Mathematics Curriculum Framework
Learning Standards by Strand
Patterns, Relations, and Algebra
for Grades 5-6
|Understand patterns, relations, and functions|
|Represent and analyze mathematical situations and structures using algebraic symbols|
|Use mathematical models to represent and understand quantitative relationships|
|Analyze change in various contexts|
Students engage in problem solving, communicating, reasoning, connecting, and representing as they:
|6.P.1||Analyze and determine the rules for extending symbolic, arithmetic, and geometric patterns and progressions, e.g., ABBCCC; 1, 5, 9, 13 ...; 3, 9, 27, .... |
|6.P.2||Replace variables with given values and evaluate/simplify, e.g., 2() + 3 when = 4. |
|6.P.3||Use the properties of equality to solve problems, e.g., if + 7 = 13, then = 13 - 7, therefore = 6; if 3 x = 15, then 1/3 x 3 x = 1/3 x 15, therefore = 5. |
|6.P.4||Represent real situations and mathematical relationships with concrete models, tables, graphs, and rules in words and with symbols, e.g., input-output tables. |
|6.P.5||Solve linear equations using concrete models, tables, graphs, and paper-pencil methods. |
|6.P.6||Produce and interpret graphs that represent the relationship between two variables in everyday situations. |
|6.P.7||Identify and describe relationships between two variables with a constant rate of change. Contrast these with relationships where the rate of change is not constant. |
Exploratory Concepts and Skills
- Use physical models to investigate and describe how a change in one variable affects a second variable.
- Use models to develop understanding of slope as constant rate of change.
- Model situations with proportional relationships and solve problems.