Write and Represent Inequalities
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 / Término | Definition / 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
Read each task. Show your work in the spaces provided and explain how you know.
1. Which inequality represents: 'The temperature is less than 40 degrees'?
- A t < 40
- B t > 40
- C t ≤ 40
- D t = 40
Answer:
2. Match each situation to its inequality
Write the letter of the matching item in the blank.
| 1. | A suspect weighs more than 150 pounds. | A. | d ≥ 5 | |
| 2. | The detective can spend at most $200 on equipment. | B. | w > 150 | |
| 3. | The crime happened fewer than 3 hours ago. | C. | c ≤ 200 | |
| 4. | The vault requires at least 5 digit codes. | D. | t < 3 |
3. Identify the key phrase, symbol, and write the inequality for each situation.
Complete each empty cell. Show your reasoning below.
| Situation | Key Phrase | Symbol | Inequality |
|---|---|---|---|
| A package weighs less than 50 pounds. | |||
| You need at least $25 to buy the game. | |||
| No more than 30 students can join the club. |
4. Find the Inequality Error
Which step has the mistake, and what should it be?
Reflection / Reflexión
One thing I learned today / Una cosa que aprendí hoy: