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Picture Graphs with Scales

Elementary Depth 58 in the knowledge graph ☐ I know this ☆ Set as goal
3topics build on this
260prerequisites beneath it
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Reading and Creating Picture Graphs→→Reading and Interpreting Scaled Graphs
data picture-graphs scale

Core Idea

Picture graphs use symbols (pictures) to represent data. A scale explains what each symbol represents—for example, one apple picture = 2 real apples. Scales are necessary when data quantities are large, making one-symbol-per-item impractical.

Explainer

You already know how to read and create picture graphs where each symbol stands for exactly one item — a 1-to-1 picture graph. That works great when the numbers are small. But what if a school survey asked 120 students about their favorite subject, and you had to draw 120 symbols? The graph would be enormous. Scaled picture graphs solve this by letting each symbol represent more than one item, so the graph stays a manageable size.

The scale is the rule that tells you how many real items each symbol counts for. The scale is always shown in a key (also called a legend) somewhere on the graph, usually written like: "Each 🍎 = 5 apples." Once you know the scale, you can read the graph by multiplying: if the "Apples" row has 6 symbols and each symbol = 5, then 6 × 5 = 30 apples total. If a row has 4 symbols, that row represents 4 × 5 = 20 items. Reading a scaled picture graph is really a multiplication problem in disguise.

Sometimes a row will have a partial symbol — like half a picture. If the scale is "each symbol = 4," then half a symbol means 2. Partial symbols are just a visual way of representing amounts that fall between multiples of the scale. When you see a half symbol, divide the scale value in half to find what it represents.

Choosing the right scale when you create a graph is a decision that requires judgment. If your largest value is 30 and you use a scale of 1, you draw 30 symbols — too many. If you use a scale of 10, you draw 3 symbols — clean and readable. A good scale divides evenly into most of the data values, so you avoid awkward fractions. Thinking about scale is your first taste of the kind of design decisions that make data displays clear and useful.

Practice Questions 5 questions

Prerequisite Chain

Understanding Zero → The Number Zero → Counting to Five → Counting to 10 → Counting to 20 → Counting a Set of Objects Up to 20 → Cardinality: The Last Number Counted → Matching Numerals to Quantities → Subitizing Small Quantities → Addition Within 10 → Making 10 as an Addition Strategy → Addition Within 20 → Doubles and Near Doubles → Doubles Facts Within 10 → Near Doubles Facts Within 20 → Mental Math Strategies for Addition → Mental Math: Adding and Subtracting Tens → Addition Within 100 → Repeated Addition as Multiplication → Multiplication as Equal Groups → Multiplication: Arrays → Basic Multiplication Facts Through 10 → Multiplication Facts Within 100 → Division as Equal Sharing → Division as Grouping (Measurement Division) → Division: Grouping (Repeated Subtraction) Model → Division: Fair Sharing Model → Division as Equal Sharing → Division as Grouping → Basic Division Facts → Division Facts Within 100 → Multiplication and Division Fact Families → Relationship Between Multiplication and Division → Division Facts as Inverse of Multiplication → Remainders and Quotients in Division → Division Word Problems → Multi-Step Word Problems → Solving Multi-Step Word Problems → Multiplication Word Problems → Division Word Problems → Introduction to Long Division → Factors and Multiples → Prime and Composite Numbers → Equivalent Fractions → Relating Fractions and Decimals → Decimal Place Value → Integers and the Number Line → Comparing and Ordering Integers → Length Comparison → Measuring Length with Non-Standard Units → Measuring Length With a Ruler → Measuring with Feet and Meters → Estimating Lengths → Line Plots with Measurement Data → Organizing and Representing Data → Collecting and Displaying Categorical Data → Collecting and Organizing Data → Reading and Creating Picture Graphs → Picture Graphs with Scales

Longest path: 59 steps · 260 total prerequisite topics

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