Educator Services Teaching & Learning Curriculum Resources
Mathematics Curriculum Framework
November 2000

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

Learning Standards

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.