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.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.1
- Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe...
- 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 0806.5.2
- Select, create, and use appropriate graphical representations of data (including scatterplots with lines of best fit) to make and test conjectures.
- SPI 0806.1.3
- Calculates rates involving cost per unit to determine the best buy.
- SPI 0806.3.4
- Translate between various representations of a linear function.
- SPI 0806.3.7
- Identify, compare and contrast functions as linear or nonlinear.
- SPI 0806.5.3
- Generalize the relationship between two sets of data using scatterplots and lines of best fit.
- TSS.Math.8.EE.B.5
- Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in...
- TSS.Math.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; know and derive...
- TSS.Math.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 of an...
- 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.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 example, in a...

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Essential and guiding questions:

- Is there anything unique about this table? Do we have to keep the table as it is or could we change the way it looks and still do this problem?
- Are we sure our graph should be a line? How do we know? What is the significance of the point where the line crossed the y axis? The x‐ axis? (Show both possible graphs) How can these graphs be correct, yet one has positive slope and one has negative?
- Was the speed you found positive or negative? What is the significance of this? When you are riding in your car can your speed be negative?
- Is this the only possible equation for the line? Is there a simpler one? What is the significance of the y‐3 in the equation? The ‐52? The x – 208? Did it matter which graph we refer to as to if the equation is correct?