Essential Question:  How do we model and solve problems related to growth and motion with linear equations, graphs, tables, and words?

Unit Rationale:  Representing linear relationships using graphs, tables, and equations allows us to model, understand, and make predictions using real-world data.

As a result of this unit, students will be able to:

Ø  Model a constant rate of change using a table, graph, equation, or words.

Ø  Solve equations using the balancing method

Ø  Model a linear relationship using slope-intercept form

Ø  Calculate the slope of a line using the slope formula

Vocabulary:

·         Balancing

·         Constant rate of change

·         Input-output table

·         Linear equation

·         Linear Growth

·         Recursive sequence

·         Multiple representations

·         Subscript

 

 

Standards: Standards will be assessed on both the state and classroom levels, however, standards with an asterisk (*) in the code will count for graduation requirements. 

Focus Standards:

*A1.1.B  Solve Problems that can be represented by linear functions, equations, and inequalities.

*A1.3.B  Represent a function with a symbolic expression, as a graph, in a table, and using words, and make connections among these representations.

Supporting Standards:

*A1.4.A  Write and solve linear equations and inequalities in one variable.

*A1.4.B  Write and graph an equation for a line given the slope and y-intercept, the slope and a spoint on the line, or two points on the line, and translate between forms of linear equations.

*A1.4.C  Identify and interpret the slope and the intercepts of a linear functions, including equations for parallel and perpendicular lines.

*A1.7.C  Express arithmetic and geometric sequences in both explicit and recursive forms, translate between the two forms, explain how rate of change is represented in each form, and use the forms to find specific terms in the sequence.

Reasoning, Problem Solving, and Communication Standards:

A1.8.A  Analyze a problem situation and represent it mathematically.

A1.8.B  Select and apply strategies to solve problems.

A1.8.C  Evaluate a solutions for reasonableness, verify its accuracy, and interpret the solution in the context of the original problem.