Create number sentences and equations to solve geometric problems. Each activity in the series of five asks young mathematicians to consider different-sized tiles to build structures according to specific criteria. The first activities,...

How can baseball and skeet-shooting be modeled mathematically? Sports lovers and young mathematicians learn how to use quadratic equations and systems of equations to model the flight paths of various objects.

Here is a real-world application for systems of equations. When is it better to pay an enrollment fee and lower daily rate, and when is it better to pay the regular price? The local swim center is having a special offer, reductions in...

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...

Can you hear me from there? Pupils determine the place to build a cell tower on a hill. The class uses constraints and creates a scale drawing on a coordinate system to calculate the exact location of the base of the cell tower.

Two vehicles move at a constant rate of speed toward each other, but when exactly will they pass? Pupils use still images from a video to determine the rate of speed and when the two cars meet. Then, they watch the complete video to...

Between 2000 and 2017, the cost of potatoes more than doubled in the United States. Pupils use the total cost of two types of potatoes to solve for the number of pounds of each type of potato. Then, they determine if the kitchen scale...

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...

Have you ever wanted to download a great lesson, but you weren't sure if you had enough time? Scholars learn to create a function for this situation to determine when a file will finish downloading. They also learn the difference between...

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...

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...

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.

Why is the weather man wrong so often? Young climatologists discover how chaos rules both weather and climate through a math-based activity. Using an iterative equation, the class examines how small day-to-day weather events total up to...

Determining the number of solutions is an important stepping stone to higher math. In this case, the resource asks algebra pupils to find a second linear equation for a certain solution of a system. When one is asked for a linear...

Evaluate patterns of numbers through an engaging task. Scholars work collaboratively to determine a general rule reflecting the sum of consecutive positive integers. Multiple patterns emerge as learners explore different arrangements.

Teach solving absolute value inequalities through inquiry. Groups use their knowledge of absolute value and solving inequalities to find a solution set to an absolute value inequality. Working collaboratively encourages discussion,...

This lesson gives numerous word problems with thier solutions for problems with systems of equations. Go to the third problem on the lesson, about half way down the page to find a problem with a quadratic system.

Here is a site that clearly and thoroughly explains how to solve word problems that lead to systems of equations, such as mixture, coin, investment, and upstream/downstream problems. There are example problems solved, problems for the...

This lesson provides basic instruction on the major concepts in algebra. Content includes a focus on fractions, units of conversion, complex numbers, quadratic equations, factorization and roots of polynomials, solving equations, systems...

Learn to use the TI-86 to solve many types of equations by following this lesson plan and activity. Included are keystroke instructions and calculator screenprints to guide students.

This lesson is a review of problems with systems of inequalities. Many of the questions involve real world scenarios as word problems which the reader must decipher and resolve.