Course Summary
Credit Type:
Organization's ID:
S1 - 128827997, S2 - 128828149
4 weeks (120 hours)
Dates Offered:
Credit Recommendation & Competencies
Level Credits (SH) Subject
Lower-Division Baccalaureate 2 intermediate algebra


The course objective is to build upon the foundations established in pre-algebra and basic mathematics to develop a growing understanding of how to perform operations and solve problems with real numbers. Students will focus on the importance of linear relations; develop fluency with the language and operations of algebra to analyze and represent relationships; and perform exercises to demonstrate understanding. Students will explore quadratic equations, including solving, graphing, and interpreting quadratic graphs; work with exponential functions; identify if a sequence is arithmetic or geometric and use this knowledge to identify missing terms in a sequence; and create and analyze data sets.

Learning Outcomes:

  • Add, subtract, divide and multiply with real numbers
  • Solve equations and inequalities with one variable
  • Graph linear functions and inequalities
  • Solve systems of equations
  • Add, subtract, multiply and factor polynomials
  • Solve and graph quadratics
  • Identify parts of an exponential function and compare exponential, linear, and quadratic tables, graphs, and functions
  • Create the formula and find terms for arithmetic and geometric sequences
  • Analyze data to find measures of center and create data graphs
  • Analyze a scatter plot to find the line of best fit

General Topics:

  • Working with real numbers
  • Adding and subtracting rational numbers
  • Multiplying and dividing fractions Properties of real numbers
  • Order of operations
  • Identifying and simplifying variable expressions
  • Solving one-step equations
  • Solving two-step equations
  • Solving equations with variables on both sides
  • Solving multi-step equations
  • Solving absolute value equations
  • Literal equations
  • Introduction to inequalities
  • One and two-step inequalities
  • Multi-step inequalities
  • Relations
  • Functions
  • Rate of change and slope
  • Direct variation
  • Slope intercept form
  • Standard form
  • Point slope form
  • Linear inequalities
  • Solving systems by graphing
  • Solving systems by substitution
  • Solving systems by elimination
  • Systems of linear inequalities
  • Parts of a polynomial
  • Adding and subtracting with polynomials
  • Multiplying polynomials
  • Multiplying special cases of polynomials
  • Greatest common factor
  • Using GCF to factor
  • Factoring with a coefficient of 1
  • Factoring special cases
  • Solving quadratics by taking square roots
  • Solving quadratics by factoring
  • Solving quadratics by completing the square
  • Solving quadratics with the quadratic formula
  • Introduction to quadratic graphs
  • Horizontal and vertical shifts
  • Stretches and shrinks
  • Solving quadratics by graphing
  • Systems of linear and quadratic equations
  • Exponential growth and decay
  • Exponential, linear, and quadratic graphs
  • Compare exponential, linear, and quadratic tables
  • Compare exponential, linear, and quadratic models
  • Arithmetic sequences
  • Geometric sequences
  • Mean, median, mode
  • Interquartile range
  • Dot plots, histograms, and box plots
  • Scatterplots
  • Linear models with data
Instruction & Assessment

Instructional Strategies:

  • Audio Visual Materials
  • Computer Based Training
  • Discussion
  • Learner Presentations
  • Practical Exercises
  • Project-based Instruction

Methods of Assessment:

  • Other
  • Performance Rubrics (Checklists)
  • Quizzes
  • scenarios, teacher facilitated discussions

Minimum Passing Score:

Supplemental Materials

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