Mathematics I—Semester A - Course Introduction

We know what you're thinking. Integrated Math I is a pretty dry sounding name for a course. Not to mention it implies that there's probably an Integrated Math II and maybe even a third course. We hate to break it to you, but there is.

We're here to assure you this journey into the realm of high school math should be a painless, hopefully eye-opening experience. This course is all about getting your feet wet with a variety of high school math topics one toe at a time. You wouldn't dive into the deep end of a pool without first spending time in the shallow end, strapped with floaties, would you? We didn't think so.

But enough talk. It's time to size up what's in store for us. Here's a spattering of what's to come:

• Getting to know units up close and personal. We're talking meters, liters, inches, and the Wu-Tang Clan. Well maybe not them—we're talking about a different kind of unit.
• Solving one and two variable equations of all shapes and sizes. We'll focus on those of the linear and exponential variety.
• Graphing functions of many different varieties. After all, it is the spice of life.
• Analyzing rates of change and comparing different functions. Sometimes even the most ornery of functions can find common ground.
• Use statistics to study data. We'll use all sorts of charts to bring our data to life and tell us an intriguing story.
• Get a nice introduction to geometry. We'll even use our new found algebra skills to help us solve some of these shapely problems.

With all this in mind it's time to buckle down, suit up, and realize Integrated Math I is happening with or without us. This will course will probably go a lot better if we give it our full, undivided attention, though.

Course Objectives

By the end of this course, you should be able to

• understand how units work in equations and graphs
• be able to convert between measurements made with different units.
• interpret parts of linear and exponential expressions.
• solve equations and inequalities in one or two variables.
• create linear and exponential equations and inequalites.
• identify the domain and range of a function.
• model real-world situations with equations and inequalities
• use tables and sequences to graph functions.
• understand the relationship between arithmetic sequences and linear functions, and geometric sequences and exponential functions.
• identify the effects of adding constants into functions.
• calculate average rates of change to compare functions and graphs
• solve systems of linear equations and inequalities.
• solve systems of exponential equations and inequalities graphically and with technology.
• organize and interpret data using frequency tables, box plots, histograms, and scatterplots.
• fit functions to data on a scatterplot
• distinguish between correlation and causation.
• understand the undefined notions in geometry.
• solve geometry problems in the coordinate plane.
• use algebra to solve a variety of geometric problems.
• perform rigid motions in the coordinate plane.
• identify congruence in triangles and other shapes.

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