**Vermont Education Standards**. Algebra is a study of the properties of operations on numbers. Algebra generalizes math by using symbols or letters to represent numbers. Read More...

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VT.7.10. Mathematical Problem Solving: Applications: Students use concrete, formal, and informal strategies to solve mathematical problems, apply the process of mathematical modeling, and extend and generalize mathematical concepts. Students apply mathematics as they solve scientific and technological problems or work with technological systems.

M4:34. Demonstrate understanding of mathematical problem solving and communication through mathematical representation - the use of mathematical representation to communicate the solution.

VT.7.8. Mathematical Understanding: Function and Algebra Concepts: Students use function and algebra concepts.

M4:21. Demonstrates conceptual understanding of algebraic expressions by using letters or symbols to represent unknown quantities to write simple linear algebraic expressions involving any one of the four operations; or by evaluating simple linear algebraic expressions using whole numbers.

M4:22. Demonstrates conceptual understanding of equality by showing equivalence between two expressions using models or different representations of the expressions, by simplifying numerical expressions where left to right computations may be modified only by the use of parentheses (expressions consistent with the parameters of M(FandA)-4-3), and by solving one-step linear equations of the form ax = c, x +/-b = c, where a, b, and c are whole numbers with a not equal to 0.