Ch 45: TACHS: Mathematical Reasoning

About This Chapter

In this chapter, you will prepare for the TACHS assessment by reviewing mathematical conjectures and mathematical reasoning while further developing your logic and critical thinking skills.

TACHS: Mathematical Reasoning - Chapter Summary

With its series of short, engaging lesson videos, this chapter will help you improve your mathematical reasoning skills in time for the Test for Admission into Catholic High Schools (TACHS). Our expert instructors will review with you examples of conjecture and different types of reasoning in mathematics. From these lessons, you should gain a better understanding of:

  • Conjecture in mathematics
  • Connective, inductive and deductive reasoning
  • Critical thinking and logic
  • Converse, inverse, contrapositive and counterexample: logical equivalence

The videos use graphics and narration to explain these topics. Transcripts and quizzes are included in the chapter. If you have any questions about mathematical reasoning, visit the dashboard and use the 'ask-an-expert' feature to contact a math professional.

TACHS: Mathematical Reasoning Chapter Objectives

Catholic high schools in the Archdiocese of New York and the Diocese of Brooklyn/Queens use the TACHS to measure the academic skills of 8th graders who are applying for admission to their institutions. This entrance exam is composed of four sub-tests: Reading, Language, Mathematics and Ability. The objective of the first section of the math sub-test is to assess candidates' understanding of mathematical relationships and processes, while the second section of the math test measures candidates' ability to perform operations and utilize problem-solving strategies to work out math problems. This chapter will help you prepare for the mathematics subtest by improving your understanding of mathematical reasoning.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

Earning College Credit

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Transferring credit to the school of your choice

Not sure what college you want to attend yet? has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.