Representing Linear Relationships

T.i.P.S.

In sixth grade, students identified independent and dependent quantities from tables and graphs, wrote equations that represented the relationship between independent and dependent quantities from a table, and represented a given situation using verbal descriptions, tables, graphs, and equations in the form y = kx or y = x + b. Students represent linear relationships using verbal descriptions, tables, graphs, and equations. A linear relationship is a relationship with a constant rate of change represented by a graph that forms a straight line that passes through the origin (0, 0) and is represented by y = kx. The rate of change is either positive, negative, zero, or undefined. Students may encounter various representations such as verbal descriptions, tables, graphs, and equations in the form y = mx + b to describe algebraic relationships. Equations should include rational number coefficients and constants.  

Example

Mary had some money in her savings bank. She spent half of her money and then gave $3 to a local charity. How much money did she have remaining in her piggy bank? After determining the remaining amount of money in her savings account, rewrite this verbal statement in the form of a table, a graph or an equation.

Hint
Possible Solutions

TEKS

Readiness Standard

(7) Expressions, equations, and relationships. The student applies mathematical process standards to represent linear relationships using multiple representations.

The student is expected to represent linear relationships using verbal descriptions, tables, graphs, and equations that simplify to the form y = mx + b.

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