Algebraic Thinking: Equivalent Expressions and Equations with Variables
Algebraic Thinking: Equivalent Expressions and Equations with Variables
How does understanding equivalent expressions and the use of variables in equations enhance our ability to solve real-world problems and make informed decisions?
Critical Thinking: Students will analyze problems by breaking them into simpler parts and applying algebraic thinking to find solutions.
Adaptive Perseverance: Students will tackle challenging equations and expressions, exploring different strategies to find equivalent solutions.
Learner's Mindset: Students will approach algebraic concepts with curiosity and openness, understanding that making mistakes is part of learning and mastering new skills.
How can we apply the concept of equivalent expressions to simplify complex problems in everyday situations?
In what ways do variables allow for more flexible and comprehensive solutions to equations?
How can identifying and creating equivalent expressions improve our problem-solving strategies in various fields, such as economics or engineering?
Students will be able to identify and create equivalent expressions.
Students will apply their knowledge of algebraic thinking to solve real-world problems, showing their understanding through written explanations and presentations.
6.EE.A.2: Understand the concept of a variable and use variables to represent numbers and write expressions when solving a real-world or mathematical problem.
6.EE.A.3: Apply the properties of operations to generate equivalent expressions.
7.EE.B.3: Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form, using tools strategically.
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