Explore Relationships Between Two Variables

6.AT.11 · Unit 9 · Lesson 1

Name   Period

Objectives / Objetivos

Content Objective: I can recognize when two quantities change together, and identify which one is the independent variable and which is the dependent variable.

Language Objective: I can explain which quantity depends on the other using the words independent variable, dependent variable, and depends on.

Key Idea / Idea clave

Independent & Dependent Variables. 1. Independent Variable (x): The input / cause that is chosen or changes freely. 2. Dependent Variable (y): The output / effect that depends on the independent variable. 3. Sentence check: 'The (dependent) depends on the (independent)'

Vocabulary / Vocabulario

Term / TérminoDefinition / Definición
independent variable
variable independiente		The input quantity in a model, chosen or observed.
La cantidad de entrada de un modelo, elegida u observada.
dependent variable
variable dependiente		The quantity that changes in response to the independent variable.
La cantidad que cambia en respuesta a la variable independiente.
depends on
depende de		One quantity depends on another when changing the first causes the second to change.
Una cantidad depende de otra cuando cambiar la primera hace cambiar la segunda.
quantity
cantidad		Something that can be counted or measured.
Algo que se puede contar o medir.
relationship
relación		How two quantities change together.
Cómo dos cantidades cambian juntas.
Table of values
Tabla de valores		A list of matched input and output pairs.
Una lista de pares de valores de entrada y salida relacionados.

Practice Preview / Vista previa de práctica

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

1. Akela chooses how many hours of sunlight each tray gets. Which is the INDEPENDENT variable?

  1. A Plant height
  2. B Hours of sunlight
  3. C Number of trays
  4. D Number of seeds

Answer:

2. A gym charges $24.95 per month. Which pair correctly names the variables?

  1. A Independent: months; Dependent: total cost
  2. B Independent: total cost; Dependent: months
  3. C Independent: $24.95; Dependent: months
  4. D Independent: months; Dependent: $24.95

Answer:

3. Claire jogs 30 minutes and burns 123 Calories. At the same rate, how many Calories would a 90-minute jog burn?

  1. A 246
  2. B 300
  3. C 369
  4. D 410

Answer:

4. Two quantities are related. Which statement is ALWAYS true?

  1. A The independent variable is always the larger number
  2. B The independent variable is the input used to describe the relationship
  3. C The dependent variable is always measured in dollars
  4. D The independent variable is always listed first in a table

Answer:

Reflection / Reflexión

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