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A1-A-3-1

Page history last edited by Brenda Butz 6 years, 2 months ago

A1.A.3.1 Solve equations involving several variables for one variable in terms of the others.

In a Nutshell

Students will solve equations with multiple variables for a specific variable in order to solve linear equations for graphing and to write equivalent formulas, building on pre-algebra properties of solving equations.

Student Actions	Teacher Actions
Students will develop accurate and appropriate procedural fluency when solving equations of varying types and manipulatIng equations by using inverse properties. Students will develop a deep and flexible conceptual understanding as previous knowledge of solving one-variable multi-step equations is applied to solving equations with multiple variable	Build procedural fluency from conceptual understanding by guiding students to apply previous knowledge of solving equations to manipulating literal equations and solving real-world situations. Pose purposeful questions to assess students’ reasoning as they solve for a variable and justify their thinking. Implement tasks that promote reasoning and problem solving by helping students to interpret the solution in the original context of the problem
Key Understandings	Misconceptions
Accurately solve literal equations for a single variable using algebraic properties of equality. Justify work when solving. Interpret the solution correctly in the context of the problem. Example: Solve d = rt for r Example: What is the slope of the line with equation 3x + 2y = 8? 3x + 2y = 8 2y = –3x + 8 y = ( –3/2 ) x + 4 Interpretation: Then the slope is m = –3/2.	Students may use the incorrect operation to balance the equation on both sides. Students may solve for the incorrect variable when multiple variables are in an equation. Students may misinterpret the variable in the context of the equation.