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Subject Area - CC.2:
Mathematics
  • Standard Area - CC.2.1: Numbers and Operations
  • Grade Level - CC.2.1.7: GRADE 7
Standard - CC.2.1.7.D.1

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

Eligible Content:
6 Total
PASA DLM
Essential Elements (EE)
Assessments
Materials & Resources
  • Anchor Descriptor - M07.A-R.1.1 Analyze, recognize, and represent proportional relationships and use them to solve real-world and mathematical problems.
    • Eligible Content - M07.A-R.1.1.1 Compute unit rates associated with ratios of fractions, including ratios of lengths, areas, and other quantities measured in like or different units. 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.
      • Alternate Eligible Content - M07.A-R.1.1.1a Find the unit rate ina real-world problem.
        Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.
    • Eligible Content - M07.A-R.1.1.2 Determine whether two quantities are proportionally related (e.g., by testing for equivalent ratios in a table, graphing on a coordinate plane and observing whether the graph is a straight line through the origin).
    • Eligible Content - M07.A-R.1.1.3 Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.
      • Alternate Eligible Content - M07.A-R.1.1.3a Represent a proportional relationshipon a line graph.
        Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.
    • Eligible Content - M07.A-R.1.1.4 Represent proportional relationships by equations. 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.
    • Eligible Content - M07.A-R.1.1.5 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.
      • Alternate Eligible Content - M07.A-R.1.1.5a Interpret an ordered pair in a real-world problem.
        Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.
    • Eligible Content - M07.A-R.1.1.6 Use proportional relationships to solve multi-step ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease.
      • Alternate Eligible Content - M07.A-R.1.1.6a Use percentages to solve a real-world problem.
        Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.
Standard - CC.2.1.7.E.1

Apply and extend previous understandings of operations with fractions to operations with rational numbers.

Eligible Content:
3 Total
PASA DLM
Essential Elements (EE)
Assessments
Materials & Resources
  • Anchor Descriptor - M07.A-N.1.1 Solve real-world and mathematical problems involving the four operations with rational numbers.
    • Eligible Content - M07.A-N.1.1.1 Apply properties of operations to add and subtract rational numbers, including real-world contexts.
      • Alternate Eligible Content - M07.A-N.1.1.1a Solve a 1-step addition orsubtraction problem with fractions, decimals, or positive/negative integers.
        Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.
    • Eligible Content - M07.A-N.1.1.2 Represent addition and subtraction on a horizontal or vertical number line.
      Assessments
      Continuum of Activities
      • Alternate Eligible Content - M07.A-N.1.1.2a Identify the difference between two numbers on the number line.
        Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.
    • Eligible Content - M07.A-N.1.1.3 Apply properties of operations to multiply and divide rational numbers, including real-world contexts; demonstrate that the decimal form of a rational number terminates or eventually repeats.
      • Alternate Eligible Content - M07.A-N.1.1.3a Solve a multiplication ordivision problem with positive/negative rational numbers.
        Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.
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