# Irrational Numbers Teacher Resources

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**1**-**20**of**267**resourcesThis video defines rational numbers. Through the definition and examples, learners should comprehend that irrational numbers are numbers that cannot become simple fractions. The video uses examples of very common irrational numbers, such as pi, to back up their definition. Appropriate for in-class or at-home use.

In this algebra activity, students solve rational numbers using addition, subtraction and multiplication. They identify the rules of solving rational and irrational numbers. There are 50 questions on 6 pages.

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 then multiplying it is not the same as multiplying a number and rounding it.

You'll need scissors, glue sticks, and mini whiteboards for this activity on rational and irrational numbers. Learners work in groups to classify a variety of expressions as rational or irrational. They are also given a mock discussion about an expression and must explain why they agree or disagree with each part of the conversation. The detailed lesson plan includes worksheets, PowerPoint, helpful suggestions, and an in-depth answer key. Learners must be familiar with the definitions of rational and irrational numbers before beginning.

This detailed lesson plan is a great way to explore the difference between rational and irrational numbers. Learners work in pairs to write the decimal expansions of fractions and irrational numbers and describe the distinguishing characteristics they see. Includes detailed notes for facilitators, worksheet, and an answer key.

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 clear. It might be easier to list the squares of rational numbers that the class would know: 1.12 = 1.21, 1.22 = 1.44, 1.32 = 1.69, 1.52= 2.25. A close rational approximation for √2 is 1.4, therefore 2√2 ≈ 2.8.

Sal works through several problems involving rational and irrational numbers, and shows how to find the difference. This video is a good stepping stone for those who are preparing to take on more challenging algebra work.

Fourth graders use the story of the discovery of irrational numbers to explore the different classes of numbers, the different ways in which numbers may be represented, and how to classify different numbers into their particular class.

Young mathematicians examine and discuss the concepts of integers, rational numbers, irrational numbers, and real numbers. They list examples of each term and order numerical examples.

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 to make the tables larger to give pupils more room to write or have them write answers on their own paper.

Learners identify rational and irrational numbers and their use in mathematical functions. Through demonstration, students discover the difference between rational and irrational numbers and their use. Using estimation skills learners decide upon the best estimate for imperfect squares.

In this analysis for rational and irrational numbers worksheet, students solve 14 fill in the blank problems. Students are given a number and must identify which number set(s) the given number belongs to.

Eighth graders engage in a study of rational and irrational numbers and apply number sense to a variety of different problems. They examine numbers like non-repeating decimals, irrational roots, pi, and real numbers. The teacher shows the differences in the number systems.

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

In this online interactive math skills learning exercise, students solve 10 multiple choice math problems regarding rational and irrational numbers. Students may submit their answers to be scored.

Rational numbers may seem like a tough subject to young mathematicians; this worksheet allows them to practice with multiple types of rationals and irrationals to become more familiar with this category. The examples allow learners to convert unit fractions, rational numbers, and irrational numbers into their decimal counterparts to compare their values. The last test is to find different rational and irrational numbers that are between the values of three and four and place them correctly on the number line.

In this irrational numbers learning exercise, 9th graders solve 10 different problems that include determining the approximations of various irrational numbers. First, they solve each irrational number in the first set to the nearest tenth. Then, students solve each irrational number in the second set to the nearest hundredth.

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.

Get planning and create a square patio based on the current backyard dimensions. Whoops! Some of the tiles broke, so your perfect square is a little bit shorter. Can your learners estimate the new length of each side based on how many tiles were used in the patio? The activity allows your learners to look at perfect square roots to help estimate an irrational number by using a number line. The final step of the patio plan is to calculate the new area and the total cost of the project.