Area of Regular Polygons

My Notes Level 1 Support Level 2 Standard Level 3 Enrichment

Today's objectives

Content Objective: I can find the area of a regular polygon by decomposing it into triangles.

Language Objective: I can explain my steps using the words regular polygon, decompose, triangle, and composite.

📖 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 polygon with all sides and all angles equal is a .
2To break a shape into smaller shapes is to it.
3A three-sided polygon is a .
4Made of two or more shapes combined, a figure is .
5A math rule written with symbols is a .

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

You matched each regular polygon to its number of center triangles. What pattern connects the number of SIDES to the number of TRIANGLES, and why?

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.

Regular Polygon — A shape where all sides and all angles are equal.Polígono regular — Una figura donde todos los lados y ángulos son iguales. Decompose — To break a shape into smaller, simpler shapes.Descomponer — Separar una figura en figuras más pequeñas y simples. Triangle — A shape with three sides.Triángulo — Una figura de tres lados. Composite — Made by putting two or more simple shapes together.Compuesto — Formada al juntar dos o más figuras simples. Formula — A math rule written with symbols.Fórmula — Una regla matemática escrita con símbolos.

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 split each polygon into ___ triangles.Dividí cada polígono en ___ triángulos.

3. Build Your Explanation

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

Claim: We decompose the hexagon into triangles because we already know how to find a triangle's area.

Evidence: Students explain that splitting the hexagon into 6 equal triangles lets them use the triangle area formula they already know, then combine the parts.

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

Start

Most language support

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

I split each polygon into ___ triangles.Dividí cada polígono en ___ triángulos.
The number of triangles equals the number of ___ because ___.El número de triángulos es igual al número de ___ porque ___.

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.