Expand your knowledge of exponents with an activity that promotes critical thinking and comparison skills. Middle and high schoolers compare numbers written in expanded and exponential form and explain their strategies for solving...

In this algebra worksheet, young scholars apply various properties of logarithms to transform and evaluate logarithmic expressions. There are four questions.

How did the chicken travel down the road? Given a picture of a chicken truck, class members brainstorm what information they need to determine the total number of chickens on the truck. Pupils research for the information and devise a...

This is a 10-problem worksheet on simplifying rational expressions. Most of the problems require factoring. It is assumed that the domain of variables do not include values for which any denominator is zero. Answers are included.

In this  worksheet, students divide rational expressions and write the answer in simplest form. The problems start out as fractions with monomials and gradually become more complex with factoring required. This one-page worksheet...

Investigate simplifying rational expressions. Learners define rational expressions, review how numerators and denominators are polynomials and complete several problems using a checklist to ensure they don't skip any steps. Work can be...

In this 2-day lesson focused on exponents, middle schoolers will cross the curriculum by engaging in science, history and language arts activities. Exponential growth will be explored using grains of rice on a chess board. Exponential...

In this factoring worksheet, students factor algebraic expression in eight multiple choice problems and one free-response problem.  The solutions are provided.

What does it mean to solve an equation? The resource revisits the concept of making a linear equation true. Classmates use algebraic methods to transform sides of equations to expressions with fewer terms. They use substitution to...

Solving problems about pen and paper with systems of equations ... or is it the other way around? In the lesson, learners first interpret expressions and use equations in two variables to solve problems about notebooks and pens. They...

Teach pupils to handle fractions fluently. The sixth installment in the series of 28 has class members apply the concepts learned in previous lessons to expressions with fractional coefficients. The fractions are both mixed numbers and...

Create rectangle and area models to help students understand expressions. The third installment in the 28-part series has pupils first represent expressions using rectangular array models. The exercises help scholars understand the...

For this algebra worksheet, learners use the distributive property to remove parenthesis. They combine like terms to simplify the expressions in 31 problems.

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, learners use order of operations to solve 12 equations. They use the substitution method to solve 12 variable equations.

For this algebra worksheet, students solve 12 linear equations. They use opposite operations to solve for the given variable. Students combine like terms and use order of operations rules to simplify 13 expressions.

For this algebra worksheet, students evaluate 9 exponential terms. They use order of operations to solve 18 rational number problems. Students use substitution to evaluate 4 problems involving variables.

Students simplify expressions by combining like terms. In this algebra lesson, students rewrite addition and subtraction equations using the correct terminology. They use Algeblocks to model and solve these expressions. They simplify the...

Students simplify equations and expressions. In this algebra lesson, students add, subtract, multiply and divide as they solve expressions. They relate factoring to solving polynomials.

Students define equations and expressions. For this algebra lesson, students review important vocabulary words to do with equations and solving problems. They simplify equations and expressions using addition, subtraction, multiplication...

Take some intellectual fun and apply it to the concept of multiplying expressions together. A guide models how to break two numbers into an area model to multiply together in pieces similar to FOILing. The rest of the puzzles consist of...

Middle schoolers describe plotting functions on the Cartesian coordinate plane. They solve functions on paper and using an online tool to plot points on a Cartesian coordinate plane creating lines and parabolas.

Help mathematicians see that a formula found in a physics book has an algebraic structure. Though the formula given in the resource looks complicated, learners are to break down the expressions and interpret each part separately....

Solve equations by completing the square. The pupils factor quadratic equations and graph the parabola. They also identify the different terms in the equation and look for patterns.