TACHS: Mathematical Reasoning - Videos & Lessons

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.

5 Lessons in Chapter 45: TACHS: Mathematical Reasoning

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$Conjecture in Math: Definition & Example$

1. Conjecture in Math: Definition & Example

This lesson will define the term conjecture, provide examples, and discuss conditions for writing them. We'll also highlight the use of conjectures by professionals and other people in their daily routines.

2. Reasoning in Mathematics: Connective Reasoning

Connective reasoning is reasoning that has an operation, or a way to connect two phrases. The five main logic connectives will be reviewed in this lesson.

3. Reasoning in Mathematics: Inductive and Deductive Reasoning

Many people think that deductive and inductive reasoning are the same thing. It is assumed these words are synonymous. They are not. This lesson reveals the reality of these two types of reasoning.

4. Critical Thinking and Logic in Mathematics

Logic has its own unique language and way of defining what is true and false. Watch this video lesson to learn how you can critically think in the language of logic while working with math.

5. Logic Laws: Converse, Inverse, Contrapositive & Counterexample

Logical statements can be useful, but only if we are able to determine their validity. In this lesson, we'll look at the various forms of a logical statement and see how they relate to each other.

Chapter Practice Exam

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Practice Final Exam

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Description

Summary:

Visit the Test for Admission into Catholic High Schools (TACHS): Practice & Study Guide page to learn more.

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