P8.1
Demonstrate understanding of linear relations concretely, pictorially (including graphs), physically, and symbolically.

[CN, ME, PS, R, T, V]

Indicators for this outcome
(a)

Analyze and describe the relationship shown on a graph for a given situation (e.g., "The graph is showing that, as the temperature rises, the number of people in the mall decreases").

(b)

Explain how a given linear relation is represented by a given table of values.

(c)

Model a linear relation shown as an equation, a graph, a table of values, or a concrete or pictorial representation in one or more other forms.

(d)

Analyze a set of equations, graphs, ordered pairs, and tables of values, sort the set according to representing the same linear relations, and explain the reasoning.

(e)

Determine the missing coordinate of an ordered pair given the equation of a linear relation, a table of values, or a graph and explain the reasoning.

(f)

Determine which of a set of graphs, equations, tables of values, sets of ordered pairs, and concrete or pictorial representations represent a linear relationship and justify the reasoning.

(g)

Determine if an ordered pair satisfies a linear relation given as a table of values, concrete or pictorial representation, graph, or equation and explain the reasoning.

(h)

Identify situations relevant to self, family, or community that appear to define linear relations and determine, with justification, whether the graph for the situation would be shown with a solid line or not.

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