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# Course Syllabus for Algebra I

## DoDEA Course Description

Major Concepts/Content: This course may be the most common entry level course for students who have had a rich and
varied middle level mathematics program. It expands upon basic algebraic concepts previously acquired and integrates those
principles with everyday life. The processes of problem solving, reasoning, communication and making connections are
emphasized. Students will use formulas, functions, and equations to describe and clarify relationships, and will use geometry
to represent algebraic relationships. Students will learn how to write and translate expressions into mathematical forms,
solve first and second degree equations, and use the concept of a function to model real-world phenomena.

Major Instructional Activities: Instructional activities will include tasks as well as problem solving situations which will
require students to experiment, collect data, search for patterns, make conjectures, and verify discoveries. Activities will be
structured to allow students to work in cooperative learning techniques and appropriate technology should be utilized
throughout the course. Students should have access to calculators at all times.

Major Evaluative Techniques: Many evaluative processes will be used to assess students' written and oral work. These
include multiple-choice, short answer, discussions, or open-ended interview; homework ; projects ; journals essays;
dramatizations; and class presentation. Testing formats will include restricted-time written tests, two staged tests, take home
tests, oral tests and student-produced tests. Assessment methods can be supplemented by student produced analysis of
problem situations, solutions to problems, reports on investigations, and journal entries. Students will be provided the
opportunity to do chapter projects that capture the concepts and skills presented throughout the chapter unit that emphasizes
real world situations.

Essential Expectations: Upon successful completion of Algebra I, the student should be able to:

• Understand and use operations such as opposite, reciprocal, raising to a power, and taking a root
• Compare numbers using order relations, differences, ratios, proportions, percents, proportional change
• Use concepts such as prime, relatively prime, factor, divisor, multiple, and divisibility in solving problems involving
integers
• Represent graphs of functions in standard coordinate systems
• Model given situations with formulas and functions, and interprets given formulas and functions in terms of
situations
• Describe, generalize, and use linear and exponential functions and explores other function: power, rational, square
and square root
• Define, use and manipulate expressions involving variables, parameters, constants, and unknowns in work with
formulas, functions, equations, and inequalities
• Represent functional relationships in formulas, tables, and graphs, and translates between pairs of these
• Solve equations symbolically, graphically, and numerically, especially linear, quadratic, and exponential equations;
and knows how to use the quadratic formula for solving quadratic equations
• Solve systems of linear equations symbolically, graphically, and numerically and applies them in real world
situations
• Use equations to represent lines and parabolas.
• Organize, analyzes, and displays two-variable data using scatter plots, estimated regression lines, and computergenerated
regression lines and correlation coefficients
• Interpret representations of data, compares distribution of data, and critiques conclusions and uses of statistics, both
in school materials and public documents
• Use technology to create graphs or spreadsheets that contribute to the understanding of a problem.

## Process and Content Mathematics Standards:

DoDEA Grades 9-12 Process and Content Mathematics Standards as applicable to Algebra 1 by unit of instruction based
upon the 2005-2006 Algebra 1 Curriculum Guide:

 Unit M1 M2 M3 M5 M6 M7 M8 M9 M10 Fall Semester Numbers and Operations Algebra Geometry Data Analysis and Probability Problem Solving Reasoning and Proof Communication Connections Representation 1st Quarter 1 x x x x 2 x x x x x 3 x x x x 2nd Quarter 4 x x x x x x 5 x x x x 6 x x x x x x Spring Semester

 Unit M1 M2 M3 M5 M6 M7 M8 M9 M10 Fall Semester Numbers and Operations Algebra Geometry Data Analysis and Probability Problem Solving Reasoning and Proof Communication Connections Representation 3rd Quarter 7 x x x x x x 8 x x x x x x 9 x x x x x x x 4th Quarter 10 x x x x x x 11 x x x x x x 12 x x x x x x x