Lesson 2: Writing Equations, Slope Intercept Form
Duration of Days: 3
Lesson Objective
Students will be able to construct linear equations in slope-intercept form (y = mx + b) by identifying the slope (m) and y-intercept (b) from various representations, including graphs, tables, and verbal descriptions.
How do you determine which value in a real-world scenario is the constant (initial value) and which is the rate of change?
If you are given a graph, what is the most efficient way to identify the b value before calculating m?
How can you check if an equation you wrote correctly represents a given table of values?
Slope-Intercept Form: The equation of a straight line in the form y = mx + b.
m (Slope): The coefficient of x representing the rate of change.
b (Y-Intercept): The constant term representing the initial value.
Substitution: The process of replacing variables with known values to verify or solve an equation.
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 C.5: The student finds the equation y = mx or y = mx + b for a line.
Description: Students will practice the algebraic transition of moving from "finding pieces" (slope and intercept) to "building the whole" (the equation).
Purpose: Skill-building for mastering the construction of these equations.
DOK Level: Level 2 (Skill/Concept) – Writing equations from given features; Level 3 (Strategic Thinking) – Deriving equations from complex word problems.
Support: Provide a Slope-Intercept Form Template where students "plug and play" the values they find for m and b into designated boxes.
Scaffolding: Use a Study Guide to provide a one-pager of worked examples.
Work samples
Observations
Exit Tickets