Explore Integers and Their Opposites

6.NOS.6 · Unit 7 · Lesson 1

Name   Period

Objectives / Objetivos

Content Objective: I can use integers to represent quantities in everyday life, explain what 0 means in each situation, and name the opposite of an integer on the number line.

Language Objective: I can explain my reasoning using the words integer, opposite, negative, positive, and number line.

Key Idea / Idea clave

Integers & Opposites. 1. Integers: Positive whole numbers, negative whole numbers, and zero (..., -2, -1, 0, 1, 2, ...). 2. Opposites: Numbers that are the same distance from 0 in opposite directions (e.g. -5 and 5). 3. The opposite of the opposite of a number is the number itself: -(-a) = a

I Notice / Observo

  • Why does 0 represent sea level rather than 'nothing'?
  • Will Badwater Basin be above or below 0 on a number line?

I Wonder / Me pregunto

  • What number is exactly as far above sea level as Badwater Basin is below it?

Vocabulary / Vocabulario

Term / TérminoDefinition / Definición
Integer
Número entero		The counting numbers, their opposites, and 0.
Los números para contar, sus opuestos y el 0.
Opposite
Opuesto		A number that is the same distance from 0 as another number, but on the other side of 0.
Un número que está a la misma distancia de 0 que otro número, pero del otro lado del 0.
Negative number
Número negativo		A number less than 0, written with a − sign. On a number line it sits to the left of 0.
Un número menor que 0, escrito con un signo −. En la recta numérica queda a la izquierda del 0.
Positive number
Número positivo		A number greater than 0. On a number line it sits to the right of 0.
Un número mayor que 0. En la recta numérica queda a la derecha del 0.
Number line
Recta numérica		A straight line where numbers are placed in order. It extends to the left of 0 to show values less than 0.
Una recta donde los números se colocan en orden. Se extiende a la izquierda del 0 para mostrar valores menores que 0.

Practice Preview / Vista previa de práctica

  1. Badwater Basin is 86 meters below sea level, and sea level is 0. Which integer represents that elevation?
    1. -86
    2. 86
    3. 0
    4. -68
  2. Which list of integers is ordered from LEAST to GREATEST?
    1. -8, -3, 0, 5
    2. -3, -8, 0, 5
    3. 0, -3, -8, 5
    4. 5, 0, -3, -8
  3. Badwater Basin is at -86 meters. Which elevation is FARTHER below sea level than Badwater Basin?
    1. -120 meters
    2. -40 meters
    3. 0 meters
    4. 86 meters
  4. At 6 a.m. in Reykjavik the temperature was -12°C. At 2 p.m. it was the opposite of the 6 a.m. temperature, and at 11 p.m. it was the opposite of the 2 p.m. temperature. What were the temperatures at 2 p.m. and 11 p.m.?
    1. 12°C and -12°C
    2. -12°C and 12°C
    3. 12°C and 24°C
    4. 0°C and 12°C

Reflection / Reflexión

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