There's a fine line between a numerator and a denominator! Learners find common denominators in order to add and subtract rational expressions. Examples include addition, subtraction, and complex fractions.

Consider complex numbers, roots, and quadratic equations. Use the discriminate as a way to determine the nature of a quadratic's roots. Then discuss the similarities and differences between quadratics with two, one, or no real roots....

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...

Teach class members to work with rational expressions using their knowledge of fractions. The lesson plan starts with a warm-up of rational expressions at four different levels of complexity. The different levels continue throughout...

Young scholars solve trigonometric equations. In this precalculus lesson, students prove trigonometric identities using the Pythagorean Theorem. They apply the addition formulas for sine and cosine to prove different identities.

Students solve problems involving tax, tips and discounts. In this algebra lesson, students convert between percents and decimals. They calculate commission using conversion from percents and fractions.

Eleventh graders investigate the way credit cards work when collecting interest. In this algebra lesson, 11th graders investigate the growth of interest exponentially when using a credit card. They calculate what the cheapest rate is to...

Assume all you know is that the variable Q represents a value that is bigger than the value represented by the variable P. Which is larger P + Q or 2P? The problems in this activity get more complex than...

Algebra learners solve various rational equations. These start out fairly basic and get a little more complex. 

In this exponent worksheet, students add, subtract, multiply and divide exponents. They solve problems containing negative exponents, fractional exponents, and polynomials. This two-page worksheet contains eight problems.

Mixing math and art is done in this lesson by applying graphing knowledge to create a unique piece of art. This lesson varies acording to the graphing knowledge of the artist. First, learners identify and review various types of graphing...

Here is a multiple choice question that would make a good assessment question. Algebra learners are to look at the structure of the formula for a given radius of a cylinder and find the resulting radius when the height of the...

In 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 7...

Young scholars determine how a woman's estate is divided among her beneficiaries according to Islamic inheritance law. They add and subtract fractions.

Ninth graders review the information that they have already learned with regard to linear equations and graphical representations. They then assist in combining equations with a graphical element and complete various graphs with this...

Learners use a given spreadsheet to investigate an iterative process by changing the variables. They design their own spreadsheet to investigate the iterative process.

Eighth graders explore representing fractions as ratios and proportions. They model proportions through the use of blocks, LEGO gears and activities with bicycle gears and pedals. Students work with bicycle gear boxes to observe and...