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THINKING SKILLS: INTEGRATING LIBRARY RESOURCES WITH LEARNING OBJECTIVES 

Keeley Library  Revised August 21, 2000
ALGEBRA I
COURSE: 10101, 10122,          ALGEBRA I
STANDARD
NUMBER
CONTENT AND PERFORMANCE
OBJECTIVES
Note: Page numbers below refer to Glenco Algebra I     Standard numbers  with M= assumptions of prior knowledge
Keeley Library Resources : Click on the Internet Links in the First Column on the Left.
  • Mathematics
  • Writing Essays
  • Collaborative Work
  •  Oral Presentations

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    1H1

    1M11
     
     

     

    CONTENT: Operations with Monomials : 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, Explanation: Students will work in groups to solve a compound interest problem on how to save for college (p553). Essay, Open Ended
    Mathematics
     
     
     
     

     

    1H2

    1M5

    1M9

     

    CONTENT: Estimating: : 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, Explanation The consumerism task on page 136, Problem 59 (Glenco) Short answer.
  • Mathematics
  • Collaborative Work

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    2H1

    1M7

    1M11
     
     

     

    CONTENT: Evaluation with Formulas: 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: Diagram, Computation, Problem Solving: Students will work in groups to write polynomials  which represent areas of shaded regions. Short answer
  • Mathematics
  • Collaborative Work

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

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    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, Explanations, Interpret Graphs : Cooperative activity on Population Growth on page 647, #13/ (Glenco)
  • Mathematics

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

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    2H3

    2M2
     
     
     

     

    CONTENT: Systems of Equations: 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: Graphing, Problem Solving: Business problem: Balzoe Balloon Balls - find profits, losses, and analyzing graphs.
    Mathematics
     
     
     
     

     

    2H4

    1M16

    2M9
     
     

     

    CONTENT: Solve Systems of Equations: 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:  Problem Solving: The Geography, page 489, #44: Find coordinates of points, solve equations. Short answer
  • Mathematics

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

  • Note: We would like to add links for online tutorials here to cover items assumed to be already learned, and  to help students who missed learning concepts because of illness, etc. Microsoft has a number of tutorials. We will place them in the file, Using Computers for Assignments, as we find them.
    2H5
     

    2M4
     
     
     
     

     

    CONTENT: Equations as Relations: : 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.Students will be able to analyze graphs, and solve linear equations.
    PERFORMANCE: Graphs, Charts: Students demonstrate the skills needed for the productive use of technology. page 274, # 7 solving a linear equation by completing the chart. Short answer, fill-in-the- blank 
    Mathematics
     
     

     

    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: Problem solving : Page 277, #53 solving a problem with direct variation. Short answer
    Mathematics
     
     
     
     

     

    3H5

    3M7

    3M8
     

    CONTENT: 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: Produce a Hyposometer and Use it to Measure a Building: Page  209, Making a Hyposometer Open Response
    Mathematics
     
     
     
     

     

    3H7

    1M11
     
     

     

    CONTENT: Patterns and Sequences: Describe characteristics of Discrete Geometry (graph theory) and apply the solution to problems. Apply powers and roots to solution of problems. Extend the order of operations to include exponents.
    PERFORMANCE: Producing a List of Numbers Which Follow a Pattern.: Students will work alone on page 500, #39 to find the number of parts that it breaks. Short answer
  • Mathematics
  • Collaborative Work

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    4H1

    3M7
     
     

     

    CONTENT: Formulas and Equations 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: Diagram, Problem Solving: Students will work in groups to find perimeter, area, length, and width. Page 130, #13 Open-ended, short answer.
  • Mathematics

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    4H2

    4M6

     

    CONTENT: Simple Constructions: Use simple tools (such as a clinometer) to solve indirect measurement problems. use proportions to model and solve indirect measurement problems.
    PERFORMANCE: Building a Hyposometer: Students will construct a hyposometer. Page 209 Open-ended
    Mathematics
     
     

     

    4H3

    4M1
     

     

    CONTENT: Using Proportional Reasoning: Apply the ratio of similarity including the geometric means and the relationships of special triangles.S olve problems involving proportional relationships and units of measurement. e.g. scale models, maps and speed.
    PERFORMANCE: Diagrams, Problem Solving: Playing billiards. Page 205, #32  Open-ended
    Mathematics
     
     
     

     

    4H4
    prior knowledge:
    Estimate
    Results
    of 
    Computations
    CONTENT: Solving Word Problems: 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 and Explanation: Students find how many dozen of cookies were sold. page 236, #5  Short answer
    Mathematics
     
     

     

    4H5

    4M9
     

     

    CONTENT: Math Modeling 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: Diagram, Problem Solving, Explanation and Model  Surface area, math modeling problem, page 128 Short answer and open-ended.
  • Mathematics

  • Collaborative Work
     
     

     

    5H1

    5M1

     

    CONTENT: Ordered Pair: : 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 Graphing, Diagram: Students will work together on page 343, #9. Open ended.
  • Mathematics

  • Collaborative Work
     
     

     

    5H2

    2M7

     

    CONTENT Line of Best Fit: Find the "line of best fit" from a series of data. Use tables and graphs to compare linear, quadratic, and exponential growth patterns. 
    PERFORMANCE: Graph, Problem Solving, Explanation: Students will work together to solve problem #10 on page 343 Open-ended, short answer
    Mathematics
     
     
     
     
     

     

    5H3

    5M5

    5M10
     
     

     

    CONTENT: Statistical Analysis: 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: Problem Solving: Students will solve problem #25 on page 311  Short answer
  • Mathematics

  • Collaborative Work
     
     
     
     

     

    5H4

    5M8

    5M4
     

     

    CONTENT: Design a Fair Game : Describe the effects of sample size and population size on the validity of predictions from a set of data. Design a "fair game" and provide a 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: Diagram, Problem Solving Students will work together on page 415, #6 Open-ended
    Mathematics
     
     
     
     

     

    5H5

    5M8

     

    CONTENT:  Probability of Earned Team Points 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: Interpret Graphs, Problem Solving: Sports problem, finding the chances of an event. p.232, #41
    Short answer, open ended
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    Jane Constant, Reference Librarian
    Keeley Library, B.M.C.Durfee High School of Fall River
    September, 1978  to  June, 2001