During the lesson observe students’ performance on the creation of tables and graphs and defining the vertex, domain, range, orientation, and rate of change, to assess their understanding of the details of each task.Observe students’ reasoning through the hypotheses and examples they give to assess their level of understanding.There are some mathematical relationships that are always true and these relationships are used as the rules of arithmetic and algebra and are useful for writing equivalent forms of expressions and solving equations and inequalities.Relations and functions are mathematical relationships that can be represented and analyzed using words, tables, graphs, and equations. Numbers, measures, expressions, equations, and inequalities can represent mathematical situations and structures in many equivalent forms.Mathematical functions are relationships that assign each member of one set (domain) to a unique member of another set (range), and the relationship is recognizable across representations.Functions can be transformed, combined, and composed to create new functions in mathematical and real world situations. Families of functions exhibit properties and behaviors that can be recognized across representations.Bivariate data can be modeled with mathematical functions that approximate the data well and help us make predictions based on the data.
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