Appropriate Measures — Notes Packet

My Notes Level 1 Support Level 2 Standard Level 3 Enrichment

Today's objectives

Content Objective: I can choose the best measure of center for a data set based on its shape.

Language Objective: I can explain my choice using the words mean, median, outlier, and skewed.

📖 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.

1The average of a data set is the .
2The middle value when data is in order, often best when there is an outlier, is the .
3A value far from the rest of the data, which can pull the mean, is an .
4Data that is bunched on one side with a tail on the other is .
5The way data values are spread out is the .
6How much the data values differ 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 sort scenarios into 'Use Mean' or 'Use Median,' what clue tells you a data set needs the median instead of the mean?

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.

Mean — The average. Add all the numbers, then divide by how many there are.Media — El promedio. Suma todos los números y divide entre cuántos hay. Median — The middle number when you put them in order.Mediana — El número del medio cuando los pones en orden. Outlier — A number that is much bigger or smaller than the rest.Valor atípico — Un número mucho mayor o menor que los demás. Skewed — When most data sits on one side with a tail on the other.Sesgado — Cuando la mayoría de los datos está de un lado con una cola del otro. 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.

I use the median when the data has ___.Uso la mediana cuando los datos tienen ___.

3. Build Your Explanation

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

Claim: An outlier can pull the mean away from what is typical, making the median a better choice.

Evidence: Students choose the median (23) and identify 58 as an outlier that pulls the mean up to 27.6, making it unrepresentative.

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

Start

Most language support

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

I use the median when the data has ___.Uso la mediana cuando los datos tienen ___.
I use the mean when the data is ___.Uso la media cuando los datos son ___.

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.