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137 resources with the concept irrational numbers

6:50
Lesson Planet

Identifying Sets of Real Numbers

For Students 8th - 11th
Some numbers just want to be whole. Viewers of a short YouTube video learn how to classify real numbers as rational/irrational numbers, integers, whole numbers, and natural numbers. They see how graphic organizers can help visualize...
13:41
Lesson Planet

Transcendental Numbers

For Students 9th - Higher Ed
Here is a resource that transcends expectations. Scholars watch a video in the Numberphile "Pi" playlist to learn about transcendental numbers. The video uses a game to explain how to classify numbers as either algebraic or transcendental.
4:43
Lesson Planet

A Brief History of Banned Numbers

For Students 6th - 12th
What numbers should not be shared? Numbers thoughout history have been banned for one reason or another. The resource provides details of illegal numbers and compares them to the written and spoken word. Discussion brings the idea of...
Lesson Planet

Sum of Rational and Irrational Numbers

For Students 9th - 12th Standards
Extend your understanding of rational and irrational numbers to sums. At first, individuals must be able to explain the difference between rational and irrational numbers. They then show that the sum of a rational and an irrational...
Lesson Planet

Lessons for Learning—Grade 8

For Teachers 8th Standards
How can you better explain the standards? A collection of resources gives teachers the resources needed to teach topics within the eighth grade curriculum. Lessons provide engaging activities to use within the classroom. 
Lesson Planet

Product of Non-Zero Rational and Irrational Numbers

For Students 9th - 12th Standards
Rational or irrational, that is the question. The two-question assessment gauges the class' understanding of irrational numbers. Pupils describe the difference and provide examples of rational and irrational numbers. The scholars explain...
Lesson Planet

Sum of Rational and Irrational is Irrational

For Teachers 8th - 9th Standards
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.
Lesson Planet

Square Roots and Irrational Numbers: Estimating Radicals

For Students 8th - 10th
Try out a resource using triangles to estimate radicals. An interactive app allows learners to approximate some irrational numbers involving square roots. They find the two consecutive numbers that an irrational number lies between by...
Lesson Planet

Simplification of Radical Expressions: Irrational Garden Plot

For Students 8th - 10th
All is not simple in the garden of rationals and irrationals. Learners use a context of a garden to practice simplifying irrational numbers involving radicals. They also find areas of garden with irrational side lengths.
1 In 1 Collection
EngageNY

Mid-Module Assessment Task: Grade 8 Module 7

For Students 8th Standards
Assess pupil understanding of rational and irrational numbers with a mid-module assessment that is the 15th lesson in the 25-part series. The questions represent the objectives in the first half of the series. Topics include decimal...
1 In 1 Collection
EngageNY

Decimal Expansion of Pi

For Students 8th Standards
Develop a better understanding of the value of pi. Learners explore the area of a circle using estimation and graph paper. While continuing to estimate the area of the circle using smaller and smaller grids, the number pi emerges. 
1 In 1 Collection
EngageNY

Converting Repeating Decimals to Fractions

For Students 8th Standards
Develop a process with your classes for converting repeating decimals to fractions. Through this process, pupils understand that any repeating decimal can be written as a fraction. The 10th lesson in this 25-part module helps reinforce...
1 In 1 Collection
EngageNY

Infinite Decimals

For Students 8th Standards
Can you support the argument that the decimal 0.99999 ... is equivalent to the number one? The seventh installment in this 25-part module gives convincing support for this conclusion. Pupils write infinite decimals using powers of 10....
1 In 1 Collection
EngageNY

Comparing Irrational Numbers

For Students 8th Standards
Build on your classes' understanding of irrational numbers by comparing their values. The 13th instructional activity in the 25-part module has individuals estimate values of both perfect and non-perfect roots. They finish by graphing...
1 In 1 Collection
EngageNY

Decimal Expansions of Fractions, Part 2

For Students 8th Standards
Develop your pupils' understanding of fractions and their decimal equivalence using the 12th lesson in this series. Scholars learn an alternative to long division that results in converting fractions to decimals that emphasize fractional...
1 In 1 Collection
EngageNY

The Decimal Expansion of Some Irrational Numbers

For Students 8th Standards
Develop a definition of irrational numbers through an exploration of square roots. The 11th lesson in this series of 25 asks scholars to estimate the value of a square root. Learners observe as the estimation extends further and further...
1 In 1 Collection
EngageNY

Decimal Expansions of Fractions, Part 1

For Students 8th Standards
Is it possible to add infinitely long decimals? As pupils complete the examples in the ninth lesson of this 25-part series, they determine that adding these decimals cannot be done without error. Their task is then to determine the size...
1 In 1 Collection
EngageNY

The Long Division Algorithm

For Students 8th Standards
Two methods are always better than one! The eighth installment in this series asks pupils to convert decimals to fractions using two approaches. Individuals first use the more traditional approach of long division and then use reverse...
1 In 1 Collection
EngageNY

Finite and Infinite Decimals

For Students 8th Standards
Explore the patterns of fractions that produce finite and infinite decimals. The sixth lesson of the series asks learners to determine a similar feature of fractions that produce finite decimals. Using the patterns, pupils create...
Lesson Planet

Worksheet for Pi

For Students 6th - 8th
Who needs a pie-eating contest when you have a pi-ology game! Celebrate March 14th with a fun board game about pi and other geometric concepts. As learners answer questions about geometry, they move around the board to collect tokens.  
Lesson Planet

Rugs

For Teachers 8th Standards
The class braids irrational numbers, Pythagoras, and perimeter together. The mini-assessment requires scholars to use irrational numbers and the Pythagorean Theorem to find perimeters of rugs. The rugs are rectangular, triangular,...
1 In 1 Collection
EngageNY

Irrational Exponents—What are 2^√2 and 2^π?

For Teachers 9th - 12th Standards
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...
1 In 1 Collection
EngageNY

Rational and Irrational Numbers

For Teachers 10th - 12th Standards
Back to the basics: learning how to add numbers. The 17th installment of a 35-part module first reviews addition techniques for rational numbers, such as graphical methods (number line) and numerical methods (standard algorithm). It goes...
Lesson Planet

Module 4: Rational Functions

For Students 9th - 12th Standards
Time to study the most sensible function — rational functions! The seven-lesson unit develops the concept of a rational function through a connection to rational numbers and fractions. Scholars graph functions, solve equations, and...