Group numerical data into intervals and show each interval's frequency with a bar.
Example: Bars for 0–9, 10–19, 20–29, each the same width
Represent and Describe Data in a Histogram
I can make and read a histogram to display data in intervals.
Speaking and writing goal: I can explain my histogram using the words histogram, frequency, interval, and distribution.
What Your Child Is Learning
In this lesson, students practice how to make and read a histogram to display data in intervals. They learn to show their thinking with numbers, pictures, words, or a model. The goal is not just getting an answer. Students should be able to explain why the answer makes sense.
Why This Matters
Data helps people make decisions. Students use these skills to read sports stats, compare survey results, notice patterns, and decide what a graph is really saying.
What It May Look Like In Class
Your child may use the interactive lesson, guided notes, examples from the board, partner talk, and short practice problems. They may be asked to solve, draw a model, label important numbers, and explain their reasoning in a sentence.
How You Can Help At Home
You do not need to teach a new method. Ask your child to read the problem out loud, circle the important numbers, and explain what they tried first. Helpful questions include: What do you know? What are you trying to find? Does your answer make sense?
Apoyo para familias en español
Qué está aprendiendo su hijo/a
En esta lección, su hijo/a practica leer datos, hacer gráficas y explicar patrones. Puede usar dibujos, números, palabras o modelos para mostrar su pensamiento. Lo más importante es que pueda explicar por qué su respuesta tiene sentido.
Por qué es importante
Los datos ayudan a tomar decisiones. Su hijo/a aprende a leer gráficas, comparar resultados y explicar patrones.
Cómo puede ayudar en casa
No necesita ser experto/a en matemáticas. Pídale a su hijo/a que lea el problema en voz alta, marque los números importantes y explique su primer paso. Puede preguntar: ¿Qué sabes? ¿Qué necesitas encontrar? ¿Tu respuesta tiene sentido?
Key Vocabulary
A bar graph that groups data into equal ranges. The bars touch.
Example: A graph with bars for the ranges 0–9, 10–19, 20–29
How many times a value shows up.
Example: 10 students scoring in the 80–89 interval
A range of numbers used to group data.
Example: 0–9, then 10–19
How the data is spread out.
Example: A peak at 10–11 seconds with a tail out to 14.8
How spread out the numbers are.
Example: Scores running from 68 to 94
Try It Together
Pick one or two problems. Let your child explain the first step before opening the answer.
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A histogram interval 10-19 has frequency 6. What does that mean?
Show answer
Six data values are from 10 through 19.
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Make intervals of width 5 from 0 to 20.
Show answer
0-4, 5-9, 10-14, 15-19, 20-24 or similar consistent groups
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Which interval has the most data: 0-9 has 3, 10-19 has 8, 20-29 has 5?
Show answer
10-19
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Why do histograms use intervals?
Show answer
They group many numbers so patterns are easier to see.