7.2 Introducing Proportional Relationships
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- I can decide if a relationship represented by a table could be proportional and when it is definitely not proportional.
- I can decide if a relationship represented by an equation is proportional or not.
- 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.
- I know that the graph of a proportional relationship lies on a line through $(0,0)$.
- 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.
- 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.
- I can interpret a graph of a proportional relationship using the situation.
- I can write an equation representing a proportional relationship from a graph.
- 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.
- I can answer a question by representing a situation using proportional relationships.