Unit 4 Syllabus - Mrs. Drake`s math Class

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Mrs. Drake
 A Day Schedule  2015-2016
DATE
TEXT
Tue
Jan. 5
DAY 1
9-5
Thu,
Jan. 7
9-1
Fri,
Jan. 15
DAY 4
HOMEWORK
Watch video on direct, inverse, and joint
variation. Links on
www.mrsdrakesmathclass.weebly.com Take
notes as you watch (include examples).
Complete IXL Q.7 to a Smart Score of 80%
Watch video on multiplying and dividing rational
expressions. Links on
www.mrsdrakesmathclass.weebly.com Take
notes as you watch (include examples).
Factoring Review (calculator use)
Factoring Worksheet
Simplifying, Multiplying and Dividing
Rational Expressions
Complete IXL N.5 to a Smart Score of 80%
Watch video on LCM. Links on
www.mrsdrakesmathclass.weebly.com Take
notes as you watch (include examples).
Day 04 Worksheet on LMC, multiplying/dividing
IXL
Q.1, Q.2,
Q.3, Q.4,
Q.5, Q.6,
Q.7
N.4
N.5
Finding a LCM
Watch video on adding and subtracting rational
expressions and take notes as your watch
Wed,
Jan 20
DAY 5
9-2
Fri,
Jan 22
DAY 6
Tues,
Jan. 26
Day 7
Thurs,
Jan. 28
Day 8
9-3
Mon,
Feb. 1
DAY 9
OBJECTIVES
Variation Functions (direct, indirect,
combined, joint)
Virginia Beach Algebra II
Mid-Assessment
Mon,
Jan. 11
DAY 2
Wed,
Jan. 13
DAY 3
Name__________________________  Block______
Adding and Subtracting Rational
Expressions
9-1
to
9-6
9-1
to
9-6
N.6
Day 04 HW Graphing worksheet
N.1
IXL N.7 to a Smart Score of 80% or better
N.7
Graphing Reciprocal Functions
9-4
9-6
Complete IXL N.6 to a Smart Score of 80%
Solving Rational Equations
Unit 4 Review
Unit 4 Test Review
End of 1st Semester
Test on Unit 4
Target 1:
The students will be able to graph rational functions and identify their transformations, domain,
range, zeros, and asymptotes. This will include slant asymptotes, and holes.
Target 2:
The student will be able to model and solve real world problems by using inverse variation,
joint variation and a combination of direct and inverse variation.
Target 3:
The student will be able to add, subtract, multiply, divide, and simplify rational expressions.
Target 4:
The student will be able to solve equations containing rational algebraic expressions
algebraically and check their solutions graphically.
Unit 4: Rational Functions and Relations
UNIT 4 ENDURING UNDERSTANDINGS:
1. Rational expressions present unique limitations on practical applications.
2. Practical problems can be modeled and solved by using direct, inverse and joint variation.
UNIT 4 ESSENTIAL QUESTIONS:
1. How does the graph illustrate the unique limitations of a rational function?
2. How do you determine if a function is a model of direct or inverse variation?
3. Why are there restrictions on rational expressions, equations, and functions?
4. What real life situations model direct, inverse and joint variation?
SOL Objectives (2009):
AII/T.1
The student, given rational, radical, or polynomial expressions, will
a) add, subtract, multiply, divide, and simplify rational algebraic expressions;
AII/T.4
The student will solve, algebraically and graphically,
c) equations containing rational algebraic expressions; and
Graphing calculators will be used for solving and for confirming the algebraic solutions.
AII/T.6
The student will recognize the general shape of function (absolute value, square root, cube root,
rational, polynomial, exponential, and logarithmic) families and will convert between graphic and
symbolic forms of functions. A transformational approach to graphing will be employed. Graphing
calculators will be used as a tool to investigate the shapes and behaviors of these functions.
AII/T.7
The student will investigate and analyze functions algebraically and graphically. Key concepts
include
a) domain and range, including limited and discontinuous domains and ranges;
b) zeros;
e) asymptotes;
Graphing calculators will be used as a tool to assist in the investigation of functions.
AII/T.10 The student will identify, create, and solve real-world problems involving inverse variation, joint
variation, and a combination of direct and inverse variations.
Unit 4: Rational Functions and Relations – PRIOR KNOWLEDGE & PRE-REQUISITE SKILLS
MA.8.CE.8.1 The student will solve practical problems involving rational numbers, percents, ratios, and
proportions. (SOL 8.3a)
AQ.2
The student will perform operations on polynomials, including
b) Adding, subtracting, multiplying, and dividing polynomials
c) Factoring completely first and second decree polynomials in one or two variables
A.8
Given real world context, analyze relation to determine direct/ inverse variation/represent
direct variation /inverse variation
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