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US Department of Commerce
Looking at Numbers of Births Using a Line Graph
Was there a baby boom? Using census data, class members take a look at the number of 8-11 year olds and determine their birth years. Scholars create a double line graph to compare the number of births for two states for several years....
EngageNY
Identifying Proportional and Non-Proportional Relationships in Graphs
Graph a relationship to find out if it is proportional. The instructional activity introduces the criteria for determining whether a relationship is a proportional relationship based on its graph. Pupils graph relationships and determine...
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...
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
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...
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...
West Contra Costa Unified School District
Connecting Graphing and Solving Absolute Value Equations and Functions
Can you solve an equation graphically? Absolutely! This Algebra II lesson makes the connection between solving an absolute value equation and graphing two functions. Graphing absolute value functions is presented through the process of...
EngageNY
From Ratio Tables, Equations and Double Number Line Diagrams to Plots on the Coordinate Plane
Represent ratios using a variety of methods. Classmates combine the representations of ratios previously learned with the coordinate plane. Using ratio tables, equations, double number lines, and ordered pairs to represent...
EngageNY
Interpreting, Integrating, and Sharing Information: Using Charts and Graphs about DDT
Is American growing fatter? Scholars begin with a mini lesson on reading charts and graphs using information about Human Body Fat in United States. They then transfer what they learned to charts and graphs using harmful and...
National Security Agency
Line Plots: Frogs in Flight
Have a hopping good time teaching your class how to collect and graph data with this fun activity-based lesson series. Using the provided data taken from a frog jumping contest, children first work together...
California Academy of Science
California's Climate
The United States is a large country with many different climates. Graph and analyze temperature and rainfall data for Sacramento and Washington DC as you teach your class about the characteristics of Mediterranean climates. Discuss the...
Illustrative Mathematics
Who Has the Best Job?
Making money is important to teenagers. It is up to your apprentices to determine how much two wage earners make with their after school jobs. Participants work with a table, an equation, and a graph and compare the two workers to see...
EngageNY
The Slope of a Non-Vertical Line
This lesson introduces the idea of slope and defines it as a numerical measurement of the steepness of a line. Pupils then use the definition to compare lines, find positive and negative slopes, and notice their definition holds for...
Federal Reserve Bank
Less Than Zero
Perry the penguin wants to buy a new scooter, but he doesn't have any funds! Walk your kids through the short book Less Than Zero, and have them track his borrowing, spending, and saving on a line graph while you read. Pupils will learn...
EngageNY
The Defining Equation of a Line
They appear to be different, yet they are the same line. Part 24 out of 33 lessons provides a theorem about the relationships of coefficients of equivalent linear equations. Pupils use the theorem to determine whether two equations are...
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...
Curated OER
Scatter-Brained
Seventh graders graph ordered pairs on a coordinate plane. They create a scatterplot. Additionally, they determine the line of best fit and investigate the slope of the line. Multiple resources are provided. An excellent resource!
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...
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.
Curated OER
Level III: Technology Integration
Fourth graders prepare two spreadsheets each with an embedded line graph that displays data about the growth of the bitter rot fungus on apples and on petri dishes that were stored in the refrigerator and the classroom. They prepare a...
EngageNY
Graphing Solutions to Inequalities
Activate the strengths of your visual learners using an informative lesson. In the 15th installment of the series of 28, pupils graph their solutions on number lines to create a visual representation of solutions. Problems presented as...
EngageNY
Interpreting Graphs of Proportional Relationships
What do those points on the graph mean? The 10th instructional activity in a series of 22 presents proportional relationships as graphs. Class members interpret various points of the graph — including the origin — within the context of...
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