Learning Targets



Targets for Chapter 1--Preliminary Information and Skills

  • 1-1 Identify sets to which numbers belong
  • 1-2 Use the distributive property
  • 1-3 Evaluate and simplify expressions with variables
  • 1-4 Name polynomials
  • 1-5 Solve basic linear, quadratic, and absolute value equations
  • 1-6 Solve basic linear, compound, and absolute value inequalities

Targets for Chapter 2--Relations and Functions

  • 2-1, 2-2 Plot the graph of a function given an equation; give the domain and range of a function
  • 2-4 Graph relations and functions using a table, and identify relations that are functions.

Targets for Chapter 3--Linear Functions

  • 3-1 Graph linear functions using a table.
  • 3-2 Plot a linear function quickly using the slope and y-intercept.
  • 3-3 Transform linear equations from one form to another--point-slope, y-intercept, and standard forms.
  • 3-4 Write equations of lines given different criteria.
  • 3-5 Use linear functions as mathematical models.

Targets for Chapter 4--Systems of Linear Equations and Inequalities

  • 4-1 Solve linear systems by graphing.
  • 4-2 Solve linear systems using the addition and substitution methods.
  • 4-3 Solve linear systems using second order determinants (Cramer's Rule)
  • 4-4 Use function notation
  • 4-4 Use systems as mathematical models
  • 4-6 Solve linear systems with 3 or more variables.
  • 4-10 Solve systems of linear inequalities
  • 4-11 Solve linear programming problems.


Targets for Chapter 5--Quadratic Functions

  • 5-1 Graph quadratic functions using a table
  • 5-2 Transform quadratic functions to vertex form and find the vertex.
  • 5-3 Use the quadratic formula to find x-intercepts.
  • 5-3 Analyze and graph quadratic functions showing the vertex and all intercepts.
  • 5-4 Use the quadratic formula to find complex (imaginary and real) solutions to quadratic equations.
  • 5-5 Analyze and evaluate quadratic functions (without graphing).
  • 5-6 Write quadratic functions given 3 points or given a vertex and a point on the graph.
  • 5-7 Use quadratic models to solve problems.

Targets for Chapter 6--Exponential and Logarithmic Functions

  • 6-1 Graph exponential functions using a table.
  • 6-2 Evaluate expressions with exponents using the definition of exponent.
  • 6-3 Simplify expressions using the properties of positive integer exponents.
  • 6-4 Simplify expressions using the properties of rational exponents.
  • 6-5 Simplify expressions containing radicals and rational exponents without a calculator.
  • 6-6 Transform numbers to and from scientific notation.
  • 6-8 Solve exponential equations using base 10 logs.
  • 6-9 Use the definition of logarithm to solve log equations.
  • 6-10 Use properties of logs to solve equations.
  • 6-11 Use the change-of-base property of logs; apply properties of natural logs.
  • 6-12 Find and graph inverses of functions.
  • 6-14 Use exponential functions as models.


Targets for Chapter 7--Rational Functions

  • 7-1 Graph rational functions using a table of values.
  • 7-2 Simplify and graph rational functions showing discontinuities.
  • 7-3 Factor polynomials completely.
  • 7-4 Factor a sum or difference of cubes, factor by splitting the middle term, and factor mixed polynomials when you are not given the method to use.
  • 7-5 Divide polynomials using long division.
  • 7-6 Factor cubic and higher degree polynomials using the factor theorem.
  • 7-7 Find products and quotients of rational expressions.
  • 7-8 Find sums and differences of rational expressions.
  • 7-9 Graph rational functions showing all asymptotes and discontinuities.
  • 7-10 Solve rational equations.
  • 7-11 Solve variation word problems.

Targets for Chapter 8--Irrational Functions

  • 8-1, 8-2 Graph irrational functions using a table of values.
  • 8-3 Simplify radical expressions.
  • 8-4 Solve radical equations.

Targets for Chapter 9--Quadratic Relations

  • 9-2 Graph circles by completing the square to find the center and radius.
  • 9-3 Graph ellipses by completing the square to find the center and two radii.
  • 9-5 Graph parabolas showing the vertex and intercepts.

Targets for Chapter 10--Higher Degree Polynomial Functions

  • 10-1 Graph cubic polynomial functions using a table.
  • 10-3 Solve quadratic equations over the set of complex numbers.
  • 10-4 Graph polynomial functions of degree 3+ using synthetic division to find zeros of the function, and using left- and right-hand behavior.



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