Surface Area Using Nets

My Notes Level 1 Support Level 2 Standard Level 3 Enrichment

Today's objectives

Content Objective: I can find the surface area of a solid by using its net.

Language Objective: I can explain my work using the words surface area, net, face, and two-dimensional.

📖 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 total area of all the faces of a solid is its .
2A flat pattern that folds up into a solid is a .
3A flat surface of a solid figure is a .
4A flat shape with length and width but no thickness is .
5A line segment where two faces meet is an .

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

For the box l = 8, w = 5, h = 3, you found three face pairs. How did you use the net to organize the faces into pairs, and which pair had the largest area?

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.

Surface area — The total area of all the flat sides of a solid.Área de superficie — El área total de todos los lados planos de un sólido. Net — A flat shape that folds up into a solid.Plantilla (desarrollo plano) — Una figura plana que se dobla y forma un sólido. Face — One flat side of a solid shape.Cara — Un lado plano de una figura sólida. Two-dimensional — A flat shape with length and width, but no thickness.Bidimensional — Una figura plana con largo y ancho, pero sin grosor. Edge — The line where two flat sides of a solid meet.Arista — La línea donde se unen dos lados planos de un sólido.

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 faces come in ___ pairs because opposite faces are ___.Las caras vienen en ___ pares porque las caras opuestas son ___.

3. Build Your Explanation

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

Claim: A net lays every face flat so you can see and measure all six faces.

Evidence: Students explain a rectangular prism has 6 faces, and the net unfolds the solid into a flat (two-dimensional) pattern so every face is visible to measure.

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

Start

Most language support

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

The faces come in ___ pairs because opposite faces are ___.Las caras vienen en ___ pares porque las caras opuestas son ___.
The largest pair is ___ × ___ = ___, counted twice for ___ in².El par más grande es ___ × ___ = ___, contado dos veces para ___ in².

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.