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Read and Scale a Data Graph

Pictographs, bar graphs, and line graphs encode values through a scale — symbol value or grid-square value — that must be read before any total, difference, or comparison is computed. Learners translate between tables and graphs, choose scales, read double bars and two line graphs, and estimate intermediate values. Decoding the scale is the load-bearing step at every grade.

grade 2–4 Measurement & dataOperations Analyze the UnitsOrganize Information in More Ways

Builds on: Multiplication as Equal Groups

Progression (21)

g3 1. Read totals and differences from a graph Measurement & data · foundational
g3 2. Find the value of one grid interval Measurement & data · foundational
g3 3. Set the scale, then complete the graph Measurement & data · foundational
g3 4. Complete a table from its graph and back Measurement & data · foundational
g2 5. Total equals the sum of the rows Measurement & dataOperations · foundational
g3 6. Compare two data sets in one graph Measurement & data · foundational
g3 7. Translate between table and pictograph Measurement & data · foundational
g3 8. Determine the value each picture symbol stands for Measurement & data · core
g3 9. Convert a pictograph into a frequency table Measurement & data · core
g3 10. Total all categories from a pictograph Measurement & data · core
g3 11. Read and compare multiple bars Measurement & data · core
g4 12. Combine two graphs to find totals Measurement & dataOperations · core
g3 13. Choose a scale that fits the largest value Measurement & data · core
g3 14. Convert a table into a bar graph Measurement & data · core
g3 15. Read a double bar graph Measurement & data · advanced
g3 16. Find the value of one grid square Measurement & data · advanced
g5 17. Compare line graphs that use different gridline scales Measurement & data · advanced
g5 18. Largest vertical gap between two line graphs Measurement & data · advanced
g5 19. Estimate an unmeasured midpoint value on a line graph Measurement & data · advanced
g5 20. Read max, min, and gridline scale from a line graph Measurement & data · advanced
g5 21. Sum all data values read from a line graph Measurement & data · advanced

Bridges to competition (4)

Reasoning problems that extend this idea toward competition:

Judge claims from a line graph Logic → Coordinate Plane Figure Computation
Read pictographs for category totals Other → Arithmetic Expression Decomposition
Complete and interpret a data table Other → Arithmetic Expression Decomposition
Complete and interpret a graph Other → Arithmetic Expression Decomposition

Leads to competition types: Arithmetic Expression DecompositionCoordinate Plane Figure Computation