In Algebra 2, a class for Juniors and mathematically proficient sophomores, the concepts of relations, functions and rate of change is introduced. The attached learning progression follows chapter 2 sections 1 though 4 of the text, as well as aligning to multiple Common Core high school standards and involving various mathematical practices. The specific standards are as follows:
- 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.A.2
Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context. - 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.*
Beginning with an introduction to relations, this series of lessons will introduce students to the topic of functions, rate of change and by the end of the progression students will be able to write equations for lines using both slope-intercept form and standard form. This progression uses a variety of instructional methods, including some periods of direct instruction as well as discover-based learning scenarios. Please see the click the link below to access the full learning progression for understanding and interpreting functions.