What do a line and an ellipse have in common? Maybe zero, one, or two points! Learners consider the equation of an ellipse and a line to determine if their graphs have any shared points. They then write a system of equations, including...

Students linearize data to determine if an exponential model is suitable. In this linearizing data to determine if an exponential model is suitable lesson plan, students graph the residuals of sets of data that appear to have an...

Learners investigate the differences between linear and exponential models.  In this linear and exponential models lesson, students make a table of given data.  Learners determine if the data is linear or exponential by...

Define rays and half planes, including the concepts of boundary lines and prerequisite knowledge of coordinate planes. Given linear inequalities in one and two variables, your class will compare the differences. They will also graph...

What do guitars, candles, and helicopters have in common? They're all in this resource. Learners complete an assessment task to determine the amount of profit made in a guitar class based on given information regarding variable...

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...

A jam-packed worksheet has all the topics you would teach in an Algebra II class with a variety of question styles. Starting with function notation and ending with geometric sequences, there really is something for everyone. Each...

Let's get the herd to follow the rules. The activity associated with the second lesson in the unit introduces the class to the definition of a function. Individuals must gather in groups of zebras and rhinos defined by the general...

Working in small groups and in pairs, classmates build an understanding of what types of relationships can be used to model individual scatter plots. The nonlinear scatter plots in this lesson plan on relationships between two numerical...

It's all about lines when going around. Pupils graph the relationship between the length of a side of a square and its perimeter. Class members explain the origin in context of the side length and perimeter. They compare the graph to the...

Focusing on this algebra lesson, learners relate quadratic equations in factored form to their solutions and their graph from a number of different aspects. In some problems, one starts with the original equation and finds the...

In this difference of equations learning exercise, students solve and complete 49 various types of problems. First, they obtain the solution of any linear homogeneous second order difference equation. Then, students apply the method of...

Students explore functions, function rules, and data tables. They explore terms of linear functions. Students use computers to analyze the functions. Students write short sentences to explain data tables and simple algebraic expressions.

Tenth graders study graphing exponential functions. In this transformations instructional activity, 10th graders apply inquiry to determine how changes to a parent function affect its graph. Students analyze transformed graphs and...

Students graph lines using the slope and y-intercept. In this algebra instructional activity, students create data using tables and equations. They use their data to make predictions and draw conclusion.

Learners explore the concept of piecewise functions. In this piecewise functions lesson, students graph piecewise functions by hand and find the domain and range. Learners make tables of values given a piecewise function. Students write...

Writing a general rule to model a specific pattern is a high-level skill. Your classes practice the important skill as they write rules describing the solutions to a system of equations with variable coefficients. As an added challenge,...

How many intersections can two absolute value functions have? Young scholars consider the question and then develop a set of rules that describe the number of solutions a given system will have. Using the parent function and the standard...

This lesson introduces the idea of slope and defines it as a numerical measurement of the steepness of a line. Pupils then use the definition to compare lines, find positive and negative slopes, and notice their definition holds for...

Using three set of data that relate temperature to another variable, 10th graders will use graphs, tables, or equations to make predictions about data. Students will identify the relations as linear or non-linear. Students will define...

Rewrite a quadratic function to easily see the transformations involved. The instructional task takes a general quadratic function and rewrites it into a form that shows the translations and scaling of the parent quadratic function. The...

Students examine functions and function notation. They use computer activities to discover how to graph functions, and conduct a vertical line test. Students describe spatial relationships using coordinate geometry.

Students solve equations. For this algebra lesson, students relate solving equations to a balanced scale. They add, subtract, multiply and divide on both sides to keep the scale balanced.

Students examine the relationship between two equations. For this algebra lesson, students investigate linear and non-linear relationships between two equations. They discuss functions of graphs, tables and equations by making...