Acc6.5 Proportional Relationships
- 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 can find the constant of proportionality from a graph.
- I know that the graph of a proportional relationship lies on a line through $(0,0)$.
- 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 examine quotients and use a graph to decide whether two associated quantities are in a proportional relationship.
- I understand that it can be difficult to measure the quantities in a proportional relationship accurately.
- I can describe the characteristics that make a shape a circle.
- I can identify the diameter, center, radius, and circumference of a circle.
- I can describe the relationship between circumference and diameter of any circle.
- I can explain what $\pi$ means.
- I can choose an approximation for $\pi$ based on the situation or problem.
- If I know the radius, diameter, or circumference of a circle, I can find the other two.
- I can calculate the area of a complicated shape by breaking it into shapes whose area I know how to calculate.
- I know the formula for area of a circle.
- I know whether or not the relationship between the diameter and area of a circle is proportional and can explain how I know.
- I can calculate the area of more complicated shapes that include fractions of circles.
- I can write exact answers in terms of $\pi$.
- 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.
- I can decide whether a situation about a circle has to do with area or circumference.
- I can use formulas for circumference and area of a circle to solve problems.
- I can apply my understanding of area and circumference of circles to solve more complicated problems.