# 7th Grade Math

### Course Summary

In 7th grade Math at Match School, students continue their development of skills in ratios and proportions, rational numbers, equations and expressions, geometry, and data analysis.

During 7th grade students learn to operate with integers—a skill that is built upon in 8th grade and beyond. Students expand their understanding of what an integer is, and of how integers are part of a larger set of rational numbers. They work with integers and other rational numbers in operational and contextual situations.  The students’ work with operations on rational numbers is foundational to the equations work students do in 8th grade.

Work with proportional relationships comprises the major work of 7th grade Math. Students connect the ideas of representing ratios in graphs, tables, equations, and verbal descriptions to more formally describing these relationships as “proportional”. Students also identify particular characteristics that are evident in all of these representations. Proportional reasoning is used as the foundation for many of the standards developed in 8th grade, and it is very important that students have a deep conceptual understanding of this topic.

Students’ knowledge of geometry, probability, and statistics is also developed in 7th grade. While these topics are not considered the major work of the grade, they are integrated throughout the course to help students better access the major work. In their exposure to geometry, students use proportional reasoning to scale figures, and use this reasoning with equations, expressions, and inequalities to solve for features of, and describe relationships between, geometric figures. Applying their knowledge of probability, students hone their skills in fractions and percentages, as well as develop the ideas of shape, center, and spread that continue through high school.

Throughout this course students develop their understanding of math and hone their skills through conceptual understanding of the topics, application of their learning to a variety of contexts, and acquired fluency using varied practice of skills and concepts.  To help them reach a complete understanding of the math concepts and skills of 7th grade, students are exposed to and taught strategies for successfully completing tasks and problems with varied levels of rigor.

Please Note: This course is being revised. Revised units will be posted throughout the 2017-2018 school year. To date, Units 1-4 have been revised. See 7th Grade Math Revisions Overview for more information on the types of changes and the timeline for releasing new units.

### Mathematics at Match

The goals of Match Education’s math program are intrinsically tied to our school’s mission of providing our students with the skills and knowledge they will need to succeed in college and beyond. At Match, we seek to inspire our scholars to pursue advanced math courses, and we provide them with the foundations they will need to be successful in these courses.

Our math curriculum is designed around several core beliefs about how to best achieve our ambitious goals. These beliefs drive the decisions we make about what to teach and how to teach it.

1. Content-rich Tasks: We believe that students learn best when asked to solve problems that spark their curiosity, require them to make novel connections between concepts, and may offer more than one avenue to the solution.
2. Practice and Feedback: We believe that practice and feedback are essential to developing students’ conceptual understanding and fluency.
3. Productive Struggle: We believe that students develop essential strategies for tackling complex problems, and build non-cognitive skills such as grit and resilience, through productive struggle.
4. Procedural Fluency Combined with Conceptual Understanding: We believe that knowing “how” to solve a problem is not enough; students must also know “why” mathematical procedures and concepts exist.
5. Communicating Mathematical Understanding: We believe that the process of communicating their mathematical thinking helps students solidify their learning and helps teachers assess student understanding.

For more information, view our full Mathematics Program Overview.