Through a variety of physical and theoretical situations, learners are led through the development of some of the deepest concepts in high school mathematics. Complex numbers, the fundamental theorem of algebra and rational exponents...

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.

It's only rational to learn about number classifications. Individuals watch a short video that gives the definition of rational and irrational numbers. They watch as the narrator classifies different numbers as rational or irrational,...

Unravel the mystery behind the infamous number pi. Scholars complete a series of activities that explores where pi comes from, its digits and estimation strategies. Pupils should be ready to measure, calculate, and look for patterns to...

Communication is the key. A dozen sample items require scholars to communicate their reasoning involved in arriving at a solution. The PowerPoint from the Gr. 8 Claim 2 - 4 Item Slide Shows series uses a variety of content to illicit...

Take an irrational approach to numbers with a Smarter Balanced assessment that covers the introduction of irrational numbers. The nine items cover identifying irrational numbers, approximating them with rational numbers, and converting...

Communication is the key. A presentation provides 25 sample items for Claim 3, Communicating Reasoning, for the Smarter Balanced High School Math assessment. Items require pupils to answer the question and provide logical reasoning to...

There are only two options to consider: rational or irrational. Pupils review rational and irrational numbers by answering a set of eight questions provided in a PowerPoint presentation. Part of larger Claim 1 Item Slide Show series, the...

Find patterns in the process instead of the result. Learners convert series of decimals and fractions identifying patterns along the way. The lesson includes nine problem tasks with progressively more involved patterns.

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...

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.

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...

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.

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...

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.

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.  

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,...

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...

Build an understanding of rational numbers and their counterpart irrational numbers. Lead learners through an explanation of rational numbers and the ways they can be expressed. Then introduce them to irrational numbers and make...