PROPERTY*
Step one: Distribute
Step Two: Multiply
Step three: Group Like bases
5(2x² + X + 4)
10X² + 5X +20
Multiply Binomial by Binomial
FOIL
Foil
f
x
o
x
x
2
i
3 X
l
3
x²+ 5x +6
2
Multiply Binomial by Polynomial
Use rectangle model
page 426 in Textbook
-Write the products of the monomials in each row and column
to find the product, add all of the terms inside the rectangle by
combing the like terms and simplifying.
(5x+ 3) (2x²+10x-6) =
10x³+ 6x² + 50x² +30x-30X -18
2x²
5x
3
-6
10x³
10x
50x²
-30x
6x²
30x
-18
Final Answer: 10x³ + 56x² -18
Review Ch 7…
Factoring
Find GCF
Factoring quadratic trinomials w/out a
coefficient x² + bx + c
Factoring quadratic trinomials with a
coefficient! ax² + bx + c
Factoring….
*Agenda*
Teacher Station: 7.2 Factor GCF
Worksheet
Independent Work station:
7.3 Worksheet Multiplying Binomials
Study Island: GCF
Factoring….
*Agenda*
Teacher Station: 7.3 Factoring Trinomials
Worksheet
Independent Work station:
7.4 Factoring Trinomials with a coefficient
Worksheet
Study Island: GCF
Ch 10 Review… Probability
Box and Whiskers
Stem & Leaf
Mean Median Mode
Calculating Probability
Box and Whiskers
Probability
*Agenda*
Station 1
10.3 Worksheet Mean, Median, Mode
10.3 Worksheet Mean_Range
Station 2
10.3 Box and Whisker Worksheet Teach
10.3 Box and Whisker Worksheet
Station 3
10.5 Calculating Probability Worksheet
10.6 Probability Worksheet
Congratulations!!!! You are officially
ready for the Keystone Exam!
Good luck!
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