Shodor Education Foundation
InteGreat
Hands-on investigation of Riemann sums becomes possible without intensive arithmetic gymnastics with this interactive lesson plan. Learners manipulate online graphing tools to develop and test theories about right, left, and...
Teach Engineering
Using Hooke's Law to Understand Materials
Provide a Hooke for a lesson on elasticity with an activity that has groups investigate a set of springs. They use a set procedure to collect data to calculate the spring constant for each spring using Hooke's Law. The groups...
EngageNY
The Special Role of Zero in Factoring
Use everything you know about quadratic equations to solve polynomial equations! Learners apply the Zero Product Property to factor and solve polynomial equations. They make a direct connection to methods they have used with quadratic...
CK-12 Foundation
Inverse Functions
Provide a graphical view of inverses. Pupils manipulate points on a line and see the relationship of the graph with the graph of its inverse. Using the relationship between the graphs, scholars respond to questions concerning inverses...
Illustrative Mathematics
Modeling London's Population
Looking at London's population from 1801–1961 in 20 year increments, high school mathematicians determine if the data can be modeled by a given logistic growth equation. They explain their thinking and determine the values of each...
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.
Curated OER
Comparing Investments
Money, money, money. A complete lesson plan that makes use of different representations of simple and compound interest, including written scenarios, tables, graphs, and equations to highlight similarities and differences between linear...
CK-12 Foundation
Vertical Translations
Change the y-intercept by adding a constant to the function. Individuals move three functions vertically along the y-axis. As they observe how the equation of the functions change with the vertical movement, learners determine how...
EngageNY
Integer Sequences—Should You Believe in Patterns?
Help your class discover possible patterns in a sequence of numbers and then write an equation with a lesson that covers sequence notation and function notation. Graphs are used to represent the number patterns.
Curated OER
Solutions, Solutions, Could it Be?
Learners graph and solve linear system of equations. For this algebra lesson, students use algebraic and graphing methods to solve their systems. They find the point of intersection for their solution and draw inference from their...
Curated OER
Conic Sections and Nonlinear Systems of Equations
In this conic sections and nonlinear equations worksheet, students solve 25 multiple choice problems. The worksheet is a review of the conic sections and nonlinear systems chapter of an intermediate algebra course, so the topics vary...
Curated OER
Linear Systems: Graphical Interpretation of Vectors
In this graphical interpretation of vectors worksheet, students explore the geometrical appearance of given problems, determine if vector subtraction is commutative and graph a system of equations. This three-page worksheet contains...
Curated OER
Reading a Graph: Azimuth Range vs. Day in Barrow Alaska
Students practice reading a graph while doing story problems. They determine the x and y intercepts and calculate the slope. They also practice writing linear equations.
Curated OER
You Sank My Battleship
Students apply the concept of transformation to the game of battleship. In this algebra lesson, students relate their linear equations to how they would graph or set up their game pieces to win.
Curated OER
Introducing Linear Terminology
Ninth graders graph linear equations and inequalities in two variables and then, they write equations of lines and find and use the slope and y-intercept
of lines. They use linear equations to model real data and define to define the...
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.
Curated OER
Coordinates and Equations
For this algebra worksheet, learners solve linear equations and plot their results on the coordinate plane. There are 20 problems using slopes and intercepts to help graph linear equations.
Curated OER
Graphing Equations
Students differentiate between linear and quadratic functions. In this algebra lesson, students write equations of graphs and graph a function from an equation. They also identify the slope and y-intercept.
Curated OER
Gummy vs. Gum
Students explore numbers patterns and write equations to describe the pattern. They apply the equations to further the patterns.
Curated OER
Cover and Boarders
Students find the area and perimeter of rectangular figures. They use this information to find patterns and discover relationships between area and perimeter. Students apply and explain formulas relating to perimeter, area, and volume.
Curated OER
More preparation for the Picture Project
Students graph linear equations and make a poster. In this algebra lesson, students write the equation of a line, and identify the domain or x-value of the graph. They create picture for their project.
Curated OER
Reflections of a Linear Function
Students identify and reflect functions about the X-axis, Y-axis, and origin. They derive equations for reflected functions and graph the linear functions. Finally, students identify that f(x) can be reflected about each axis and the...
Curated OER
Find Parabolas through Two Points
Your learners will write quadratic functions whose graphs include specific points and explore how these graphs are related to each other.