Surface Area of Prisms — Notes Packet

My Notes Level 1 Support Level 2 Standard Level 3 Enrichment

Today's objectives

Content Objective: I can find the surface area of rectangular and triangular prisms.

Language Objective: I can explain my work using the words surface area, rectangular prism, triangular prism, and face.

📖 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 solid with six rectangular faces is a .
3A solid with two triangular faces and three rectangular faces is a .
4A flat surface of a solid figure is a .
5A flat pattern that folds into a solid is a .
6A side face of a prism that is not a base 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

For the triangular prism (base 6, height 4, length 10, slant sides 5), how did you account for the triangular bases AND the rectangular lateral faces?

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. Triangular prism — A solid with two triangle ends and three flat rectangle sides.Prisma triangular — Un sólido con dos extremos triangulares y tres lados rectangulares. Face — One flat side of a solid shape.Cara — Un lado plano de una figura sólida. Net — A flat shape that folds up into a solid.Plantilla (desarrollo plano) — Una figura plana que se dobla y forma un sólido. Lateral face — The side faces of a solid, not the top or bottom.Cara lateral — Los lados de un sólido, no la parte de arriba ni la de abajo.

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 two triangular bases together are 2 × (½ × 6 × 4) = ___.Las dos bases triangulares juntas son 2 × (½ × 6 × 4) = ___.

3. Build Your Explanation

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

Claim: For both, you add the areas of all the faces, but the shapes and number of faces differ.

Evidence: Students explain both methods add up all face areas, but a rectangular prism has 6 rectangular faces while a triangular prism has 5 faces (2 triangles + 3 rectangles).

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 two triangular bases together are 2 × (½ × 6 × 4) = ___.Las dos bases triangulares juntas son 2 × (½ × 6 × 4) = ___.
The three lateral faces add to ___, so the total surface area is ___.Las tres caras laterales suman ___, así que el área total de superficie es ___.

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.