Virginia Department of Education
Rational Functions: Intercepts, Asymptotes, and Discontinuity
Discover different patterns by making connections between a rational function and its graph. An engaging lesson asks scholars to explore the behavior of different rational functions. Groups discover a connection between the function and...
EngageNY
The Line Joining Two Distinct Points of the Graph y=mx+b Has Slope m
Investigate the relationship between the slope-intercept form and the slope of the graph. The lesson plan leads an investigation of the slope-intercept equation of a line and its slope. Pupils realize the slope is the same as the...
Curated OER
Using Intercepts to Interpret Data
Students analyze data from a class read-a-thon. They graph equations using x- and y-intercepts and solve one and two-step linear equations.
Curated OER
An Introduction to Polynomial Functions
In this introduction to polynomial function worksheet, students classify, state the degree, find the intercepts, and evaluate polynomial functions. Six of the problems are true/false problems and thirty-eight and free-response problem...
Curated OER
Introducing y = mx + b
Middle and high schoolers use the slope intercept form to graph a line. In this algebra lesson plan, pupils rewrite equations from standard form to y-intercept form. They use the slope and y-intercept to graph a line without making a...
Curated OER
Equation of a Line
In this equation of a line worksheet, learners write the equation of a line given two points on the line or the slope and y-intercept. This two-page worksheet contains four equations.
Curated OER
Wind-Up Car
Students produce an equation from a graph, based on an engineering-context story provided. In this production of equations lesson, students write an equation given the graph and description. Students also describe what the y-intercept...
Curated OER
Intercepting Villans Using the Correct Rate
A Cyberchase video introduces the distance = rate x time equation. Participants then calculate answers to proposed problems and graph a series of results that is then incorporated into a game to help cement the concept. A thorough and...
Curated OER
More on Graphing Linear Equations
In this graphing worksheet, students graph linear equations, identify the x or y-intercept. Graph paper is provided below each equation. There are nine problems on this two-page worksheet.
Curated OER
Baseball Relationships - Using Scatter Plots
Students use graphing calculators to create scatter plots of given baseball data. They also determine percentages and ratios, slope, y-intercepts, etc. all using baseball data and statistics.
Curated OER
Getting Started with the TI-Navigator™ System: What's My Line?
Learners analyze linear functions in this algebra lesson. They explore the meaning of slope and the slope-intercept form of a line as they investigate the effect changing parameters on the graph of a linear function.
Curated OER
Graphing Rational Functions
Learners complete an activity, included, of the information on asymptotes and intercepts. They also solve and complete eight questions on graphing rational functions, file included. Finally, pupils summarize vertical asymptotes,...
Curated OER
Solving Quadratic Equations by Factoring
In this solving quadratic equations worksheet, 9th graders solve and complete 9 different types of problems. First, they graph each quadratic equation by factoring. Then, students find the axis of symmetry and the vertex. They also find...
Curated OER
Functions & Algebra
Young scholars examine linear equations. In this functions and algebra lesson, students write equations in the slope-intercept form. They enter data in a graphing calculator, examine tables, and write linear equations to match the data.
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...
Curated OER
Algebra I: Linear Functions
Using rates from a rental car company, young mathematicians graph data, explore linear relationships, and discuss the role of slope and the y-intercept. This lesson plan allows for the discussion of independent and dependent variables,...
Virginia Department of Education
Slope-2-Slope
Pupils build on previous experience with slope to investigate positive, negative, zero, and undefined slope. They complete a puzzle matching slope-intercept and standard forms of linear equations.
Curated OER
Exploring Equations and Y-Intercept
Students graph linear equations using intercepts, find y-intercept, find x-intercepts and graph linear equations that use horizontal and vertical lines.
Willow Tree
Graphing
So many methods and so little time! The efficient method of graphing a linear equation depends on what information the problem gives. Pupils learn three different methods of graphing linear equations. They graph equations using...
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...
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
Equal Differences Over Equal Intervals 2
Your algebra learners explore linear functions concretely using tables of values in a collaborative task. The idea that linear function values change by equal differences over equal intervals, is emphasized. The slope and y-intercept...
Curated OER
Analyzing Equations Through Slope and Y intercepts
Students analyze equations using the slopes and intercept. In this algebra lesson, students graph equations give the slope and y intercepts. They are also asked to identify the slope and y intercept from a given graph. They solve real...
Curated OER
Analyzing Equations Through Slope and Y intercept
Students analyze equations using the slope and y-intercept. In this algebra lesson, students identify the slope using a and the intercept using m. They graph linear equations based on the slope and intercept.
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