Unit Description
This unit develops the structural similarities between the system of polynomials and the system of integers. Students draw on analogies between polynomial arithmetic and base–ten computations, focusing on properties of operations, particularly the distributive property through geometry contexts. Students connect multiplication of polynomials with multiplication of multi– digit integers through geometric contexts.
In this unit, students solve problems and interpret the structure of expressions through geometric contexts. Teachers should provide students with a broad range of contextual problems that offer opportunities for performing operations in applicable geometric contexts. The tasks presented in this unit address the G.PAR.2 standard to help students develop a conceptual understanding of the content.
In this unit, students solve problems and interpret the structure of expressions through geometric contexts. Teachers should provide students with a broad range of contextual problems that offer opportunities for performing operations in applicable geometric contexts. The tasks presented in this unit address the G.PAR.2 standard to help students develop a conceptual understanding of the content.
Standard Addressed in this Unit
- G.MP: Display perseverance and patience in problem-solving. Demonstrate skills and strategies needed to succeed in mathematics, including critical thinking, reasoning, and effective collaboration and expression. Seek help and apply feedback. Set and monitor goals.
- ● G.PAR.2 Interpret the structure of and perform operations with polynomials within a geometric framework.
- ○ G.PAR.2.1 Interpret polynomial expressions of varying degrees that represent a quantity in terms of its given geometric framework.
- ○ G.PAR.2.2 Perform operations with polynomials and prove that polynomials form a system analogous to the integers in that they are closed under these operations.
- ○ G.PAR.2.3 Using algebraic reasoning, add, subtract, and multiply single variable polynomials.
- G.MM.1: Apply mathematics to real-life situations; model real-life phenomena using mathematics.
o G.MM.1.1 Explain mathematically applicable problems using a mathematical model.
o G.MM.1.2 Create mathematical models to explain phenomena that exist in the natural sciences, social sciences, liberal arts, fine and performing arts, and/or humanities contexts.
o G.MM.1.3 Using abstract and quantitative reasoning, make decisions about information and data from a mathematically applicable situation.
o G.MM.1.4 Use various mathematical representations and structures with this information to represent and solve real-life problems.