Growing, Growing, Growing
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Growing, Growing, Growing |
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Enrichment Activities
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Sierpinski Triangle |
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Sierpinski's Carpet |
Objectives In This Unit
| Build and analyze exponential models | Reason about exponential relationships |
| Explore the significance of shapes of graphs and patterns in tables | Make sense of the symbols in the expression y=a(b2) |
| Explore rates of growth | Recognize and describe situations that can be modeled with exponential functions |
| Use exponents |
Vocabulary
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Base | The number that is raised to a power in an exponential expression. |
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Compound Growth | Another term for exponential growth, usually used when talking about the monetary value of an investment. The change in the balance of a savings account shows compound growth because the bank pays interest not only on the original investment, but on the interest earned. |
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Decay Factor | The constant factor that each value in an exponential decay pattern is multiplied by to get the next value. The decay factor is the base in an exponential decay equation. |
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Exponent | A number that indicates how many times another number (the base) is to be used as a factor. Exponents are written as raised numbers to the right of the base. |
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Exponential Decay | A pattern of decrease in which each value is found by multiplying the previous value by a constant factor greater than 0 and less than 1. |
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Exponential Form | A quantity expressed as a number raised to a power. |
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Exponential Growth | A pattern of increase in which each value is found by multiplying the previous value by a constant factor greater than 1. |
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Growth Factor | The constant factor that each value in an exponential growth pattern is multiplied by the get the next value. The growth factor is the base in an exponential growth equation. |
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Standard Form | The most common way to express a quantity. |