Academic standards

- CCSS.Math.Content.7.EE.B.3
- Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and...
- CCSS.Math.Content.7.NS.A.1
- Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a...
- CCSS.Math.Content.7.NS.A.2
- Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.
- CCSS.Math.Content.7.NS.A.3
- Solve real-world and mathematical problems involving the four operations with rational numbers.1
- CCSS.Math.Content.7.RP.A.1
- Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different...
- CCSS.Math.Content.7.RP.A.2
- Recognize and represent proportional relationships between quantities.
- CCSS.Math.Content.7.RP.A.3
- Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and...
- GLE 0706.1.2
- Apply and adapt a variety of appropriate strategies to problem solving, including estimation, and reasonableness of the solution.
- GLE 0706.1.8
- Use technologies/manipulatives appropriately to develop understanding of mathematical algorithms, to facilitate problem solving, and to create accurate and...
- GLE 0706.2.1
- Extend understandings of addition, subtraction, multiplication and division to integers.
- GLE 0706.2.2
- Understand and work with the properties of and operations on the system of rational numbers.
- GLE 0706.2.3
- Develop an understanding of and apply proportionality.
- GLE 0706.3.5
- Understand and graph proportional relationships.
- GLE 0706.3.6
- Conceptualize the meanings of slope using various interpretations, representations, and contexts.
- GLE 0706.4.2
- Apply proportionality to converting among different units of measurements to solve problems involving rates such as motion at a constant speed.
- GLE 0706.4.4
- Understand and use ratios, derived quantities, and indirect measurements.
- SPI 0706.1.3
- Recognize whether information given in a table, graph, or formula suggests a directly proportional, linear, inversely proportional, or other nonlinear relationship.
- SPI 0706.2.3
- Use rational numbers and roots of perfect squares/cubes to solve contextual problems.
- SPI 0706.2.5
- Solve contextual problems that involve operations with integers.
- SPI 0706.2.6
- Express the ratio between two quantities as a percent, and a percent as a ratio or fraction.
- SPI 0706.3.4
- Interpret the slope of a line as a unit rate given the graph of a proportional relationship.
- SPI 0706.3.5
- Represent proportional relationships with equations, tables and graphs.
- TSS.Math.7.EE.B.3
- Solve multi-step real-world and mathematical problems posed with positive and negative rational numbers presented in any form (whole numbers, fractions, and...
- TSS.Math.7.NS.A.2
- Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.
- TSS.Math.7.NS.A.3
- Solve real-world and mathematical problems involving the four operations with rational numbers. (Computations with rational numbers extend the rules for...
- TSS.Math.7.RP.A.1
- Compute unit rates associated with ratios of fractions, including ratios of lengths, areas, and other quantities measured in like or different units. For...
- TSS.Math.7.RP.A.2
- Recognize and represent proportional relationships between quantities.

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Essential and guiding questions:

- What role does the constant of proportionality play in helping to relate two quantities?
- When selecting a representative value for a data set what are some ideas to keep in mind?
- What key ideas should be remembered when creating a proportion?
- How can a proportion be rewritten as an equation of the form y = mx (and vice versa)?