Academic standards

- CCSS.Math.Content.7.EE.A.2
- Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are...
- CCSS.Math.Content.7.EE.B.4
- Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by...
- 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 0706.2.3
- Develop an understanding of and apply proportionality.
- GLE 0706.3.1
- Recognize and generate equivalent forms for simple algebraic expressions.
- 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 0706.3.7
- Use mathematical models involving linear equations to analyze real-world phenomena.
- GLE 0706.3.8
- Use a variety of strategies to efficiently solve linear equations and inequalities.
- 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 0706.2.6
- Express the ratio between two quantities as a percent, and a percent as a ratio or fraction.
- SPI 0706.3.1
- Evaluate algebraic expressions involving rational values for coefficients and/or variables.
- SPI 0706.3.3
- Given a table of inputs x and outputs f(x), identify the function rule and continue the pattern.
- 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.
- SPI 0706.3.6
- Solve linear equations with rational coefficients symbolically or graphically.
- SPI 0706.3.7
- Translate between verbal and symbolic representations of real-world phenomena involving linear equations.
- SPI 0706.3.8
- Solve contextual problems involving two-step linear equations.
- SPI 0706.3.9
- Solve linear inequalities in one variable with rational coefficients symbolically or graphically.
- TSS.Math.7.EE.A.2
- Understand that rewriting an expression in different forms in a contextual problem can provide multiple ways of interpreting the problem and how the...
- TSS.Math.7.EE.B.4
- Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by...
- 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.

Alignment of this item to academic standards is based on recommendations from content creators, resource curators, and visitors to this website. *It is the responsibility of each educator* to verify that the materials are appropriate for your content area, aligned to current academic standards, and will be beneficial to your specific students.

Essential and guiding questions:

Part A:

- How do you decide whether two quantities form a proportional relationship?
- How do you identify the constant of proportionality in a table of values?

PART B:

- Why did you make x = Number of Students Selling Books and y = Number of Coupon Books Sold in the equation or graph?
- How would switching the labels for the x and y axes change the graph?

PART C:

- Why did some of you create an equation where you multiplied by 3?
- Why did we get the same answer when some of you multiplied by 3 and others divided by 3?