Download Lesson Plan: Simplifying Algebraic Expressions

Algebra 1: Simplifying Algebraic Expressions
Lesson Plan for week 2
Name: Wes Hurt
Date: Jun 2006
Age/Grade level: 9th grade Algebra 1
# of students: 26
# of IEP students: 0
Subject: Algebra
Major content: Algebraic Expressions
Lesson Length: 2 periods of 45 min. each
Unit Title: Simplifying Algebraic Expressions using addition, subtraction, multiplication,
and division of terms.
Lesson #: Algebra1, Week 2
Context
This lesson is an introduction to Algebra and its basic concepts. It introduces the familiar
arithmetic operators of addition, subtraction, multiplication, and division in the formal
context of Algebra. This lesson includes the simplification of monomial and polynomial
expressions using the arithmetic operators.
Because the computational methods of variable quantities follows from the computational
methods of numeric quantities, then it should follow from an understanding of basic
mathematical terminology including the arithmetic operators, fractions, radicals,
exponents, absolute value, etc., which will be practiced extensively prior to this lesson.
Objectives
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Students will be able to identify basic algebraic concepts including: terms,
expressions, monomial, polynomial, variable, evaluate, factor, product, quotient,
etc.
Students will be able to simplify algebraic expressions using the four arithmetic
operators.
Students will be able to construct and simplify algebraic expressions from given
parameters.
Students will be able to evaluate algebraic expressions.
Students will work in groups to gather data using technology.
Students will draw conclusions based on the process of algebra.
Connections
Mathematics HS 397
Academic Expectations
1.5 - 1.9 Students use
mathematical ideas and
procedures to
communicate, reason,
and solve problems.
2.7 Students understand
number concepts and use
numbers appropriately
and accurately.
2.8 Students understand
various mathematical
procedures and use them
appropriately and
accurately.
Program of Studies
M-H-A-2 Students will
solve two-variable linear
equations using real
numbers, real number
operations, field
properties, and order of
operations.
Core Content for Assessment
MA-H-1.2.1 Students will
perform addition, subtraction,
multiplication, and division with
real numbers in problem-solving
situations to specified accuracy.
MA-H-1.2.2 Students will
simplify real number expressions
such as those containing
opposites, reciprocals, absolute
values, exponents (integer), roots
(square, cube), and factorials.
MA-H-1.3.2 Students will
understand how real number
properties (identity, inverse,
commutative, associative,
distributive, closure) are used to
simplify expressions and solve
equations.
Resources, media, and technology
Students and teacher should have access to the internet for these lessons.
NUMBER CRUNCHER ACTIVITY:
http://www.shodor.org/interactivate/activities/numbercruncher/index.html
The number cruncher will help students reason by identifying patterns that are based on
variables and simple arithmetic operators.
PURPLE MATH:
http://www.purplemath.com/
The Purple Math website will connect students to review materials on the specific
subjects of polynomial addition, subtraction, multiplication, and division.
BRAIN POP:
http://www.brainpop.com/
The Brain Pop website will help encourage students to practice for Term Tennis
Assessment.
VIRTUAL FIELD TRIP:
For the virtual field trip, these links are helpful for research but not necessary:
http://www.infinitetechnologies.co.za/articles/thegreatpyramid.html
http://en.wikipedia.org/wiki/Ancient_Egypt
http://www.ancientegypt.co.uk/menu.html
http://www.carnegiemnh.org/exhibits/egypt/
http://www.historychannel.com
http://www.google.com
Procedures
Students will work individually and in groups to solve problems. There will be two 45
minute lectures on adding, subtracting, multiplying, and dividing polynomial expressions,
and the rest of the week will be a combination of worksheets, individual and group
activities, and a take home quiz for assessment.
Enrichment activities will include the Number Cruncher game, which will help encourage
students to participate and reason about terms containing variables. Also, the virtual field
trip will add an edge of excitement to the class by getting them to work together in small
groups of 2 or 3.
Assessment Plan
Students will be assessed on 3 worksheets and a take home quiz, as well as their
participation in the online activities and in class discussions.
Formative Assessment:
Addition and Subtraction worksheet: 25pts.
Multiplication and Division worksheet: 25pts.
In-class and group participation: 10pts.
Virtual Field Trip: 15pts.
Vocabulary Search/Word match worksheet and Number Cruncher: 10pts.
Summative Assessments:
Term Tennis Assessment game: +5 possible bonus onto quiz score.
A short take home quiz on simplifying algebraic expressions: 15pts.
Total: 100pts.