Give your classes practice at modeling using quadratic models with a resource that uses area and integer problems to allow individuals to create second degree polynomials. Young mathematicians solve equations using factoring and then...

Help pupils to determine whether using square roots is the method of choice when solving quadratic equations by presenting a lesson that begins with a dropped object example and asks for a solution. This introduction to solving by...

This activity gets at the heart of algebraic reasoning and setting up equations with one variable to solve real-world problems. The worksheet has only one problem, but it requires that learners first use their own reasoning...

Positive or negative, zero or no solution, are all possibilities for the solution of a linear equation. Here the resource gives examples of linear equations in one variable and their type of solutions. The resource comes with commentary...

Can an equation have an infinite number of solutions? Allow your class to discover the relationship between the input and output variables in a two-variable equation. Class members explore the concept through tables and graphs and...

Creating equations with one variable  to solve real-world-type problems is a key skill any algebra learner needs to master. Here the focus is on realizing that one can write the equation in different ways depending upon how one...

The risk of contracting an infection in the hospital is low, but it does happen. Learn what risk factors have the highest correlation with hospital-acquired infections in the final lesson plan of a three-part series. Using the open...

Do your pupils truly understand inverse operations, or is their understanding a little backward? Scholars learn the meaning of an equation in the second instructional activity of a four-part Algebra series. A series of activities...

Round and round they go ... where they stop, only scholars will know. By writing systems of equations, classes determine the number of cars a roundabout can handle given specific constraints. Systems use up to six variables and become...

Introduce the inverse matrix method to solve systems of linear equations both algebraically and graphically. Using given data, your class checks their answers with graphing calculators. Handouts are included in this well-thought out lesson.

Can you justify that mathematically?  Help learners see the process of solving as using mathematical properties rather than a set of steps to memorize in the fourth module of a nine-part Algebra I series. The module contains six...

Explore the graphs of functions and equations with a resource that teaches scholars how to graph functions as a set of input-output points. They learn how the graph of a function is the graph of its associated equation.

Explore methods for solving linear systems with your classes and introduce learners to using matrices as a viable method. Scholars are able to recognize situations where matrices are the efficient method of solving. Application...

Often inequalities exist in many real-world contexts but young math learners struggle with understanding how to represent that relationship in a simple equation using an inequality. This activity focuses on the basic concepts by using...

Your algebra learners analyze the value of an algebraic expression to decide if it will increase, decrease, or stay the same when one variable is changed as the others stay constant. Their collaborative efforts culminate with a written...

Put all that algebra learning to use! Using algebraic strategies, learners solve three-variable systems. They then use the three-variable systems to write a quadratic equation given three points on the parabola.

What do you get when you cross a circle and a line? One, two, or maybe no solutions! Teach learners to find solutions of quadratic and linear systems. Connect the visual representation of the graph to the abstract algebraic methods. 

Teach solving equations through an exploration of properties. Before pupils solve equations they manipulate them to produce equivalent equations. The activity switches the focus from finding a solution to applying properties correctly.

Explore mathematics by analyzing images. As they view pictures on the SMART Board, individuals must write corresponding algebraic equations. They utilize models to visualize the math expressions.

Represent linear equations in both two and three dimensions using parametric equations. Learners write parametric equations for linear equations in both two and three variables. They graph and convert the parametric equations to...

What a great classroom resource! The intention of this lesson is to show that real-world math can and should be applied to the community in which your students reside. The class relates properties of equations to solving for species...

Systems of equations and inequalities model contextual situations. A set of 12 lessons build a solid understanding of writing and solving systems of equations and inequalities using a variety of methods. The module is the fifth in a...

Variables can vary in meaning. A reference material for AP® Statistics explains the difference between random and algebraic variables. It provides a hypothetical situation involving dice—great for use in a classroom situation.

Demonstrate the abstract process of solving equations by using algebra tiles as a concrete representation. Scholars begin by solving equations through the use of manipulatives. As they gain more confidence, they progress to...