Radford University
Can I Create a Line/Curve of Best Fit to Model Water Drainage?
Learners collect data on the amount of water left in a bottle over time. They graph the data to determine whether the scatter plot shows a curved or straight relationship. Group members then determine an equation for the curve of best...
Curated OER
Writing and Graphing Linear Equations on a Flat Surface
In this linear equations worksheet, students write the equation of a line with given characteristics. They identify the slope of a line and the y-intercept. Explanations and examples are provided at the beginning of the worksheet. This...
Curated OER
Analytic Geometry
In this analytic geometry activity, 9th graders graph and solve 13 different types of problems that include determining whether equations are linear to matching given equations to their corresponding equation in the second column....
Curated OER
Equations and Inequalities
In this equations and inequalities learning exercise, 9th graders solve and complete 10 different multiple choice problems. First, they determine the equation of a line that has a given slope and contains a point. Then, students...
Curated OER
Algebra: Equations
In this algebra equations activity, 7th graders solve and complete 5 different problems that include balance scales. First, they complete each balance challenge by multiplying the given numbers. Then, students determine the number of...
Curated OER
How to Find the Equations of Parallel Lines
In this parallel lines worksheet, students determine equations of parallel lines and graph parallel lines. Examples, explanations, and solutions are provided.
EngageNY
Nature of Solutions of a System of Linear Equations
If at first you cannot graph, substitute. The lesson introduces the substitution method as a way to solve linear systems if the point of intersection is hard to determine from a graph. The 28th installment of a 33-part series finishes...
Virginia Department of Education
Line of Best Fit
Pupils work through a guided activity on fitting a linear equation to a set of data by entering the data into a calculator and trying to envision a line of best fit. They then have the calculator determine the least-squares line and...
Teach Engineering
Graphing Equations on the Cartesian Plane: Slope
Slopes are not just for skiing. Instructors introduce class members to the concept of slope and teach them how to calculate the slope from a graph or from points. The lesson also includes the discussion of slopes of parallel and...
EngageNY
Representations of a Line
Explore how to graph lines from different pieces of information. Scholars learn to graph linear functions when given an equation, given two points that satisfy the function, and when given the initial value and rate of change. They solve...
Georgetown University
Cup-Activity: Writing Equations From Data
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...
Curated OER
Graphing Linear Equations
In this Algebra I worksheet, 9th graders write the equation of a line given the slope and the y-intercept and determine the equation of a line given the graph. The five page worksheet contains twenty-eight problems. Answers are not...
Curated OER
Students Teaching Equations of a Line
Students are divided into groups and then each group is assigned a separate topic related to the equation of a line. Each group researches their topic and then they teach the rest of the groups about it.
Curated OER
Algebraic Equations
In this algebraic equations worksheet, 9th graders solve 10 different problems that include solving various types of algebraic equations. First, they determine the equation of a line and solve the absolute value of an inequality shown....
Curated OER
Slope and Intercept
In this slope and intercept worksheet, 10th graders solve 10 different problems that include the graphs of various forms of linear equations. First, they determine the slope of a line given the equation. Then, students determine if the...
Curated OER
Slope-Intercept Form of a Line
High schoolers determine how the slope affects the graph of a line. They relate "b" to the "y"-intercept of a line and solve the equation of a line given "m" and "b." They are given scenarios and possible answers to which they explain...
EngageNY
Characteristics of Parallel Lines
Systems of parallel lines have no solution. Pupils work examples to discover that lines with the same slope and different y-intercepts are parallel. The 27th segment of 33 uses this discovery to develop a proof, and the class determines...
Concord Consortium
The Line and the Ellipse
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...
EngageNY
The Computation of the Slope of a Non-Vertical Line
Determine the slope when the unit rate is difficult to see. The 17th part of a 33-part series presents a situation that calls for a method to calculate the slope for any two points. It provides examples when the slope is hard to...
Flipped Math
Calculus AB/BC - Sketching Slope Fields
Frolic through a field of slopes. Learners watch a video describing slope fields and how to create one. Scholars use given slope fields to determine the equation of a tangent line and the possible differential equation. Pupils continue...
EngageNY
Some Potential Dangers When Solving Equations
Need a less abstract approach to introducing extraneous solutions? This is it! Young mathematicians explore properties used to solve equations and determine which operations maintain the same solutions. They eventually find that squaring...
Yummy Math
Parametric Equations and a Heart
Trigonometry, art, and Valentine's Day come together in a creative activity about parametric equations. Learners calculate several equations before graphing them either by hand, on a graphic calculator, or Excel spreadsheet to curve...
Curated OER
Find the Equation of a Line
In this equation of a line learning exercise, 10th graders solve ten problems that determine locating the equation of a line. They first determine whether the given lines are perpendicular or parallel. Then students find the equation of...
Curated OER
Equation of a Line
In this equation of a line worksheet, 9th graders solve and complete 4 different multiple choice problems. First, they use the median fit method to determine the equation that most likely represents the line of best fit for the data...