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

Linear equations are the focus of activities that ask learners to first complete a task that involves interpreting algebraic expressions and solving linear equations. They then take part in a card activity matching...

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...

Show learners how to apply rational equations to the real world. Learners solve problems such as those involving averages and dilution. They write equations to model the situation and then solve them to answer the question —...

Round and round we go. Learners first complete a task on writing equations of circles. They then take part in a collaborative activity categorizing a set of equations for circles based on the radius and center.

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 lesson exposes learners to a wide variety of...

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

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.

Use the value of a ratio to set up equations. The teacher leads a discussion on determining equations from ratio tables in the 13th portion of a 29-part series. Pupils determine which of two equations to use to find the solution....

What does completing the square have to do with circles? Math pupils use completing the square and other algebraic techniques to rewrite equations of circles in center-radius form. They then analyze equations of the form x^2 + y^2 + Ax +...

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.

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...

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...

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.

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...

Determine how cup stacking relates to linear equations. Pupils stack cups and record the heights. Using the data collected, learners develop a linear equation that models the height. The scholars then interpret the slope and the...

Tired of going around and around for a resource on circles? Scholars determine the general equation of a circle on a coordinate plane, then participate in an activity matching equations to the radii and centers of the circles...

Is the application of systems of equations giving your class headaches? Use this resource to build on your pupils' logic to lead them to building equations and using algebraic methods. The lesson begins with an exploration of...