6.3.6: Equivalence and Relational Thinking: Use concepts and properties of equivalence and relational thinking to represent and compare numerical expressions, proportional relationships, algebraic expressions and equations.

Equivalence and Relational Thinking: Use concepts and properties of equivalence and relational thinking to represent and compare numerical expressions, proportional relationships, algebraic expressions and equations.

6.3.6.01Generate equivalent numerical expressions involving positive rational numbers and justify why expressions are equivalent.6.3.6.02Determine equivalences among fractions, decimals and percentages involving rational numbers. Convert between equivalent representations.6.3.6.03Represent mathematical situations using expressions, equations and inequalities involving variables and positive rational numbers.6.3.6.04Solve one-step equations, including equations of the form x + p = q and px = q for cases in which p, q and x are all positive rational numbers. Use number sense, properties of arithmetic and the idea of maintaining equality on both sides of the equation. Interpret a solution in the original context and assess the reasonableness of results.6.3.6.05Identify and use ratios to compare quantities. Understand that comparing quantities using ratios is not the same as comparing quantities using subtraction.6.3.6.06Solve ratio and rate situations, including mixtures and concentrations, by modeling with tables of equivalent ratios, tape diagrams, double number lines or equations.

1-on-1 AI tutoring aligned to 6.3.6. Instant help for students, real-time insights for teachers.

Used in classrooms by 100,000+ students at Baltimore County, Plano ISD, Deer Valley USD, KIPP, and districts nationwide.

Free for teachers, forever →