Discriminate between the types of roots. The interactive root introduces the discriminant and its connection to the types and number of roots. Pupils use a slider to view graphically the effect of the sign of the discriminant on a...

Working with imaginary numbers — this is where it gets complex! After exploring the graph of complex numbers, learners simplify them using addition, subtraction, and multiplication. 

Which function models the data best? Pupils work through several activities to model data with a variety of functions. Individuals begin by reviewing the shapes of the functions and finding functions that will fit plotted data points. By...

Through discussions and journaling, classmates determine methods to associate types of functions with data presented in a table. Small groups then work with examples and exercises to refine their methods and find functions that work...

Join the family picnic and see how all the functions come together in a PowerPoint that highlights their main features. As it includes topics such as domain, range, and intercepts, the slides are a great guide to promote class...

Don't let a little challenge get between your pupils and their learning! Scholars compare two absolute value functions to recognize patterns and use them to build their own functions with outputs that are between the given. They then...

Find out if there are enough squares. Given diagrams for the first four figures in a sequence, pupils try to determine the next figure. Individuals find the number of square and triangle pieces of fabric that are required to make...

The Pythagorean Theorem makes an appearance yet again in this lesson on polynomial identities. Learners prove a method for finding Pythagorean triples by applying the difference of squares identity. 

Building a doghouse is easier with a little mathematical help! Young scholars use sliders to adjust the length of the doghouse and watch as it affects the width and area. They then answer questions that help them discover the question...

Don't watch the resource go down the drain. Scholars perform an experiment where they measure the amount of water that flows from a funnel over time. They use the data to create graphs and find the curves of best fit.

In this polynomial learning exercise, students solve 12 questions. The first five questions deal with the roots of the polynomials. Students state the inverse for one problem and the reciprocal for one problem. They make three graphs,...

Adjust this lesson to fit either beginning or more advanced learners. Build a scatter plot, determine appropriate model (linear, quadratic, exponential), and then extend to evaluate the model with residuals. This problem uses real-world...

In this quadratic formula learning exercise, students solve and complete 22 different types of problems. First, they solve each equation by completing the square and applying the quadratic formula. Then, students graph each function...

Using their Ti-Nspire to determine the solutions of parabolas, students explore the concept of complex roots.  Students determine if parabolas have real or complex roots.  Students determine the the axis of symmetry and the...

Pupils investigate linear, quadratic, and exponential regressions. They plot sets of data points, determine the regression equation that best fits the data and lastly investigate the coefficient of determination.

Students factor polynomial equations. In this algebra lesson, students identify the zeros of the equations. They use algebra to rewrite word problems using symbols.

In this algebra learning exercise, students investigate the reason for factoring out a quadratic equation and rewrite it without parentheses. This sheet serves as a review guide for factoring quadratics.

Students investigate planning an activity and getting it done on time. For this algebra lesson, students define vocabulary words related quadratic equations, including the vertex and intervals. They figure a good way to color graphs...

In this physics worksheet, students model the position, velocity and acceleration using mathematical formulas and a computer program. Then they interpret the parameters in each of the models. Students also complete the experiment and...

In this standard form learning exercise, 11th graders solve and complete 25 different types of problems. First, they write the value of each number given using standard form. Then, students add or multiply each given equation and write...

In this functions worksheet, pupils explore the graphs of fifteen parent functions.  This worksheet is meant as a reference for students.

Touchdown! This is an exponentially insightful lesson that explores the growth of football games with different video game consoles. Class members discuss whether the increase of mergahertz can be described as linear or exponential....

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...

In this Algebra I/Algebra II worksheet, learners identify the vertex and the axis of symmetry of a parabola, given the equation.  The two page worksheet contains a combination of ten multiple choice and free response...