STUDENT LEARNING MAP
Content Map of Unit:
Algebra II – Chapter 8
Key Learning(s):
Topic: Rational Expressions and Equations
Unit Essential Question(s):
Grade: Sr. High
Optional Instructional Tools:
Simplifying rational expressions
Ability to write algebraic
expressions using rationals to
model real world situations
Using direct, joint and inverse
variations in these application
How do we use our factoring skills
to transform and solve equations?
How do we determine reasonable
domain and range values?
How can we use functions to
model and make predictions in
problem situations involving direct
and inverse variations?
Concept:
Concept:
Concept:
Concept:
Multiplying and Dividing Rational
Expressions
Adding and Subtracting Rational
Expressions
Graphing Rational Functions
Direct, Joint and Inverse Variation
Lesson Essential Questions:
Lesson Essential Questions:
Lesson Essential Questions:
Lesson Essential Questions:
What are some properties of
rational expressions? How can
they be multiplied and divided?
How are rational expressions
added and subtracted?
How is the graph of a rational
function related to the algebraic
form of the function?
How are direct and inverse
variation described algebraically
and graphically? How can you
analyze variation involving more
than two variables?
Vocabulary:
Vocabulary:
Vocabulary:
Vocabulary:
rational function, continuity,
asymptote, point discontinuity
direct variation, constant of
variation, joint variation, inverse
variation
rational expression, complex
fraction
Concept:
Concept:
Classes of Functions
Solving Rational Equations and
Inequalities
Lesson Essential Questions:
Lesson Essential Questions:
What are some of the basic types
of functions?
What are some real-world problem
situations that involve rational
equations and inequalities, and
how are they solved?
Vocabulary:
Vocabulary:
Concept:
Concept:
Lesson Essential Questions:
Lesson Essential Questions:
Vocabulary:
Vocabulary:
rational equation, rational
inequality
Assignments:
Sect 8-1 Multiplying and Dividing Rational Expressions, pages 447-449: 17-53 odd, 56-62 all, 68, 69
Sect 8-2 Adding and Subtracting Rational Expressions, pages 454-456: 23-47 odd, 40-46 even, 51, 52, 62-68 all
Sect 8-3 Graphing Rational Functions, pages 461-463: 13, 15, 17-28 all, 29, 31, 33-36 all, 39-45 odd, 55, 56, 57-63 odd
Sect 8-4 Direct, Joint and Inverse Variation, pages 469-471: 8-13 all, 17-31 odd, 36-38 all, 42-44 all, 51-54 all
Sect 8-5 Classes of Functions, pages 476-478: 10-33 all, 38, 39, 41-45 odd
Sect 8-6 Solving Rational Equations and Inequalities, pages 484-486: 10-31 odd, 32, 42-46 all