CPM Scope and Sequence

In this course the next Units will be covered (Textbook lesson(s)):

• Unit 1. Meta-cognition and Proportion. (Lessons: 16, 17 & 18)

• Unit 2. Formulas and Problem Solving.  (Lessons: 19, 20, 21, &22)

• Unit 3. Proportional Reasoning. (Lessons: 23 & 24)

• Unit 4. Linear Relationships. (Lesson: 25)

• Unit 5. Non-Linear Functions. (Lesson: 26)

• Unit 6. More Non-Linear Functions. (Lesson: 26)

• Unit 7. Finance and Borrowing Money. (Lessons: 27 & 28)

• Unit 8. Building Foundations for Students Success. (Lessons: 1, 2, & 3)

• Unit 9. Ratios and Number Representations. (Lessons: 4 & 5)

• Unit 10. Charts and Spreadsheets. (Lesson: 6) 

• Unit 11. Displaying Data and Statistical Summaries. (Lessons: 7, 8, & 9)

• Unit 12. Credit and Tax. ( Lessons: 10 & 11)

• Unit 13. Probability. (Lessons: 12 & 13)

• Unit 14. Risk and Analyzing Data. (Lessons: 14 & 15)

After completing this course, you should be able to:

1. Use rates and linear functions to solve problems involving personal finance and budgeting, including compensations and deductions

2. Solve problems involving personal taxes

3. Analyze data to make decisions about banking, including options for online banking, checking accounts, overdraft protections, procession fees, and debit card/ATM fees

4. Analyze personal credit options in retail purchasing and compare relative advantages and disadvantage of each option

5. Analyze and compare coverage options and rates in insurance

6. Investigate and compare investment options including stocks, bonds, annuities, certificates of deposit, and retirement plans

7. Analyze types of savings options involving simple and compound interest and compare relative advantages of these options

8. Determine the number of ways an event may occur using combinations, permutations, and the Fundamental Counting Principle

9. Compare theoretical to empirical probability

10. Use experiments to determine the reasonableness of a theoretical model such as binomial or geometric

11. Interpret information from various graphs, including line graphs, bar graphs, circle graphs, histograms, scatterplots, dot plots, stem-and-leaf plots, and box and whisker plots, to draw conclusions from the data and determine the strengths and weaknesses of conclusions

12. Analyze numerical data using measures of central tendency (mean, median, and mode) and variability (range, interquartile range or IQR, and standard deviation) in order to make inferences with normal distributions

13. Distinguish the purposes and differences among types of research, including surveys, experiments, and observational studies

14. Use data from a sample to estimate population mean or population proportion

15. Analyze marketing claims based on graphs and statistics from electronic and print media and justify the validity of stated or implied conclusions

16. Use regression method available through technology to model linear and exponential functions, interpret correlations, and make predictions

17. Communicate methods used, analyses conducted, and conclusions drawn from data analysis.

18. Apply mathematics to problems arising in everyday life, society, and the workplace

19. Use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution

20. Select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems

21. Communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate

22. Create and use representations to organize, record, and communicate mathematical ideas

23. Analyze mathematical relationships to connect and communicate mathematical ideas

24. Display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.

Note: Click here to see a sample of the Syllabus of this (remediation) course at the University of Texas:

https://www.depts.ttu.edu/k12/support/pdf/MTHMOD1B-Syllabus.pdf