Common Curriculum Map. Discipline: Math Course: College Algebra


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1 Common Curriculum Map Discipline: Math Course: College Algebra August/September: 6A.5 Perform additions, subtraction and multiplication of complex numbers and graph the results in the complex plane 8a.4a Use algebraic methods to convert repeating decimals to fractions.. 8c.5 use polynomial, exponential to model situations 1)What forms of the linear equation do we use? 2)How do you know which method to use to solve a system of equations? 3)How does the solution of a quadratic equation relate to a quadratic function? 1)Distance and midpoint formula 2)Linear equations 3) slope 4)systems of equations 5)Quadratic equations 1) Find the intersection of two lines 2)Find the length and midpoint of a segment 3) Find the slope of a line 4) Determine whether two lines are parallel, perpendicular, or neither 5) Write linear equations from given data 6)Model real world situations by means of linear functions. 7) Add, subtract, multiply, and divide complex numbers 8)Solve quadratic equations using different methods 9)define and graph quadratic functions 10)model real world situations using quadratic functions. 1)Quiz 2) Chapter Test October: 6.C.4 Determine whether exact values or approximations are appropriate, 8.B.5 Use functions including polynomial and rational to describe numerical relationships
2 8B.4bUse the basic functions of absolute value, square root, linear, quadratic and step to describe numerical relationships 1)How do you identify a polynomial function? 2) How do the zeroes of the function relate to the graph of the function? 3)How do you tell if a function has a minimum or a maximum? Polynomial functions 1) Identify a polynomial function, 2) Evaluate a polynomial function using synthetic division 3) Apply the remainder theorem 4)Apply the factor theorem 5) Write a polynomial function for a given situation 6) Find the minimum and maximum of a quadratic function 7) Use graphing calculators for find the real roots of a polynomial equation 8) Solve polynomial equations by factoring and the use of the rational root theorem quiz chapter test November: 8.D.5 Formulate and solve nonlinear equations and systems including problems involving inverse 1) What is the difference between a linear inequality and a polynomial inequality in two variables? 2) What is linear programming? 3)When do you use linear programming? Inequalities 1)solve and graph linear inequalities in one variable
3 2)solve and graph polynomial inequalities in one variable 3)graph polynomial inequalities in two variables 4)graph the solution set of a system of inequalities 5)solve applied problems using linear programming December: 6.C.4 Determine whether exact values of approximations are appropriate 6.C.5Determine the level of accuracy needed 8.D.5 Formulate and solve nonlinear equations and systems including problems involving inverse 1)What is the difference between a function and a relation? 2)What are the rules for symmetry regarding functions? Function 1) identify a function 2)find the domain, range and zeros of a function 3)graph a function 4)perform operations on functions 5)find the inverse of a function 6)graph functions with two variables in a twodimensional coordinate system and to read the graph 7)form a function of one variable from a verbal description and find the minimums and maximums of the function chapter4 January:
4 6.B.5 Identify, represent and apply numbers expressed in exponential, logarithmic and scientific notation using contemporary technology 6.C.4 Determine whether exact values of approximations are appropriate 6.C.5Determine the level of accuracy needed 6.D.4Solve problems involving recipes of mixtures, financial calculations 6.D.5Solve problems involving loans, mortgages and other practical applications 7A.4b Apply formulas in a wide variety of theoretical and practical realworld applications 8.D.5 Formulate and solve nonlinear equations and systems including problems involving inverse 1) When do you use the various exponential equations? 2)What are the laws of exponents? Exponents and logarithms 1)define and apply integral exponents 2)define and apply rational exponents 3)define and use exponential functions February: 6.B.5 Identify, represent and apply numbers expressed in exponential, logarithmic and scientific notation using contemporary technology 6.C.4 Determine whether exact values of approximations are appropriate 6.C.5Determine the level of accuracy needed 6.D.4Solve problems involving recipes of mixtures, financial calculations 6.D.5Solve problems involving loans, mortgages and other practical applications 7A.4b Apply formulas in a wide variety of theoretical and practical realworld applications
5 8.D.5 Formulate and solve nonlinear equations and systems including problems involving inverse 3) What are the real world applications of exponential functions? 4) What are the real world applications of logarithmic functions? Exponents and logarithms 4) define and apply the natural exponential function 5) define and apply logarithms 6) solve exponential equations and to change logarithms from one base to another March: chapter 6 9.C.5a Perform and describe an original investigation of a geometric problem and verify the analysis and conclusions to an audience. 8.A.4b Represent mathematical patterns and describe their properties using variables and mathematical symbols. 8.B.5 Use functions including exponential, polynomial, rational, parametric, logarithmic, and trigonometric to describe numerical relationships 8.C.4a Analyze and report the effects of changing coefficients, exponents and other parameters on functions and their graphs 8.D.5 Formulate and solve nonlinear equations any systems chapter 6 1) How do you identity a second degree equation as a parabola, ellipse, circle, or hyperbolas? 2) How do you solve systems of equations involving conic sections? chapter 6 conic sections Chapter 6 1) find equations of circles 2)find the coordinates of any points where circles and lines meet 3)find and graph equations of ellipses 4)find and graph equations of hyperbolas 5)find and graph equations of parabolas
6 6) solve systems of seconddegree equations Chapter 6 April: 3 8.C.5 use polynomial, exponential to model situations 8.A.4b Represent mathematical patterns and describe their properties using variables and mathematical symbols. 8B.4bUse the basic functions of absolute value, square root, linear, quadratic and step to describe numerical relationships 3 1) What does sigma notation do? 2) How do you determine whether a function is arithmetic or geometric? 3) What does it mean to find the limit of a function? chapter 13Sequences and Series 3 1) Identify an arithmetic sequence and find a formula for its nth term 2) Find the sum of the first n terms of arithmetic or geometric series 3) find or estimate the limit of an infinite sequence or to determine that the limit does not exist 4) Find the sum of an infinite geometric series 5) Represent series using sigma notation 3 May/June: chapter C.4a Solve problems of chance using the principles of probability including conditions settings 10.C.5a Compute conditional probabilities and the probabilities of independent events 10.C.4c interpret discrete probability distributions, with and without the use of technology 10.C.5c Make predictions using probabilities associated with normally distributed events. 6 1)What is the difference between dependent and independent events? 2) How does the binomial theorem work?
7 chapter 16Probablity 6 1) Find a sample space of an experiment and the probability of an event or either of two events. 2) Find the probability of events occurring together and to determine whether two events are independent 3) Use the binomial probability theorem to find the probability of a given outcome Chapter16
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