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...

Using a carousel activity, class members gain an understanding of the idea of inferences by using pictures then connecting them to mathematics. Groups discuss their individual problems prior to sharing them with the entire class....

Get better prepared. Individuals use the six released AP® Calculus BC free-response questions to practice for the actual exam. The questions contain two calculator items and four non-calculator items. Topics include particle movement,...

What function will describe the insect population growth? Pairs or small groups work together to determine which type of function and specific function will model given scenarios. The scenarios differentiate between linear,...

Unshackle oneself from the burden of not understanding derivatives. The first of seven lessons in Unit 3 - Differentiation looks at the Chain Rule. By watching a video, scholars learn when to apply the rule and how to use it to determine...

Introduce comparing fractions with a learning exercise containing visual models. Young mathematicians must first identify the part being described in each model and then write greater than, less than, or equal to. Learners prepare to...

Keep moving along a curve. Two items in the set of released free-response questions from the 2010 AP® Calculus BC exam involve movement along a graph. One involves particle motion along a polar curve while the other uses a squirrel...

Don't get lost trying to memorize all those derivative rules. Scholars review the different methods at their disposal to determine derivatives from Units 2 and 3. They fill out a graphic organizer and then complete a set of practice...

Buying a new sofa? Learn how to use the Pythagorean Theorem, as well as algebra and graphing techniques, to determine whether the sofa will fit around a corner (which I'm sure you'll agree is a very important consideration!).

Discover how to use mathematics to make a stronger soccer team. Young soccer enthusiasts use given data to make decisions about a soccer team. They decide which position to assign each player, consider what makes a good pass and...

Math and sports meet on the baseball diamond in the first STEM lesson in a series of six that asks pupils to collect and perform comparative analyses of data specific to baseball. Following the analysis, scholars create a presentation...

Build a function to solve problems rooted in archeology. A comprehensive set of five lessons presents problems requiring individuals to use functions. The initial lesson asks learners to find the possible number of dinosaurs from a...

Explore the meaning of scale and proportion with a set of five activities that examines the topic from elementary through high school. The first lessons explore ratio by examining pictures of different sizes. The next three activities...

Teach statistics by analyzing raisins. A thorough activity provides lesson resources for five levels to include all grades. Younger pupils work on counting and estimation, mid-level learners build on their understanding of the measures...

Explore distance and time factors to build an understanding of rates. A comprehensive set of problems target learners of all grade levels. The initial problem provides distance and time values and asks for the winner of a race. Another...

Examine the consequences of varying speed.  An engaging set of five problem sets challenges young mathematicians by targeting a different grade level from K-12. In the initial lesson, scholars make conclusions about the time it...

What does completing the square have to do with circles? Math pupils use completing the square and other algebraic techniques to rewrite equations of circles in center-radius form. They then analyze equations of the form x^2 + y^2 + Ax +...

Should matrices be allowed to commute when they are being multiplied? Learners analyze this question to determine if the commutative property applies to matrices. They connect their exploration to transformations, vectors, and complex...

Can they put it all together? Ninth graders apply what they know about proofs and triangle congruence to complete these proofs. These proofs go beyond the basic triangle congruence proofs and use various properties, theorems, and...

Discover how mathematics can be useful in comparing strategies. Scholars develop probability distributions for situations and calculate expected value. They use their results to identify the best strategy for the situation.

Take young mathematicians' understanding of percents into the real world with this series of word problems. Involving a variety of contexts from calculating scores on math tests and savings account interest, to determining sale prices...

Piece by piece young scholars build a basic understanding of fractions in a Common Core-designed elementary math lesson. Through a series of hands-on activities and journaling exercises, and with the help of multiple...

The greater the degree, the more solutions to find! Individuals find the real solutions from a graph and use the Fundamental Theorem of Algebra to find the remaining factors. 

Just how scarce is water in different parts of the world? Through these water lessons, young data analysts use provided data to investigate the scarcity of water in countries of the Middle East and Africa. They use ratios and rates to...