EngageNY
Every Line is a Graph of a Linear Equation
Challenge the class to determine the equation of a line. The 21st part in a 33-part series begins with a proof that every line is a graph of a linear equation. Pupils use that information to find the slope-intercept form of the equation...
EngageNY
The Graph of a Linear Equation—Horizontal and Vertical Lines
Graph linear equations in standard form with one coefficient equal to zero. The lesson plan reviews graphing lines in standard form and moves to having y-coefficient zero. Pupils determine the orientation of the line and, through a...
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...
EngageNY
The Graph of a Linear Equation in Two Variables
Add more points on the graph ... and it still remains a line! The 13th installment in a series of 33 leads the class to the understanding that the graph of linear equation is a line. Pupils find several solutions to a two-variable linear...
Mathed Up!
Scatter Graphs
Make an estimate by getting in line. The class works with scatter plots and lines of best fit to make an estimate for given values. Pupils determine whether there is a positive or negative correlation and draw a best-fit line. Using the...
Mathematics Assessment Project
Comparing Lines and Linear Equations
Scholars first complete an assessment task on writing linear equations to model and solve a problem on a running race. They then take part in a card matching activity where they match equations and graphs of lines to diagrams of fluid...
Charleston School District
The Line of Best Fit
If it's warm, they will come! Learners find a line of best fit to show a relationship between temperature and beach visitors. Previous lessons in the series showed pupils how to create and find associations in scatter plots. Now, they...
Del Mar College
All About Lines
This resource should be called "All About Lines, and Then Some!". Packed full of all the key components of linear functions, learners review how to set up different equations, find intercepts, and graph. All the main topics are included...
Curated OER
Number Sense and Operations
In this number sense and operations worksheet, students solve 15 different problems that include number lines and identifying various types of numbers. First, they solve a given equation and then check their work. Then, students find the...
Virginia Department of Education
Solving and Graphing Inequalities
You can't go wrong with a lesson that involves candy! Learners solve and graph one-variable inequalities and use candy to graph the solution. Individuals associate open circle graphs with life savers and closed circle graphs with round...
Curated OER
Integers and the Number Line
In this integers and number line worksheet, students complete 10 problems by naming the set graphed. Students graph 6 number sets. Then students answer 6 sum problems.
Curated OER
Integers and the Number Line
In this integer and number line learning exercise, students in 6 problems name the graphed set of numbers. Students then graph 8 number sets.
Curated OER
Graphing Inequalities
In this graphing inequalities worksheet, students solve and graph 10 different problems that include various inequalities. First, they study each of the examples given. Then, students graph the remaining equalities and inequalities as...
Curated OER
Solving Inequalities and Graphing on a Number Line
Students review solving equations. They solve an inequality and discuss how to graph it. Students work together on one inequality and then graph two on their own. This lesson contains links to a PowerPoint and a worksheet.
Illustrative Mathematics
The Intersection of Two Lines
Here is an introduction to solving simultaneous linear equations. Start by drawing a line through two points. Create a second line which goes through the intersecting point. Background knowledge of how to find the equation of a line and...
Curated OER
Line of Best Fit
In this line of best fit worksheet, students solve and complete 8 different problems that include plotting and creating their own lines of best fit on a graph. First, they study the samples at the top and plot the ordered pairs given on...
Curated OER
Introduction to Graphs: Bar Graphs, Line Graphs, Circle Graphs
In this graphing data worksheet, students answer 5 short answer questions about graphs. Students determine which type of graph best represents various data sets.
Curated OER
Creating Line Graphs
Students relate data to coordinate graphs and plot points on this graph. They use minimum wage data to construct the graph. Students decide appropriate time intervals for the graphs. They share graphs with their classmates.
Gatsby Charitable Foundation
Four Activities Using Straight Line Graphs
This math packet includes four different activities which puts linear equations and line of best fit in the context of real world applications. Each activity uses a different linear math modeling equation and asks the learners to...
Curated OER
Interval Notation and Linear Inequalities
In this interval notation and linear inequalities worksheet, students use number lines and solve equations. Students complete 64 problems total.
Curated OER
Let's Line Them Up! Post Test
In this line graphs instructional activity, students answer multiple choice questions about line graphs. Students complete 10 multiple choice questions.
EngageNY
The Graph of a Linear Equation in Two Variables Is a Line
Show your class that linear equations produce graphs of lines. The 20th segment in a unit of 33 provides proof that the graph of a two-variable linear equation is a line. Scholars graph linear equations using two points, either from...
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...
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...