EngageNY
There is Only One Line Passing Through a Given Point with a Given Slope
Prove that an equation in slope-intercept form names only one line. At the beginning, the teacher leads the class through a proof that there is only one line passing through a given point with a given slope using contradiction. The 19th...
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...
Virginia Department of Education
Graphing Linear Equations
Combine linear equations and a little creativity to produce a work of art. Math scholars create a design as they graph a list of linear equations. Their project results in a stained glass window pattern that they color.
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...
Mathematics Assessment Project
Classifying Equations of Parallel and Perpendicular Lines
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...
EngageNY
Solution Sets to Equations with Two Variables
Can an equation have an infinite number of solutions? Allow your class to discover the relationship between the input and output variables in a two-variable equation. Class members explore the concept through tables and graphs and...
02 x 02 Worksheets
Absolute Value Equations and Inequalities
Demonstrate the meaning of an absolute inequality using three different methods. Here, scholars explore absolute value inequalities through graphing, number line distance, and compound inequalities. Pupils complete various activities to...
EngageNY
Two Graphing Stories
Can you graph your story? Keep your classes interested by challenging them to graph a scenario and interpret the meaning of an intersection. Be sure they paty attention to the detail of a graph, including intercepts, slope,...
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...
Inside Mathematics
Vencent's Graphs
I like algebra, but graphing is where I draw the line! Worksheet includes three multiple-part questions on interpreting and drawing line graphs. It focuses on the abstract where neither axis has numbers written in, though both are...
EngageNY
Solution Sets for Equations and Inequalities
How many ways can you represent solutions to an equation? Guide your class through the process of solving equations and representing solutions. Solutions are described in words, as a solution set, and graphed on a number line....
West Contra Costa Unified School District
Exploring Quadratics and Graphs
Young mathematicians first graph a series of quadratic equations, and then investigate how various parts of the equation change the graph of the function in a predictable way.
EngageNY
Graphs of Exponential Functions and Logarithmic Functions
Graphing by hand does have its advantages. The 19th installment of a 35-part module prompts pupils to use skills from previous lessons to graph exponential and logarithmic functions. They reflect each function type over a diagonal line...
EngageNY
Modeling Relationships with a Line
What linear equation will fit this data, and how close is it? Through discussion and partner work, young mathematicians learn the procedure to determine a regression line in order to make predictions from the data.
Mathematics Vision Project
Equations and Inequalities
Help learners get their facts in line to build and solve complicated linear equations and inequalities. Pupils build upon their knowledge of solving basic equations and inequalities to solve more complex ones. Individuals work with...
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
Equation of a Line
In this equation of a line learning exercise, 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...
Curated OER
Algebra I - Worksheet G12: Graphing Lines
In this graphing lines worksheet, students graph 28 lines given various data. Students graph lines given two points, a point and slope, and a line perpendicular or parallel to a point.
Curated OER
Finding Equations From Graphs
In this equations from graphs instructional activity, 9th graders solve and graph 10 different problems that include determining the actual equation for each. First, they determine the slope and y-intercept for each graph shown on the...
Curated OER
Writing Linear Equations
In this Algebra I/Algebra II worksheet, students examine linear equations to determine the slope and y-intercept and write the equation of the line given the pertinent information. The one page worksheet contains a combination of seven...
Curated OER
Slope-Intercept Form of a Line
Students 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 why or...
Curated OER
Linear Equation Experiments
In this linear equation activity, students solve and complete 2 different experiments that include using linear equations. First, they determine the difference between independent and dependent variables. Then, students graph their...
Curated OER
Chapter 2.4 - Writing Linear Equations
In this slope-intercept worksheet, students solve 18 problems in which they find the slope-intercept and y-intercept of a graph given an equation, find the equation given a point and the slope-intercept, and find the equation of a...
Curated OER
Math A Regents Questions: Points on a Line
In this linear equations worksheet, students solve 3 multiple choice problems. Students determine if a given point lies on a line given an equation of that line.