There are many equations Algebra I students are not ready to solve. Graphing to solve gives them a strategy to use when they are unsure of an algebraic approach to solve the problem. The instructional activity exposes learners to a...

Intersections become solutions. Scholars watch a video on using a graphing calculator to find the solution to an equation in one variable. While watching the presentation, pupils practice working some of the examples and compare their...

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...

Expand on learners' understanding of quadratic-linear systems. Building on the graphic understanding developed in the previous lesson, pupils learn algebraic methods of solving the systems. 

Add more points on the graph ... and it still remains a line! The 13th installment in a series of 33 leads the class to the understanding that the graph of linear equation is a line. Pupils find several solutions to a two-variable linear...

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...

Now that learners figured out how to solve for one variable, why not add another? The lesson demonstrates, through examples, how to solve a linear system using graphing, substitution, and elimination.

Develop another way to find the equation of a line. The activity introduces the procedure to find the equation of a line given two points on the line. Pupils determine the two points from the graph of the line.

Help learners get their facts in line to build and solve complicated linear equations and inequalities. Pupils build upon their knowledge of solving basic equations and inequalities to solve more complex ones. Individuals work with...

It's raining (systems of) cats and dogs! The fifth unit in a nine-part course presents systems of equations and inequalities within the context of pets. Scholars use systems of inequalities to represent constraints within situations...

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. 

Determine what the class knows about linear equations. The three-question mid-module assessment is segment 15 in a 33-part series. The assessment includes writing and solving one-variable linear equations and graphing proportional...

Model the effects of practice on texting speed. Pupils develop a linear equation that models the change in texting speed based on the amount of practice. The sixth performance task in an eight-part series requires learners to solve...

To find x, you have to get it by itself, correct? Individuals solve a linear word problem and share their solutions with others that solved the problem in a similar fashion. They then complete a self-assessment on how they feel about...

What better way to learn graphing inequalities than through discovering your own method! Class members use a discovery approach to finding solutions to inequalities by following steps that lead them through the process and...

The brother-sister pair Carlos and Clarita need your class's help in developing their new pet sitting business. Through a variety of scenarios and concerns presented to the siblings, the learners thoroughly explore systems of equations...

Line up the temperature conversions. Pupils create the linear function between Celsius and Fahrenheit on a graph by plotting the freezing and boiling points of water. The scholars determine how the relationship changes based upon...

For this one variable inequalities learning exercise, middle schoolers circle the correct solutions, complete graphing problems, and solve for the variables. Students complete 37 problems.

Lets keep the system working and show learners the three ways to solve linear systems of equations. Each method includes step-by-step instructions to work their way through the problem. The same problem is used for each method to show...

Show your class that linear equations produce graphs of lines. The 20th segment in a unit of 33 provides proof that the graph of a two-variable linear equation is a line. Scholars graph linear equations using two points, either from...

Graph linear equations in standard form with one coefficient equal to zero. The lesson plan reviews graphing lines in standard form and moves to having y-coefficient zero. Pupils determine the orientation of the line and, through a...

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.

Graphing all kinds of situations in one and two variables is the focus of this detailed unit of daily lessons, teaching notes, and assessments. Learners start with piece-wise functions and work their way through setting up and solving...

Challenge the class to determine the equation of a line. The 21st part in a 33-part series begins with a proof that every line is a graph of a linear equation. Pupils use that information to find the slope-intercept form of the...