Four simple equations, each with two variables, try to get at the important question of reasoning about equations. The problem isn't to solve the equations, but to understand the nature of their solutions. These equations address the...

Factoring polynomials is an important skill through high school math and beyond. It provides instructions for the basic types of factoring and a practice set with an answer key.

Future mathematicians learn about arithmetic and geometric sequences, as well as common ratios and differences as they complete a worksheet matching sequences with the algebraic expressions that represent them.

Investigate the application of vector transformations applied to linear systems. Individuals use vectors to transform a linear system translating the solution to the origin. They apply their understanding of vectors, matrices,...

Does the number of calories you eat affect the total time you sleep? Young mathematicians tackle this question by collecting their own data and making comparisons between others in the class through building scatter plots and regression...

Explore the difference between stochastic and deterministic modeling through programming. First have the class write algorithms for relatively simple tasks using pseudocode. Use the Python 2.7 program app to simulate Mendel's Pea Pod...

Your Algebra learners will explore what equations are functions or not functions and how to alter the domain to produce a possibility for the relations being a function with a limitted domain.

Build confidence by using multiple approaches to problem solving! This resource uses a visual and algebraic approach to solving application problems. A discussion is included about efficient approaches to different problems.

An interesting instructional activity on hypothesizing about the diameter of a drop of blood that is splattered. To test their theories, learners work in groups to make blood droplets splatter from different heights. They use graphed...

Learners practice using their knowledge of how to interpret a function and use function notation. The activity includes two questions. Given an input of a function and its output, the first question asks learners to write the ordered...

What is a chemist's favorite plant? Stoichiome Tree! Scholars produce hydrogen gas by reacting magnesium with hydrochloric acid. Then they calculate the molar volume of the gas produced before answering assessment questions. 

It's the law—every action requires a reaction, no matter how small. Pupils experience two demonstrations of Newton's third law of motion as it relates to thrust in the 10th segment of a 22-part unit on flight. Using their mathematical...

Abracadabra! Letters can be used in math to represent numbers with the operations of addition, subtraction, multiplication, and division to solve problems! Math magicians will participate in an activity that uses a calculator and a bag...

The best part of learning about equilibrium is that nothing changes. Young chemists observe four demonstrations during this instructional activity: equilibrium in a saturated solution, equilibrium with an acid-base indicator, equilibrium...

Avoiding lab safety rules will not give you super powers. The lesson plan opens with a demonstration of not following safety rules. Then, young chemists practice their lab safety while finding the mass of each item in a mixture and...

Parent functions and their combinations create unique graphical designs. Learners explore these relationships with a progressive approach. Beginning with linear equations and inequalities and progressing to more complex functions,...

Negative exponents can be tricky, but this resource makes a mathematical conundrum an easier concept to grasp by relating the concept of exponents to the amount of time a plant has been owned. Fifth, sixth, and seventh graders will...

Lost an electron? You should keep an ion them. Young chemists learn qualitative analysis in the second lesson plan of an 11-part chemistry series. After observing reactions of simple salts, the teacher provides pupils with unknown...

What did one titration say to the other titration? We should meet at the end point! Young chemists perform four experiments: dilute solution, neutralization, titration, and figuring pH/pOH. 

What better way to introduce the idea of a sequence than with robots! An educational activity explains the classic Fibonacci sequence before pupils build and program a robot to move. Additionally, the activity challenges individuals to...

If a can has a volume of twelve ounces, how tall it should be? If you can work with volume formulas, it's is an easy measurement to find. After finding the volume of figures in the previous lesson of the series, learners now...

What is absolute value? What is an absolute value function? Emerging mathematicians solve equations containing variables inside an absolute value sign.  They graph each function on a coordinate plane and identify the maximum and...

Hate to vacuum, but enjoy using a vacuum pump? Explore a instructional activity that starts with a demonstration of boiling water at various temperatures by using a vacuum pump. Then scholars design their own experiments to measure vapor...

Of course, there might be a correlation! Young mathematicians investigate several different data sets, create scatter plots, and determine any correlation. They consider whether a causation exists between any of the variables in question.