Unit 6: Expressions and Equations (Standard Form)

Utility of Standard Form:
Students will understand why standard form is useful for identifying x- and y-intercepts and efficiently graphing linear equations.  

Equation Conversion:
They will know how to convert between different forms of equations, specifically transitioning between standard form and slope-intercept form.  

Real-World Modeling:
Students will know how to use standard form to represent and compare two unrelated quantities in real-world situations, such as budgeting or fundraising scenarios.  

Constant Slope Concepts:
They will understand how similar triangles explain why the slope m is the same between any two points on a non-vertical line.

Find and Interpret Intercepts:
Students will identify x- and y-intercepts from a graph and calculate them directly from standard form equations.

Graph Linear Equations:
Use standard form to efficiently graph lines by plotting intercepts.

Convert Equation Forms:
Perform algebraic manipulations to convert between standard form and slope-intercept form (y=mx+b).

Model with Two Variables:
Write and solve standard form equations that represent real-world scenarios involving two unrelated quantities.

Analyze Proportional Relationships:
Use similar triangles to prove that the slope remains constant regardless of the two points chosen on a line.

The School Dance Fundraiser Performance Task:

Students will apply standard form to model a real-world fundraising scenario, demonstrating their ability to write equations and interpret intercepts.

Standard Form Matching Activity:

A card sort where students must match linear equations in standard form to their corresponding graphs and word problems.

Self-Checking Scavenger Hunt:

Students will complete an activity where they convert equations and find intercepts to solve a series of problems.   

Unit Test: A comprehensive summative assessment.