Factors, zeros, and solutions, oh my! Don't let your classes become overwhelmed with the vocabulary. An engaging lesson helps learners make a connection between factors, zeros, and solutions. Pupils explore the relationship between the...

Functions require an input in order to get an output, which explains why the answer always has at least two parts. After only three multi-part questions, the teacher can analyze pupils' strengths and weaknesses when it comes to...

A function is like a machine that has an input and an output. Challenge scholars to look at the eight given points and determine the two functions that would fit four of the points each — one is linear and the other non-linear. The...

Does the number of calories you eat affect the total time you sleep? Young mathematicians tackle this question by collecting their own data and making comparisons between others in the class through building scatter plots and regression...

Starting a year of Algebra I? This mighty packet practices all of the major topics with different ranges of difficulty. Standards include everything from linear to quadratic to rational expressions. Use it in a...

Pupils identify the multiplicity of exponents as they graph polynomials. They write equations for a function given the zeros of the function and work backwards from solving equations.

Learn how to explore rational functions and investigate the graphs rational functions and identify its singularities and asymptotes.  Learners approximate the solutions to rational equations and inequalities by graphing.

Eleventh graders explore quadratic equations.  In this Algebra II lesson plan, 11th graders use Geometer’s Sketchpad to explore the properties of quadratics and the connections with polynomials and linear equations.  The lesson...

Scholars identify the domain of a rational function in this precalculus lesson plan. They identify the removable discontinuity and label what will make the denominator zero. Learners also describe properties of the graph as it relates to...

In this worksheet, learners identify the Fundamental Theorem of Algebra. They solve polynomial functions and simplify expressions and equations. 

Students analyze taylor series for convergence. In this calculus lesson, students analyze the graph of a taylor series as it relates to functions. They use the TI calculator to graph and observe the different series. 

Young mathematicians solve problems with polynomials. As they graph and analyze polynomial functions, learners define constant and finite, and determine the relationship between the constant set of differences and the slope of a linear...

Students explore a variety of ways of solving quadratic equations. Students choose from graphing, factoring, finding square roots, completing the square and using the Quadratic formula. They ponder in the end on polynomial equations.

Budding mathematicians graph polynomial functions and examine their zero and y-intercepts. They analyze how the zero and y-intercepts of the numerator and denominator affect the graph of a rational function. Several great additional...

Pupils graph polynomial functions and analyze the graphs. They identify the inverse of the functions and find the domain and range. Learners will then label the functions as one to one and use the horizontal and vertical line test to...

Learners describe the end behavior of polynomial functions. Pupils relate the behavior of the graph to the exponent of the graph. They differentiate graphs with odd-exponent and graphs with even exponents.

Students explore various approaches to solving a problem of maximizing the total production of apples in an orchard. In this apple orchard lesson, students collect data in order to solve the apple orchard problem presented. Students plot...

Pupils explore the concept of derivatives. They use implicit differentiation to determine points on a graph where a tangent line is horizontal, vertical, or oblique. Finally, learners find the derivative of a polynomial by...

In this conic sections instructional activity, 11th graders solve and complete 16 different types of equations. First, they find the equation of the conic that has a given focus and directrix. Then, students convert each given polynomial...

Through learning about cubic functions, students graph cubic functions on their calculator.  Students determine the local maximum and minimum points and the tangent line from the x-intercept to a point on the cubic function. ...

In this differentiating special functions worksheet, students solve and complete 5 various types of problems. First, they differentiate each of the given functions. Then, students complete the table using a calculator and plot the points...

Students practice squaring binomials.  In this Algebra I lesson, the students use the "Square of Fun" to experience a concrete visualization of the process of squaring a binomial.  The lesson assumes that students have had...

What do you do with a difficult-to-factor quadratic expression? This lesson provides the answer. Pupils learn a grouping strategy to help factor trinomials. When guess and check seems too tedious, this method is the "works every...