# Ch 1: HiSET Mathematics: Mathematical Reasoning

### About This Chapter

## HiSET Mathematics: Mathematical Reasoning - Chapter Summary

This chapter is designed to show you all you need to know about mathematical reasoning so that you can answer questions correctly on the HiSET. Check out our short video lessons that describe reasoning concepts and methods you'll see on the exam, including:

- Inductive and deductive reasoning
- Connective reasoning
- Problem-solving with mathematical principles
- The guess, check and revise method
- Estimation
- Mathematical models

Professional instructors teach the videos in entertaining ways that will make your test-prep sessions enjoyable. Use all of our tools, including multiple-choice quizzes, to test your knowledge and practice answering exam-type questions.

### Objectives of the HiSET Mathematics: Mathematical Reasoning Chapter

The HiSET Math exam is divided into four sections and the concepts in this chapter on Mathematical Reasoning are part of the Numbers and Operations on Numbers section of the exam. This section makes up 19% of the entire math test.

All of the questions are multiple-choice and ask you to select one correct answer, and you are allowed to use a calculator.

### 1. 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.

### 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. Mathematical Principles for Problem Solving

Solving problems is not just a simple, straightforward process. There are a few principles that can help you as you approach any problem solving scenarios. This lesson covers those principles with examples.

### 4. Solving Problems With the Guess, Check & Revise Method

In this lesson, we will look at how to solve problems using the guess, check, and revise method in mathematics. Through examples, we will look at each step involved and see exactly how this process works.

### 5. Solving Mathematical Problems Using Estimation

Estimating is a method of calculating a result that is close to, but not exactly, the correct answer to a math problem. Why would you ever need to do this? This lesson reviews estimating and answers the question as to why you would do it.

### 6. Using Mathematical Models to Solve Problems

Mathematical modeling simply refers to the creation of mathematical formulas to represent a real world problem in mathematical terms. This lesson reviews the creation and pitfalls of mathematical models.

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### Other Chapters

Other chapters within the HiSET Mathematics: Prep and Practice course

- HiSET Mathematics: Properties of Real Numbers
- HiSET Mathematics: Fractions
- HiSET Mathematics: Decimals and Percents
- HiSET Mathematics: Ratios and Proportions
- HiSET Mathematics: Vector Operations
- HiSET Mathematics: Matrices and Determinants
- HiSET Mathematics: Exponents and Exponential Expressions
- HiSET Mathematics: Absolute Value Problems
- HiSET Mathematics: Rational Expressions
- HiSET Mathematics: Radical Expressions
- HiSET Mathematics: Imaginary and Complex Numbers
- HiSET Mathematics: Measurements and Conversions
- HiSET Mathematics: Foundations of Geometry
- HiSET Mathematics: Introduction to Geometric Figures
- HiSET Mathematics: Properties of Triangles
- HiSET Mathematics: Triangle Theorems and Proofs
- HiSET Mathematics: Parallel Lines and Polygons
- HiSET Mathematics: Quadrilaterals
- HiSET Mathematics: Circular Arcs and Circles
- HiSET Mathematics: Geometric Solids
- HiSET Mathematics: Summarizing Data
- HiSET Mathematics: Probability
- HiSET Mathematics: Probability Distributions
- HiSET Mathematics: Sampling
- HiSET Mathematics: Regression and Correlation
- HiSET Mathematics: Algebraic Expressions
- HiSET Mathematics: Linear Equations
- HiSET Mathematics: Inequalities
- HiSET Mathematics: Quadratic Equations
- HiSET Mathematics: Polynomials
- HiSET Mathematics: Functions
- HiSET Mathematics Flashcards