


Explain the use of scale factors in engineering drawings and models.
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- If the mass of an object is 20 kg and its volume is 5 m³, what is its density? How are ratios and proportions used in chemistry (e.g., stoichiometry)?
- Explain how proportions are used in programming robot trajectories and tasks. Explore the applications of ratios and proportions in artificial intelligence and machine learning.
- Historical Context of Ratios Different Types of Ratios
- Graphically, what does an inverse proportion look like? Distinguish between direct and inverse proportion.
- Provide examples of real-world relationships that are approximately proportional. Discuss the concept of proportionality constant and its significance.
- Explain how proportions might be used in models of perception and cognition. Investigate the use of ratios and proportions in education and assessment.
- Discuss the role of ratios in designing structures and machines. How are ratios and proportions used in quality control and manufacturing?
- How can ratios be used to find unit rates? Compare the unit rates of 20 miles in 4 hours and 30 miles in 5 hours.
- Research the use of ratios in ancient Egyptian mathematics.
- Explain how proportions are used in conducting surveys and analyzing social data. Research the use of ratios and proportions in political science and public policy analysis.
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