In this radical worksheet, students select the best answer from four choices to ten problems involving radicals. Problems ask students to find the perfect square in a number and factor it out, they add radicals and evaluate square roots....

Radically apply old skills to a new concept. Pupils learn how to add and subtract radicals by applying previously learned skills of simplifying radicals and combining like terms. The video shows examples with both square and cube roots....

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...

Are you rooting for your high schoolers to learn about rational exponents? In the third installment of a 35-part module, pupils first learn the meaning of 2^(1/n) by estimating values on the graph of y = 2^x and by using algebraic...

Complex solutions are not always simple to find. In the fourth lesson of the unit, the class extends their understanding of complex numbers in order to solve and check the solutions to a rational equation presented in the first lesson....

Students discover the purpose of plant roots and how they move water through a vascular system. They conduct an experiment using colored water to observe the movement of water through the roots and stem of a plant in a controlled...

In this polynomial learning exercise, students complete the square of a given problem. Explanations and examples are provided. This two-page learning exercise contains ten problems.

In this factoring worksheet, learners factor perfect squares. Explanations and examples are provided at the beginning of the worksheet. This two-page worksheet contains ten problems.

In this simplifying radicals worksheet, students factor out the whole number root of each radicand in 20 short answer problems. Four of the answers involve the absolute value of a variable.

In this operations with radicals learning exercise, 9th graders solve 10 different equations that include various radicals. First, they perform the indicated operations in each problem. Then, students simplify their answers, some having...

In this algebra worksheet, students add and subtract 28 radical expressions. Eight problems have the same radicand, twenty involve students factoring out a square prior to the addition and subtraction.

In this simplifying radicals worksheet, students simplify radicals containing integers. All radicals in this worksheet contain perfect squares. This one-page worksheet contains ten problems.

In this ways to solve quadratic equations activity, learners solve 19 equations using five different methods, then solve four more using the method of their choice.

Students compute minimum velocity, using square roots.

This resource has everything you need to know about solving quadratic equations. Factoring, completing the square, the quadratic formula, and using the discriminant are all there with with worked out examples and a 25 problem...

In a radical expressions worksheet, learners use the Product and Quotient Properties of Square Roots to simplify a variety of square roots. The worksheet begins with simple radicals, progresses to radicals involving fractions and...

You can't evaluate an irrational root expression without a calculator—or can you? Scholars estimate the value of roots within an expression to approximate the value of the expression. Expressions include a mix of square roots and whole...

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 worksheet to push them a little further in their understanding. Learners must identify sums and...

Young scholars determine the distance between two points.  In this distance formula lesson, groups of students determine the distance between points in real life situations.  They calculate the distance from one point in...

In this expressions and operations worksheet, students solve 5 multiple choice problems involving quadratic equations. Students answer 1 world problem and solve 4 quadratic equations.

In this complex fractions worksheet, 9th graders solve 10 different problems that include simplifying various complex fractions. First, they create one single fraction in the numerator and then in the denominator. Then, students rewrite...

In this 8th grade mathematics compilation worksheet, 8th graders solve 40 various types of problems for 8th grade. They determine the measurement of various triangles. Students also write the expanded form of an expression. In addition,...

In this quaternions learning exercise, students solve and complete 7 different problems. First, they read and identify quaternions as expressions in a given form of ordinary real numbers. Then, students add and subtract a few problems by...

In this inverse functions and relations learning exercise, 11th graders solve and complete 12 different problems. First, they find the inverse of each relation and determine whether the inverse is a function. Then, students find the...