SKMA 097 - Algebra I

1. Students will develop their skills in number patterns, relationships, and computation.
   1. Compute (add, subtract, multiply and divide) with signed numbers without the use of a calculator.
   2. Simplify numerical expressions with multiple operations and grouping symbols using the order of operations.
   3. Simplify rates and ratios.
   4. Compute the opposite, reciprocal, and absolute value of a given real number.
   5. Estimate the value of a numerical expression.
   6. Identify an approximate answer to an application problem prior to working it out.
   7. Identify the appropriate unit of an answer to a word problem.
2. Students will develop their skills in the computation and recognition of algebraic expressions.
   1. Add, subtract, and multiply polynomial expressions.
   2. Simplify algebraic expressions with multiple operations and grouping symbols using the order of operations.
   3. Simplify algebraic expressions using the rules of exponents.
   4. Simplify algebraic expressions using the distributive property.
   5. Compare and contrast terms and factors.
   6. Simplify rational expressions.
   7. Factor polynomials by taking out a common factor.
   8. Factor trinomials.
   9. Factor binomials of the form x2 - y2
   10. Identify an algebraic expression that cannot be factored.
   11. Compute the opposite and reciprocal of a given algebraic expression.
   12. Identify and give examples of like and unlike terms.
   13. Identify and give examples of linear, quadratic, rational, and radical expressions.
   14. Compare and contrast expressions and equations.
3. Student can solve a variety of equations, inequalities, and systems of equations.
   1. Solve a variety of linear, quadratic (using the factoring method and the quadratic formula), radical, and rational equations.
   2. Verify the solution of an equation.
   3. Recognize situations in which an equation has no solution or has multiple solutions.
   4. Solve a variety of linear inequalities.
   5. Verify the solution of a linear inequality.
   6. Recognize situations in which a linear inequality has no solution or multiple solutions.
   7. Use interval notation, relational symbols <, >, <, >) dimensional graph, or a verbal description to describe a set of numbers.
   8. Solve a variety of systems of linear equations.
   9. Verify the solution of a system of linear equations.
   10. Recognize situations in which a system of linear equations has no solution or multiple solutions.
4. Student can recognize and understand concepts related to linear functions.
   1. Solve linear equations algebraically, graphically, and numerically.
   2. Solve systems of linear equations algebraically, graphically, and numerically.
   3. Compute the slope of a line in a variety of contexts.
   4. Identify the slope of a line as positive, negative, zero, or undefined.
   5. Interpret the slope of a line in context as a rate of change.
   6. Compute the y-intercept of a line in a variety of contexts.
   7. Interpret the y-intercept of a line in context as an initial amount.
   8. Compute the equation of a line in form in a variety of contexts.
5. Students will develop their skills in the construction and interpretation of Cartesian graphs.
   1. Construct the graph of a line if given the equation of the line.
   2. Identify an appropriate scale for both axes when constructing a graph.
   3. Approximate one coordinate of a point on a graph is given the other.
   4. Identify graphs as linear or non-linear.
6. Students will develop their problem-solving skills.
   1. Set up an equation or expression if given a word phrase.
   2. Describe in words the meaning of an expression or equation.
   3. Solve a variety of real world problems using the tools of algebra and mathematical modeling.
7. Students will communicate effectively about mathematics.
   1. Use mathematics terminology effectively in writing and speaking.