Students explore the process of inverse operations to solve square root problems. After exploring the perfect squares and area, students examine methods to find square roots by observing the teacher, taking notes, and listing vocabulary...

Students differentiate between perfect roots and rational roots. In this algebra lesson, students perform operation using roots. They add, subtract, multiply and divide rational expressions.

In this quadratic equation worksheet, students solve equations by identifying the square roots. They identify all possible solutions. Twenty problems are provided on this one-page worksheet.

In this quadratic equations worksheet, students solve quadratic equations containing square roots. They combine like terms and solve for the unknown. This four-page worksheet contains 28 problems. Answers are provided on the last two pages.

Eleventh graders solve problems with roots and exponents. In this algebra lesson, 11th graders use the properties of powers to help them multiply, add, subtract and divide exponential functions. They take the square root of rational and...

Fourth graders use inductive reasoning to find algebraic patterns in geometric figures. They use technology (i.e., calculators, computers) and manipulatives to discover number patterns involving geometric concepts. They solve concrete...

Learners identify and define the rules of properties of real numbers. They rewrite each of the problems listed using the commutative or associative properties. Pupils apply problem solving strategies to clarify situations in a table...

Middle and high schoolers solve problems involving linear equations, inequalities, quadratics, radicals, systems of equations, exponents, and polynomials. Many of the problems encompass a review of Algebra I. This 10-page worksheet...

In this algebra worksheet students find the root and simplify 20 radical expressions. Students use the product and quotient rules to simplify 27 radical expressions. They add or subtract radicals on 13 problems.

This learning exercise is a mix of 24 problems on adding and subtracting rational expressions. All of the problems have unlike denominators. Most require factoring of the denominators, and a few contain mixed expressions and three...

A lengthy narrative about Pythagoras and his students precedes an activity in which your young mathematicians practice using the Pythagorean theorem to solve three problems about flight and distance. Answers are provided. 

For this algebra worksheet, students simplify 14 complex radical fractions. They find the square roots for both the denominator and numerator, dividing out any factors that are the same to completely simplify the fraction. For the final...

In this algebra worksheet, students solve 10 equations for the given variable. Each problem involves numbers under a radical sign.

Paper folding, flu spreading in a school, bacteria growth, and continuously compounded interest all provide excellent models to study exponential functions. This is a comprehensive resource that looks at many different aspects of...

Provide students with the skill for how to examine algebraic and graphical approaches to solving radical equations. Learners solve various radical equations involving square root and cube root expressions. They first solve...

Give your classes practice at modeling using quadratic models with a resource that uses area and integer problems to allow individuals to create second degree polynomials. Young mathematicians solve equations using factoring and then...

Explore the solution to a word problem involving area and perimeter. Learners read and discuss how to approach the problem. In small groups, they determine the maximum area of a rectangle with a given perimeter using a piece of string....

Here is a wonderful lesson designed for young mathematicians. In it, they employ simple addition and subtraction strategies in order to solve word problems. There are some excellent activity sheets embedded in the plan to make the...

When multiplying two-digit numbers by one-digit numbers, use a guided set of problems like this one. There are three examples for young mathematicians to reference, and they solve 20 equations. They are required to regroup for some....

Help the class find a better way. Pupils recall finding nth roots or a complex number in polar form from a previous module to find the square root of a complex number. Using the second installment in a series of 23, scholars discover it...

Halfway through the module — the perfect time for an assessment. The 18th installment of a 36-part series is a mid-module assessment. Scholars provide evidence of understanding through various mathematical and contextual problems.

Finish out the module with a bang. The last installment of a 36-part module is an end-of-module assessment task. Test takers set up equations to represent relationships and solve problems in an assortment of contexts.

Fifth graders explore the concept of equivalency. In this math lesson, 5th graders write their own word problems and pair them to appropriate algebraic number sentences.

In this algebra worksheet, students are asked to add up the integers from 1 to 100.  They use Gauss method to find the sum of this arithmetic series. There is an answer key with this problem.