Unpacked Content
Knowledge
Students know:
- Multiplying by 0.1 is the same as multiplying by 1/10 , the value of 10 percent can also be found by simply dividing by 10.
- 1% = 0.01 = 1 100 .
- Since multiplying by 0.01 is the same as multiplying by 1/100 , the value of 1 percent can also be found by simply dividing by 100.
- Adding a percent of a number onto the original number is the same thing as adding that percent to 100 and then finding that new percent of the number.
- Finding more than 100% of a number must yield an answer that is larger than the original number.
Skills
Students are able to:
- Convert between different forms of a rational number.
- Add, subtract, multiply and divide rational numbers.
Understanding
Students understand that:
- One form of a number may be more advantageous to use in a problem context than another form.
- Using estimation strategies helps to determine the reasonableness of answers.
- Finding one percent or ten percent of a number can facilitate solving percent problems.
Vocabulary
- Rational numbers
- Integers
- Estimation
