Algebra 1A Module One introduces the New Mexico wedding party theme that provides the place-based element for this course. Module One asks students to build an event menu within specific budget constraints. Competencies for this module are data summarization and data visualization. By the end of the module students should be able to 1) Describe significant features of a given data set and classify these features by type; and 2) Represent data visually and report it in complementary ways.

Module One requires students complete eight short assignments and three assessments. Assignment tasks include such things as selection and categorization of food items from a list; Categorization of food items as either discrete or non-discrete; Calculation of cost per item and serving; and Comparison of various menu scenarios against budget constraints. All three assessments are multiple choice with programmed feedback. Two are formative. The module concludes with a summative assessment.

Approximate time on task to complete this and every module in this course is 5 hours, or about 30 minutes per task including assessments. This renders all tasks, including assessments, suitable for use in a classroom environment as either stand-alone reinforcement activities or homework.

Module 1 module addresses the following PED Standards for Mathematics: HSN.RN.A.1; HSN.RN.A.2; HSN.RN.B.3; HSF.BF.B.4.A; HSS.ID.A.2; HSS.ID.C.8; HSS.ID.C.9.

Mathematics Standards Referenced for ALG1A

HSN.RN.A.1: Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents.

HSN.RN.A.2: Rewrite expressions involving radicals and rational exponents using the properties of exponents.

HSN.RN.B.3: Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational.

HSF.BF.B.3: Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.

HSF.BF.B.4.A: Solve an equation of the form f(x) = c for a simple function f that has an inverse and write an expression for the inverse. For example, f(x) =2 x3 or f(x) = (x+1)/(x-1) for x ≠ 1.

HSS.ID.A.2: Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets.

HSS.ID.C.8: Compute (using technology) and interpret the correlation coefficient of a linear fit.

HSS.ID.C.9: Distinguish between correlation and causation.