Take steps into sequences. An 11-lesson unit builds upon pupils' previous understanding of writing expressions to develop the idea of sequences. The resource explores both arithmetic and geometric sequences using recursive and explicit...

What does translating points on a number line have to do with solving inequalities? Young mathematicians first learn about translations of points on a number line, and then use this information to solve linear inequalities in one variable.

Teach cube roots by building on an understanding of square roots. The third installment of a 25-part series asks learners to solve simple quadratic and cubic equations using roots. Scholars compare square roots and cube roots throughout...

Take a step beyond Algebra 2. Learners use the eBook to learn concepts from the typical Precalculus course. Content starts off with a short review of functions in general and moves on to the basic functions, finishing up with more...

Learnersare given 26 tables and graphs in which they must fill in missing numbers and graph equations. They subtract a given value of x from a constant number, and use a number line to subtract larger numbers from smaller ones resulting...

Challenge young scholars' understanding of thermochemistry with this skills-practice instructional activity on Hess's Law. Given a series of five multi-step chemical reactions, learners must determine the overall...

What are some basic features of functions? By looking at functions in graphs, tables, and equations, pupils compare them and find similarities and differences in general features. They use attributes such as intervals of...

Model the transfer of energy during a typical 24-hour period. Young scholars use a game-like approach to learning the patterns of heat transfer through the day and night. Groups of four exchange different tokens as the energy...

Collaborative groups utilize their knowledge of parent functions and transformations to determine the equations associated with graphs. The graph is then related to the scenario it represents. 

Learn how to represent functions in multiple ways. Learners analyze functions as equations, graphs, and verbal descriptions. The analysis includes intercepts, behavior, domain, and range. The module of seven lessons makes up the third...

Following detailed directions, teams collect the voltage and current outputs of a photovoltaic cell by adjusting the resistance. Using the collected data, they determine the highest power output. Implications for weather and a large...

How do scientists determine when a solution is fully saturated? Scholars address the topic as they observe patterns of precipitation in various concentrations of ions. Using a well plate, pipette, and common chemicals, they collect data...

Ever wonder why that computer image takes so long to load? Well, math is involved and provides the algorithms needed to compute the measure in nanoseconds. Young mathematicians plug the image measures into the formulas and compare the...

Students graph and solve quadratic equations. In this functions lesson, students analyze a quadratic equation using three points on a curve to define the graph of a quadratic function. They find the vertex and intercepts of the graph.

In this polynomial equations activity, students identify the number of complex roots, real and imaginary roots, and the number of positive and negative roots. This four page activity contains 18 multi-step problems. Answers to the...

In this division worksheet, students solve algebraic problems containing fractions. This one-page worksheet contains 11 problems. Answers are provided. This worksheet may be completed on-line or produced in printed form.

Think critically — and linearly by applying linear equations to solve real-world problems. Young mathematicians write equations to model the profit on popcorn and cotton candy at a carnival and solve problems using these equations.

Learners explore example problems dealing with ratios and proportions. Afterward, they read story problems and solve them using ratios and proportions. This four-page activity contains six multi-step problems.

In this derivative worksheet, students derive the equation of a plane containing given points. This one-page worksheet contains eight multi-step problems.

In this vector worksheet, students draw simple pictures, identify the positions of the vectors, write equations to describe vector location. This two-page worksheet contains four multi-step problems.

Pupils are introduced to the concept of proportions. In groups, they practice solving equations and identify the fraction and ratio as well. They complete a worksheet following the steps outlined to them to review the concept.

In this integral worksheet, students analyze equations using the gamma function. They sketch graphs of functions, and find the are between the graph and the x-axis. This two-page worksheet contains five multi-step equations.

In this function worksheet, students explain continuous and noncontinuous function and graph derivatives. This two-page worksheet contains seven multi-step problems.

In this differentiation worksheet, students determine the seconds of motion, identify the constant, and speed of movement. This two-page worksheet contains five multi-step problems.