Write and Represent Inequalities

6.AT.9 · Unit 8 · Lesson 4

Name   Period

Objectives / Objetivos

Content Objective: I can write inequalities to represent real-world situations.

Language Objective: I can explain my inequality using the words inequality, greater than, less than, and at least / at most.

Key Idea / Idea clave

Writing & Representing Inequalities. Formula: < (less) | > (greater) | ≤ (at most / ≤) | ≥ (at least / ≥). 1. 'At least', 'minimum', 'no less than' translate to ≥ (greater than or equal to). 2. 'At most', 'maximum', 'no more than' translate to ≤ (less than or equal to). 3. 'More than' is >; 'Fewer than' / 'Less than' is <

I Notice / Observo

  • What does 'at least 18' mean about the suspect's age?
  • Could the suspect be exactly 18?

I Wonder / Me pregunto

  • What if the witness said the suspect was less than 30 years old?

Vocabulary / Vocabulario

Term / TérminoDefinition / Definición
Write Inequalities
Escribir desigualdades		Represent a range of possible values with <, >, ≤, or ≥.
Representar un rango de valores posibles con <, >, ≤ o ≥.
Inequality
Desigualdad		A math sentence that compares two sides with <, >, ≤, or ≥.
Una oración matemática que compara dos lados con <, >, ≤ o ≥.
Greater than
Mayor que		The > sign, showing one number is bigger.
El signo >, que muestra que un número es mayor.
Less than
Menor que		The < sign, showing one number is smaller.
El signo <, que muestra que un número es menor.
At least / At most
Al menos / A lo más		'At least' means ≥. 'At most' means ≤.
'Al menos' significa ≥. 'Como máximo' significa ≤.
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.

Practice Preview / Vista previa de práctica

  1. Which inequality represents: 'The temperature is less than 40 degrees'?
    1. t < 40
    2. t > 40
    3. t ≤ 40
    4. t = 40
  2. Match each situation to its inequality
    • → ___
    • → ___
    • → ___
  3. Identify the key phrase, symbol, and write the inequality for each situation.
  4. Find the Inequality Error
    1. Step 1: Situation — No more than 25 students can join the field trip
    2. Step 2: Identify key phrase — 'No more than' means greater than
    3. Step 3: Write inequality — s > 25

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

Reflection / Reflexión

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