Family Math Studio Grade 6 Math · Neft Teacher

Family Math Studio · Lesson guide Guía de la lección

Unit 9, Lesson 3: Write Equations to Represent Relationships Between Two Variables

Standard 6.AT.11

What students are learning Qué aprenden

Key idea: An equation can show a whole pattern at once. First decide what each letter stands for, then find the amount for one. If each ticket costs $5, the total cost c for t tickets is c = 5t.Idea clave: Una ecuación puede mostrar todo un patrón de una vez. Primero decide qué representa cada letra y luego encuentra la cantidad para uno. Si cada boleto cuesta $5, el costo total c de t boletos es c = 5t.

Words to know Palabras clave

equation ecuación
A math sentence with an equal sign.
Una oración matemática con un signo de igual.
variable variable
A letter that stands for a number.
Una letra que representa un número.
rate tasa
Two amounts compared, like miles for each hour.
Dos cantidades comparadas, como millas por cada hora.
represent representar
Show it with a table, a graph, or an equation.
Mostrarlo con una tabla, una gráfica o una ecuación.
define the variables definir las variables
Say what each letter stands for.
Decir qué representa cada letra.
Constant Constante
A number that stays the same.
Un número que se queda igual.

Sentence starters Frases para empezar

I know ___ because ___.

First, I ___. Then, I ___.

The answer is ___, so ___.

How we did it in class today Cómo lo hicimos hoy en clase

  1. The quantities are the number of months of membership and the total cost. The total cost depends on the number of months.
  2. In the table, each month adds $24.95: 1 month is $24.95, 2 months are $49.90, 3 months are $74.85.
  3. The pattern in words: the total cost is $24.95 times the number of months.
  4. Define the variables — let m = number of months and c = total cost in dollars — and write the equation: c = 24.95m.
  5. Now ANY number of months works: for 10 months, c = 24.95 × 10 = 249.50.

Play with today's math Jueguen con las matemáticas

Interactive Lesson Model — This is the exact same interactive tool your student used in class today. Change the numbers and watch what happens!

Modelo interactivo de la lección — Esta es la misma herramienta interactiva que su estudiante usó en clase hoy. ¡Cambie los números y observe qué sucede!

Works on a phone, a tablet, or a computer. Nothing to install, nothing to sign in to.

Try this together Inténtenlo juntos

Pick one question to talk about. You don't need to do them all!

A music streaming plan costs $8.99 per month. Let m = number of months and c = total cost. Which equation represents the relationship?

  1. c = 8.99 + m
  2. m = 8.99c
  3. c = 8.99m
  4. c = m ÷ 8.99
Check the answer

The answer is: c = 8.99m

Take-home sheet Hoja para llevar a casa

Lesson 9.3: Print the sheet (PDF) · Answers and talk notes (PDF) · Edit it (Word)

Lección 9.3: Imprimir la hoja (PDF) · Respuestas y notas para conversar (PDF) · Editarla (Word)

If they get stuck... Si se traban...

Watch out for this: Writing the equation with addition — c = 24.95 + m — instead of multiplication. The fee is charged EVERY month, so the total is the rate times the number of months; always test the equation against a row of the table.

Try asking: "Can you show me how you got that? Did we miss a step?"
Pregunte: «¿Puedes mostrarme cómo lo hiciste? ¿Nos saltamos algún paso?» Hablar de las matemáticas en voz alta ayuda mucho.

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