Make your own free website on Tripod.com
 
THINKING SKILLS: INTEGRATING LIBRARY RESOURCES WITH LEARNING OBJECTIVES 
Keeley Library        August 22, 2000
Pre Calculus
COURSE: 10301
Pre Calculus
STANDARD
NUMBER
CONTENT AND PERFORMANCE
OBJECTIVES
Keeley Library Resources : Click on the Internet Links in the First Column on the Left.
  • Mathematics
  • Collaborative Work

  •  
    1H4

    IH2
     

    CONTENT: Operating with Complex Numbers:  Define complex numbers and operate with them. Use Estimation to judge the reasonableness of results of computations and of solutions to problems involving real numbers.
    PERFORMANCE:  Problem Solving  Students will work in groups on a real world application using complex numbers. Short answer.
  • Mathematics
  • Using Computers for Assignments

  •    (to construct graphs etc See below).
     

     

    2H7

    2H5
     
     
     

     

    CONTENT: Exploring Exponential and Logarithmic Functions.  Describe and model phenomena using functions, including exponential, logarithmic, trigonometric, polynomial, rational, step, absolute value, and square root.  Describe similarities and differences among the families of linear, quadratic, and exponential functions using graphs, tables, formulas and verbal descriptions Describe the graphical significance of parameters.
    PERFORMANCE Tables and Short Answer Students will be asked to work alone using various exponential  and logarithmic equations to model and project growth and decay predictions.  Short answer
  • Mathematics
  • Collaborative Work
  • Using Computers for Assignments

  •   (to construct graphs etc. See below)
     

     

    2H8

    2H3
     
     
     
     

     

    CONTENT: Solving Exponential , Logarithmic, and Trigonometric Equations by Computing and Graphing    Solve polynomial, exponential, logarithmic trigonometric  equations, and equations with rational expressions by symbolic (quadratic) graphical and numerical methods. Apply each method when appropriate. Use Algebra and graphical methods to solve systems of   linear equations and inequalities,  and describe relationships between different solution methods.
    PERFORMANCE: Graph, Problem Solving:  Students will work  in groups to solve  and graph trigonometric, logarithmic and exponential relationships and equations.. Short Answer
  • Mathematics
  • computers
  • Using Computers for Assignments

  •    (to construct graphs etc. See below)

     

    2H10

    2H5
     
     
     
     

     

    CONTENT: Exploring Quadratic Functions Classify functions into families. Describe the effects of parameter changes on different representations of polynomial, rational, logarithmic, exponential and trigonometric functions.  Describe similarities and differences among the families of linear, quadratic, and exponential functions using graphs, tables, formulas and verbal descriptions Describe the graphical significance of parameters.
    PERFORMANCE: Graph and Explanation  Students will be able to translate ,reflect, and geometrically transform graphs of linear, quadratic, exponential and trigonometric  functions. Students apply the concepts of amplitude and phase shifts. Short answer. 
  • Mathematics

  • Collaborative Work
     
     

     

    2H11

    2M11
     
     

     

    CONTENT: Maximizing Profits and Minimizing costs Identify  maximum and minimum values of a function and use them in applications. Explain and generalize how a change in one variable results in a change in another variable  in functional relationships...
    PERFORMANCE: Problem Solving:  Students will be able to find first and second derivatives of polynomial functions, then find the maximum and minimum points of inflection. In addition, students will find the zeros of the function and sketch a graph of the function. Open-ended response.
  • Mathematics
  • Using Computers for Assignments

  •   (to construct graphs etc. See below)

     

    2H12

    2H1
     
     

     

    CONTENT: Composite Functions   Perform operations on functions, including compositions. Find inverses of functions. Demonstrate facility in transforming polynomial expressions by rearranging and collecting terms, factoring, and applying and applying the properties of exponents in order to solve problems.
    PERFORMANCE: Problem Solving  Students working individually will be given two defined functions f(x)and g(x) and ge asked to find fog(x) and 
    gof (x )for the two defined functions. Short answer. 
  • Mathematics

  • Writing Essays

     

    2H13

    3H6
     

     

    CONTENT: Examples of Period Functions in the  Real World  Model real work phenomena involving growth, decay, and periodic processes. Apply and interpret transformations on figures in the coordinate plane.
    PERFORMANCE: Essay   Students working alone will be asked to research real world phenomena to find examples in nature that can be modeled after a periodic function. Short essay
    Mathematics
     

     

    2H14

    3H8

     

    CONTENT: Finding the Sum of an Arithmetic Sequence   Identify arithmetic and geometric sequences and series and their properties. Solve problems including the n-th term recursively  and explicitly. Identify and describe geometric patterns of change using recursive notations.
    PERFORMANCE: Problem Solving Students will be asked to find the sum of the first 937 odd integers. Short answer. 
    Mathematics
     
     

     

    2H15

    3H8

     

    CONTENT: Using the Binomial Theorem: Define linear, exponential and quadratic functions recursively, and to find closed form expressions.  Identify and describe geometric patterns of change using recursive notations.
    PERFORMANCE: Problem Solving  Students working alone will use the Binomial Theorem in summation notation form to expand a binomial to some n-th power. Fill  in the blank
  • Mathematics

  • Collaborative Work
     

     

    3H9

    3H5

     

    CONTENT: Navigation   Derive and apply trigonometric identities and the law of sines and cosines. Apply trigonometric ratios in right triangles to solve problems.
    PERFORMANCE: Problem Solving  Students working in groups will solve navigation word  problems using both the law of cosines and the law of sines to solve the problem. Short answer. 
  • Mathematics

  • Collaborative Work
     

     

    4H6

    4M10
     

     

    CONTENT: Determining the Period of  a Pendulum  Describe the relationship between degree and radian measures ,and use radian measure in the solution of problems. Use  proportions to model and solve indirect measurement problems .
    PERFORMANCE:  Diagram, Problem Solving: Students working in groups  will solve real world problems involving the length and period of a pendulum which involves angular measures in radians. Short answer. 
    Mathematics
     
     
     

     

    4H7

    4H6
     

     

    CONTENT: Sports--Bicycle Wheel  Use dimensional analysis for unit conversion and to confirm that expressions and equations make sense. Describe the relationship between degree and radian measure.
    PERFORMANCE:  Problem Solving for miles/hour Students will be able to solve problems involving a rotating bicycle wheel -changing revolutions per minute to miles/hour. Short answer. 
    Note.The following guide may also be useful for students who need to locate statistics for projects. Statistics
    We would also  like to add links for online tutorials  to cover items assumed to be already learned, and  to help students who missed learning these concepts because of illness, etc. Microsoft has a number of tutorials. As we locate this information, we will place it as links  in the file, Using Computers for Assignments. Constructive criticism and suggestions are welcomed.

    Return to Making the Library Work for YOU Home Page
    Return to Teacher Pages
    Return to Critical Thinking
    Return to Thinking Skills: Integrating Library Resources With Learning Objectives
    Return to History Resources List
    Jane Constant, Reference Librarian
    Keeley Library, B.M.C.Durfee High School of Fall River
    September, 1978  to  June, 2001