Lesson 4: Review and Assessment
Duration of Days: 2
Lesson Objective
Students will be able to synthesize their understanding of linear equations in standard form (Ax+By=C) to model real-world constraints, justify choices between linear forms, and demonstrate mastery on a summative unit assessment.
How can we check the accuracy of an algebraic conversion between linear forms using a visual graph or a specific coordinate point?
What mathematical constraints are best represented by standard form versus slope-intercept form?
How can the intercepts of a real-world linear model help a person make data-driven budget decisions?
Standard Form (Ax+By=C)
Slope-Intercept Form (y=mx+b)
X-intercept & Y-intercept
Linear Constraints
Modeling
Synthesis
CCSS.MATH.CONTENT.8.EE.B.5: Graph proportional relationships, interpreting the unit rate as the slope of the graph.
CCSS.MATH.CONTENT.8.EE.C.7: Solve linear equations in one variable.
CCSS.MATH.CONTENT.8.EE.C.7.B: Solve linear equations with rational number coefficients.
Description: A two-day concluding sequence. Day 1 is dedicated to a synthesis performance task where students apply their knowledge to a collaborative funding scenario. Day 2 is dedicated to the individual summative unit assessment.
Purpose: To solidify procedural fluency, assess conceptual understanding of linear structures, and measure individual mastery of the unit goals.
DOK Level: Level 3 (Strategic Thinking / Complex Reasoning)
Students may view standard form and slope-intercept form as completely separate mathematical concepts rather than different ways to describe the exact same linear relationship.
When interpreting performance tasks, students might struggle to translate open-ended situational choices back into mathematical coordinates.
Allow students to use a physical or digital formula sheet detailing the core properties of both linear formats.
Exit Ticket
Unit Assessment