SHORT CYCLE TASK : 25% Sale In a sale, the store reduces all prices by 25% each week. Does this mean that, after 4 weeks, everything in the store will cost $0? If not, why not? Source: Balanced Assessment Materials from Mathematics Assessment Project STANDARDS ADDRESSED IN THIS TASK: MCC7.RP.1 Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks mile in each hour, compute the unit rate as the complex fraction miles per hour, equivalently 2 miles per hour. Recognize and represent proportional relationships between quantities. MCC7.RP.2 MCC7.RP.2a Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin. MCC7.RP.2a Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin. MCC7.RP.2b Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. MCC7.RP.2c Represent proportional relationships by equations. For example, if total cost is proportional to the number of items purchased at a constant price the t n p, relationship between the total cost and the number of items can be expressed as t = pn. MCC7.RP.2d Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, where r) is the unit rate. r MCC7.RP.3 Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error. STANDARDS FOR MATHEMATICAL PRACTICE This task uses all of the practices:
SHORT CYCLE TASK : 25% Sale In a sale, the store reduces all prices by 25% each week. Does this mean that, after 4 weeks, everything in the store will cost $0? If not, why not? Source: Balanced Assessment Materials from Mathematics Assessment Project STANDARDS ADDRESSED IN THIS TASK: MCC7.RP.1 Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks mile in each hour, compute the unit rate as the complex fraction miles per hour, equivalently 2 miles per hour. MCC7.RP.2 Recognize and represent proportional relationships between quantities. MCC7.RP.2a Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin. MCC7.RP.2a Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin. MCC7.RP.2b Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. MCC7.RP.2c Represent proportional relationships by equations. For example, if total cost t is proportional to the number n of items purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t = pn. MCC7.RP.2d Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate. MCC7.RP.3 Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error. STANDARDS FOR MATHEMATICAL PRACTICE This task uses all of the practices: