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...
Willow Tree
Approximating a Line of Best Fit
You may be able to see patterns visually, but mathematics quantifies them. Here learners find correlation in scatterplots and write equations to represent that relationship. They fit a line to the data, find two points on the line, and...
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...
Illustrative Mathematics
Distance across the channel
Here you will find a model of a linear relationship between two quantities, the water depth of a channel and the distance across the channel at water level. The cross section of the channel is the shape of an isosceles trapezoid. The...
American Statistical Association
What Fits?
The bounce of a golf ball changes the result in golf, mini golf—and a great math activity. Scholars graph the height of golf ball bounces before finding a line of best fit. They analyze their own data and the results of others to better...
EngageNY
Translating Graphs of Functions
If you know one, you know them all! Parent functions all handle translations the same. This lesson plan examines the quadratic, absolute value, and square root functions. Pupils discover the similarities in the behavior of the graphs...
Annenberg Foundation
Skeeters Are Overrunning the World
Skeeters are used to model linear and exponential population growth in a wonderfully organized lesson plan including teachers' and students' notes, an assignment, graphs, tables, and equations. Filled with constant deep-reaching...
American Statistical Association
You and Michael
Investigate the relationship between height and arm span. Young statisticians measure the heights and arm spans of each class member and create a scatter plot using the data. They draw a line of best fit and use its slope to explain the...
EngageNY
Modeling with Polynomials—An Introduction (part 2)
Linear, quadratic, and now cubic functions can model real-life patterns. High schoolers create cubic regression equations to model different scenarios. They then use the regression equations to make predictions.
Virginia Department of Education
Vapor Pressure and Colligative Properties
Hate to vacuum, but enjoy using a vacuum pump? Explore a lesson that starts with a demonstration of boiling water at various temperatures by using a vacuum pump. Then scholars design their own experiments to measure vapor pressure and...
Virginia Department of Education
Thermochemistry: Heat and Chemical Changes
What makes particles attract? Here, learners engage in multiple activities that fully describe colligative properties and allow the ability to critically assess the importance of these properties in daily life. Young chemists...
Curated OER
Equations and Inequalities
Students in a college algebra class use graphs to solve inequalities. Using the coordinate graphing system, they represent the relationship between x and y intercepts. They practice solving equations with complex numbers and locate...
Curated OER
2 X 2 Linear Systems
Students solve 2 X 2 systems graphically and algebraically. They investigate parallel systems. They solve application problems using 2 X 2 systems.
Curated OER
To Be Linear or Not to be Linear, That is the Question
Students use their knowledge and understanding of equations of lines to explore independent and dependent variables. They determine how to isolate a variable and how to predict data points not represented in data.
Curated OER
More with Graphing and Intercepts
In this math worksheet, pupils graph the equations through recognizing the position of the intercepts. They also create a function table for each.
Curated OER
Move It
Studens collect and graph data. In this algebra lesson, young scholars use a CBL and CBR with a TI Calcualtor to observe linear graphs. They use the correct vocabualry as they discuss the collected data.
Curated OER
Earthquakes
Eighth graders demonstrate the mathematical components of a scientific problem as well as illustrate how real world problems can be solved using math. They demonstrate math skills such as rate calculation, graphing, and linear equations.
Curated OER
Exploring Linear Equations
Eighth graders follow the teacher as they enter information into the graphing calculator. They investigate different graphs to explain the slope of a line, the y intercept, and parallel lines.
Virginia Department of Education
The Exercise Fields
Horses need exercise, too. Scholars create linear equations to model the perimeter of exercise fields for horses. They finish by solving their equations for the length and width of the fields.
Curated OER
Linear Relations
In this linear relations worksheet, students complete a table for given functions. They classify graphs as linear or non-linear. Students graph given equations. They compare and contrast graphs. This nine page worksheet contains five...
Curated OER
Linear Relationship
Students use a graphing calculator to examine the association between the data points and equation of a linear relationship. They write equations in slope- intercept form. Answer key included.
Curated OER
Linear Relationships - Standard Form
Students use a graphing calculator to examine the association between the data points and equation of a linear relationship. They write equations in standard form and then graph the equations using the slop-intercept form. Answer Key...
Curated OER
Baseball Relationships - Using Scatter Plots
Young scholars 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
Application of Graph Theory
Students investigate different online tutorials as they study graphing. In this graphing lesson, students apply the concept of graphs cross curricular and use it to make predictions. They define the purpose and theories behind graphs.