Academic standards

- CCSS.Math.Content.8.EE.B.5
- Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships...
- CCSS.Math.Content.8.EE.B.6
- Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive...
- CCSS.Math.Content.8.EE.C.7
- Solve linear equations in one variable.
- CCSS.Math.Content.8.F.A.1
- Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting...
- CCSS.Math.Content.8.F.A.2
- Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal...
- CCSS.Math.Content.8.F.A.3
- Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. For...
- CCSS.Math.Content.8.F.B.4
- Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a...
- CCSS.Math.Content.8.F.B.5
- Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or...
- CCSS.Math.Content.8.SP.A.3
- Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept. For...
- GLE 0806.3.4
- Translate among verbal, tabular, graphical and algebraic representations of linear functions.
- GLE 0806.3.5
- Use slope to analyze situations and solve problems.
- SPI 0806.1.2
- Interpret a qualitative graph representing a contextual situation.
- SPI 0806.3.4
- Translate between various representations of a linear function.
- SPI 0806.3.5
- Determine the slope of a line from an equation, two given points, a table or a graph.
- SPI 0806.3.7
- Identify, compare and contrast functions as linear or nonlinear.
- TSS.Math.8.F.A.2
- Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).
- TSS.Math.8.F.A.3
- Know and interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear.
- TSS.Math.8.F.B.4
- Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description...
- TSS.Math.8.F.B.5
- Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear...

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Essential and guiding questions:

- Explain how the dimensions of the flower pot can be used to find the y‐intercept of a linear model used to find the height of the stack of pots when the number of pots is known?
- How can you use the linear model you created in part (b) to find out how many pots are in a stack that is 37 inches tall?
- What other types of objects stack in ways similar to the flower pots?
- If the model for a new stack of similar pots is y = 2 x + 9, what can you predict about the features of the flower pot?