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Linear Equations and Systems of Equations Combined Unit

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Grade Levels
7th - 9th
Subjects
Standards
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  • Google Docs™
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    Description

    Unlock a comprehensive understanding of both linear equations and systems of equations with this meticulously crafted combined unit This unit seamlessly integrates lessons on solving linear equations, graphing lines, and tackling systems of linear equations. Delve into the fundamental concepts through engaging activities, including multiple-choice assessments covering slope, y-intercept, and equation solving, graphing exercises to reinforce plotting skills, and in-depth exploration of systems of equations through various solution methods such as substitution and elimination. Foster critical thinking with thought-provoking questions that prompt students to analyze and compare different linear equations and systems. Aligned with common core and state standards, this ready-to-use unit offers a cohesive approach to teaching and assessing these crucial algebraic topics. Download now for a comprehensive resource that will empower your students to master both linear equations and systems with confidence and proficiency.

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    Teaching Duration
    1 month
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    Standards

    to see state-specific standards (only available in the US).
    Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. For example, compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed.
    Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation 𝘺 = 𝘮𝘹 for a line through the origin and the equation 𝘺 = 𝘮𝘹 + 𝘣 for a line intercepting the vertical axis at 𝘣.
    Solve linear equations in one variable.
    Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form 𝘹 = 𝘢, 𝘢 = 𝘢, or 𝘢 = 𝘣 results (where 𝘢 and 𝘣 are different numbers).
    Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms.

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