Plan of a course	Create a plan of a course
Which subject	Mathematics
What age group	Year or Grade 7
What topic	Proportional relationships
Number of lessons	16
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This course is designed for students studying mathematics at Year or Grade 7, with a strong focus on proportional relationships. This is an essential topic for students to understand, as it provides a foundation for more advanced concepts in mathematics. The goal of the course is to provide students with a strong understanding of proportional relationships, including how to identify them, solve problems involving them, and use them to make accurate predictions.

Course Goals:

• Understand the concept of proportional relationships
• Learn how to identify proportional relationships in real-world situations
• Solve problems using proportional reasoning and calculations
• Use proportional relationships to make accurate predictions

Course Aims:

Over the course of 16 lessons, students will:

• Understand the concept of ratios and how they relate to proportional relationships
• Identify proportional relationships in tables, graphs, and real-world situations
• Use a variety of methods to solve problems involving proportional relationships, including cross-multiplication and unit rates
• Apply proportional reasoning to solve problems related to scaling
• Use proportional relationships to make predictions about real-world scenarios

Lesson Plan:

Module 1: Introduction to Proportional Relationships (2 lessons)

• Lesson 1: The Concept of Ratios
• Lesson 2: Introduction to Proportional Relationships

Module 2: Identifying Proportional Relationships (2 lessons)

• Lesson 3: Identifying Proportional Relationships in Tables
• Lesson 4: Identifying Proportional Relationships in Graphs

Module 3: Solving Problems using Proportional Reasoning (4 lessons)

• Lesson 5: Setting up Proportions
• Lesson 6: Cross-Multiplication
• Lesson 7: Using Unit Rates
• Lesson 8: Applications of Proportional Reasoning

Module 4: Scaling and Ratios (3 lessons)

• Lesson 9: Scaling Problems
• Lesson 10: Ratios and Rates
• Lesson 11: Proportional Relationships and Scale Drawings

Module 5: Predictions using Proportional Relationships (3 lessons)

• Lesson 12: Direct Variation
• Lesson 13: Inverse Variation
• Lesson 14: Joint Variation

Module 6: Review and Assessment (2 lessons)

• Lesson 15: Review of Proportional Relationships
• Lesson 16: Final Assessment

By the end of the course, students will have a solid foundation in proportional relationships, and will be able to apply this knowledge to solve complex real-world problems.