7.2 Introducing Proportional Relationships

Lesson 1

  • I can use equivalent ratios to describe scaled copies of shapes.
  • I know that two recipes will taste the same if the ingredients are in equivalent ratios.

Lesson 2

  • I can use a table to reason about two quantities that are in a proportional relationship.
  • I understand the terms proportional relationship and constant of proportionality.

Lesson 3

  • I can find missing information in a proportional relationship using a table.
  • I can find the constant of proportionality from information given in a table.

Lesson 4

  • I can write an equation of the form $y=kx$ to represent a proportional relationship described by a table or a story.
  • I can write the constant of proportionality as an entry in a table.

Lesson 5

  • I can find two constants of proportionality for a proportional relationship.
  • I can write two equations representing a proportional relationship described by a table or story.

Lesson 6

  • I can find missing information in a proportional relationship using the constant of proportionality.
  • I can relate all parts of an equation like $y = kx$ to the situation it represents.

Lesson 7

  • I can decide if a relationship represented by a table could be proportional and when it is definitely not proportional.

Lesson 8

  • I can decide if a relationship represented by an equation is proportional or not.

Lesson 9

  • I can ask questions about a situation to determine whether two quantities are in a proportional relationship.
  • I can solve all kinds of problems involving proportional relationships.

Lesson 10

  • I know that the graph of a proportional relationship lies on a line through $(0,0)$.

Lesson 11

  • I can draw the graph of a proportional relationship given a single point on the graph (other than the origin).
  • I can find the constant of proportionality from a graph.
  • I understand the information given by graphs of proportional relationships that are made up of points or a line.

Lesson 12

  • I can compare two, related proportional relationships based on their graphs.
  • I know that the steeper graph of two proportional relationships has a larger constant of proportionality.

Lesson 13

  • I can interpret a graph of a proportional relationship using the situation.
  • I can write an equation representing a proportional relationship from a graph.

Lesson 14

  • I can make connections between the graphs, tables, and equations of a proportional relationship.
  • I can use units to help me understand information about proportional relationships.

Lesson 15

  • I can answer a question by representing a situation using proportional relationships.