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Algebra I

SKMA 097

Algebra I

SKMA 097

Course Description

Prerequisite: MATH LEVEL 3. Includes natural number, integers, first-degree equations and inequalities, special products, factoring, rational expressions and equations, graphs, and linear systems, exponents, and quadratic equations. May receive credit in only one of the following: MTH 107 or MTH 097 or SKMA 097 or SKMA 102. Does not earn credit toward graduation. (45-0)

Outcomes and Objectives

Students will develop their skills in number patterns, relationships, and computation.

Objectives:

  • Compute (add, subtract, multiply and divide) with signed numbers without the use of a calculator.
  • Simplify numerical expressions with multiple operations and grouping symbols using the order of operations.
  • Simplify rates and ratios.
  • Compute the opposite, reciprocal, and absolute value of a given real number.
  • Estimate the value of a numerical expression.
  • Identify an approximate answer to an application problem prior to working it out.
  • Identify the appropriate unit of an answer to a word problem.

Students will develop their skills in the computation and recognition of algebraic expressions.

Objectives:

  • Add, subtract, and multiply polynomial expressions.
  • Simplify algebraic expressions with multiple operations and grouping symbols using the order of operations.
  • Simplify algebraic expressions using the rules of exponents.
  • Simplify algebraic expressions using the distributive property.
  • Compare and contrast terms and factors.
  • Simplify rational expressions.
  • Factor polynomials by taking out a common factor.
  • Factor trinomials.
  • Factor binomials of the form x2 - y2
  • Identify an algebraic expression that cannot be factored.
  • Compute the opposite and reciprocal of a given algebraic expression.
  • Identify and give examples of like and unlike terms.
  • Identify and give examples of linear, quadratic, rational, and radical expressions.
  • Compare and contrast expressions and equations.

Student can solve a variety of equations, inequalities, and systems of equations.

Objectives:

  • Solve a variety of linear, quadratic (using the factoring method and the quadratic formula), radical, and rational equations.
  • Verify the solution of an equation.
  • Recognize situations in which an equation has no solution or has multiple solutions.
  • Solve a variety of linear inequalities.
  • Verify the solution of a linear inequality.
  • Recognize situations in which a linear inequality has no solution or multiple solutions.
  • Use interval notation, relational symbols <, >, <, >) dimensional graph, or a verbal description to describe a set of numbers.
  • Solve a variety of systems of linear equations.
  • Verify the solution of a system of linear equations.
  • Recognize situations in which a system of linear equations has no solution or multiple solutions.

Student can recognize and understand concepts related to linear functions.

Objectives:

  • Solve linear equations algebraically, graphically, and numerically.
  • Solve systems of linear equations algebraically, graphically, and numerically.
  • Compute the slope of a line in a variety of contexts.
  • Identify the slope of a line as positive, negative, zero, or undefined.
  • Interpret the slope of a line in context as a rate of change.
  • Compute the y-intercept of a line in a variety of contexts.
  • Interpret the y-intercept of a line in context as an initial amount.
  • Compute the equation of a line in form in a variety of contexts.

Students will develop their skills in the construction and interpretation of Cartesian graphs.

Objectives:

  • Construct the graph of a line if given the equation of the line.
  • Identify an appropriate scale for both axes when constructing a graph.
  • Approximate one coordinate of a point on a graph is given the other.
  • Identify graphs as linear or non-linear.

Students will develop their problem-solving skills.

Objectives:

  • Set up an equation or expression if given a word phrase.
  • Describe in words the meaning of an expression or equation.
  • Solve a variety of real world problems using the tools of algebra and mathematical modeling.

Students will communicate effectively about mathematics.

Objectives:

  • Use mathematics terminology effectively in writing and speaking.