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THINKING SKILLS: INTEGRATING LIBRARY RESOURCES WITH LEARNING OBJECTIVES 

Keeley Library     Revised  August 21, 2000
TECH MATH 2
COURSE:10523  TECH MATH 2
STANDARD
NUMBER
CONTENT AND PERFORMANCE
OBJECTIVES
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: Apply the rules of exponents to various problems. Short answer
  • Mathematics

  • Collaborative Work

     

    1H2

    1M5

    1M9

     

    CONTENT: Estimating 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 tocompare electronically generated answers to answers generated by mental math. True/ False
  • Mathematics

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    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
     
     
     

     

    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
  • Collaborative Work

  • The following guide may also be useful for students who need to locate statistics for projects.
  • Statistics
  • 2H5

    2M4
     

     

    CONTENT: 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. identify 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: Explanation Students work in pairs to find the sum of angles in various polygons.
    Short answer
  • Mathematics

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    3H2

    4M1

    3M10

    3M11
     
     

     

    CONTENT: Geometric Constructions: Students construct congruent and similar figures using a compass, straightedge, manipulaitves and other tools.Solve   problems involving proportional relationships and units of measurement. e.g. scale models, maps and speed. Use technology, straightedge, compass or other tools to formulate and test conjectures and to make geometric constructions. Classify figures in terms of congruence and similarity, and apply these relationships to the solution of problems
    PERFORMANCE Problem solving and Diagrams: Students will demonstrate a proficient use of geometric tools and problem solving
    Fill in the blanks, Geometric construction
  • Collaborative Work

  • Preparing for Oral Presentations, Posters, etc.
     
     
     

     

    3H3

    3M8
     

     

    CONTENT: Students derive and apply properties of angles, arcs, chords, tangents, and secants to solve problems involving circles. Describe angles formed by intersecting lines, and relationships among them.
    PERFORMANCE: Students work in groups to construct posters involving circles. Multiple choice, true/false, cooperative activities
    Mathematics
     
     
     
     
     
     
     
     

     

    3H4

    3M4

    2M10

    2M8

     

    CONTENT: Parallel and Perpendiculars Apply the geometry of linear graphs to parallel and perpendicular lines, and perform and interrupt transformation of coordinates. Graph points on the Cartesian coordinate plane and  identify coordinates of points. Identify the slope of a line  as a constant rate of change from its table of values ,equation and graph. Apply the concept of slope to the solution of problems. Demonstrate proficiency in solving linear equations and their applications using technology, graphs, and algebraic methods.
    PERFORMANCE: Explanation : Student works alone to determine if a pair of lines are parallel, perpendicular, or neither. Short answer
  • Mathematics

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    3H5

    3M7

    3M8
     

    CONTENT: Applying Trigonometric Ratios Apply trigonometric ratios in right triangles to solve problems. Explain the meaning of the Pythagorean Theorem, and apply the theorem to the solution of problems. Describe angles formed by intersecting lines, and relationships among them.
    PERFORMANCE: Problem Solving and Diagrams Student will solve similar triangles, problems with trig ratios, and percents. Short answer, True/ False,  Fill in the blanks
  • Mathematics

  • Collaborative Work
     

     

    3H6

    3M9

    3M5

    CONTENT: Students apply and interpret transformation on figures in the coordinate plane. Predict the results of transformations of the new coordinate plane and draw the transformed figure. Describe and perform transformations on shapes, e.g. translations, rotations,  and reflections
    PERFORMANCE: Students work in groups to scale objects. Graph/ Construction.
  • 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
  • Writing Essays

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    4H1

    3M7

     

    CONTENT: Equipment Forms  Use deduction to establish validity of geometric conjectures and to prove theorems in Euclidean Geometry. Explain the meaning of the Pythagorean Theorem, and apply the theorem to the solution of problems.
    PERFORMANCE: Tables and Graphs Groups produce tables and graphs from equation Short answer/Essay
  • Mathematics

  • Collaborative Work
     

     

    4H2

    4M6

     

    CONTENT: Measurement Skills Use simple tools (such as a clinometer) to solve indirect measurement problems. Use proportions to model and solve indirect measurement problems.
    PERFORMANCE: Diagrams, Explanations Students will work in groups to construct models using various measurement tools. Group projects, Short Answers
  • Mathematics
  • Collaborative Work

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    4H3

    4M1
     

     

    CONTENT: Using Similar Triangles Apply the ratio of similarity including the geometric means and the relationships of special triangles. Solve problems involving proportional relationships and units of measurement. e.g. scale models, maps and speed.
    PERFORMANCE: Diagram and Solve a Similar Triangle Students work in groups to construct similar triangles. Short answers
  • Mathematics

  • Collaborative Work

     

    4H4
    Estimate 
    Results of
    computations
     

     

    CONTENT: Weighted Averages Describe the effect of rounding on measurements and computed values from measurements. Estimate results of computations with whole numbers, fractions, decimals and percents.
    PERFORMANCE: Problem Solving Students solve problems in pairs.  Short answers
    Mathematics
     
     
     
     

     

    4H5

    4M9

     

    CONTENT: Surface , Areas and Volume  Apply formulas for surface area and volume .Apply formulas and procedures for determining measures, including areas of polygons, and volumes and surface areas or prisms, cylinders, and spheres.
    PERFORMANCE: Problem Solving and Explanation Students will find surface areas and volumes of real world shapes. 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   and line plots that involve mean, median, mode.
    Short answers, Fill in the blanks, Group Activities
  • Design Team Product Development/Collaborative Work
  • Preparing for Discussions, Debates, Persuasive  Essays
  • Preparing for Oral Presentations, Posters, etc.
  • Surveys (Conducting)

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    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. Make inferences about a
    characteristic of a population from a well constructed
    sample. e.g. capture, recapture. Find probabilities of events
    with equally likely outcomes. 
    PERFORMANCE: Explanations Students take surveys in groups to predict outcomes. Students demonstrate the ability to speak and write effectively.... Short Answer
  • Design Team Product Development/Collaborative Work
  • Preparing for Oral Presentations, Posters, etc.

  •  
    5H5

    5M8

     

    CONTENT: Plotting and Graphing Students design a fair game and provide justification for fairness. Make inferences about a characteristic of a population from a well constructed
    sample. e.g. capture, recapture
    PERFORMANCE Graph, Diagram and Explanation Students will present games they invented to their classmates
    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.
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    Jane Constant, Reference Librarian
    Keeley Library, B.M.C.Durfee High School of Fall River
    September, 1978  to  June, 2001