Learning Goal: Assess conceptual and procedural fluency for slope.
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- Common Core
- HSF.IF.A.1 – Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x).
HSF.IF.B.5 – Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.
- HSF.IF.B.6 – Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.
- TEKS (2015-16)
- A.2(A) – determine the domain and range of a linear function in mathematical problems; determine reasonable domain and range values for real-world situations, both continuous and discrete; and represent domain and range using inequalities
- A.3(A) – determine the slope of a line given a table of values, a graph, two points on the line, and an equation written in various forms, including y = mx + b, Ax + By = C, and y – y1 = m(x – x1)
- A.3(B) – calculate the rate of change of a linear function represented tabularly, graphically, or algebraically in context of mathematical and real-world problems