In this domain and range activity, learners write the definitions for relation, function, domain and range. They then find the domain and range of 7 sets of ordered pairs. Finally, students answer 4 questions regarding inverse relations...

Students engage in a instructional activity that covers the concepts related to the graphing of hyperbolas looking at topics like foci, center, vertices, and asymptotes. They find multiple different points in the coordinate plain and...

In this algebra worksheet, students look at 4 sets of relations and determine if they are functions. Students are provided with the graphs of three functions and determine the function value. Two relations are graphed on the coordinate...

Use this graphing worksheet to have learners evaluate and graph linear equations. A coordinate plane, for graphing, is provided below each equation. This one-page worksheet contains seven problems.

Young scholars differentiate between linear and quadratic functions. In this algebra lesson, students write equations of graphs and graph a function from an equation. They also move the graph around on the coordinate plane.    

Learners are given a graph of a parabola on a coordinate system, but intercepts and vertex are not labeled. The task is to analyze eight given quadratic functions and determine which ones might possibly be represented by the graph. The...

Moving a house is hard work. Given a diagram of a row of houses, scholars determine a set of transformations that would map one house to the next. A second diagram with a coordinate plane helps with the task.

Translating complex numbers is as simple as adding 1, 2, 3. In the ninth lesson in a 32-part series, the class takes a deeper look at the geometric effect of adding and subtracting complex numbers. The resource leads pupils into what it...

Circles aren't functions, so how is it possible to write the equation for a circle? Pupils first develop the equation of a circle through application of the Pythagorean Theorem. The activity then provides an exercise set for learners to...

Understanding how functions transform is a key concept in mathematics. This introductory lesson makes a strong connection between the function, table, and graph when exploring transformations. While the resource uses absolute value...

Class members make a real connection to matrices in the 25th part of a series of 32 by looking at the identity matrix and making the connection to the multiplicative identity in the real numbers. Pupils explore different...

Function notation is like a code waiting to be cracked. Learners take the graph of an unknown equation and manipulate it based on three different transformation changes of the function equation. The final step is to look at three points...

Sixth graders interpret linear and nonlinear graphs. They create graphs based on a problem set. Next, they represent quantitive relationships on a graph and write a story related to graphing.

Elementary or middle schoolers use ratios to discover some nearly constant relationships between measurements of parts of the human body. They find and record pairs of measurements and determine the relationship between the pairs. Pupils...

Fifth and sixth graders practice working in pairs to determine whether they can walk with constant speed. They test themselves, collect their data, draw graphs with their data collected, manipulate the data, and then draw conclusions...

Use a graphing lines worksheet to have your mathematicians graph the line of a given equation and plot specified points. The first 10 problems have a given equation, and two values. The next 10 problems have a given equation, but your...

In this slope of a line worksheet, students solve and graph 2 different problems that include determining the slope of a line using the equation y=mx+b. First, they define the slope of a line and the y-intercept. Then, students use the...

Jim and Jesse started their road trip with the same amount of money. Your class must find the amount of money each one had given, the amount of money spent, and the ratio of money at the end. This is a comprehensive problem that...

Don't be a square! Young mathematicians determine the slope and length of a line segment. They then prove whether four given coordinate points form a square.

Step up to learn about step functions. The lesson, designed for high schoolers, first covers piecewise functions and how to draw their graphs. It then introduces step functions, including the greatest integer (floor) and...

How can we use vectors to determine a person's position when traveling? The simulation offers guided practice at determining the coordinates and the distance between coordinates on a map grid. It reinforces the importance of positive...

Is there more to college algebra than this? Even though the eBook is designed for a college algebra course, there are several topics that align to Algebra II or Pre-calculus courses. Topics begin with linear equation and inequalities,...

Go for a walk in the mall. Pupils find distances between stores on a diagram of a mall on Quadrant I. The scholars also determine the midpoint between a store and an entrance to the mall to then create their own paths and determine their...

Context is the key to understanding slope. A real-world application of slope uses a weight loss scenario with a constant rate of change to introduce the concept of slope of a line, before it makes a connection to the ordered pairs...