This learning Progression is based the Agile Mind Curriculum. During the introduction of functions students will plot the points from the table and determine how linear functions work and look like. By graphing and analyzing, students will begin to understand linear equations. Students will begin by understanding rate of change and slope whether the line is parallel and perpendicular. The equation slope will be learned and shown in different manners. Students will not be required to learn formulas, but build comprehensive understanding that help them understand and find key components of a linear equation/function.

The entry task for the beginning of the learning progression has students analyze the angles of perpendicular lines.

Opener

Students will be asked to use a protractor to measure the angle of the given lines. Students then will be able to determine that the angle is 90 degrees therefore emphasizing the concept of perpendicular lines (Fig. 1). They will understand that perpendicular lines make a right angle. Students will then be asked to describe the relationship between the given two lines using the following vocabulary: right angle, intersection, lines, and perpendicular.  

Assessment

This assessment requires students to dissect the given equation to determine the slope for a parallel and perpendicular line and then graph all the lines in the given problem.

 

Learning Progression: Linear Functions