Scholars first complete an assessment task on writing linear equations to model and solve a problem on a running race. They then take part in a card matching activity where they match equations and graphs of lines to diagrams of fluid...

Solving problems about pen and paper with systems of equations ... or is it the other way around? In the lesson, learners first interpret expressions and use equations in two variables to solve problems about notebooks and pens. They...

What do fractions and rational expressions have in common? Everything! Learners use common denominators to solve rational equations. Problems advance from simple to more complex, allowing pupils to fully understand the material before...

Graphing doesn't need to be tedious!  When pupils understand key features and transformations, graphing becomes efficient. This instructional activity connects transformations to the vertex form of a quadratic equation. 

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.

Different equations, same solution. Scholars first find a system with equations y1 and y2 that have a given solution. They then find a different system with equations y3 and y4 that have the same solution. The ultimate goal is to...

Learning how a bank account works is a useful tool. The exercise in the resource is to deduct rent from a checking account and create an equation from a description. Participants then graph the balance of the bank account versus months...

Quadratic solutions come in all shapes and sizes, so help your classes find the right one! Learners use the quadratic formula to find solutions for quadratic equations. Solutions vary from one, two, and complex. 

Identify the identity. Learners first solve equations to find the number of solutions. Scholars then determine if given equations are always, sometimes, or never true, leading to the concept of identities.

class members first work through finding the equation, table of values, graph, and key features of a linear function expressed verbally. Individuals then work through several more problems given different representations.

How are systems related? Build on your pupils' previous knowledge of solving systems of equations by introducing systems of inequalities. Learners explore similarities between systems of equations and inequalities to make a strong...

So many different ways to solve equations, so little time! Scholars learn how to solve equations with variables on both sides by using several different methods. They apply bar models, decomposition, and traditional algebraic methods to...

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...

An equation is an equation is an equation. Scholars see there are many ways to solve them when they first sort a set of linear equations as written in standard form, point-slope form, or slope-intercept. They then write equations in all...

Learning to break apart numbers into smaller pairs is a critical step young mathematicians take as they develop their number sense. To practice this skill, children are provided with sets of three numbers and are asked to pick the two...

Learners demonstrate their knowledge pictorially, concretely, and abstractly in this unit meant to last three hours over three days. Using hands-on activities, manipulatives,  real-world applications, and problem...

Describing a line using an algebraic equation is an essential skill in mathematics. The previous lesson in the series challenged learners to determine if segments are perpendicular with a formula. Now they use the formula to...

Scholars first complete an individual assignment using a quadratic equation to model the movement of a bus around a corner. Learners then discuss their solutions with classmates and analyze the provided sample responses.

Algebra and geometry are not interchangeable. Demonstrate why not with a series of problems that deal with the equations of circles and equations of lines that meet specific criteria. 

Parallel parking might be difficult, but finding parallel lines is fairly simple. In this lesson, learners first complete an assessment task involving parallel and perpendicular lines in the coordinate plane. Individuals then take part...

0/0 doesn't equal 0! Begin this lesson by allowing the class to explore the concept of dividing by zero. The introduction allows for discovery and provides meaningful examples of dividing by zero. This understanding leads to solving...

Find Pythagorean Triples like the ancient Babylonians. The resource presents the concept of Pythagorean Triples. It provides the system of equations the Babylonians used to calculate Pythagorean Triples more than 4,000 years ago. Pupils...

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...

Need a solving quadratic equations with factoring instructional activity? Here it is! A page worth of problems all with a leading coefficient of 1 gives your class a beginners level approach to the topic.