Write Equations

6.AT.8 · Unit 7 · Lesson 1

Name   Period

Objectives / Objetivos

Content Objective: I can write an equation to represent a real-world situation.

Language Objective: I can explain my equation using the words equation, variable, equal sign, and expression.

Key Idea / Idea clave

Find the unknown, choose a variable, then turn the words into symbols around an equal sign.

I Notice / Observo

  • What quantity is unknown in this situation?
  • What does 'plus 8 more' tell you about the operation?

I Wonder / Me pregunto

  • What if the clue said 'twice a number equals 20' instead?

Vocabulary / Vocabulario

Term / TérminoDefinition / Definición
Equation
Ecuación		A math sentence with an equal sign showing both sides are the same.
Una oración matemática con un signo igual que muestra que ambos lados son iguales.
Variable
Variable		A letter that stands for a number that is unknown or can change.
Una letra que representa un número desconocido o que puede cambiar.
Equal sign
Signo igual		The = sign, showing both sides are the same.
El signo =, que muestra que ambos lados son iguales.
Expression
Expresión		A math phrase with numbers and letters, but no equal sign.
Una frase matemática con números y letras, pero sin signo igual.
Constant
Constante		A fixed number in an expression or equation that does not change.
Un número fijo en una expresión o ecuación que no cambia.
Unknown
Incógnita		The value you are trying to find, usually shown with a variable.
El valor que intentas encontrar, mostrado normalmente con una variable.

Practice Preview / Vista previa de práctica

  1. Which equation represents: 'A number plus 12 equals 30'?
    1. n + 12 = 30
    2. n − 12 = 30
    3. 12n = 30
    4. n / 12 = 30
  2. Match each situation to its equation
    • → ___
    • → ___
    • → ___
  3. For each situation, identify what the variable represents and write the equation.
  4. Find the Equation Error
    1. Step 1: Situation — Twice a number is 16
    2. Step 2: Identify operation — Twice means addition
    3. Step 3: Write equation — n + 2 = 16

    Which step has the mistake? Explain it and write the correct work.

Reflection / Reflexión

One thing I learned today / Una cosa que aprendí hoy: