Coordinate Plane and Graduation Rates by District Vocabulary Review Sheet

How to Use

  • Review each vocabulary word and its examples before your quiz.
  • Connect math definitions to real-world equity data about schools and communities.
  • Keep this sheet in your Equity in Numbers Student Journal.
  • Remember: Graphs and numbers tell stories about fairness and opportunity.

Coordinate Plane

  • Definition: A grid formed by two perpendicular lines — the x-axis (horizontal) and y-axis (vertical) — used to locate and compare points.
  • Math Example: Plotting (3, 84) shows District C with an 84 % graduation rate.
  • Real-Life Example: Students graph graduation rates for different districts to compare outcomes.
  • Fairness Example: The coordinate plane helps us see where gaps exist, so resources can be directed where they’re needed most.

Axis (Axes)

  • Definition: The reference lines that form the coordinate plane.
  • Math Example:
    • x-axis → Districts (A = 1, B = 2, C = 3 …).
    • y-axis → Graduation Rate (%).
  • Real-Life Example: The x-axis shows which district you’re studying; the y-axis shows how high or low its graduation rate is.
  • Fairness Example: Clear axes organize data so all groups’ outcomes are visible and comparable.

Ordered Pair ( x, y )

  • Definition: A pair of numbers that locate a point on the coordinate plane — x = horizontal position, y = vertical value.
  • Math Example: (4, 92) means District D (x = 4) has a 92 % graduation rate (y = 92).
  • Real-Life Example: Each ordered pair can represent a student group’s result in a district.
  • Fairness Example: Every data point represents real students — each deserves recognition and opportunity.

Plotting Points

  • Definition: Marking locations on a graph using ordered pairs.
  • Math Example: Plot (1, 84), (2, 86), (3, 89), (4, 80), (5, 88).
  • Real-Life Example: Graphing graduation rates by district for Latino students.
  • Fairness Example: Plotting all groups ensures no community’s results are hidden or ignored.

Line Graph

  • Definition: A graph that connects data points with straight lines to show trends or comparisons over categories.
  • Math Example: One line for Latino students and another for White students across five districts.
  • Real-Life Example: Comparing how graduation rates rise or fall across different schools.
  • Fairness Example: When lines are close together, opportunity is more equal — wider gaps show where fairness is lacking.

Legend (Key)

  • Definition: Explains what each color, symbol, or line on a graph represents.
  • Math Example:
    🔵 = White students 🔴 = Latino students 🟢 = Black students
  • Real-Life Example: Color-coded lines help viewers identify which group each trend belongs to.
  • Fairness Example: A clear legend ensures every group’s data is labeled and valued equally.

Scale

  • Definition: The evenly spaced numbers on the axes showing measurement units.
  • Math Example: y-axis = 60 %, 70 %, 80 %, 90 %, 100 %.
  • Real-Life Example: A fair scale makes it easy to see progress or inequities between schools.
  • Fairness Example: Accurate scales prevent exaggeration or hiding of disparities.

Equity Gap

  • Definition: The numerical difference between the highest and lowest group values in a dataset.
  • Math Example: District D → Highest = 92 %, Lowest = 70 % → Gap = 22 points.
  • Real-Life Example: The equity gap shows how much improvement is needed to reach fairness.
  • Fairness Example: Smaller gaps mean more equal opportunities; larger gaps signal areas for change.

Trend

  • Definition: The overall direction that data points move — upward, downward, or flat.
  • Math Example: Lines slanting upward show increasing graduation rates.
  • Real-Life Example: A steady upward trend can mean successful policies or programs.
  • Fairness Example: Positive trends in all groups mean equitable progress.

Data Analysis

  • Definition: Examining numbers to find patterns, differences, or relationships.
  • Math Example: Calculating average graduation rates for each group.
  • Real-Life Example: Comparing which districts narrowed their equity gaps over time.
  • Fairness Example: Using data analysis helps leaders make informed, fair decisions for all students.

Representation (in Data)

  • Definition: Making sure information includes all groups and presents them accurately.
  • Math Example: Including Latino, Black, White, Asian, and Native student data in one graph.
  • Real-Life Example: Reports that show every community’s graduation rate side-by-side.
  • Fairness Example: Representation in data ensures visibility and accountability for every group.

Summary of Math + Fairness Connections

ConceptMath FocusFairness Connection
Coordinate PlaneOrganize data by (x, y) pointsVisualizes equity across districts
Line GraphConnects trends between groupsShows progress or disparities clearly
Equity GapHighest – Lowest valueReveals where fairness needs action
Trend AnalysisTracks direction of changeMeasures improvement toward equality
RepresentationInclusive data displayEnsures every group’s story is seen