Imaginary numbers are a real thing. Scholars learn about complex numbers, real numbers, and imaginary numbers. They classify given numbers as strictly complex, strictly real, or strictly imaginary in an individual or group activity.

Conquer any irrational fears you might have of irrational numbers. As class members investigate how to represent numbers geometrically, they learn about rational and irrational numbers, including approximating and ordering rational...

Don't be irrational! Use this pre-test to assess your classes' ability to work with all types of real numbers. The lesson asks learners to estimate value, evaluate roots, and order numbers. This begins a series of lessons on the real...

These numbers have some personality! Are they rational or irrational? The lesson examines the definitions of rational and irrational numbers and shows examples of how to identify them. 

In this rational and irrational numbers activity, students answer multiple choice questions about rational and irrational numbers. Students complete 20 questions.

Algebra learners must know how to use rational numbers to approximate irrationals. This resource asks participants to decide which number is larger without using a calculator. It makes a great exercise to use as a five-minute transition...

Real and unreal, rational and irrational, your learners will become experts at labeling numbers with this activity. A full sheet of different numbers requires your mathematicians to label each number with any category that fits that...

Provide pupils with problems to check their understanding of the concepts within the unit. The seven-part series of lessons covers concepts related to irrational numbers. Learners convert between fractions and decimals, estimate the...

Eight different numbers are listed for mathematics masters to analyze. They simply tell if each number is rational or irrational. They can also explain their reasoning. A simple and straightforward instructional activity that is a handy...

Delve into the concept of operating on the set of real numbers! In this operating with the set of real numbers lesson plan, pupils perform order of operations on the set of real numbers using a calculator.

Here is a rational and irrational numbers worksheet in which learners identify 10 different expressions related to various types of numbers. They determine whether each expression given is a rational or irrational number.

Extend the concept of exponents to irrational numbers. In the fifth installment of a 35-part module, individuals use calculators and rational exponents to estimate the values of 2^(sqrt(2)) and 2^(pi). The final goal is to show that the...

Mathematicians need to know that not all numbers are rational. We approximate irrational number with rational numbers. That is why a calculator may be misleading. This task give learners an opportunity to see how rounding a number and...

Sometimes the indirect path is best. Scholars determine whether the sum of a rational number and an irrational number is irrational. Reading a transcript of a conversation between classmates leads to an indirect proof of this concept.

A rational number is a ratio of two integers. Discuss with your class how to convert the rational numbers of repeating decimals to fractions. A good commentary on letting x equal the repeating decimal and multiplying each side of...

There are four irrational numbers that participants need to graph. Pi(π), -(½ x π), and √17 are easy to approximate with common rational numbers. On the other hand, the commentary describing the irrational number 2√2 is not...

Students read about real numbers and subsets of the real number set. They define and see examples of rational numbers, irrational numbers, and integers.

In this square roots and real numbers worksheet, 9th graders solve and complete 12 different problems that include types of numbers. First, they find each square root, rounding to the nearest hundredth. Then, students evaluate each...

In this algebra worksheet, students identify and use the properties of real numbers to solve problems. They identify and differentiate between rational and irrational functions. There are 13 problems.

A game is a great way to learn. Study what makes an integers, their traits, and characteristics. This lesson includes 3 separate activities intended to promote an understanding of integers, whole numbers, and opposites. The class is...

Explore the patterns of fractions that produce finite and infinite decimals. The sixth instructional activity of the series asks learners to determine a similar feature of fractions that produce finite decimals. Using the patterns,...

Estimating the value of numbers is much harder than it sounds! Scholars compare and order the value of numbers presented in different forms including fractions, decimals, roots, integers, and pi. This builds on the previous lessons in...

Learners complete addition and multiplication tables that include rational and irrational numbers. They also answer a series of questions about the sums and products of irrational and rational numbers. One suggested modification would be...

For this Algebra II worksheet, students classify numbers by naming the subset or subsets of the real numbers to which it belongs. The two page worksheet provides explanation and examples in addition to ten practice problems. Solutions...