UNIT 1: EQUATIONS, INEQUALITES, & REAL NUMBERS



Mrs. Drake ( A Day Schedule ( 2015-2016( Name__________________________ ( Block______

|DATE |TEXT |OBJECTIVES |HOMEWORK |IXL |

|Tue | |Variation Functions (direct, indirect, combined, | Watch video on direct, inverse, and joint variation. Links on |Q.1, Q.2, |

|Jan. 5 |9-5 |joint) |mrsdrakesmathclass. Take notes as you watch |Q.3, Q.4, |

|DAY 1 | | |(include examples). |Q.5, Q.6, |

| | | |Complete IXL Q.7 to a Smart Score of 80% |Q.7 |

|Thu, | | |Watch video on multiplying and dividing rational expressions. | |

|Jan. 7 | |Virginia Beach Algebra II |Links on mrsdrakesmathclass. Take notes as you | |

| | |Mid-Assessment |watch (include examples). | |

|Mon, | | | | |

|Jan. 11 | |Factoring Review (calculator use) |Factoring Worksheet | |

|DAY 2 | | | | |

|Wed, |9-1 |Simplifying, Multiplying and Dividing Rational |Complete IXL N.5 to a Smart Score of 80% | N.4 |

|Jan. 13 | |Expressions |Watch video on LCM. Links on mrsdrakesmathclass. |N.5 |

|DAY 3 | | |Take notes as you watch (include examples). | |

|Fri, | | |Day 04 Worksheet on LMC, multiplying/dividing | |

|Jan. 15 | |Finding a LCM | | |

|DAY 4 | | |Watch video on adding and subtracting rational expressions and | |

| | | |take notes as your watch | |

|Wed, |9-2 |Adding and Subtracting Rational Expressions | | |

|Jan 20 | | |Complete IXL N.6 to a Smart Score of 80% |N.6 |

|DAY 5 | | | | |

|Fri, |9-3 |Graphing Reciprocal Functions | |N.1 |

|Jan 22 |9-4 | |Day 04 HW Graphing worksheet | |

|DAY 6 | | | | |

|Tues, |9-6 |Solving Rational Equations | |N.7 |

|Jan. 26 | | |IXL N.7 to a Smart Score of 80% or better | |

|Day 7 | | | | |

|Thurs, |9-1 |Unit 4 Review |Unit 4 Test Review | |

|Jan. 28 |to | | | |

|Day 8 |9-6 | |End of 1st Semester | |

|Mon, |9-1 |Test on Unit 4 | | |

|Feb. 1 |to | | | |

|DAY 9 |9-6 | | | |

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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