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Equations and Tape Diagrams

Preview: 

This task helps students see that quantities in equations can be represented as lengths of bars and that the equality of either side of the equation is represented by equivalent lengths of bars. Additionally, this task focuses on the solution strategies for the equations and how these solution strategies are represented visually.

Grade: 
Grade 9
Task Type: 
Connecting Representations
Big Idea: 
Grade 9: The principles and processes underlying operations with numbers apply equally to algebraic situations and can be described and analyzed.
Content: 
includes distribution, variables on both sides of the equation, and collecting like terms, includes rational coefficients, constants, and solutions, solving and verifying 1 + 2x = 3 – 2/3(x + 6), solving symbolically and pictorially
Curricular Competency: 
Reasoning and analyzing: Develop mental math strategies and abilities to make sense of quantities
Understanding and solving: Develop, demonstrate, and apply mathematical understanding through play, inquiry, and problem solving
Understanding and solving: Visualize to explore mathematical concepts
Understanding and solving: Develop and use multiple strategies to engage in problem solving
Communicating and representing: Communicate mathematical thinking in many ways
Communicating and representing: Use mathematical vocabulary and language to contribute to mathematical discussions
Communicating and representing: Explain and justify mathematical ideas and decisions
Communicating and representing: Represent mathematical ideas in concrete, pictorial, and symbolic forms
Connecting and reflecting: Reflect on mathematical thinking

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