Ratios and Rates
Ratios compare two quantities; rates compare two different kinds of quantity (km per hour, cost per kilogram). Proportional reasoning — if 3 kg costs $7.50, then 5 kg costs… — is one of the most powerful tools in everyday mathematics and a major predictor of success in algebra.
What students explore
Ratios compare two quantities; rates compare two different kinds of quantity (km per hour, cost per kilogram). Proportional reasoning — if 3 kg costs $7.50, then 5 kg costs… — is one of the most powerful tools in everyday mathematics and a major predictor of success in algebra.
Key ideas
Represent and apply ratios and rates. Use unit rates to compare quantities. Solve proportions using equivalent ratios. Apply proportional reasoning to scale diagrams, maps, and recipes.
Putting it together
Apply these ideas through hands-on activities, guided practice, and real-world problems.