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THINKING SKILLS: INTEGRATING LIBRARY RESOURCES WITH LEARNING OBJECTIVES 

Keeley Library  June 14, 2000
GEOMETRY
COURSE:  10212, 10201
GEOMETRY
STANDARD
NUMBER
CONTENT AND PERFORMANCE
  • OBJECTIVES
  • Keeley Library Resources : Click on the Internet Links in the First Column on the Left.
  • Mathematics

  • Discussions, Debates, Persuasive  Essays
     
     
     
     
     

     

    3H1

    1M16

    4M8
     
     

     

    CONTENT: Inductive and Deductive Reasoning 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: Proof Students organize and execute a formal proof alone. Proof
  • Mathematics

  • Team Product/Collaborative Work
     
     
     
     
     
     
     

     

    3H2

    4M1

    3M10
     
     
     

     

    CONTENT: Constructing Geometric Figures Students construct congruent and similar figures. 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. Use technology, straightedge, compass or other tools to formulate and test conjectures and to make geometric constructions. 
    PERFORMANCE: Construct Construct scale drawings in a group. Students demonstrate leadership and membership skills in a group. Group Projects
    Mathematics
     
     
     
     
     

     

    3H3

    3M8
     
     

     

    CONTENT: Angle Relationships  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: Problem Solving Students identify and calculate angle sizes and relationships alone. Short Answers.
    Mathematics
     
     
     
     
     
     
     
     
     
     

     

    3H4

    3M4

    2M10

    2M8
     
     
     

     

    CONTENT: Parallel and Perpendicular Lines 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: Problem Solving:   Students show and understand parallel and perpendicular lines and relationships of angles.  Short Answer
  • Mathematics

  • Related Engineering pages:
  • Applied Sciences and Technology
  • Engineering and Allied Sciences
  • Buildings
  • Manufacturing

  •  
    3H5

    1M2

    2M5

    3M1
     

    CONTENT: Trigonometric Ratios Apply trigonometric ratios in right triangles to solve problems. Apply ratios and proportions to the solution of problems. Model situations with proportional relationships and solve problems. Identify properties of polygons.
    PERFORMANCE: Problem Solving:   Students solve real world problems by determining and applying the appropriate trig ratio. Problem Solving and Explanation
  • Mathematics

  • Team Product/Collaborative Work
     
     

     

    3H6

    3M9

    3M5
     

     

    CONTENT: Similarity : 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: Problem Solving, Diagram Students work in groups to scale objects. Graph/ Construction.
  • Mathematics

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

     

    3H7

    5H7
     
     

     

    CONTENT: Statistics-Line of Best Fit Students describe characteristics of discrete geometry and apply to the solution of problems. Differentiate between continuous and discrete data and ways to represent them.
    PERFORMANCE: Graph : Students shall draw a line or graph of best fit based on statistical data.  Graph
  • Mathematics

  • Team Product/Collaborative Work
     
     
     
     

     

    3H8

    2M6
     
     
     
     
     

     

    CONTENT: Finding a Patterm: 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
  • Team Product Development/Collaborative Work

  • Oral Presentations, Posters, etc.
     
     
     
     

     

    4H1

    4M9
     
     
     
     
     

     

    CONTENT: Students relate changes in the measurement of one attribute of an object to changes in other attributes. Apply formulas and procedures for determining measures, including areas of polygons, and volumes and surface areas or prisms, cylinders, and spheres.
    PERFORMANCE: Using given dimensions and calculated areas of solid figures, students shall draw conclusions in a small group setting. Explanation of conclusions drawn in group work.
  • Mathematics

  • Team Product/Collaborative Work
     
     
     
     

     

    4H2

    3M10
     
     
     
     

     

    CONTENT: Tools of Geometry Use simple tools (such as a clinometer) to solve indirect measurement problems. Use technology, straightedge, compass or other tools to formulate and test conjectures and to make geometric constructions. 
    PERFORMANCE: Measure and Construct Angles Students will work in groups to construct models using various measurement tools. Short Answer and  True/False
    Mathematics
     
     
     
     

     

    4H3

    3M11
     
     
     

     

    CONTENT: Similarity  Apply the ratio of similarity including the geometric means and the relationships of special triangles. Classify figures in terms of congruence and similarity, and apply these relationships to the solution of problems.
    PERFORMANCE: Diagram & Problem Solving  Students will use ratios & proportions to solve problems involving similar figures.  . Short answers
  • Mathematics

  • Need to add guide or links  for generating a schematic
     
     
     
     
     
     
     

     

    4H4

    1M13
     
     
     
     
     
     

     

    CONTENT: Finding the Area of an Irregular Figure Describe the effect of rounding on measurements and computed values from measurements. Estimate results of computations with whole numbers, fractions, decimals and percents.
    PERFORMANCE: Graph, Diagram, Estimation Students working individually will generate a schematic on graph paper depicting both underestimations and over-estimations for the area of  an irregular figure, then use these estimations to find the "best approximate area" for the irregular figure.  Graph
    Mathematics
     
     
     
     

     

    4H5

    4M9
     
     
     

     

    CONTENT: Volumes  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  Given radius, diameter and height, students will calculate volumes using appropriate formulas. . 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