Unit 3 - Ratios and Proportions
In this unit, students learn to express different representations of rational numbers (e.g., fractions, decimals, and percent's), discover how to identify and explain the constant of proportionality, and represent proportional relationships and scale drawings within real-world context.
Standards:
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 1/2 mile each 1/4 hour, compute the unit rate as the complex fraction (1/2)/(1/4) miles per hour equals 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, 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.
MCC7.RP.2d - Explain what point (x,y) on the graph of proportional relationships 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.
MCC7.G.1 - Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.
In this unit, students learn to express different representations of rational numbers (e.g., fractions, decimals, and percent's), discover how to identify and explain the constant of proportionality, and represent proportional relationships and scale drawings within real-world context.
Standards:
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 1/2 mile each 1/4 hour, compute the unit rate as the complex fraction (1/2)/(1/4) miles per hour equals 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, 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.
MCC7.RP.2d - Explain what point (x,y) on the graph of proportional relationships 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.
MCC7.G.1 - Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.
