In this college level mathematics worksheet, students solve rational equations and identify the extraneous solutions.  The two page worksheet contains fifty-eight problems.  Answers are included. 

Use equivalent expressions to reveal information about their graphs. Pupils verify that two quadratic functions are equivalent. By comparing the two expressions, they determine the vertex, the zeros, the y-intercept, and the...

Which deal is best? Learners determine which of two companies has the best deal for a particular number of shirts. They begin by creating a table and equations containing each company's pricing structure....

Help learners translate word problems into algebraic equations. They will rewrite words using symbols and evaluate algebraic expressions using real life scenarios, animation sequences, video presentations, and activities to help students...

Fourth and fifth graders make predictions using data. For this analyzing data lesson, pupils use experimental data, frequency tables, and line plots to look for patterns in the data in order to determine chance. You will need to make a...

Lights, camera, action! Math educators consider how to improve their instruction by examining a model of the five-practice problem-solving model involving a movie theater. Participants examine cognitive demand in relation to problem...

A seven-question assessment determines how well your learners understand the procedures to add, subtract, multiply, and divide signed rational numbers. Pupils show their understanding through problem-solving situations. 

We see percents everywhere! Building a solid understanding of their meaning is important to future mathematics, but also as citizens. Young scholars practice rewriting decimals, percents, and fractions. They also determine percents of a...

In critiquing someone else's theory, learners share insight into their own understanding of mathematical concepts. Fifth graders will explore the notion that products are always larger than their factors. While this statement is...

When is not solving the expression the correct answer? When you are checking the understanding of a math concept that is not number dependent. The real question being asked here is to look at the initial number, fraction, mixed number,...

Develop a model for a hanging chain. Pupils find a mathematical model for a hanging chain and then they compare their models to the precise function that models the curve. Scholars come up with a strategy to determine how close...

Explore the process of simplifying square roots through an analysis of perfect squares. The fourth lesson of 25 expects individuals to find the perfect square factors in each radicand as a means of simplifying. The perfect square factor...

You don't have to be an ancient Egyptian to decipher fractions in this activity that focuses on adding fractions with unlike denominators and developing fraction number sense. Egyptians represented fractions differently than we do. They...

Combine simplifying trigonometric expressions with evaluating them! An open-ended question presents a trigonometric expression and numeric values for additional expressions. Learners must determine a value for the original expression by...

Eight different numbers are listed for mathematics masters to analyze. They simply tell if each number is rational or irrational. They can also explain their reasoning. A simple and straightforward worksheet that is a handy tool for...

There's only one way to multiply, right? Not when it comes to polynomials. Reach each individual by incorporating various representations to multiplying polynomials. This lesson approaches multiplying polynomials from all angles. Build...

Looking for performance tasks to incorporate into your units? With its flexibility, this resource is sure to fit your teaching needs. Use this module as a complete assessment of graphing linear scenarios and polynomial operations, or...

Assess your young mathematicians' knowledge and understanding of the properties of exponents. The questions in the seventh lesson of 15 incorporate the properties learned in the first six modules of this series. Individuals use and apply...

Learners discuss Sol LeWitt and conceptual art, then analyze the differences in expressing a concept through model-based inquiry and aesthetic art criticism. They develop a geometric, scientific, or mathematical concept, then create an...

Seventh-graders solve 20 various types of problems related to ratio and rate. They write ratios in simplest form for each given statement, to compare the area of two figures, and write two ratios equivalent to each ratio. Pupils express...

In this study guide worksheet, students examine and complete questions that are similar to the college Accuplacer College Level Math test. This worksheet includes, but is not limited to, factoring and expanding polynomials, simplifying...

Abracadabra! Letters can be used in math to represent numbers with the operations of addition, subtraction, multiplication, and division to solve problems! Math magicians will participate in an activity that uses a calculator and a bag...

Here is a great way to get pupils to express a scientific concept in a fun way. After hearing the story of Walter the Water drop and learning facts about the water cycle, the class will write a creative expository piece describing what...

Mixture problems are a classic in first-year algebra. Unfortunately, many learners approach them in a formulaic fashion and don't truly understand the meaning of the algebraic expressions they are using. Here, the questions are not the...