Lesson 3: Converting Between Standard Form and Slope-Intercept Form
Duration of Days: 2
Lesson Objective
Students will be able to algebraically convert linear equations between standard form (Ax + By = C) and slope-intercept form (y = mx + b) to choose the most efficient representation for a given mathematical task.
How do we convert different forms of equations into standard form?
Why might we need to convert an equation from standard form to slope-intercept form before graphing?
What algebraic steps are required to isolate the y variable in a standard form equation?
Standard Form: Ax + By = C.
Slope-Intercept Form: y = mx + b.
Variable Isolation: The process of using inverse operations to get a single variable by itself on one side of an equation.
Coefficient: The numerical factor of a term containing a variable.
8.EE.B.6: Use similar triangles to explain why the slope m is the same between any two distinct points... derive the equation y = mx + b for a line intercepting the vertical axis at b.
Target D.2: The student solves linear equations in one variable with rational coefficients.
Description: Practice converting standard form to slope-intercept form.
Purpose: To provide students with the flexibility to analyze functions using whichever form is most convenient for the specific context of a problem.
DOK Level: Level 2 (Skill/Concept) – Performing algebraic conversions.
Sign Errors: Forgetting to change signs when moving terms across the equal sign.
Division Errors: Failing to divide both the x-term and the constant by the coefficient of y when isolating the variable 1 .
Scaffolding: Provide a template to help students organize the multi-step algebraic process.
Exit Tickets