Eighth graders break a linear equation into its parts, from the variable and coefficient to the constant, and see how slope-intercept form y = mx + b draws a straight line.
Students will be able to…
A single equation can describe every point on a line and predict values it never lists. What are the parts of a linear equation, and how do they build a straight line?
Project this and open each card to explore the parts of a linear equation, from variables and coefficients to the slope-intercept form y = mx + b.
Tap any phase to open the teacher moves and student actions.
A taxi charges $3 plus $2 a mile. How can one short equation capture every fare?
Students explore each part of a linear equation.
Students solve one-variable equations.
Students model a situation with y = mx + b.
Students reflect on the form.
Aligned to the Common Core State Standards for Mathematics.
Solve linear equations in one variable, including those with variables on both sides.
Graph proportional relationships and interpret the unit rate as the slope.
Interpret the equation y = mx + b as defining a linear function whose graph is a straight line.
Reason abstractly and quantitatively.
Preview the three formative checks. Tap “Sample answer” to see what mastery looks like — hide them before you print for students.
Have students pick a real rule (like a taxi fare), identify the slope and starting value, and write it in the form y = mx + b. A printable linear-equations worksheet is in the Mathematics library.
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A quick self-check with instant feedback, drawn from this lesson’s key terms.
A print-and-go review sheet with a built-in answer key. Tap “Show answer key” to reveal answers, or print the clean version for students.