Lesson 1: x- and y- Intercepts, initial value, providing context for problems
Duration of Days: 2
Lesson Objective
Students will be able to identify and calculate the x-intercept and y-intercept of a linear equation in standard form and interpret these values as initial and terminal points within a real-world context.
Why is standard form useful for identifying intercepts and graphing?
How does the x-intercept and y-intercept represent specific "starting" or "end" states in real-world situations?
How do we find the intercepts algebraically when an equation is given in standard form?
Standard Form: Ax + By = C.
x-intercept: The point where a graph crosses the x-axis (y = 0)
.y-intercept: The point where a graph crosses the y-axis (x = 0); often represents the initial value.
Linear Equation: An equation that forms a straight line when graphed.Ordered Pair: (x, y) coordinates used to locate points on a plane.
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: Students will visualize intercepts before moving to algebraic calculation.
Purpose: To provide the foundational tools for graphing complex linear relationships that involve two different quantities.
DOK Level: Level 2 (Skill/Concept) – Calculating and identifying intercepts.
Provide a structured workspace for setting variables to zero.
Scaffolding: Provide a graphic organizer that prompts students: "To find the x-intercept, set y = 0. To find the y-intercept, set x = 0".
Exit ticket
Work samples