Learn on PengiPengi Math (Grade 4)Chapter 9: Measurement, Data & Real-World Math

Lesson 1: Data Representation: Line Plots & Fractions

In this Grade 4 Pengi Math lesson, students learn to construct dot plots and line plots to display measurement data in fractions (1/2, 1/4, and 1/8) and identify key statistical features including minimum, maximum, mode, and range. Students also practice calculating total values from line plots using frequency multiplication and apply their skills to solve addition and subtraction word problems using data from line plots.

Section 1

Creating a Line Plot with Fractional Data

Property

To create a line plot from a data set, first draw a horizontal number line that spans the range of the data (from minimum to maximum value).
Determine an appropriate fractional scale (e.g., halves, fourths, eighths) by finding a common denominator for the data points.
Title the plot, label the number line, and then plot each data point by placing an 'X' above its corresponding value on the number line.

Examples

Section 2

Identifying Key Features of a Line Plot

Property

  • Minimum (Min): The smallest numerical value on the number line for which at least one data point (dot or X) is plotted.
  • Maximum (Max): The largest numerical value on the number line for which at least one data point (dot or X) is plotted.
  • Value with the Greatest Frequency: The value on the number line that has the highest number of data points (dots or Xs) above it.
  • Value with the Least Frequency: The value on the number line that has the fewest data points (dots or Xs) above it, excluding values with zero frequency.
  • Total Number of Data Points: The sum of all data points plotted on the line plot, representing the overall size of the data set.

Examples

Section 3

Solving Word Problems Using a Line Plot

Property

To solve a word problem using a line plot, translate keywords from the problem into mathematical operations performed on the data values.

  • "Total", "combined", or "in all" implies addition: Total=value1+value2+...Total = value_1 + value_2 + ...
  • "Difference", "how much more", or "range" implies subtraction: Difference=greater valuelesser valueDifference = \text{greater value} - \text{lesser value}

Examples

Book overview

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Chapter 9: Measurement, Data & Real-World Math

  1. Lesson 1Current

    Lesson 1: Data Representation: Line Plots & Fractions

  2. Lesson 2

    Lesson 2: The Metric System: Conversions & Operations

  3. Lesson 3

    Lesson 3: The Customary System: Conversions & Operations

  4. Lesson 4

    Lesson 4: Time: Conversions & Operations

  5. Lesson 5

    Lesson 5: Geometric Measurement: Area & Perimeter

Lesson overview

Expand to review the lesson summary and core properties.

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Section 1

Creating a Line Plot with Fractional Data

Property

To create a line plot from a data set, first draw a horizontal number line that spans the range of the data (from minimum to maximum value).
Determine an appropriate fractional scale (e.g., halves, fourths, eighths) by finding a common denominator for the data points.
Title the plot, label the number line, and then plot each data point by placing an 'X' above its corresponding value on the number line.

Examples

Section 2

Identifying Key Features of a Line Plot

Property

  • Minimum (Min): The smallest numerical value on the number line for which at least one data point (dot or X) is plotted.
  • Maximum (Max): The largest numerical value on the number line for which at least one data point (dot or X) is plotted.
  • Value with the Greatest Frequency: The value on the number line that has the highest number of data points (dots or Xs) above it.
  • Value with the Least Frequency: The value on the number line that has the fewest data points (dots or Xs) above it, excluding values with zero frequency.
  • Total Number of Data Points: The sum of all data points plotted on the line plot, representing the overall size of the data set.

Examples

Section 3

Solving Word Problems Using a Line Plot

Property

To solve a word problem using a line plot, translate keywords from the problem into mathematical operations performed on the data values.

  • "Total", "combined", or "in all" implies addition: Total=value1+value2+...Total = value_1 + value_2 + ...
  • "Difference", "how much more", or "range" implies subtraction: Difference=greater valuelesser valueDifference = \text{greater value} - \text{lesser value}

Examples

Book overview

Jump across lessons in the current chapter without opening the full course modal.

Continue this chapter

Chapter 9: Measurement, Data & Real-World Math

  1. Lesson 1Current

    Lesson 1: Data Representation: Line Plots & Fractions

  2. Lesson 2

    Lesson 2: The Metric System: Conversions & Operations

  3. Lesson 3

    Lesson 3: The Customary System: Conversions & Operations

  4. Lesson 4

    Lesson 4: Time: Conversions & Operations

  5. Lesson 5

    Lesson 5: Geometric Measurement: Area & Perimeter