Algebra I Part 1 Objectives

• Using Algebraic Concepts
  1. Translate between verbal description and symbols. (A.2)
  2. Substitute given replacement values into an expression. (A.2)
  3. Use computational techniques to evaluate and simplify algebraic expressions. These techniques include mental mathematics, paper and pencil, calculator and computer. (A.2)
  4. Create and interpret pictorial representations for simplifying expressions. (A.3)
  5. Develop and apply strategies for simplifying and evaluating numerical and algebraic expressions to solve real-world problems.
  6. Identify properties of real numbers. (A.3)
  7. Simplify expressions and justify steps by use of concrete objects, pictorial representations, and properties of real numbers. (A.3)
  8. Apply laws of exponents to simplify and evaluate expressions. (A.10)
  9. Simplify expressions by adding and subtracting polynomials using concrete objects, pictorial representations, and algebraic manipulations. (A.11)
  10. Simplify expressions by multiplying polynomials using concrete objects, pictorial representations, and algebraic manipulations. (A.11)
  11. Simplify expressions by dividing polynomials with monomial divisors using concrete objects, pictorial representations, and algebraic manipulations. (A.11)
  12. Approximate square roots to the nearest tenth. (A.13)
  13. Use a calculator to compute decimal approximations of radical numbers. (A.13)
• Linear Equations and Inequalities
  1. Solve first degree equations and inequalities in one variable algebraically and apply these techniques to solve practical problems: justify steps in the solution of equations and inequalities in one variable using concrete objects, pictorial representations, and properties of real numbers. (A.1)
  2. Investigate concepts related to proportions and apply to real-world situations.
  3. Solve literal equations (formulas) for a given variable and apply these skills to solve practical problems. (A.1)
  4. Determine whether a given solution satisfies an equation or inequality algebraically and by using a graphing calculator. (A.1)
  5. Translate real-world problems and data into mathematical models and analyze using available technology. (A.1, A.2)
• Geometry
  1. Investigate fundamental concepts and properties of triangles.
  2. Examine properties of angles and relationships between pairs of angles.
  3. Apply concepts and properties of measurement to plane geometric figures.
  4. Apply the Pythagorean Theorem to real-world and problem-solving situations.
• Relations and Functions: Linear
  1. Graph a linear equation using a table of values. (A.5)
  2. Graph a linear equation given in slope-intercept form. (A.6)
  3. Graph a linear equation using x and y intercepts. (A.6)
  4. Graph a linear equation using transformations. (A.6)
  5. Graph a linear equation using a calculator. (A.6)
  6. Determine the slope given a linear equations. (A.7)
  7. Determine the slope given the graph of a line. (A.7)
  8. Determine the slope given two points. (A.7)
  9. Determine the domain and range of a relation given a set of ordered pairs. (A.5)
  10. Determine the domain and range of a relation given a graph. (A.5)
  11. Determine whether a relation is a function given a graph. (A.5)
  12. Determine whether a relation is a function given a set of ordered pairs. (A.5)
  13. Determine whether lines are parallel or perpendicular using their slopes.
• Data Analysis
  1. Compare, compute and interpret measures of central tendency (mean, median, and mode) and range for a given set of data. (A.17)
  2. Compare and contrast multiple one-variable data sets using stem-and-leaf plots.
  3. Compare and contrast multiple one-variable data sets using box-and-whiskers plots. (A.17)
  4. Employ numerical, graphical and symbolic representations to organize and analyze data. (A.5)