MA19.7A.24

Mathematics (2019) Grade(s): 7 - Grade 7 Accelerated

MA19.7A.24
Explain why the x-coordinates of the points where the graphs of the equations $y = f(x)$ and $y = g(x)$ intersect are the solutions of the equation $f(x) = g(x)$. Limit to linear equations. [Algebra I with Probability, 19]

Unpacked Content

Knowledge

Students know:

That a point of intersection between two linear functions represents one solution to those functions.

Skills

Students are able to:

Use mathematical language to explain why the x-coordinates are the same at intersection for y = f(x) and y = g(x).

Understanding

Students understand that:

That in cases of a system of linear equations, there is sometimes only one, common point for each one that yields a solution. This is different from previous experiences with single linear equations where every point on its line is a solution set.

Vocabulary

x-intercepts
y-intercepts
Point of intersection
One solution

Aligned Learning Resources

How Many Solutions?: Algebra 1, Episode 14: Unit 7, Lesson 5 | Illustrative Math

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