Module 4

This course is a part of 8th grade (Eureka Math/EngageNY), a 7-course Topic series from Khan Academy.

"In Module 4, students use similar triangles learned in Module 3 to explain why the slope of a line is well-defined. Students learn the connection between proportional relationships, lines, and linear equations as they develop ways to represent a line by different equations (y = mx + b, y – y1 = m, etc.). They analyze and solve linear equations and pairs of simultaneous linear equations. The equation of a line provides a natural transition into the idea of a function explored in the next two modules." Eureka Math/EngageNY (c) 2015 GreatMinds.org

This course contains 4 segments:

Topic A: Writing and solving linear equations

Topic A includes lessons 1-9 and covers writing equations using symbols, linear and nonlinear expressions in ?, linear equations in ?, solving a linear equation, writing and solving linear equations, solutions of a linear equation, classification of solutions, linear equations in disguise, and an application of linear equations. (Currently, we do not have content for Lessons 2 and 5.)

Topic B: Linear equations in two variables and their graphs

Topic B includes lessons 10-14 and covers a critical look at proportional relationships, constant rate, linear equations in two variables, the graph of a linear equation in two variables, and the graph of a linear equation―horizontal and vertical lines.

Topic C: Slope and equations of lines

Topic C includes lessons 15-23 and covers the slope of a non-vertical line, the computation of the slope of a non-vertical line, the line joining two distinct points of the graph ? = ?? + ? has Slope ?, there Is only one line passing through a given point with a given slope, the graph of a linear equation in two variables is a line, every line is a graph of a linear equation, some facts about graphs of linear equations in two variables, constant rates revisited, and the defining equation of a line.

Topic D: Systems of linear equations and their solutions

Topic D includes lessons 24-30 and covers introduction to simultaneous equations, geometric interpretation of the solutions of a linear system, characterization of parallel lines, nature of solutions of a system of linear equations, another computational method of solving a linear system, word problems, and conversion between celsius and fahrenheit.