Scope and Sequence
Instructional Goals
- Students will be able to identify proportional relationships and solve problems involving proportional reasoning.
- Students will be able to distinguish between direct and inverse proportional relationships.
- Students will be able to use proportional reasoning to solve real-world problems.
Content and Skills
- Ratios and Proportions
- Direct and Inverse Proportions
- Scale Drawings and Maps
- Percentages and Proportions
- Unit Rates
Sequence of Activities
Week 1: Introduction to Ratios and Proportions
- Introduction to Ratios and Proportions
- Identifying Proportional Relationships
- Solving problems involving ratios and proportions
- Assessment: Proportional Relationships Quiz
Week 2: Direct and Inverse Proportional Relationships
- Identifying Direct and Inverse Proportions
- Solving problems involving direct and inverse proportions
- Scale Drawings and Maps
- Assessment: Direct and Inverse Proportions Quiz
Week 3: Proportions with Percentages and Rates
- Percentages and Proportions
- Converting between fractions, percentages, and decimals
- Unit Rates
- Real-world Application of Proportional Reasoning
- Assessment: Final Proportional Relationships Quiz
Ideas for Differentiation to Support Struggling Students
- Use manipulatives such as blocks or tiles to assist students with visualizing proportional relationships.
- Provide additional examples and practice problems for struggling students to reinforce their understanding of the concept.
- Use multi-sensory activities such as using real-life objects to solve proportion problems.
- Provide extra time for students to work through problems and provide one-on-one support when necessary.
Overall, this unit plan is designed to help 7th grade math students develop a deep understanding of proportional relationships, including how to recognize them, solve problems that involve them, and use proportional reasoning to answer real-world questions. By providing a variety of assessments, activities, and differentiation strategies, teachers can help their students build a strong foundation in this essential mathematical topic.