Explore Integers and Their Opposites

6.NOS.5 · 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.
Opposite of the opposite
Opuesto del opuesto		Taking the opposite twice brings you back to the first number.
Tomar el opuesto dos veces te devuelve al primer número.

Practice Preview / Vista previa de práctica

Read each task. Show your work in the spaces provided and explain how you know.

1. Badwater Basin is 86 meters below sea level, and sea level is 0. Which integer represents that elevation?

  1. A -86
  2. B -68
  3. C 0
  4. D 86

Answer:

2. Which list of integers is ordered from LEAST to GREATEST?

  1. A -8, -3, 0, 5
  2. B -3, -8, 0, 5
  3. C 0, -3, -8, 5
  4. D 5, 0, -3, -8

Answer:

3. Badwater Basin is at -86 meters. Which elevation is FARTHER below sea level than Badwater Basin?

  1. A -120 meters
  2. B -40 meters
  3. C 0 meters
  4. D 86 meters

Answer:

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. A -12°C and 12°C
  2. B 0°C and 12°C
  3. C 12°C and -12°C
  4. D 12°C and 24°C

Answer:

Reflection / Reflexión

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