Created on: September 21, 2007

Website Address: https://www.curriki.org/oer/Grades-5-6--Patterns-Relations-and-Algebra

Mathematics Curriculum Framework

November 2000## Learning Standards by Strand

### Patterns, Relations, and Algebra

for Grades 5-6

#### Learning Standards

Students engage in problem solving, communicating, reasoning, connecting, and representing as they:

#### Exploratory Concepts and Skills

November 2000

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 |

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. |

- 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.