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THINKING SKILLS: INTEGRATING LIBRARY RESOURCES WITH LEARNING OBJECTIVES 

Keeley Library   August 22, 2000
Math Connections
Book 1A, 1B
COURSE: (10503)?
Math Connections
Book 1A,, 1B
(Is this Tech Prep Math ?
STANDARD
NUMBER
CONTENT AND PERFORMANCE
OBJECTIVES
                                                                            Note: Standard numbers  with M = assumptions of prior knowledge
Keeley Library Resources : Click on the Internet Links in the First Column on the Left
Mathematics
 
 

 

1H1

1M11

 

CONTENT: Operations with Exponents Students apply operations with powers and roots, including fractional and negative exponents, to the solution of problems. Apply powers and roots to solution of problems. Extend the order of operations to include exponents.
PERFORMANCE: Problem Solving Students will apply the rules of exponents to various problems. Short Answer
  • Mathematics

  • Collaborative Work
     
     
     

     

    1H2

    1M5

    1M9
     

    CONTENT: Estimation Skills: Use Estimation to judge the reasonableness of results of computations and of solutions to problems involving real numbers. Estimate results of computations with whole numbers., fractions, decimals, and percentages. Estimate and compute with fractions, decimals, percentages, and integers.
    PERFORMANCE: Problem Solving Students work in groups to compare electronically generated answers to answers generated by mental math. True/ False
    Mathematics
     
     
     
     

     

    2H1

    1M7

    1M11

     

    CONTENT: Order of Operations  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. Apply the order of operations, including parentheses. Apply the powers and roots to the solution of problems. Extend the order of operations to include exponents.
    PERFORMANCE: Explanation  Students look at completed computations and determine which are correct. Short answer
  • Mathematics
  • Collaborative Work

  •  

     
     
     
     
     
     
     
     
     
     

     

    2H2

    2M2

    2M7

     

    CONTENT: Solving Word Problems: Students identify problem situations that lead to linear, quadratic, or exponential equations and solve by applying appropriate graphical, tabular, or symbolic methods. Students describe strategies for solving linear equations using concrete models, tables, graphs, and paper-pencil methods. Students analyze and extract information from graphs.
    PERFORMANCE: Problem Solving  Students work in groups to read problems and formulate equations. short answer
  • Mathematics

  • Collaborative Work
     
     

     

    2H3

    2M2
     

     

    CONTENT: Solving Word Problems Use Algebra and graphical methods to solve systems of   linear equations and inequalities,  and describe relationships between different solution methods. Describe strategies for solving linear equations using concrete models, tables, graphs, and paper pencil methods. 
    PERFORMANCE: Problem Solving Students will work in groups to solve word problems. Short answers
  • Mathematics

  • Collaborative Work
     
     
     

     

    2H4

    1M16

    2M9
     

    CONTENT: Working with Matrices Use systems of equations or inequalities to represent mathematical relationships  and to solve problems. Identify the properties of operations on integers and rational numbers, including closure, associativity, commutativiity, distributivity, identity and inverse. Represent and solve single-variable inequalities using symbols and graphs.
    PERFORMANCE:  Explanation of Matrices Students will work in  groups to solve various matrices problems  Short answer
  • Mathematics

  • Need to create guide for producing a graph or  link to Microsoft or other tutorals here.
     

     

    2H5

    2M4

     

    CONTENT: Graphing Equations Students 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: Produce a Graph from a Linear Equation Students work in groups to produce tables and graphs. Produce a graph
  • Mathematics

  • Collaborative Work
     
     
     

     

    2H6

    2M11
     

     

    CONTENT: Direct and Inverse Variation Students will solve problems involving direct and inverse variation. Explain and generalize how a change in one variable results in a change in another variable  in functional relationships...
    PERFORMANCE: Solve Problems Involving Direct and Inverse Variation  Students will work in  groups to solve problems involving real world direct and inverse variations.. Short answer
  • Mathematics

  • Collaborative Work
     
     
     
     

     

    3H1

    1M16

    4M8

     

    CONTENT Sum of the  Angles of a Polygon Students use deduction to establish the validity of geometric conjectures, and to prove theorems in Euclidean geometry. dentify the properties of operations on integers and rational numbers, including closure, associativity, commutativiity, distributivity, identity and inverse. Generalize the relationships between the number of sides  and the sums of the angle measures of polygons
    PERFORMANCE: ExplanationStudents work in pairs to find the sum of angles in various polygons. Short answer
  • Mathematics

  • Collaborative Work

     

    3H7

    1M11
     

     

    CONTENT: S Graph Theory Students describe characteristics of discrete geometry and apply to the solution of problems. Apply powers and roots to solution of problems. Extend the order of operations to include exponents.
    PERFORMANCE: Graph and Diagram: Students will work in groups to plot points, recognize patterns, and predict sequential figures Short answer
  • Mathematics

  • Collaborative Work
     
     
     
     
     

     

    3H8

    2M6
     
     
     
     

     

    CONTENT: Finding a Pattern-Triangular Numbers Identify and describe geometric patterns of change using recursive notation. Describe, complete, extend, analyze, generalize and create a wide variety of patterns, including iterative and recursive (e.g. Pascal's Triangle), and linear and non linear functional relationships.
    PERFORMANCE: Diagram, Problem Solving: Students work in groups to recognize a pattern, then translate that pattern into a formula that will generate the 80-th triangular number. Short answers
  • Mathematics

  • Collaborative Work
     
     

     

    5H1

    5M1

     

    CONTENT: Plotting Points  Represent data in a scatter plot. Use the scatter plot to make predictions. Describe data sets using the concepts of median, mean, mode, maximum and minimum, and range.
    PERFORMANCE: Graph Students work in pairs to plot points Short answers
  • Mathematics

  • Collaborative Work

     

    5H2

    2M7

     

    CONTENT: Graphing Equations: Find the "Line of Best Fit" from a set of data. Use tables an graphs  to compare linear, quadratic and exponential growth patterns.
    PERFORMANCE: Graphs, Tables and Equations Students work in groups to produce graphs, ordered pairs, and equations. Graphs/Short answer
  • Mathematics

  • Collaborative Work
     
     
     
     

     

    5H3

    5M5

    5M10
     

     

    CONTENT: Plotting and Graphing Select an appropriate
     graphical representation for a set  of data and use appropriate statistics, (e.g. mean, median, range, quartile, or percentile distribution to communicate information about data. Choose and apply appropriate measures of central tendency (mean, median, and mode) to represent a set of data.  Use box-and-whisker plots to represent data sets and  identify outliers. 
    PERFORMANCE Graph and Diagram Students will work in groups to construct graphs and line plots that involve mean, median, mode. Short answers, Fill in the blanks, Group Activities
  • Mathematics
  • Collaborative Work
  • Discussions, Debates, Persuasive  Essays
  • Oral Presentations
  • Surveys (Conducting)
  • 5H4

    5M8

    5M4
     

    CONTENT: Experiments With Sample Data  Students describe the effect of sample size and population size on the validity of predictions from a set of data. Design a fair game, and provide justification for fairness.
  • PERFORMANCE: Explanations Students take surveys in groups to predict outcomes Students demonstrate the ability to speak and write effectively.... Short Answer
  • Mathematics
  • Collaborative Work
  • Preparing for Oral Presentations
  • 5H5

    5M8
     

    CONTENT: Plotting and Graphing Students design a fair game and provide justification for fairness
    PERFORMANCE Graph, Diagram and Explanation Students will present games they invented to their classmates Presentation
  • Mathematics

  • Collaborative Work
     
     

     

    5H6

    5M6
     

     

    CONTENT: Probability :Describe the differences between the theoretical probability of simple events and the experimental probability from simulation. Use tree diagrams, tables and lists to describe sample spaces and  and to calculate  probabilities of independent and dependent events.
    PERFORMANCE: Problem Solving: Students work in groups to formulate and compare experimental and theoretical probabilities. Short answer

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    Jane Constant, Reference Librarian
    Keeley Library, B.M.C.Durfee High School of Fall River
    September, 1978  to  June, 2001