Mathematics Common Core State Standards Curriculum Map



Mathematics Common Core State Standards Curriculum Map

George County School District…2014-2015

| |Unit 2.5: Ratios and Proportions | |

|Grade Level: 7th grade |Essential questions: |Suggested Days: 5 |

| |• How can you identify the constant (unit rate) within a table, graph, equation, diagram, and/or | |

| |verbal description of a proportional relationship? | |

| |• How can you determine whether two ratios are equivalent? | |

| |• How do you know if two quantities have a proportional relationship? | |

| |• How can you identify the constant of proportionality through tables, graphs, | |

| |equations, diagrams, and verbal descriptions of proportional relationships? | |

| |• Why does a proportional relationship result in a graph of a line? | |

| |• From a graph of a problem situation, what do the ordered pairs (0, 0) and (1, y) represent? | |

|Vocabulary: | |

|constant of proportionally (unit rate), proportion, cross-products, |Mathematical Practices: Highlighted practices to be assessed. |

|coefficient, ordered pair, equivalent ratios, coordinate plane, origin |1. Make sense of problems and persevere in solving them. |

| |2. Reason abstractly and quantitatively. |

| |3. Construct viable arguments and critique the reasoning of others. |

| |4. Model with mathematics. |

| |5. Use appropriate tools strategically. |

| |6. Attend to precision. |

| |7. Look for and make use of structure. |

| |8. Look for and express regularity in repeated reasoning. |

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| Content Standard |Resources |Assessments |

|7.RP.2 Recognize and represent proportional relationships between | |Pre-test |

|quantities. |Holt McDougal 7th Grade Common Core Mathematics Textbook |Formative assessments: |

|a. Decide whether two quantities are in a proportional relationship, e.g.,|Web based activities, videos, and power points |Observations, anecdotal notes, admit/exit slips, math |

|by testing for equivalent ratios in a table or graphing on a coordinate |Labs with manipulatives |journals, peer/self assessments, think-pair-share, |

|plane and observing whether the graph is a straight line through the | |quizzes |

|origin. | (awesome) |Post test (summative) |

|b. Identify the constant of proportionality (unit rate) in tables, graphs,| (video) |I Can Statements: |

|equations, diagrams, and verbal descriptions of proportional | |• Represent proportional relationships between |

|relationships. | |quantities. |

|c. Represent proportional relationships by equations. For example, if | |• Write equations that represent proportional |

|total cost t is proportional to the number n of items purchased at a | |relationships (in the form of y = mx). |

|constant price p, the relationship between the total cost and the number | |• Represent proportional relationships by |

|of items can be expressed as t = pn. | |equations. |

|d. Explain what a point (x, y) on the graph of a proportional relationship|(More websites are on the next page.) |• Explain what a point (x, y) on the coordinateplane|

|means in terms of the situation, with special attention to the points (0, | |means with respect to a specific scenario. |

|0) and (1, r) where r is the unit rate. | |• Determine whether two quantities are in a |

| | |proportional relationship (using tables or |

| | |graphs to determine a constant rate of change). |

| | |• Identify the constant of proportionality (unit |

| | |rate) in tables, graphs, equations, diagrams, |

| | |and verbal descriptions of proportional |

| | |relationships. |

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|NOTE: Websites: (great resource) |

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