Determine whether two quantities are in a proportional relationship. (7.RP.2a)
Use proportional relationships to solve multi-step ratio and percent problems. (7.RP.3)
Concepts and Skills
* Power Standard Content
Convert rates to equivalent unit rates (including those presented as fractions)
* Recognize proportional relationships
Find the unit rate of a proportional relationship presented in a table, graph, equation, or description
Write equations to represent proportional relationships
Interpret a point on the graph of a proportional relationship
* Solve multi-step ratio and percent problems
Set up and solve proportions that arise in applications
Critical Language
Language Usage
A student in 7th grade can demonstrate the ability to apply and comprehend critical language by developing and explaining ways to use quantitative comparison information to make larger and smaller scale models and reasoning in proportional situations.
Content-Specific Vocabulary
Unit rate
Fraction
Ratio
Proportional relationship
Proportion
Equations
Percent
Scale
Process-Specific Vocabulary
Relationships
Recognize
Analyze
Interpret
Set up
Solve
Equivalent
Concept-Based Connections
Essential Understandings
Proportional reasoning facilitates comparisons and problem solving.
Proportional relationships can be scaled up or down as determined by the situation.
Factual Guiding Questions
How do you compute ratios, percentages, and fractions?
How do you convert between a ratio, percent, and/or fraction?
How do you find a unit rate?
How do you write and solve proportions?
How can you scale a ratio up or down?
Conceptual Guiding Questions
How can you use a ratio, percent, and/or fraction to make comparisons?
How can you scale a ratio up or down to make an equivalent ratio?
How do we use unit rates to make a decision?
Why do we use proportions?
How do you write and solve proportions?
How do you use a proportion to solve a problem?
How do you know when two quantities are in a proportional relationship?
Engaging/Debatable Guiding Questions
How are unit rates useful when solving problems?
How can we use proportions for solving problems?
Where can ratios be used in daily life to find unknown quantities?
What purpose do ratios, percent and fractions serve?