MA19.A1.7
Add, subtract, and multiply polynomials, showing that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication.
Unpacked Content
UP:MA19.A1.7
Vocabulary
- Polynomials
- Closure
- Analogous system
Knowledge
Students know:
- Corresponding rules of arithmetic of integers, specifically what it means for the integers to be closed under addition, subtraction, and multiplication, and not under division.
- Procedures for performing addition, subtraction, and multiplication on polynomials.
Skills
Students are able to:
- Communicate the connection between the rules for arithmetic on integers and the corresponding rules for arithmetic on polynomials.
- Accurately perform combinations of operations on various polynomials.
Understanding
Students understand that:
- There is an operational connection between the arithmetic on integers and the arithmetic on polynomials.
Body
- Add, subtract, and multiply polynomials, showing that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication.
Evidence of Student Attainment
Students: <ul><li>
Use the repeated reasoning from prior knowledge of properties of arithmetic on integers to progress consistently to rules for arithmetic on polynomials.
</li><li>Accurately perform combinations of operations on various polynomials.</li></ul>
Use the repeated reasoning from prior knowledge of properties of arithmetic on integers to progress consistently to rules for arithmetic on polynomials.
</li><li>Accurately perform combinations of operations on various polynomials.</li></ul>
