In this scatter plots worksheet, students solve and complete 4 different problems. First, they use the table shown to model the relation with a scatter plot and trend line and to predict the value of a variable when given the other...

Students use physical models and graphs in order to solve problems that have their origin in the real world that require algebraic thinking. The words are changed into equations and inequalities in order to be solved. This requires...

Students compare the language of algebra to a foreign language. They play the game "Pictionary" to emphasize that pictures can represent words. After writing definitions and discussing the meaning of variable expressions, students, in...

In this function and graph worksheet, students read and interpret maps and graphs. They write an equation, define variables and solve the equation. Students solve diamond problems and use the distributive property to solve equations. ...

Students read real world problems, determine the variables, and set up the function using algebraic statements. After entering data into the graphing calculator, they display information in the form of graphs and scatter plots. ...

Second graders are exposed to algebraic thinking by exploring the concept of a variable. They tell how many years have passed since they've seen a favorite teacher and then examine how they arrived at this number. They write equations.

Students evaluate the equations that each variable is a function of time. They differentiate each expression with a comparison to the variable of t.

In this complete the square worksheet, students complete the square for equations with variables. Students complete the square for 10 problems.

In this homogeneous and general solutions worksheet, learners solve and graph 4 different types of equations related to particular solutions. They determine the general solution to each of the 4 homogeneous equations and the solution of...

In this null space activity, learners solve 5 different problems that are related to null space and the general solution of an equation. First, they find a solution to the given equation given that Ax=b. Then, students verify the...

In this equations of a line worksheet, 9th graders solve 10 different problems related to solving for the equation of a line as stated. First, they draw the line that is described in each statement. Then, students determine the line that...

In this solving for the unknown worksheet, 11th graders solve 10 different equations that include determining the unknown variable in each one. First, they set up the equations so that the insides are equal to each other. Then, students...

Ninth graders identify and describe the x-intercept as the place where the line crosses the x-axis as it applies to football. They create their own differentiations to reinforce the distinction between the x-intercept and the...

In this linear and quadratic equations instructional activity, 9th graders solve 10 different problems related to various linear and quadratic functions. First, they determine the value of a variable by equating linear and quadratic...

Students use the Geometer's Sketchpad to illustrate possible answers to a parallelogram problem. As a class, they discuss the point-slope and linear equation forms. Individually, students solve their equations and check the results on...

In this Cramer's Rule worksheet, students first evaluate five determinants or square matrix. Then they solve the last five problems by applying Cramer's Rule. Students identify and define Cramer's Rule as a theorem used with linear...

In this factoring activity, 9th graders solve and complete 24 different problems that include multiplying and factoring various equations. First, they multiply the listed equations and apply the distributive property when needed. Then,...

Seventh graders translate word problems into numerical expressions. Through guided practice, 7th graders discover how to take the information contained in a word problem and create a numerical expression using variables. They...

In this systems of equations worksheet, students use the elimination method to solve systems of equations. An example and explanation is given at the beginning of the worksheet. This one-page worksheet contains ten problems.

Students solve systems of equations. In this algebra instructional activity, students identify the domain and range of each function. They use the slope and y-intercept to graph each line.

In this math worksheet, students solve systems of equations using the elimination or substitution method. There are five problems on this one-page worksheet.

Eighth graders extend their learning of graphing linear equations and are introduced to connecting patterns in tables and graphs to represent algebraic representations. They then determine patterns and extrapolate information from these...

In this math worksheet, students find the solutions to the differential equations. They also investigate the application of recognizing the parts of the equation.

In this math worksheet, students review integrating factors for linear equations. Then they read about the definition and solving of homogeneous equations.