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...

No calculators! Assure your learners that they can find the square root of a large number. All they need are two known squares close by and a table. Come up with an additional practice and your number crunchers will have it mastered in...

View a tree designed by Pythagoras. Pupils watch a video as a tree is built by using squares representing the side lengths of a right triangle, with each side of the squares becoming the side of another triangle. Learners come up with...

Is 4 plus the square root of 2 rational or irrational? After your class has gained a basic grasp of rational and irrational numbers, use this activity to push them a little further in their understanding. Learners must identify sums and...

Learners rewrite a general quadratic function by completing the square to see a new form of the function that more easily identifies the x-coordinate of the vertex and the two roots of the function.

In a writing prompt, learners are asked to check the calculation of a decimal exponent without a calculator. Use as an opener or assessment after studying fractional exponents. Requires a strong understanding of exponents and roots to...

Bringing together the young artists and the young organizers in your class, this lesson takes that popular topic of tessellations and gives it algebraic roots. After covering a few basic properties and definitions, learners attack the...

Play a game of capture the points. Young scholars receive a number line with specific points graphed and must write an inequality that captures all the points. The second task of the algebra project is to write an inequality with...

Participants who use this resource will apply the Pythagorean Theorem to show whether or not the shaded triangle inscribed in a rectangle is a right triangle. Once all of the sides on the shaded triangle are found, it is important that...

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...

This task gives geometry learners practice in solving radical equations in one variable and zeros in extraneous solutions.

It's never too early to begin a child's math education. This collection of fun hands-on activities engage youngsters in building their number sense as they learn how to count objects, identify numerals, compare amounts, and much more.

How can baseball and skeet-shooting be modeled mathematically? Sports lovers and young mathematicians learn how to use quadratic equations and systems of equations to model the flight paths of various objects.

It might help when working with this resource to give an example of a composition function. For example, the amount of time it takes to get to work depends on the amount of traffic; the amount traffic depends on the time of day....

This University of Saskatchewan site provides general information about square roots and other forms of radical equations.

Twenty problems present a variety of problems working with various aspects of solving quadratic equations by finding the square roots. They are given with each step to the solution cleverly revealed one at a time. You can work each step...

Find a quick, concise explanation of square roots. An example is given and clearly explained.

In this activity, students develop an understanding of the relationship between a number and its square root.

Thirteen problems present a variety of practice solving quadratic equations by finding square roots. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the...

By estimating the value of a square root students will get practice in identifying perfect squares, in checking for reasonableness of an answer, and in mental math.

This site from Math Pages proivdes information and gives the Babylonian method for solving square root equations. The site is very intense and in-depth with good information. The material is pretty intense, however, and a background...

Information on powers, roots, exponents, and radicals.

The learning activity examines squares and square roots. Topics include perfect squares, how to square a number, and the square root symbol. The resource consists of explanations and examples.

This tutorial and practice shows how to simplify radicals even with a negative number. Features include a teacher page that has a Bingo game to teach the concept.