Download 1-9-17 algii - Trousdale County Schools

Trousdale County Schools Lesson Plan 2016-17
Teacher: SEden
Unit Name: Sequences/Rational Expressions
Unit #:4/5
Unit Length:
Week:
January 9 – January 13
Week _____ of ______
Subject: Algebra II
Tennessee State Standard(s) to be taught: (Write the entire standard)
F-BF Building Functions Build a function that models a relationship between two quantities
2. Write arithmetic and geometric sequences both recursively and with an explicit formula,
use them to model situations, and translate between the two forms.
A-SSE Seeing Structure in Expressions Interpret the structure of expressions
1. Interpret expressions that represent a quantity in terms of its context. a. Interpret
parts of an expression, such as terms, factors, and coefficients.
A-CED Creating Equations Create equations that describe numbers or relationships
1. Create equations and inequalities in one variable and use them to solve problems.
A-SSE Seeing Structure in Expressions Interpret the structure of expressions
1. Interpret expressions that represent a quantity in terms of its context. a. Interpret
parts of an expression, such as terms, factors, and coefficients.
Write expressions in equivalent forms to solve problems.
4. Derive the formula for the sum of a finite geometric series (when the common ratio is not
1), and use the formula to solve problems
A-APR Arithmetic with Polynomials and Rational Expressions Rewrite rational expressions
6. Rewrite simple rational expressions in different forms; write a(x) ____ b(x) in the form
q(x) 1 r(x) ____ b(x) , where a(x), b(x), q(x), and r(x) are polynomials with the degree of r(x)
less than the degree of b(x), using inspection, long division, or, for the more complicated
examples, a computer algebra system.
7. Understand that rational expressions form a system analogous to the rational numbers,
closed under addition, subtraction, multiplication, and division by a nonzero rational
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expression; add, subtract, multiply, and divide rational expressions.
A-REI Reasoning with Equations and Inequalities Understand solving equations as a process of
reasoning and explain the reasoning
2. Solve simple rational and radical equations in one variable, and give examples showing how
extraneous solutions may arise. Represent and solve equations and inequalities graphically
11. Explain why the x-coordinates of the points where the graphs of the equations y 5 f(x) and
y 5 g(x) intersect are the solutions of the equation f(x) 5 g(x); find the solutions
approximately. Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute
value, exponential, and logarithmic functions.
Accommodations for students, both regular and special populations :
Unit Vocabulary: rational equation • extraneous solution• arithmetic sequence • geometric sequence • finite
sequence • infinite sequence• series • finite series • infinite series • arithmetic series• geometric series
Daily Agenda
Resources, Technology, Formative and/or
Summative Assessments, Assignments, and a Daily
Activity for citing text based evidence in
conversations and/or writing
Monday – 9 B
More practice on sequences – geometric and
arithmetic – introduction to series
Textbook
Calculator
Rational expression – adding and subtracting
worksheet
2
Tuesday - 10 A
Geometric series – section 6.3
Go over work from yesterday
Check for understanding 6.2
Warm up 6.3 and more work on series
Textbook
Calculator
Adding and subtracting practice
Multiplying and dividing practice
Wednesday – 11 B – Power Wednesday
Board work for review
6.1 – 6.3 review and using formulas
Test tomorrow
Formulas that will be given on TN ready test
Check for understanding adding and subtracting
Review for a quiz tomorrow
*board work
Thursday – 12 A
Check for understanding
Chapter 6 test – sequences and series
Test
Quiz over adding and subtraction rational
expressions
Quiz
Check and warm up
Friday – 13 B
Rational expressions – multiplying
Factoring GCF and basic trinomials
Textbook
Factoring resources
Rational equations –solving for a variable
3