Many problems in life have more than one possible solution, and the same is true for advanced mathematics. Scholars solve seven problems that all have at least two solutions. Then three higher-level thinking questions challenge them to...

As one of the few AP tests that count for second year college course credit, the AP Physics 2 exam requires a higher level of knowledge than most. Help young scientists study for their upcoming AP Physics 2 exams with previous...

Can you spare a 10? Scholars determine digits that could complete a two-digit subtraction problem. They must find all possible combinations of digits and provide an explanation for their reasoning.

Water quality testing often reveals interesting facts about the local environment. Scholars respond to several AP® questions highlighting topics such as air pollution, water pollution, and the spread of disease. Each question requires a...

A three-part assessment promotes reading comprehension skills. Class members read literary texts and take notes to discuss their findings, answer comprehension questions, write summaries, and complete charts. 

Keep your pets slim, trim, and healthy using mathematics! Pupils use a linear programming model to optimize the amount and type of food to provide to a pet rabbit. They model constraints by graphing inequalities and use them to analyze a...

Trigonometry teachers often go off on a tangent, and here's a instructional activity that proves it! First, young mathematicians use a formula with tangent to prove a formula correct for area. Then, they draw conclusions about the area...

A middle school test contains two 40-minute sections covering material through algebra. All questions involve applied problem solving or mathematical analysis.

A thorough math test divides the content into two 40-minutes sections, covering material through algebra and geometry. Problems incorporate analysis and applied problem solving.

An inverse relationship exists between exponents and logarithms, allowing mathematicians to easily convert one to the other. Scholars apply a brief definition of logarithms with a few practice problems. Then, they discover the...

Earth's systems respond to changes in environments in all types of ways including migration, extinction, adaptation, immigration, and emigration to name a few. Part one in a series of seven is a pre-test consisting of 14 questions. Some...

The lessons are complete. Learners take an end-of-module assessment in the last installment of a 23-part module. Questions contain multiple parts, each assessing different aspects of the module.

One is chance, two is a coincidence, three's a pattern. Scholars must determine similarities and differences of a regular hexagon undergoing dilation. They look at lengths, angles, areas, and symmetry.

Does pride really goeth before the fall, or can it be essential to one's development? Second graders read two of Aesop's fables that refer to pride in their morals, and write a short essay about whether pride is good or bad, based on...

Young mathematicians demonstrate what they know about measurement with a four-task assessment that focuses on estimation, length, and inches.