7th Grade Math: Ratios, Proportions, Percents and Rational Numbers

This 16-class 7th grade math course develops foundational skills in ratios, proportional relationships, percent applications, integers, and rational-number operations. The course begins with ratios and unit rates, then moves to equivalent ratios, constants of proportionality, and graphing proportional relationships on coordinate planes. Students apply proportional reasoning to solve percent problems and multi-step real-world scenarios, including discounts, markups, tax, tips, and percent increase or decrease. In the second half of the course learners focus on integers and rational numbers. They represent, compare, and order integers and rational numbers on number lines, then practice adding, subtracting, multiplying, and dividing integers, fractions, and decimals. Lessons include use of efficient strategies, evaluating expressions using the order of operations, and interpreting absolute value and distance. Throughout, instruction uses guided examples, visual representations, practice problems, and mathematical reasoning activities to build fluency and conceptual understanding. The final class is a comprehensive review that reinforces major concepts and prepares learners to apply these skills to multi-step, real-world problems.