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G.7 - Ratios and Proportional Relationships

This text resource illustrates the Standards Map for the Grade 7 Ratios and Proportional Relationships domain in the Common Core State Standards.

Standards

  1. Common Core Mathematics: G.7

    In Grade 7, instructional time should focus on four critical areas: (1) developing understanding of and applying proportional relationships; (2) developing understanding of operations with rational numbers and working with expressions and linear equations; (3) solving problems involving scale drawings and informal geometric constructions, and working with two- and three-dimensional shapes to solve problems involving area, surface area, and volume; and (4) drawing inferences about populations based on samples.

  2. Common Core Mathematics: G.7 > RP

    Ratios and Proportional Relationships (RP)

  3. Common Core Mathematics: G.7 > RP > C.1

    Analyze proportional relationships and use them to solve real-world and mathematical problems.

  4. Common Core Mathematics: G.7 > RP > C.1 > S.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 in each 1/4 hour, compute the unit rate as the complex fraction 1/2/1/4 miles per hour, equivalently 2 miles per hour.

    Content Skills Learning Targets Big Ideas Essential Questions
    Unit Rates
    Ratios e.g.
    2 - Compute (Unit rates)
    2 - I can compute unit rates with ratios of fractions.
    A. One can use ratios to compute unit rates.
    A.1 What is a unit rate?
    A.2 How does one compute the unit rate?
  5. Common Core Mathematics: G.7 > RP > C.1 > S.2

    Recognize and represent proportional relationships between quantities.

    1. 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.
    2. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.
    3. 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.
    4. 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.
    Content Skills Learning Targets Big Ideas Essential Questions
    Relationships
    a. Equivalent ratios e.g.
    b. Constant of proportionality e.g.
    2 - Recognize (Proportional relationships)
    5 - Decide (Two quantities are in a proportional relationship[a])
    4 - Testing (Equivalent ratios in a table[a])
    3 - Graphing (Using coordinate plane[a])
    4 - Observe (Graph is a straight line through the origin[a])
    2 - Identify (Constant of proportionality[b])
    3 - Represent (Proportional Relationships[c])
    4 - Explain (Ordered pair[d])
    2 - I can recognize proportional relationships between quantities.
    5 - I can decide whether two quantities are in a proportional relationship.[a]
    4 - I can test for equivalent ratios in a table.[a]
    3 - I can graph relationships on a coordinate plane.[a]
    4 - I can observe proportional relationships on a coordinate plane.[a]
    2 - I can Identify the constant of proportionality.[b]
    3 - I can represent a proportional relationship by an equation.[c]
    4 - I can explain the meaning of each ordered pair on the graph of a proportional relationship.[d]
    A. One can recognize and represent proportional relationships between quantities.
    B. One can determine if two quantities are proportional or not.
    C. The constant of proportionality can be determined in a proportional relationship.
    D. Proportional relationships can be represented by equations.
    E. A point on the graph of a proportional relationship can be explained in terms of the situation.
    A.1 What is a proportional relationship?
    B.1 How does one test two quantities for equivalent ratios?
    B.2 How can one determine from a graph if the relationship is proportional?
    C.1 What is the constant of proportionality?
    C.2 How can the constant of proportionality be represented?
    D.1 How do you use the constant of proportionality to write an equation representing the proportional relationship?
    E.1 What does a point on the graph of the proportional relationship represent?
    E.2 How do you determine the unit rate by observing the graph of the proportional relationship?
  6. Common Core Mathematics: G.7 > RP > C.1 > S.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.

    Content Skills Learning Targets Big Ideas Essential Questions
    Proportional relationships e.g.
    3 - Use (Proportional relationships)
    3 - Solve (Multi-step ratio)
    3 - Solve (Percent problems)
    3 - I can use proportional relationships.
    3 - I can solve multi-step ratio problems.
    3 - I can solve percent problems.
    A. One can solve multi-step ratio and percent problems by using proportional relationships.
    A.1 How do you use a proportional relationship to solve a multi-step ratio problem?
    A.2 How do you use a proportional relationship to solve percent problems?

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