Topic: Matrices |
Mathematics |
| Standard 2. Understands and applies basic and advanced properties of the concepts of numbers |
| | Level IV (Grade 9-12) |
| | | Benchmark 3. | Uses discrete structures (e.g., finite graphs, matrices, sequences) to represent and to solve problems |
| | | | Knowledge/skill statements |
| | | | | 1. | Determines whether a problem can be modeled by number sequences |
| | | | | 2. | Determines whether a problem can be solved by identifying number sequences |
| | | | | 3. | Understands the concept of a number sequence |
| | | | | 4. | Understands the concept of finite graphs |
| | | | | 5. | Determines whether a problem can be modeled by finite graphs |
| | | | | 6. | Understands the concept of discrete structures |
| | | | | 7. | Determines whether a problem can be solved by using finite graphs |
| | | | | 8. | Determines whether a problem can be modeled using matrices |
| | | | | 9. | Determines whether a problem can be solved by using matrices |
| | | | | 10. | Determines whether a problem can be modeled using discrete structures |
| | | | | 11. | Determines whether a problem can be solved by using discrete structures |
| Standard 3. Uses basic and advanced procedures while performing the processes of computation |
| | Level IV (Grade 9-12) |
| | | Benchmark 5. | Understands basic applications of and operations on matrices |
| | | | Knowledge/skill statements |
| | | | | 1. | Understands the concept of a matrix |
| | | | | 2. | Adds matrices |
| | | | | 3. | Subtracts matrices |
| | | | | 4. | Multiplies matrices |
| | | | | 5. | Divides matrices |
| | | | | 6. | Understands the applications of matrices |
| Standard 8. Understands and applies basic and advanced properties of functions and algebra |
| | Level IV (Grade 9-12) |
| | | Benchmark 2. | Uses expressions, equations, inequalities, and matrices to represent situations that involve variable quantities and translates among these representations |
| | | | Knowledge/skill statements |
| | | | | 1. | Understands the relationship between inequalities and equations |
| | | | | 2. | Transforms inequalities to equations |
| | | | | 3. | Understands the relationship between equations and matrices |
| | | | | 4. | Represents equations in matrix form |
| | | | | 5. | Understands the relationship between expressions and equations |
| | | | | 6. | Understands the relationship between expressions and inequalities |
| | | | | 7. | Understands the relationship between expressions and matrices |
| | | | | 8. | Understands the relationship between inequalities and matrices |
| | | | | 9. | Understands the concept of an algebraic expressions |
| | | Benchmark 11. | Uses a variety of methods (e.g., with graphs, algebraic methods, and matrices) to solve systems of equations and inequalities |
| | | | Knowledge/skill statements |
| | | | | 1. | Solves systems of equations using graphs |
| | | | | 2. | Solves systems of equations using matrices |
| | | | | 3. | Solves systems of equations using algebraic methods |
| | | | | 4. | Understands the concept of systems of inequalities |
| | | | | 5. | Solves systems of inequalities using algebraic methods |
| | | | | 6. | Solves systems of inequalities using graphs |
| | | | | 7. | Solves systems of inequalities using matrices |