What would your dream house look like? A cottage? A medieval castle? High schoolers enrolled in Algebra design the perfect house while using slopes to write equations for various aspects of the project.

Turn your classroom into a local cell phone store. Then, have your cell phone agents use linear equations to visually display three cell plans and their advantages. It makes for a great group project. Discuss how to decide which plan is...

Teach solving for unknowns through a problem-solving approach. The grouping of five lessons progresses from finding an unknown through simple reasoning to solving simultaneous equations involving three and four variables. Each lesson...

Solve a complex business puzzle by building a linear programming model. An engaging project-based learning problem has classes examining transportation costs and manufacturing limitations from several plants. Ultimately, they use their...

It's the stairway to learning! Scholars research all aspects of building a staircase. Using information from building codes, they write and graph a system of inequalities to analyze the constraints. The completed project is a scale model...

One, two, or zero solutions—quadratic systems have a variety of solution possibilities. Using the parent function and the standard form of the function, learners describe the values of a, b, and c that produce each solution type. They...

What's in a triangle? Just 180 degrees worth of angles! Young learners use given angle relationships in a triangle to write an algebraic representation. Using a system of equations, they simplify the equation to a linear representation.

Math really is just one big puzzle waiting to be solved. Show learners that math can be intriguing and provide them with visually engaging problems and puzzles. The focus is on solving simple equations and looking at expressions. 

Chase the traveling solution. Pupils analyze the solutions to a system of linear equations as the parameter in one equation changes. Scholars then use graphs to illustrate their analyses.

Students work to complete various algebraic equations using different methods. Given a word problem, students create a poster identifying the various parts of the equation as well as the solution to the problem. Posters are presented...

Decide on the most efficient plan to supply drinking water. The second project-based learning task in a two-part series builds upon the first project. Pupils revisit the wells to supply drinking water, but they must make sure the...

Design a plan for finding the best health insurance for your money. Learners compare two health plans by writing and graphing piecewise functions representing the plan rules. Using Excel software, they create a technical report...

Instructions for series of six activites, a reading of scientific literature, and a choice of six assessments await you in this physics resource. Well-written plans guide you in guiding your pupils to experiment with levers, pulleys,...

Tell the story of the math. Given a graph of a linear system, learners write a story that models the graph before crafting the corresponding functions. Graphs intersect at an estimated point, allowing for different variations in the...

We seem to keep missing each other. A short task provides pupils with a quadratic function, as well as a linear function with a missing coefficient. They must determine the value of the coefficient for which the graphs do not intersect.

Don't just go through the steps to solve an algebraic equation, show learners how to balance an equation with visual models. The packet introduces the idea of mobile balances to reinforce the idea that both sides must match to make the...

Make an informed decision when choosing a medical insurance provider. An engaging lesson asks your classes to write piecewise models to represent the cost of different medical plans. The project-based learning activity is a variation of...

If I want to build up my heart, where should I start? Science scholars use statistics in a sports physiology setting during an insightful experiment. Groups measure resting and active heart rates and develop a scatter plot that shows the...

A matrix is just a fancy way of making a table. Young scholars explore operations with matrices with the first lessons in the final module of a 10-unit Algebra II series. After adding, subtracting, and multiplying matrices, pupils use...

Make the most of your prom—with math! Pupils write and use a quadratic model to determine the optimal price of prom tickets. After determining the costs associated with the event, learners use a graph to analyze the break even point(s).

Combine algebraic and geometric strategies to find solutions. The task asks learners to find the coordinates of a third vertex of a triangle to create a triangle with a specific area. The project is a set of seven problems that...

Introduce the concept of matrices with a pre-designed instructional activity. Learners watch video lessons to learn the ins and outs of adding, subtracting, and multiplying matrices. Using provided problems, they practice each operation...

In this projection worksheet, students explore the intuition behind projections. They calculate the length using the norm and find the projection of a vector. This two-page worksheet contains approximately five problems.

Bring some concrete reasoning to the skills of multiplying and combining terms. Using various strategies, the six activities in the module provide practice for the skills of adding, subtracting, multiplying, and diving polynomials. The...