Ch 20: Mathematical Reasoning

About This Chapter

Review the aspects of mathematical reasoning to prepare for the high school exit CAHSEE exam. Interesting video lessons with quizzes include general mathematical reasoning tools that you might put to use in many instances throughout the math test.

Mathematical Reasoning - Chapter Summary

By mastering this chapter, you could have a handy 'toolbox' of reasoning skills ready to use throughout the math section of the CAHSEE. The included lessons address the methods that can help guide your progress through this portion of the exam. The lessons in this chapter present the following:

  • General math patterns
  • Deductive and inductive reasoning
  • Justifying math conjectures
  • Estimation

This chapter's video lessons offer guidelines that you may turn to in many different types of math problems. Practice problems and quizzes can give you authentic rehearsal in these skills to make sure that you're ready to put them into play on test day.

CAHSEE Math Objectives

The California High School Exit Examination is designed to make sure that you have the necessary skills when you graduate from high school. The two math sections of the test contain about 46 multiple-choice questions each. This chapter's lessons could offer support in many areas of the test, especially in the mathematical reasoning strand, which constitutes about 10% of the math exam. Study.com's math reasoning lessons cover the main topics that will appear on the CAHSEE. Some of those objectives include:

  • Finding and generalizing math patterns
  • Sorting and organizing important information in math
  • Comparing and using deductive and inductive reasoning in geometry
  • Making and justifying conjectures in math
  • Applying strategies used to similar problems
  • Using estimation to show whether an answer is reasonable
  • Estimating unknowns graphically and using logical reasoning to solve for them

The math section of the CAHSEE contains multiple-choice questions that will check the strength of your mathematical reasoning. Our multiple-choice quizzes can not only give you valuable test-taking practice, but you might even see the same sorts of questions that will appear on the exam.

5 Lessons in Chapter 20: Mathematical Reasoning
Test your knowledge with a 30-question chapter practice test
Recognizing & Generalizing Patterns in Math

1. Recognizing & Generalizing Patterns in Math

Being able to recognize patterns is one of the most important aspects of studying math, and one that has definite advantages in other fields of study. In this lesson, we'll look at how to recognize the most common patterns in math: sequences.

Identifying & Organizing Relevant Information in Math

2. Identifying & Organizing Relevant Information in Math

When you are faced with a word problem, you need to be able to sift through the words to find what is mathematically relevant. Watch this video lesson to find out how.

Inductive & Deductive Reasoning in Geometry: Definition & Uses

3. Inductive & Deductive Reasoning in Geometry: Definition & Uses

Watch this video lesson, and you will learn how important inductive and deductive reasoning is in the field of mathematics, especially when dealing with proofs in geometry. Learn how these two fundamental forms of reasoning give rise to formal theorems.

Generalizing Mathematical Results & Strategies

4. Generalizing Mathematical Results & Strategies

Math is all about building on what you know. Once you have figured out one math concept, you can then use it to help you solve even more complicated problems. You can also use that math concept to figure out other math concepts.

Verifying Calculated Results with Estimation

5. Verifying Calculated Results with Estimation

As enjoyable as math can be, it is sometimes hard to know if you calculated everything correctly. Wouldn't it be nice if there were an easy way to check your answers? In this lesson, you'll learn how to use estimation to double check your work.

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

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