Problem Solving
- build new mathematical knowledge through problem solving;
- solve problems that arise in mathematics and in other contexts;
- apply and adapt a variety of appropriate strategies to solve problems;
- monitor and reflect on the process of mathematical problem solving.
|
|
Reasoning and Proof
- recognize reasoning and proof as fundamental aspects of mathematics;
- make and investigate mathematical conjectures;
- develop and evaluate mathematical arguments and proofs;
- select and use various types of reasoning and methods of proof.
|
|
Communication
- organize and consolidate their mathematical thinking through communication;
- communicate their mathematical thinking coherently and clearly to
peers, teachers, and others;
- analyze and evaluate the mathematical thinking and strategies of others;
- use the language of mathematics to express mathematical ideas precisely.
|
|
Connections
- recognize and use connections among mathematical ideas;
- understand how mathematical ideas interconnect and build on one another
to produce a coherent whole;
- recognize and apply mathematics in contexts outside of mathematics.
|
|
Representations
- create and use representations to organize, record, and communicate
mathematical ideas;
- select, apply, and translate among mathematical representations to
solve problems;
- use representations to model and interpret physical, social, and mathematical
phenomena.
|
|
Number and Operations |
|
Algebra |
|
Geometry |
|
Measurement |
|
Data Analysis and Probability |
. |
Disposition |
|