Use properties of exponents (such as power of a power, product of powers, power of a product, and rational exponents, etc.) to write an equivalent form of an exponential function to reveal and explain specific information about its approximate rate of growth or decay.
- Add and subtract integers (e.g., use manipulatives, a number line or calculator to add 2 + -5).
- Use manipulatives to demonstrate what an exponent represents .
- Produce the correct amount of base numbers to be multiplied given a graphic organizer or template.
- Use manipulatives to simplify expressions using properties of exponents. (such as power of a power, product of powers, power of a product, and rational exponents, etc.).
- Use manipulatives to demonstrate exponential decay or growth. (i.e., Given a cup of M&M’s, pour them on a plate and remove the M&M’s with the M side up. Collect the remaining M&M’s and put in cup and repeat until there is only 1 M&M left. Record data and graph at each step.)
- Given a table, identify whether a function is growing exponentially.
- Given an equation, identify whether it is an exponential function.
- Identify whether an exponential function is a growth function or a decay function based on its graph.
- Understand the following concepts, symbols, and vocabulary: base number, exponent, integer.
- Select the correct expanded form of what an exponent represents
- Identify the number of times the base number will be multiplied based on the exponent.
- Understand that a negative exponent will result in a fraction with a numerator of 1 .
- Understand that b determines whether the graph will be increasing (growth) or decreasing (decay).
- Understand that b can be written as (1+r) or (1-r) where r is the rate of change.
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