7th graders master solving multistep equations with rational numbers by applying properties, distributing, and combining like terms. They justify each step, check with substitution and estimation, and interpret solutions clearly within real-world contexts.

Grade 7 unit: Build fluency with linear expressions—combine like terms, use the distributive property with rational coefficients, and rewrite forms to reveal real-world meaning.

7th graders apply all four operations with rational numbers to solve multistep real-world problems. They plan, estimate, and compute using fractions or decimals, track units and signs, and verify results with error checks and clear, context-based conclusions.

7th graders gain fluency with multiplying and dividing signed fractions and decimals through sign rules, reciprocals, and real-world applications. They convert fractions to decimals, identify repeating or terminating forms, and check results for magnitude, sign, and reasonableness.

7th graders build fluency with adding and subtracting signed numbers using number lines, additive inverse rules, and real-world contexts like elevation and money changes. They connect direction, distance, and sign to explain and justify results with clarity and precision.

7th graders extend percent understanding to increases, decreases, commissions, and simple interest. They compare strategies—proportions, equations, and multipliers (1 ± r)—to solve multistep percent problems, justify method choices, and check results for accuracy and reasonableness.

7th graders master percent reasoning by solving real-world problems involving discounts, markups, tips, and tax. They use proportions, equations, and benchmark percents for quick estimates, accuracy checks, and clear communication of multistep calculations.

7th graders represent proportional relationships using y = kx, interpret key points (0,0) and (1,k) as the origin and unit rate, and solve for missing values with correct units. They connect equations, tables, and graphs to model real-world proportional situations precisely.

7th graders learn to identify proportional relationships, compute and interpret the constant of proportionality (k) from tables and graphs, and represent them using y = kx. They connect multiple representations to explain meaning, units, and real-world applications with precision.

7th graders master ratio reasoning by converting real-world comparisons into precise unit rates, including complex fractions and mixed units. They connect tables, double number lines, and y = kx equations to understand proportional relationships with accuracy and clarity.

7th graders build a strong math culture through discourse routines, self-checking, and error analysis. Engaging ratio, rate, and integer tasks strengthen number sense while fostering precision, collaboration, and confidence in mathematical communication.