"Math is not done with paper, pencil, or a calculator; math is done with the brain."

Preview:

This task helps students see that quantities in equations can be represented as distances on a number line and that the equality of either side of the equation is represented by equivalent distances on the number line.

Grade:

Grade 9

Task Type:

Connecting Representations

Source:

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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