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Unit Details

​​​​​​​​​​​​​​​​​​​​​​​​Instructions: Rockwood unit details share the timeline, the enduring understanding and the essential questions for each unit.  Click on the standard title to be directed to the information on related standards for the unit.​

 Unit Details

Unit Title
Ratios and Proportional Relationships
Unit Number
5
Course
Math 7
Content Area
Math
Description
Students will find and interpret the constant of proportionality in tables, graphs, and equations; use proportional relationships to solve ratio problems and use scale drawings to compute actual lengths and areas.
Timeline
4 Week(s)
Enduring Understandings
Proportional relationships can be used to solve various real-world problems.
A quantity can be represented numerically in various ways. Problem solving depends upon choosing wise ways.
The measurement on a drawing or model are proportional to the measurements on the actual objects.



Essential Questions
How do rates help you describe real-life problems?
How can you write a proportion that solves a problem in real life?
How can you use ratio tables and cross products to solve proportions?
How can you compare two rates graphically?
How can you use a graph to show the relationship between two quantities that vary directly?  How can you use an equation?
How can you enlarge or reduce a drawing proportionally?






Additional Unit Resources

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Standard
Standard Component
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Standard
Standard Component
ECO
  
Solve problems involving scale drawings of real objects and geometric figures, including computing actual lengths and areas from a scale drawing and reproducing the drawing at a different scale.
  
Compute unit rates, including those that involve complex fractions, with like or different units.
ECO
  
Recognize and represent proportional relationships between quantities.
a. Determine when two quantities are in proportional relationship.
b. Identify and /or compute the constant of proportionality (unit rate).
c. Explain what a point (x,y) on the graph of a proportional relationship means in terms of the situation.
d. Realize that the graph of any proportional relationship will pass through the origin.
ECO
  
Solve problems involving ratios, percentages, and proportional relationships.