This instructional activity provides good practice of factoring expressions and solving quadratic equations by factoring. It also includes a word problem and graphing an equation using a calculator. This one-page instructional activity...

In what ways can you transform a graph? An engaging video answers this question as it covers reflections, translations, and stretches of graphs. To test their knowledge, individuals complete a set of problems to apply this knowledge.

For this quadratic inequalities worksheet, students graph six quadratic inequalities. They solve two quadratic inequalities to identify one solution. In this quadratic inequalities worksheet, students draw the parabola and shade inside...

Review the multiple methods of solving quadratic equations through an analysis of the discriminant. Scholars use the discriminant to determine the best solution method and then solve various equations. As a challenge, learners build...

Pupils determine equations that match the graphs of transformations and the parent quadratic function. The resource requires class members to attend to precision and think abstractly.

Read between the curves ... quadratic curves! Young scholars analyze the graphs of two quadratic functions by writing their own function whose outputs are between the two given. They then consider intersecting quadratic functions and...

This real-life model of braking distance motivates learners to approach quadratic equations algebraically, numerically, graphically, and descriptively.

Here is a learning exercise that takes all aspects of quadratic functions and incorporates imaginary numbers into the problems. The problems range from simplifying to graphing and solving by using a variety of methods with imaginary and...

How can baseball and skeet-shooting be modeled mathematically? Sports lovers and young mathematicians learn how to use quadratic equations and systems of equations to model the flight paths of various objects.

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...

Rewrite a quadratic function to easily see the transformations involved. The instructional task takes a general quadratic function and rewrites it into a form that shows the translations and scaling of the parent quadratic function. The...

Students review how to graph parabolas. They practice graphing two different parabolas using the vertex and table method. They solve problems related to graphing circles, determining the radius and the center.

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. 

Find the area as it slides. Pupils derive an equation to find the painted area of a section of a trapezoidal-shaped stage The section depends upon the sliding distance the edge of the painted section is from a vertex of the trapezoid....

Far out — plan a trip to space! Aspiring mathematicians steer a space vehicle through an asteroid field, calculate currency exchanges to buy provisions, and determine placement of charges to blow up asteroids. Along the way, they learn...

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...

Graph quadratic functions and find the zero in this activity. Twelve problems range from those that could be quickly factored and graphed, to those that require use of the quadratic formula and their graphs approximated. Solutions...

Graph the night away with all the different types of functions provided in the worksheet. Linear, quadratic, and rational all ask for graphs, domain and range and other key factors about the functions.

If a linear function and a quadratic function enter a boxing match, which one would win? Learners first review how to find key features of linear and quadratic functions. Next, they compare key features of pairs of functions.

Learners rewrite a general quadratic function by completing the square to see a new form of the function that more easily identifies the x-coordinate of the vertex and the two roots of the function.

There's more than one way to solve quadratic equations. Scholars learn how to solve quadratic equations using alternate methods. They use completing the square by making the linear coefficient even and the leading coefficient a perfect...

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...

Learners graph and solve quadratic equations. In this functions lesson, students analyze a quadratic equation using three points on a curve to define the graph of a quadratic function. They find the vertex and intercepts of the graph.

In this math learning exercise, students investigate the quadratic functions. They solve the word problems while writing the new algebra expressions.