Create and Interpret Scaled Graphs
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3rd Grade Math › Create and Interpret Scaled Graphs
Students chose favorite colors; each ★ = 5 students. How many students voted altogether?
9 students
40 students
45 students
35 students
Explanation
This question tests 3rd grade data interpretation: reading and interpreting scaled picture graphs and scaled bar graphs, and solving 'how many more' and 'how many less' problems (CCSS.3.MD.3). A scaled graph uses symbols or bars where each represents more than one item. The scale tells us what value each symbol or square represents (like 'each ★ = 5 students'). To find how many, count the symbols or squares and multiply by the scale. For totals, sum the values across categories. The graph shows favorite colors with a scale where each ★ equals 5 students; there are a total of 9 stars across all colors. Choice C is correct because there are 9 stars total, multiplied by the scale of 5 to get 45 students. This shows understanding of summing scaled values. Choice D represents counting the stars without multiplying by the scale, which typically happens because students forget to apply the scale. To help students: Use manipulatives to show how 1 symbol can represent multiple items (1 block = 5 students). For two-step problems, break into steps (first find each value, then sum). Watch for students who add symbols instead of values.
Each grade sold items for the fundraiser; each ■ = 10 items. Which grade sold the most items?
Grade 2
Grade 1
Grade 3
All grades sold the same
Explanation
This question tests 3rd grade data interpretation: reading and interpreting scaled picture graphs and scaled bar graphs, and solving 'how many more' and 'how many less' problems (CCSS.3.MD.3). A scaled graph uses symbols or bars where each represents more than one item. The scale tells us what value each symbol or square represents (like 'each ■ = 10 items'). To find how many, count the symbols or squares and multiply by the scale. To identify the most or least, compare the calculated values. The graph shows items sold by grades with a scale where each ■ equals 10 items; Grade 1 has 3 symbols (30), Grade 2 has 4 (40), Grade 3 has 5 (50). Choice C is correct because Grade 3 has 5 symbols, multiplied by 10 to get 50 items, which is more than the others. This shows understanding of comparing scaled values. Choice D represents misreading the graph by not comparing properly, which typically happens because students confuse categories or forget to multiply. To help students: Use manipulatives to show how 1 symbol can represent multiple items (1 block = 10 items). Teach comparison strategy: find each value, then identify max or min. Watch for students who read from the wrong row or column.