What do the questions look like? Six free-response questions provide pupils with knowledge of how calculus topics appear on the AP® Calculus exam. The questions involve calculator and non-calculator problems by providing mathematical and...

Most say that practice makes perfect. Scholars use the released free-response questions to practice for the AP® Calculus AB exam. Each question comes with several parts and either do or do not allow calculators. Items include topics such...

What do a zoo, snow, and a moving particle have in common? The six free-response items from the 2010 AP® Calculus BC exam allow teachers and pupils see how items may show up in context. Three of the questions are from only the BC portion...

Make the connection between money and exponential equations. Pupils continue financial lessons as they learn about compound interest in savings accounts. They extend the investigation of savings by looking at annuities, and then...

Dogs can't do math ... but people sure can! A set of five lessons has scholars apply math concepts to solve problems related to buying a new dog, such as designing a fence and a dog house, estimating how large the dog will become, and...

Math modeling to help endangered species? Scholars first investigate linear and exponential equations and graphs that model fictitious animal populations. They consider how key features of the graphs relate to the situation. As a final...

Crime doesn't pay, but everyone can learn from it. Learners consider different situations involving mischief at a school, such as stink bombs and rockets, and analyze them using mathematics. They must apply trigonometry, quadratic...

Just how fast does bacteria grow? Over the course of three lessons, pupils investigate exponential growth with the use of bacteria growth. During the lesson, bacteria from a cell phone is grown to make a connection to real life. Using...

Challenge mathematicians to crack the binary code with an interactive that focuses on numbers nine to 16. A table reveals exponential equations to aid in answering multiple-choice questions. A discussion question gauges comprehension. 

Ramp up a design challenge. Class members design ramps to meet a client's requirements to comply with the American with Disabilities Act. The scholars create a scaled graph of their designs and determine the equations of the lines on...

Use mathematics to help the football team. Pairs brainstorm how to approach finding a solution to a problem to help the quarterback complete more passes. By researching and collecting data, the teams derive an equation to represent the...

Will he make it? After watching a video of part of a basketball shot, groups create their own videos. Teams record a video of shooting a ball at a hoop and edit it to show only a portion of the shot. Group members determine the equation...

Otters swim through numerical gates carrying multiplication equations with a missing factor. By choosing the gate with the correct missing factor, players make the otter swim faster in the online game.

Put everything together implicitly. Pupils use their knowledge of implicit differentiation to determine whether a curve is increasing or decreasing or its concavity. Given a differential equation, scholars determine whether a specific...

They grow by leaps and bounds. Learners watch a quick review on function notation as they prepare to learn more about exponential growth. Using their knowledge from sequences, pupils find out whether a function is linear or exponential,...

Break it down to solve it. Learners watch a video on how to factor out the greatest common factor for algebraic expressions. They see how to use factoring and the zero product property to solve polynomial equation and practice their...

Is it possible to factor out more? Scholars view a video presentation on factoring second degree trinomials. They learn about the magic X method to keep track of the constant factors. To finish, scholars use the learned method while...

Help! The leading coefficient is not one. Learners view a video showing a technique to factor trinomials when the leading coefficient is not one. Pupils try a few examples including solving equations by factoring and check their answers...

Get ready to set the standard! Pupils watch a video on how to graph a parabola from a quadratic in standard form without converting the form. Scholars learn how to find the axis of symmetry from the equation and from there the vertex....

Take the next step in separating. Pupils pick up from the previous lesson to now find the particular solution of a differential equation at a given point. Scholars watch three examples of finding the particular solution and hear the...

A learning game tests scholars' subtraction skills. While playing, participants use a canon to subtract the slime away by choosing the correct equations that correspond with the number shown. 

Play a game of subtraction tug of war with an engaging learning game that challenges scholars to answer equations as quickly as possible.

Scholars compete in a canoe race that challenges them to multiply two-digit numbers. The faster they solve equations, the faster their canoe makes it to the end. 

Full speed ahead! Young learners conduct an activity using toy cars and ramps. They collect data on mass, speed, and time to investigate Newton's second law of motion. Ideally, they'll come up with the equation F = ma.