• MA.5.DP.1 Data Analysis and probability

    Collect, represent and interpret data and find the mean, mode, median or range of a data set. 



    Collect and represent numerical data, including fractional and decimal values, using tables, line graphs or line plots. Example: Gloria is keeping track of her money every week. She starts with $10.00, after one week she has $7.50, after two weeks she has $12.00 and after three weeks she has $6.25. Represent the amount of money she has using a line graph.

    Benchmark Clarifications:
    Clarification 1: Within this benchmark, the expectation is for an estimation of fractional and decimal heights on line graphs.
    Clarification 2: Decimal values are limited to hundredths. Denominators are limited to 1, 2, 3 and 4. Fractions can be greater than one.

    Purpose and Instructional Strategies
    The purpose of this benchmark is to collect and display authentic numerical data in tables, line graphs or line plots, including fractional and decimal values. Students have represented whole number and fractional values using tables, stem-and-leaf plots and line plots in Grade 4 (MA.4.DP.1.1). In Grade 6, this work will extend to box plots and histograms (MA.6.DP.1.5).

     Instruction with line graphs should develop the understanding that values in this graph often represent data that changes over time.

     Instruction should include identifying the meaning of the points presented on the 𝑥 −axis and 𝑦 − axis with both axes being labeled correctly.

    Common Misconceptions or Errors

     For line plots, students may misread a number line and have difficulty because they use whole-number names when counting fractional parts on a number line instead of the fraction name. 

    Instructional Tasks
    Instructional Task 1
    Claire studied the amount of water in different glasses. The data she collected is below. Use her data to create a line plot to show the amount of water in the glasses.
    a. 1/2

    b. 1/4


    d. 1/4


    f. 5/8

    g. 3/8

    h. 5/8

    i. 1/8

    j. 1/8

    Instructional Items
    Instructional Item 1
    A line graph is shown.


    Part A. What is the approximate change in the kitten’s mass, in grams, between Days 3 and 4?
    Part B. What is the approximate change in the kitten’s mass, in grams, between Days 2 and 5?

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