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Introduction
Symbolic reasoning and calculations
with symbols are central in algebra. Through the study of algebra,
a student develops an understanding of the symbolic language of mathematics
and the sciences. In addition, algebraic skills and concepts are
developed and used in a wide variety of problem solving situations.
Subject: Mathematics
Topic: Algebra
Grade Level: 8th - 12th
Student
Lesson
Standards Addressed
Eighth - Twelfth Grade
Mathematics: Algebra
Solving multi-step problems and graphing
linear equations.
5.0 Students solve multistep
problems, including word problems, involving linear equations and linear
inequalities in one variable and provide justification of each step.
6.0 Students graph a linear equation
and compute the x- and y-intercepts (e.g., graph 2x + 6y = 4). They are
also able to sketch the region
defined by linear inequality (e.g., they sketch the region defined by 2x
+ 6y = 4)
Instructional Objectives
-
Students will ask and answer appropriate
questions in pursuit of a solution.
-
Students will break problems down into
smaller problems and use the sub problems to arrive at a solution.
-
Students will find solutions for unknown
quantities in simple equations and inequalities and correctly interpret
the results.
-
Students will develop and analyze graphs
and determine functional relationships.
-
Students will use mathematical language
and representations with appropriate accuracy.
-
Students will organize work and explain
the steps of a solution in writing.
Student Activities
Introductory
Activity
-
Pretest - Given simple
and multistep problems, students are asked to list the information needed
to solve the problems, describe the subproblems leading to the solution,
and solve the problems using algebraic techniques.
Enabling Activity(ies)
-
From a given website, students will choose
an Algebra topic from the following list: Beginning Algebra Topics, Intermediate
Algebra Topics, Advanced Algebra Topics, or Word Problems. Students
will read the lesson, print the lesson, and present the lesson to a small
group of students. Each student will choose three different topics
to present to their group. A group of four students will be informed
on twelve different topics.
Culminating
Activity
-
Students will summarize the topics they
present to their group by completing the forms provided for lesson summary.
Students will also take a posttest on algebraic problems, similar to the
pretest.
Assessment
The answer key
is provided for the posttest, which assesses growth over the period of
the lessons.
Results
Reflections
and Adaptations
The chart
shows the difference between the pretest and posttest scores by individual
students. This allows teachers to know specifically, which
algebraic topics to give more attention.
Web Resources & Supplementary Materials
Introductory
Activity
The Introductory Activity is a Pretest
that can be downloaded here. The Pretest can be score using
the Pretest Key.
Enabling
Activity
The students will be accessing this website, Purplemath.com.
Through this site they can choose different modules of Algebra, and then
select the topic they will review and present to the group.
Culminating
Activity
Students will use the forms provided to summarize their lessons
for the small groups. They will also complete the posttest.
The postest can be scored using the Key.
Results
Sample results
. Blank chart for results.
Final Presentation
Happy Valley
Elementary School
Anderson,
California
Rick Zeller
joggerz@yahoo.com
Last Revised:
06/03/01 |
