Why do I have to learn two different ways to solve linear-quadratic systems? Isn't one way enough? Learners first investigate the three possible situations for linear-quadratic systems (two, one, or zero solutions), then solve such...

The plot thickens to get a functional understanding. After a short review of plotting points on the coordinate plane, class members learn the difference between functions and relations in the second lesson in a series of nine. They...

Before graphing and finding distances, learners investigate the coordinate plane and look at patterns related to plotted points. Points are plotted and the goal is to look at the horizontal and vertical distances between coordinates and...

Use a one-stop resource for everything you'd possibly want to teach about quadratic functions and models. Scholars analyze key features of quadratic functions as well as transformations of functions through seven activities....

The concept of slope gets an approachable, yet theoretical, treatment in a comprehensive algebra lesson. The use of functional notation and problem-solving techniques keep the material rigorous, but detailed teaching notes and lots of...

Carryout the instructional activity to determine the cost of pizza toppings from a Domino's Pizza® website while creating a linear model. Learners look through real data—and even create their own pizza—to determine the cost of each...

Can you mix two liquids to make a solid that is insoluble? Yes, you can, and pupils see this as the lesson uses more than one combination of liquids to form a solid. Through two teacher demonstrations and a hands-on activity,...

Zero in on your pupils' understanding of solving quadratic equations. Spend time developing the purpose of the zero product property so that young mathematicians understand why the equations should be set equal to zero and how that...

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,...

Use this resource to present your number crunchers with how to write a constraint equation and to determine viable solutions. The price of an object limits the amount that can be purchased. The speed at which you walk limits the number...

Pupils work through a guided activity on fitting a linear equation to a set of data by entering the data into a calculator and trying to envision a line of best fit. They then have the calculator determine the least-squares line and...

Many organizations put on barbecues in order to make money. In a real-world math problem, the money allotted to purchase steak and chicken at this barbecue is only one hundred dollars. It is up to your potential chefs to figure out how...

Use everything you know about quadratic equations to solve polynomial equations! Learners apply the Zero Product Property to factor and solve polynomial equations. They make a direct connection to methods they have used with quadratic...

What is the connection between the quadratic formula and the types of solutions of a quadratic equation? Guide young mathematicians through this discovery as they use the discriminant to determine the number and types of solutions,...

Where did that formula come from? Lead pupils on a journey through completing the square to discover the creation of the quadratic formula. Individuals use the quadratic formula to solve quadratic equations and compare the method to...

During a walk-a-thon your learners must determine the walking rate of Julianna's progress. Using tables, graphs, and an equation, they must be able to calculate the time it took her to walk one mile and predict her distance based on the...

How does inflation affect the economy, and how can effective monetary policy by the Federal Reserve help control inflation? With the Fisher equation and analysis of annual CPI rates during the 1970s and early 1980s, your...

Introduce your class to the federal tax system through an algebraic lens. This resource asks pupils to examine the variable structure of the tax system based on income. Young accountants use equations, expressions, and inequalities to...

All too often stores give coupons for an item, but when you go into buy it, the item is on discount.  The store won’t take the coupon if the discount is used. So what do you do, use the coupon or take the discount? This activity...

This instructional activity begins with a review of linear functions and segues nicely over its fifteen examples and problems into a deep study of exponential functions. Linear and exponential growth are compared in an investment task....

Model for your young mathematicians the process for converting repeating decimals to fractions. To demonstrate their understanding of the process, class members then complete and assessment task and participate in an activity matching...

Model for your learners that if they can solve an equation, they can rearrange a formula with a well-planned lesson that has plenty of built-in practice. As the lesson progresses the content gets progressively more challenging.

Investigate the relationship between the slope-intercept form and the slope of the graph. The lesson plan leads an investigation of the slope-intercept equation of a line and its slope. Pupils realize the slope is the same as the...

The Henderson-Hasselbalch equation combined logarithmic terms with the application of carbonic acid as a buffer solution. Scholars learn investigate equation and its applications through hands-on experiments. They collect data and...