Display Data: Box Plots

My Notes Level 1 Support Level 2 Standard Level 3 Enrichment

Today's objectives

Content Objective: I can make and read a box plot to summarize a data set.

Language Objective: I can explain my box plot using the words box plot, median, quartile, and interquartile range.

📖 See Learn It for the explanation and worked examples, and the Vocab tab for the words. These are your notes to fill in and keep.

✏️ Fill in each blank as we go. Use the Word Bank to help you.

📚 Word Bank — fill each blank with the best word

👆 Tap any word to see what it means and a picture.

Level 3: try the blanks from memory first, then check the bank.

1A graph that shows data with a box and whiskers based on the five-number summary is a .
2The middle value of the data, shown as a line inside the box, is the .
3A value that divides the data into four equal parts is a .
4The distance between the first and third quartiles, showing the middle 50% of data, is the .
5The way data values are spread out is the .
6How spread out the data values are is the .

Write About the Math Guided ESOL writing

Use the support level you need. Every level answers the same math question.

1. Understand the Question

explain

As you draw the box from Q1 to Q3, what does the length of the box tell you about the players' scores?

Your job: Answer the question. Use math evidence. Explain how the evidence proves your answer.Responde la pregunta. Usa evidencia matemática. Explica cómo la evidencia demuestra tu respuesta.

2. Plan Your Math Words

Check at least two words you will use.

Box Plot — A graph that shows how data is spread using five key numbers.Diagrama de caja — Una gráfica que muestra cómo se reparten los datos con cinco números clave. Median — The middle number that splits the data in half.Mediana — El número del medio que divide los datos en dos mitades. Quartile — Numbers that split the data into four equal parts.Cuartil — Números que dividen los datos en cuatro partes iguales. Interquartile Range — The spread of the middle half of the data (Q3 − Q1).Rango intercuartílico — La extensión de la mitad central de los datos (Q3 − Q1). Data distribution — How the data looks: where it sits and how spread out it is.Distribución de datos — Cómo se ven los datos: dónde están y qué tan separados están.

Say it first: Say your idea to a partner or quietly to yourself before you write.Di tu idea a un compañero o en voz baja antes de escribir.

The box covers the middle ___ of the scores.La caja cubre el ___ medio de los puntajes.

3. Build Your Explanation

Model the parts: This model shows the parts of an explanation. It does not answer your writing question.

Claim: A box plot is built from the minimum, Q1, median, Q3, and maximum.

Evidence: Students name the five-number summary (min, Q1, median, Q3, max) and find the median (14) for the 11 ordered scores.

Reasoning: This evidence connects the definition of box plot to the mathematical claim.

Start

Most language support

Complete the frames. Use the word bank.Completa las oraciones. Usa el banco de palabras.

The box covers the middle ___ of the scores.La caja cubre el ___ medio de los puntajes.
A longer box means the middle scores are ___.Una caja más larga significa que los puntajes del medio están ___.

Build

Some language support

Write two connected sentences. Use because, so, or but.Escribe dos oraciones conectadas. Usa porque, entonces o pero.

My claim is ___.Mi afirmación es ___.
I know because ___.Lo sé porque ___.
So ___.Entonces ___.

Explain

Light language support

Write a claim, give math evidence, and explain your reasoning.Escribe una afirmación, da evidencia matemática y explica tu razonamiento.

My claim is ___.Mi afirmación es ___.
My math evidence is ___.Mi evidencia matemática es ___.
This proves ___ because ___.Esto demuestra ___ porque ___.

4. Check Your Explanation

I answered the question.Respondí la pregunta. I used math evidence: numbers, an equation, a model, or a comparison.Usé evidencia matemática: números, una ecuación, un modelo o una comparación. I explained how the evidence proves my answer.Expliqué cómo la evidencia demuestra mi respuesta. I used at least two math words.Usé por lo menos dos palabras matemáticas. I reread complete sentences and punctuation.Volví a leer mis oraciones completas y la puntuación.