Arithmetic and Square Roots - Week 1

Familiarize young mathematicians with the radical concept of square roots using this set of skills practice problems. Building on prior knowledge about combining like terms in algebraic expressions, this worksheet helps students learn...

Pupils learn to solve square root equations and rationalize denominators. Problems include those with extraneous solutions. 

The square root of five and five do not have the same value! How many times have you addressed this with math classes? A lesson gives an explanation of a square root and gives examples for simplifying square root expressions,...

Many learners find completing the square the preferred approach to solving quadratic equations. Class members combine their skills of using square roots to solve quadratics and completing the square. The resource incorporates a variety...

There are many ways to approach finding the rational approximation of an unknown square root. Here is a problem that will help math learners make a connection between square roots and their order on a number line. As usual, determine two...

The relationship between radical expressions and exponents is never clearer than in this video, which addresses radical expressions with higher roots. Sal takes time to explain not only the process of solving these problems, but the...

Introducing square roots into the quadratic equation mix, Sal takes care to address the ways viewers might go about solving the problems, both correctly and incorrectly. The video is an integral step in not only Sal's algebra series, but...

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.

Think outside the box and use an engaging, interactive app that shows the relationship between square roots and squares using an actual square. Pupils find that moving a slider increases the side length of a square and its associated area.

Get two answers from a single equation. Pupils use the interactive to take the square root of nine and see the graphical representation of the two solutions. Individuals realize that solutions to quadratic equations that are solved by...