Shuffle 'em up and deal! Learners practice operations with polynomials using cards they pass around the room. The activity works with pairs or individuals, so it offers great flexibility. This is the fifth installment in a series of 42...

(vegetable)^(1/2) = root vegetable? The fourth installment of a 35-part module has scholars extend properties of exponents to rational exponents to solve problems. Individuals use these properties to rewrite radical expressions in...

The greater the degree, the more solutions to find! Individuals find the real solutions from a graph and use the Fundamental Theorem of Algebra to find the remaining factors. 

Patterns in math emerge from seemingly random places. Learners explore the patterns for factoring the sum and differences of perfect roots. Analyzing these patterns helps young mathematicians develop the polynomial identities.

The LCM will be your new BFF. Learners review least common multiple and least common denominator applications, mostly on fractions, from middle school. Scholars then see how the LCM can be applied to various types of problems from...

Written to assess high schoolers' knowledge of interpreting expressions that represent a quantity in terms of its context, this machine-scored task also allows for a good discussion about units guiding the problem solving and solution.

Introduce your class to the federal tax system through an algebraic lens. This resource asks pupils to examine the variable structure of the tax system based on income. Young accountants use equations, expressions, and inequalities to...

Increase the percent of pupils that are fluent in solving change problems with an activity that asks class members to look at problems that involve either increases or decreases and to express the change in terms of the percent of...

The amount of tax and tip on a restaurant bill is a common example used in percent problems. Here, learners only know the total amount paid, and they need to figure the itemized amounts. Solutions using a ratio table, using knowledge of...

Substitution is still the method of choice to verify number sentences. The detailed lesson has young mathematicians determining conditions for when number sentences are true or false through substitution. They learn to express these...

In this order of operations worksheet, young scholars simplify 10 multiple choice problems.  Students use order of operations to simplify each expression.

In this algebra lesson, students work in groups to design a treasure map in which algebraic equations must be solved using the correct order of operations. Students decide where treasure is hidden, then create and follow their group's...

In this solving formulas worksheet, students solve use their rules of algebra to solve algebraic expressions for the identified variable. Twelve formula problems are provided on this one-page worksheet.

Sixth graders practice translating verbal expressions into algebraic expressions. For this introductory algebra lesson, 6th graders practice writing written/verbal sentences into algebraic expressions and vice versa. Students also review...

In this algebra worksheet, students review the concepts taught in an algebra 1 course. The review includes radical expressions, quadratic equations, scientific notation, rational expressions, factoring and simplifying expressions,...

Middle schoolers add, subtract, multiply, and divide rational numbers. They find the square and the cube of numbers. They create a game incorporating computation on rational numbers. Everyone works together to write and evaluate...

After discussing the difference between rational and irrational numbers, the class pratices simplifying, adding, and subtracting radical expressions. They play a game which involves passing around cards until they have matching hands of...

In this algebra worksheet, students solve expressions when given values of variables. Expressions require students to multiply, divide, and raising answers to powers.

Pre-algebra pupils need to understand that two expressions are only equal if they have the same value. Show them that once the expression is multiplied by a number, the value of the expression changes. It makes for a good lead-in to...

In this algebra worksheet, students factor the numerator and denominator of 20 complex fraction to determine common terms. The first six problems require students to simplify. The final 14 problems require either multiplication or...

In this algebra worksheet, students multiply 4 radical expressions. They simplify 6 expressions by factoring out perfect squares. Students combine multiplication and simplification on three problems.

In this algebra worksheet, students add 5 expressions with radical signs. In 6 problems, students multiply with radicals over parenthesis. The final 4 problems require students to rationalize the denominator and divide.

In this algebra worksheet, high schoolers compare integers, translate words to a numerical expression, identify sets of numbers, identify properties, use order of operations, multiply fractions, and solve simple word problems. This 13...

In this algebra worksheet, learners 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 7...