1. PLANNED COURSE STATEMENT
Course Title: Algebra 1
Length of Course: 2 semesters
Grade Level: 9 - 12
Prerequisite: Pre-Algebra
Credit: 1.5 Credit is awarded based on the completion of mathematics standards.
Course Overview:
This curriculum emphasizes a multi-representational approach to algebra, with concepts, results,
and problems being expressed graphically, analytically, and verbally. It develops algebraic fluency
by providing students with the skills needed to solve equations and perform important
manipulations with numbers, variables, equations, and inequalities. In addition, the course develops
proficiency with operations involving monomial and polynomial expressions. The main unifying
themes of the course include understanding, writing, solving, and graphing linear equations,
systems of linear equations and inequalities, quadratic equations, rational equations, as well as data
representations and probability concepts.
Course Goals:
Upon completion of this course students will:
• Perform operations with real numbers
• Simplify and evaluate algebraic expressions
• Use equations to solve word problems
• Graph and solve problems involving inequalities and absolute value
• Graph and solve linear equations
• Solve systems of equations
• Solve many types of real-world problems
• Factor polynomial equations
• Understand relations and functions
• Solve quadratic equations
• Work with radical expressions and rational equations
Content Outline:
Algebra 1A
Data exploration
Bar graphs and dot plots; Measures of center; Five-number summaries and box plots;
Histograms

2. Basic algebra principles
Real numbers & algebraic expressions; Simplifying expressions; Solving equations; More
on solving equations
Inequalities & absolute values
Sets, intersections & unions; Inequalities & their graphs; Using inequalities; Solving
equations involving absolute values; More solving inequalities involving absolute values
Graphs of linear equations
Graphing linear equations; Slope in graphs & equations; Linear & nonlinear equations;
Finding the equation of a line; Parallel & Perpendicular lines; & linear inequalities
Systems of equations & inequalities
Systems of linear equations & their graphs; Solving systems of linear equations by
substitution; Solving systems of linear equations by elimination; Rate, work, digit, & coin
problems; Systems of linear inequalities
Algebra 1B
Exponents, monomials, and polynomials
Properties of exponents; Monomials; Polynomials; Factoring polynomials; Factoring special
polynomials
Relations, functions, & quadratic equations
Introduction to quadratic equations & their graphs; Solving quadratic equations by
factoring; Solving quadratic equations by completing the square; The quadratic formula;
Applications of quadratic equations; Functions & function notation
Rational & radical expressions & equations
Rational expressions; Special rational equations; Rational equations; Radical expressions;
Finding square roots; Radical equations
Transformations
Symmetry; Translations; Reflections; Rotations; Size transformations
Probability
Experimental and theoretical probabilities; Independent and dependent probabilities;
Multiple-stage experiments
Learning Activities:
This course is organized into ten units.
Each unit is comprised of lessons, and each lesson is broken down into two sections…
• Readings (textbook and/or objectives)
o This section provides the suggested readings from the course textbook and/or the learning
objectives for the lesson. Students must use this as a resource to guide them through the
lesson.
• Content/Multimedia (lectures, homework, and/or projects)
o Most lessons contain a multimedia presentation that provides the "lecture" portion of this
course. Students must participate in each lecture before moving on through the lesson.
o Included in the content/multimedia portion of each lesson are various homework
assignments. Students must complete each homework assignment with at least a 70% level
of proficiency. Answers are provided for students to self-correct their work.
o The last lesson in each unit contains a project related to the unit concepts. Students must
complete this project and turn it in before they will be allowed to take the unit test.

3. Assessment Procedures:
All assessments will be proficiency based.
This section must be completed at the RPA building. It is important that students do not take
the Unit Test unless they have completed their homework assignments, turned in their
project, and feel confident that they have mastered the content.
**Students who do not demonstrate proficiency on one or more standards for a
unit will be required to do test corrections and show evidence of completed
extra practice assignments before they will be allowed to attempt the retake**
Standards Addressed:
Algebra 1A
Data exploration
1S.3 – Use plots, graphs, range, and measures of center to compare and make conclusions
about data sets.
1S.5 – Construct, analyze, and interpret tables, plots, and graphs of data sets.
Basic algebra principles
1A.1 – Compare, order, and locate real numbers on a number line.
1A.4 – Apply algebraic properties to validate the equivalence of two expressions.
1A.7 – Simplify and evaluate algebraic expressions.
1A.8 – Solve algebraic equations for a given variable.
Inequalities & absolute values
1A.2 – Evaluate, compute with, and determine equivalent numeric and algebraic expressions
with real numbers.
2A.7 – Write, use, and solve linear inequalities using graphical and symbolic methods.
Graphs of linear equations
1A.1 – Compare, order, and locate real numbers.
2A.1 – Identify, construct, extend, and analyze linear patterns that are expressed
numerically, algebraically, graphically, or in tables.
2A.2 – Identify and interpret the meaning of the slope and intercepts, given a rule, context,
two points, table, graph, or linear equation.
2A.3 – Determine the equation of a linear relationship.
2A.4 – Convert among representations of linear relationships.
2A.7 – Write, use, and solve linear inequalities using graphical and symbolic methods.
Systems of equations & inequalities
1A.2 – Evaluate, compute with, and determine equivalent numeric and algebraic expressions
with real numbers.
2A.8 – Solve systems of linear inequalities graphically.
2A.9 – Compare and contrast the rate of change for various contexts.
Algebra 1B
Exponents, monomials, and polynomials
1A.2 – Evaluate, compute with, and determine equivalent numeric and algebraic expressions
with real numbers.
1A.5 – Factor quadratic expressions of the form ax 2 + bx + c .
1A.7 – Simplify and evaluate algebraic expressions.

4. Relations, functions, & quadratic equations
1A.2 – Evaluate, compute with, and determine equivalent numeric and algebraic expressions
with real numbers.
1A.5 – Factor quadratic expressions of the form ax 2 + bx + c .
1A.8 – Solve algebraic functions for a given variable.
3A.3 – Compare the characteristics of and distinguish among various types of functions that
are expressed algebraically or graphically, and interpret the domain and range of
each.
3A.5 – Given a quadratic function of the form ax 2 + bx + c , determine and interpret the
roots, vertex, and equation for axis of symmetry both graphically and algebraically.
3A.6 – Use the quadratic formula to find the roots of quadratic equations.
3A.7 – Use quadratic equations in context to solve problems
Rational & radical expressions & equations
1A.3 – Express square roots in equivalent radical form and their decimal approximations
when appropriate.
1A.7 – Simplify and evaluate algebraic expressions.
1A.8 – Solve algebraic equations for a given variable.
3G.4 – Apply the distance formula to solve problems.
Transformations
3G.1 – Recognize and identify line and rotational symmetry of figures.
3G.2 – Identify and perform transformations of figures.
Probability
2S.1 – Identify, analyze, and use both experimental and theoretical probability to estimate
and calculate the probability of simple events.
2S.3 – Compute and interpret probabilities for independent, dependent, conditional, and
compound events using various methods.