Analyze Graphs of Relationships Between Two Variables

6.AT.11 · Unit 9 · Lesson 2

Name   Period

Objectives / Objetivos

Content Objective: I can use a table and a graph to determine and analyze the relationship between two variable quantities.

Language Objective: I can describe what a point on a graph represents using the words ordered pair, axis, and coordinates.

Key Idea / Idea clave

Representing Two-Variable Relationships with Tables & Graphs. Formula: Table (x, y) → Graph Point (x, y). 1. Construct table: Put independent variable in column 1 (x) and dependent in column 2 (y). 2. Identify the rate of change or rule connecting x to y. 3. Plot the ordered pairs on the coordinate plane with x on horizontal axis and y on vertical

Vocabulary / Vocabulario

Term / TérminoDefinition / Definición
graph
gráfica		A picture on a coordinate plane that shows how two quantities are related.
Un dibujo en un plano de coordenadas que muestra cómo se relacionan dos cantidades.
table of values
tabla de valores		A list of matched pairs of values that shows a relationship using numbers.
Una lista de pares de valores que muestra una relación usando números.
ordered pair
par ordenado		Two numbers written as (x, y) that name one point on a graph. The independent variable comes first.
Dos números escritos como (x, y) que nombran un punto en la gráfica. La variable independiente va primero.
axis
eje		One of the two number lines that frame a graph. Each axis is labeled with a quantity from the problem.
Una de las dos rectas numéricas que enmarcan una gráfica. Cada eje se rotula con una cantidad del problema.
coordinates
coordenadas		The numbers in an ordered pair that tell how far to move along each axis to reach a point.
Los números de un par ordenado que indican cuánto avanzar por cada eje para llegar a un punto.
Rate of change
Tasa de cambio		How much y changes each time x goes up by one.
Cuánto cambia y cada vez que x aumenta en uno.

Practice Preview / Vista previa de práctica

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

1. Football tickets cost $45 each. What is the total cost of 3 tickets?

  1. A $45
  2. B $48
  3. C $90
  4. D $135

Answer:

2. The Sandia Peak tram travels 1,200 feet each minute and the ascent takes 15 minutes. How long is the whole ascent in feet?

  1. A 1,215 feet
  2. B 12,000 feet
  3. C 16,800 feet
  4. D 18,000 feet

Answer:

3. A tram starts at 0 feet and travels 1,200 feet each minute. On its graph, minutes are on the horizontal axis and feet on the vertical axis. Which ordered pair lies on this graph?

  1. A (5, 6000)
  2. B (5, 1200)
  3. C (5, 5000)
  4. D (6000, 5)

Answer:

4. Nakai's savings account has a principal of $750 and earns 3.5% simple interest each year. How much interest does Nakai earn in one year?

  1. A $3.50
  2. B $26.25
  3. C $75.00
  4. D $262.50

Answer:

Reflection / Reflexión

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