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.