Using the provided worksheets, students solve equations involving factoring and finding square roots. At the conclusion of the lesson, they discuss the answers and any difficulty experienced in solving the equations.

Explore logarithms and logarithmic regression. Young mathematicians first learn about inverse functions and about the logarithm function family. They take their newfound knowledge to use logarithmic functions to model situations and...

A baseball trajectory and a parabola seem to make the best pair in real-world quadratic applications. Here is a current baseball resource with questions, discussions, and explorations regarding a quadratic function and home run...

This problem is sure to get your young mathematicians thinking. The idea sounds simple: one equation, solve it as many ways as you can. This is meant to get at a deeper understanding of solving quadratic equations, including some more...

Scholars investigate transforming parabolas.  In this transforming parabolas lesson, they take the parent graph y=x^2 and transform it by shifting left, right, up, and down and shrinking and stretching. The class finds maximums,...

Calculus students find the limit of piecewise functions at a value. They find the limit of piecewise functions as x approaches a given value. They find the limit of linear, quadratic, exponential, and trigonometric piecewise functions.

Paper folding, flu spreading in a school, bacteria growth, and continuously compounded interest all provide excellent models to study exponential functions. This is a comprehensive resource that looks at many different aspects of...

Students investigate the properties behind the quadratic equation. In this algebra lesson, students identify quadratic equation in the real world. They graph the parabola and identify the vertex and intercepts.

I got a different answer, are they both correct? While working through modeling problems interpreting graphs, the question of precision is brought into the discussion. Problems are presented in which a precise answer is needed and...

Find relationships between the structure of a function and its graph. An engaging lesson explores seven parent functions and their graphs. Learners match functions to their graphs and describe transformations.

When complicated algebraic expressions are involved, it is sometimes easier to use a table or graph to model a context. The exercises in this lesson are designed for business applications and require complex algebraic...

Show learners how to develop a procedure for solving equations using radicals with the fifth lesson of the 25-part module that challenges learners to use properties to solve multi-step quadratic and cubic equations. Individuals round out...

In this math worksheet, students write 8 equations of the axis of symmetry and find the coordinates of each quadratic function. Students graph 4 of the equations and state if the vertex is maximum or minimum.

High schoolers 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.

Students solve quadratic functions. In this solving quadratic functions instructional activity, students determine the height of an object at a given time. Students determine the time at which an object hits the ground. Students answer...

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

Students work in small groups to draw the trajectory of several scenarios. They label parts of the resulting parabola (vertex, axis of symmetry). Students complete four stations to explore quadratic functions.

High schoolers organize data from the USA TODAY Snapshot, "Is leisure time really shrinking?" into two scatter plots and determine the quadratic model for each scatter plot. They determine if these graphs intersect and learn the concept...

In this matter and motion worksheet, students solve 3 different types of problems that relate to the chain rule for multivariable functions. First, they find the rate of increase of the volume of a can and the rate of increase of the...

In this algebra worksheet, students solve 11 quadratic equations for the given variable. Four problems require students to multiply two binomials. The final 5 problems students are to solve by completing the square.

Students differentiate between linear and quadratic functions. In this algebra lesson, students write equations of graphs and graph a function from an equation. They also move the graph around on the coordinate plane.    

In this algebra worksheet, 11th graders solve a variety of problems using linear and quadratic properties as it pertains to functions. There are 12 questions.

Get out those thinking caps and apply graphing functions to a real-world problem. Use the TI-83 graphing calculator to evaluate algebraic expressions that are imbedded in a series of real-world scenarios. A great activity!

In this graphing worksheet, young scholars determine the domain and graph quadratic functions. Coordinate planes are provided below each function. There are 36 problems on this four-page worksheet.