Analyze functions by their shape and equation and identify decay and growth based on the equation given. Learners graph their exponential functions and differentiate it using the logarithmic versus the exponential function.

Students investigate the concept of using quadratic data to plot coordinates on a plane. They also apply the quadratic formula for a variety of problems with the help of a graphing calculator to draw the parabola for given coordinates.

Predict the year that college costs will double in your state using linear modeling. The first part of this two-part project based learning activity asks young mathematicians to use data from the College Board. They graph the data,...

Learners receive a miniature pumpkin and proceed through several stations to measure a variety of physical properties. The data is entered into a data sheet and the mass and volume measurements are used to calculate density. They also...

Students use the graphing calculator and the core equation: y=Ax^2+Bx+C where A = the acceleration of gravity/2, B = the initial velocity, and C = initial height above ground to graph parabolas for Earth and Mars. They experiment with...

Students develop a formula that describes the functional relationship of the circumference of a circle to its diameter. Working with a partner, they measure the diameter and circumference of circular objects in order to discover the...

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...

In this A.P. Calculus BC learning exercise. students solve six practice problems.  A graphing calculator is required on the first three questions and not allowed on the next three.  Directions are provided.

Learners read real world problems, determine the variables, and set up the function using algebraic statements. After entering data into the graphing calculator, they display information in the form of graphs and scatter plots. ...

Learners engage in a lesson that is about relational functions with the application of methods to real life problem situations. They use the examples found in the lesson for the purpose of practice during guided instruction. Students can...

Students use the equation to calculate the vertical distance an object fall during 1 second in 1/10 second increments. (The acceleration due to gravity on the Earth=a= 9.8 m/s2) Using a graphing calculator, students plot the path of a...

In this investigating slope learning exercise, students use their graphing calculators to graph equations of a line with negative and positive slopes. They observe differences between the positive and negative slopes and write a rules...

In this function families instructional activity, students graph 6 families of absolute value equations on a graphing calculator and transfer a sketch to graph paper. Students then answer 8 questions to identify the vertex.

This instructional activity begins with an explanation of how to add and subtract positive and negative integers. Learners solve and complete 20 different problems that include these types of problems. First, they fill in each blank with...

The probability is high learning will occur! A well-designed unit introduces learners to the concepts of independent, dependent, and mutually exclusive events. Using Venn diagrams, the lessons ask learners to analyze many different...

Eighth graders explore exponents and look for patterns that help to determine the ones place when the base is raised to any power. They use trial and error and seek general solutions. Also, identify patterns in a number sequence.