College Prep Math A

College Prep Math (CPM) A is the first semester course of College Prep Math. CPM A begins with a review of several topics in Elementary Math. This review serves as a foundation as we progress to our study of Intermediate Algebra and Functions, Geometry and Measurement, and Data Analysis and Probability. It is our hope that this course will help prepare you to be more competent mathematically both in and out of school- whatever comes next for you, whether that is an entrance exam, a college math course, your career, or a credit towards graduation. Please read the full CPM A Syllabus.

Upon completing this course, you will be able to:

• Round numbers to a given place value
• Convert between decimal numbers, fractions, and percentages
• Solve word problems using a variety of techniques
• Perform basic operations with real numbers
• Evaluate expressions using the order of operations
• Relate properties of real numbers to algebraic expressions (zero, ones, commutative, associative, inverse, distributive, and identity properties)
• Simplify algebraic expressions using addition, subtraction, multiplication, and division
• Write equations in one or two variables to solve or model application problems including mixture and motion problems.
• Solve inequalities and report solutions as graphs, sets, or intervals.
• Use exponential equations to solve problems and represent situations.
• Evaluate formulas for area and perimeter (or circumference) for triangles, rectangles, squares, parallelograms, circles, composite figures, pyramids, prisms, spheres, and cylinders.
• Use ratios, scaling, and dimensional analysis.
• Set up and solve algebraic proportions.
• Apply the Pythagorean Theorem and its converse to solve real-life problems
• Apply Pythagorean triples and special right triangle relationships to solve problems
• Convert measurements within the metric and customary systems.
• Convert between scientific and standard notation and use scientific notation in problem solving.
• Recognize and describe the differences between quantitative and qualitative data
• Describe relationship and trend of paired data observed from scatter plots in the context of the situation
• Describe the effect of outliers on summary statistics
• Construct and interpret graphical displays of data (e.g., line plots, bar graphs, histograms, box plots, scatter plots) to generally describe the center spread and shape of the distribution of data.
• Calculate, describe, and use the appropriate measure of center (e.g., mean, median, mode) and spread (e.g., range).
• Analyze and describe similarities and differences by comparing graphical distributions (e.g., parallel box plots, back-to-back stem-leaf plots) within and between data sets.
• Identify and explain misleading uses of data.

Required Course Materials

• CPM notebook
• Graphing calculator
• Pencil or pen

Each semester contains 4 units with 3 lessons each; 12 practice quizzes; 12 graded assignments; 2 six-weeks exams (diploma program only); 1 final exam

Each Unit contains:

• 3 lessons. Each lesson includes some or all of the following components: Engage, Explore, Explain, Elaborate, and Evaluate.
• 3 practice quizzes to help you check your own understanding of the material covered in each lesson. You must complete these assessments in order to advance in the course.
• 3 graded assignments

Unit 1: Elementary Math
Unit 2: Intermediate Algebra and Functions
Unit 3: Geometry, Measurement, and Proportional Reasoning
Unit 4: Data Analysis and Probability
 

The final examination is comprehensive; it covers the material from all 4 units.

Format: Multiple-choice, online 
Time Allowed: 3 hours
Materials Allowed: Pencil or pen; Graphing calculator (required); UTHS printed materials

Students must test online with Proctorio and are required to add the Proctorio extension to either their Microsoft Edge or Google Chrome browser—installation instructions are provided in the student's course. Proctorio uses a student's computer, web camera, and microphone to record video of both the student and their desktop during the exam. Then, UTHS instructors review the student's exam video data collected by Proctorio. Only authorized UTHS staff and instructors can view the exam recordings. Student data is not shared with any persons or organizations outside of UTHS and are deleted after one year. We encourage you to visit Proctorio's Data Security and Privacy site pages to learn more about how we protect student date.