The golden ratio
http://illuminations.nctm.org/LessonDetail.aspx?ID=L510
A lesson plan for grade 7 Mathematics
Students learn about ratios, including the “Golden Ratio,” a ratio of length to width that can be found in art, architecture, and nature. Students examine different ratios to determine whether the Golden Ratio can be found in the human body. After a discussion of previous experiences with ratios, students measure body heights and write their measurements as ratios. Then, students determine if their measurements meet the criteria of the Golden Ratio.
Students will:
- Understand the concept of ratio.
- Explore ratios dealing with the human body by taking measurements and calculating the ratios.
- Explore the Golden Ratio.
NCTM Standards and Measurements:
- Understand both metric and customary systems of measurement.
- Solve problems involving scale factors, using ratio and proportion.
North Carolina Curriculum Alignment
Mathematics (2004)
Grade 7
- Goal 1: Number and Operations - The learner will understand and compute with rational numbers.
- Objective 1.01: Develop and use ratios, proportions, and percents to solve problems.
