11 Components
Big Ideas
Formative Assessment Lesson
End of Unit Assessments
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Big Ideas
Formative Assessment Lesson
End of Unit Assessments
Big Idea:

### Rate of change describes how one quantity changes with respect to another.

1 week

Evidence of Understanding

• determine and apply the rate of change from a graph, table, sequence, or pattern
• describe how independent and dependent quantities/variables change in relation to each other
• describe rate of change with its attached units (Example: miles per hour)
• calculate the rate of change between pairs of values
• use the rate of change to extend a pattern, sequence, table, or graph
• use the common difference or common ratio to find terms in an arithmetic or geometric sequence

• interpret a mathematical representation using the rate of change
• calculate and articulate the usefulness of the average rate of change in relation to context
• recognize when the average rate of change is zero and describe its meaning
• analyze and compare rates of change within the context of situations
• recognize how scale or units impact a comparison
• convert one or both units for a given relationship, including the use of proportions and unit rate
• Example: convert miles per hour to feet per second
• understand unit conversion is a unit rate that is proportional and is linear when graphed

• compare linear, quadratic, and exponential functions using the rate of change
• recognize a constant rate of change in a table of values, graph, or situation
• explain why a line results when graphing a constant rate of change
• recognize the second difference for quadratic functions is constant
• recognize exponential functions grow by equal factors over equal intervals
• distinguish exponential growth from exponential decay
• match a situation with a graph or table using the function’s rate of change

Develop conceptual understanding:

rate, rate of change, average rate of change, proportion, constant rate of change, line, exponential function, exponential growth, exponential decay

Supporting terms to communicate:

function, f(x), axes, units, scale, coordinate point, ordered pair, table of values, interval, increasing, decreasing, positive, negative, turning point, maximum, minimum, intercept, dependent, independent, domain, range

Core Resource
A core resource supports multiple days of instruction. COMING SOON!