Unpacked Content
Knowledge
Students know:
- That scientific notation is formed using base ten system and is the reason a 10 is used as the base number.
- Raising or lowering an exponent is has an effect on the place value of the decimal expansion.
- That scientific notation is formed using a base ten system.
- how to apply laws for multiplying and dividing exponents
Skills
Students are able to:
- Write numbers in standard notation in scientific notation.
- Convert numbers from scientific notation back to standard form.
- Use information given in scientific notation to estimate very large or small quantities given in real-world contexts.
- Perform multiplication and division with numbers expressed in scientific notation to solve real-world problems, including problems where both scientific and decimal notation are used.
- Choose between appropriate units of measure when determining solutions or estimating
Understanding
Students understand that:
- The movement of decimals in converting between scientific and standard notation is a function of an exponent.
- Every decimal place represents a power of ten (this is a connection many students have not made yet when thinking about place value).
- Scientific notation has real-world applications for very large and very small quantities found in many disciplines.
- performing scientific notation operations are another application of integer exponent operations.
Vocabulary
- Multiplicative relationship
- Scientific Notation
