Curated OER
Write the Equation of a Line Given Two Points
Ninth graders write the equation of a line using two points. They are given a set of coordinate pairs and asked to write the equations of line using the slope and a point. Next, they use the formula y2-y1 divided by x2-21 to find the slope.
Curated OER
Influence and Outliers
Using the TI-Nspire calculator, statisicians identify outliers and their effect on the least-squares regression line. In finding the line of best fit, they determine what points will affect the least squares regressions and what points...
Curated OER
Fallacies of Weak Induction
A high-level introduction to fallacies of weak induction, including appeals to unqualified authority and ignorance, hasty generalizations, and weak analogies. Each fallacy is defined and shown with an example. For use mostly in college...
Charleston School District
Graphs of Linear Functions
What does a slope of 2/3 mean? Develop an understanding of the key features of a linear function. Pupils graph the linear functions and explain the meaning of the slope and intercepts of the graphs.
Mathalicious
Domino Effect
Carryout the lesson to determine the cost of pizza toppings from a Domino's Pizza® website while creating a linear model. Learners look through real data—and even create their own pizza—to determine the cost of each topping. They...
Curated OER
Roller Ball Race
Students use problem-solving skills and creativity to build a roller ball race track with adjustable ramp levels and changeable friction surfaces. They hypothesize how fast or slow balls will roll down ramps, varying the shape and size...
Curated OER
Worksheet 3: Earth's Climate System II
A diagram of a mountain range and the prevailing winds is shown at the top of the page. Meteorology pupils describe the weather conditions at different points on the diagram. They explain the El Nino effect and why evaporation and...
Council for Economic Education
A Lesson on the Supply and Demand of Toy Fads
Let's all Hula Hoop! Scholars research the supply and demand side of toy fads in the United States. They analyze video clips and news articles to complete graphs on how the supply curve slope works in concert with the demand for products...
Curated OER
Trail Impact Study
Middle schoolers create maps through trails that keep the environment safe. in this trail plotting instructional activity, students mark off a trail to show hazards, erosion threshold, and slope. Middle schoolers record...
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...
Illustrative Mathematics
Velocity vs. Distance
At the end of this activity, your number crunchers will have a better understanding as to how to describe graphs of velocity versus time and distance versus time. It is easy for learners to misinterpret graphs of velocity, so have them...
Chapman University
Derivative of sin x
Direct and to the point (the slope at a point that is) describes this one-page proof of the derivative of the sin(x). The definition of a derivative using a limit is the first step in this sequential, algebraic, explanation of how...
Mathematics Assessment Project
Square
Don't be a square! Young mathematicians determine the slope and length of a line segment. They then prove whether four given coordinate points form a square.
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...
Mathematics Vision Project
Transformations and Symmetry
Flip, turn, and slide about the coordinate plane. Pupils define the rigid motions and experiment with them before determining the relationships of the slopes of parallel and perpendicular lines. The sixth unit in a nine-part series...
CK-12 Foundation
Linear Equations: Temperature Transitions
Explore linear conversions using an engaging interactive lesson. Learners drag a point on a graph to discover the equivalent degrees in Fahrenheit and Celsius. Embedded questions highlight key features such as slope and the...
CK-12 Foundation
Input-Output Tables for Function Rules
Make the abstract a bit more concrete with an interactive that asks learners to slide an input value through a function to determine the output. Changing the slope and y-intercept allows them to see the how the output values change.
CK-12 Foundation
Derivatives of Trigonometric Functions: Derivative of sin(x)
Graphically find the derivative of sin(x). Using the interactive, pupils graph the slope of the tangent line to the sine function. Class members use the resulting graph to determine the derivative of the sine function. They verify their...
Shodor Education Foundation
Incline
Study velocity while examining graphical representations. As scholars work with the animation, they discover the effect the height of an incline has on the velocity of the biker. They make conclusions about the slope of the...
Shodor Education Foundation
Linear Inequalities
An interactive lesson helps individuals learn to graph inequalities in two variables. Scholars can adjust the interactive to present the inequalities in standard or slope-intercept form.
Physics Classroom
Graph That Motion
Pupils apply their knowledge of the shape and slope of graphs to interpret the motion of an object. Three levels of difficulty provide plenty of practice with support thanks to the "Help Me!" button offered with each question.
Physics Classroom
Position-Time Graphs - Conceptual Analysis
Increasingly, colleges and employers want applicants with strong conceptual analysis skills, so give them some practice! Applying these skills to position-time graphs encourages synthesis of knowledge. To complete an installment of a...
Concord Consortium
Betweenness I
Just between us, this is a pretty cool lesson! Given two functions with the same slope, learners write three new functions whose outputs are all between the given functions. The question is open-ended, allowing pupils to explore the...
Physics Classroom
Position-Time Graphs
Three sections review the key skills covered in a series on dimensional kinematics. The first covers the difference between distance and displacement. The second addresses the relationship between velocity and slope. The third includes...
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