In this unit students develop an understanding of proportional reasoning. Students use ratios and proportions to create scale drawings and models that support the idea that mathematics is a tool used to solve problems in everyday life. To further the development of a deep understanding of important algebraic and geometric concepts, students use strategies to solve problems involving ratios, proportions, and percents.
In previous grades, students learned that a ratio shows a relationship between quantities. As a foundation for proportional reasoning students learned that a ratio is a multiplicative comparison of two quantities. In this unit, students extend their understanding of proportional reasoning by investigating relationships between ratios.
Students apply a variety of strategies for solving problems involving proportional reasoning. These strategies are essential in the development of proportional reasoning. Solving proportions by finding cross products is a rule that can be followed with little to no understanding of proportional reasoning. For this reason, the cross product method is introduced later in the unit.
Unit 4 is typically a five-week unit taught in January.
Unit 4 Standards for Math 7 (Math B)(PDF)
Explanation of what your child should understand by the end of each unit (enduring understandings), how he/she will get to that understanding (essential questions), and how he/she will be evaluated (indicators).
Unit 4 Content map for Math 7 (Math B) (PDF)
Unit 1 | Unit 2 | Unit 3 | Unit 4 | Unit 5 | Unit 6 |