| 2.11 Understand and Apply Concepts Related
to Calculus |
2.11 Grade 3
(Calculus) |
2.11 Grade 5
(Calculus) |
2.11 Grade 8
(Calculus) |
2.11 Grade 11
(Calculus) |
| A. Study and application of limits |
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A1. Analyze graphs of related quantities for minimum and maximum
values and justify. |
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A2. Determine maximum and minimum values of a function over
a specified interval. |
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A3. Interpret maximum and minimum values in problem situations. |
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A4. Graph and interpret rates of growth/decay. |
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A5. Determine sums of finite sequences of numbers and infinite
geometric series. |
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A6. Estimate areas under curves using sequences of areas. |
| B. Comparing quantities and values |
B1. Identify whole number quantities and measurements from least
to most and greatest value. |
B1. Make comparisons of numbers such as more, less, same, least,
most, greater than, and less than. |
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B2. Identify least and greatest values represented in bar graphs
and pictographs. |
B2. Identify least and greatest values represented in bar and
circle graphs. |
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B3. Make, check, and verify predictions about the quantity,
size, and shape of objects and groups of objects. |
B3. Identify maximum and minimum. |
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B4. Analyze data using the concepts of largest, smallest, most
often, least often, and middle. |
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| C. Graphing rates of change |
C1. Categorize rates of change as faster and slower. |
C1. Describe the relationship between rates of change and time. |
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C1. Describe concept of unit rates, ratios, and slope in context
of rate of change. |
| D. Continuing patterns infinitely |
D1. Continue a pattern of numbers or objects that could be extended
infinitely. |
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D1. Continue a pattern of numbers or objects that could be extended
infinitely. |
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D2. Use patterns, sequences, and series to solve routine and
non-routine problems. |