7th Grade Math

Course Length

2 Semesters

This course begins with an in-depth study of proportional reasoning where students utilize concrete models such as bar diagrams and tables to increase and develop conceptual understanding of rates, ratios, proportions, and percentages. Students build on their proportional reasoning to solve problems about scale drawings by relating the corresponding lengths between objects. Students’ number fluency and understanding of the rational number system are extended as they perform operations with signed rational numbers embedded in real-world contexts.

In statistics, students develop meanings for representative samples, measures of central tendency, variation, and the ideal representation for comparisons of given data sets. Students develop an understanding of both theoretical and experimental probability. Throughout the course, students build fluency in writing expressions and equations that model real-world scenarios. They apply their understanding of inverse operations to solve multistep equations and inequalities. The course concludes with a geometric analysis of angle relationships, area, and volume of both two- and three-dimensional figures.

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Overview of Concepts

• Unit 1: Proportional Relationships
• Unit 2: Percents
• Unit 3: Operations with Integers
• Unit 4: Operations with Rational Numbers
• Unit 5: Probability
• Unit 6: Sampling and Comparing Populations
• Unit 7: Expressions
• Unit 8: Equations
• Unit 9: Inequalities
• Unit 10: Two-Dimensional Geometry
• Unit 11: Three-Dimensional Geometry