Curated OER
Your Father
Your learners will explore the idea that not all functions have real numbers as domain and range values as seen in this real-life context. Secondly, the characteristics required for a function to have an inverse are explored including...
Curated OER
Linear Inequalities
Through exploration of linear programming through graphs and equations of inequalities, students relate linear programming to real life scenarios, such as business. Graphing and shading is also part of this exercise.
Curated OER
Exponential Reflections
High Schoolers explore the concept of exponential reflections. They use their Ti-Nspire to reflect the natural logarithm function over the line y=x. Students repeat the process using different exponential functions using a slider.
Curated OER
Finding Patterns and Graphing Functions
Students investigate patters for area and perimeter. In this Algebra I/Geometry lesson, students explore two different patterns as they write a formula for the nth term of each pattern. Students graph their results and determine if the...
Curated OER
Application of Function Composition
Young mathematicians solve composition of functions. They add, subtract, multiply and divide functions and then identify the domain and range of each function. An embedded animation shows three different applications of function...
Curated OER
Functions in Motion
Students graph polynomials functions and analyze the end behavior. For this algebra lesson, student differentiate between the different polynomials based on the exponents. They use a TI to help with the graphing.
Illustrative Mathematics
Transforming the graph of a function
This activity guides learners through an exploration of common transformations of the graph of a function. Given the graph of a function f(x), students generate the graphs of f(x + c), f(x) + c, and cf(x) for...
Curated OER
Logarithmic Functions
Learners explore the characteristics of logarithmic functions and their relationship to exponential functions. Using the subscriber website Explorelearning.com, pupils observe changes in the input variable and its effect on the graph of...
Curated OER
Do Two Points Always Determine an Exponential Function?
Algebra learners explore, analyze and build an exponential equation given its form and a specific point that exists on the function in this task. The last question asks learners to apply their ideas to an exponential equation given two...
CK-12 Foundation
Horizontal Translations or Phase Shifts: Tangent
Patterns can be shifty! Find the pattern when shifting the graph of tangent. Pupils move the graph of tangent to different locations on the coordinate plane. They observe what happens to the function and its vertical asymptotes...
CK-12 Foundation
Horizontal Translations or Phase Shifts: Cosine
If cosine is shifted, how is its equation affected? Learners manipulate the graph of cosine by moving the y-intercept to different locations on the coordinate plane. Pupils determine the new equation that models the shifts.
West Contra Costa Unified School District
Writing Exponential Functions Based on Data
Give your class a concrete example of exponential growth and decay using this hands-on activity. These Algebra II lessons allow for the exploration of exponential growth and decay models, as well as the discovery of the patterns of...
Alabama Learning Exchange
Jump! An Exploration into Parametric Equations
Explore parametric equations in this lesson, and learn how to determine how much time it takes for an object to fall compared with an object being launched. high scoolers will use parametric equations to follow the path of objects in...
Curated OER
Linear Regression and Correlation
Learners explore scatter plots. In this linear regression instructional activity, groups of pupils graph scatter plots and then find the line of best fit. They identify outliers and explain the correlation. Each group summarizes and...
Curated OER
Interactivate - Lines, Rays, Line Segments, and Planes
Students explore lines, rays, line segments, and planes. In this math instructional activity, students discuss the math concepts and direct their instructor in graphing functions. Students collaborate in graphing additional functions.
Curated OER
Exploring Quadratic Equations
By stretching and translating the parabola given and determining the effects on the equation, young scholars explore finding the vertex and zeros of a parabola and relate them to the equation. Students also view the intercept form to...
Curated OER
Functions Made Easy
Students explore concept of functions as relationships, as machines, as equations, and as graphs.
Curated OER
Functions
In this Algebra I/Algebra II worksheet, students evaluate functions. Students graphs functions and determine the domain and range, find the sum, difference, and product of functions, find composite functions and explore the...
Curated OER
Exploring Transformations
Young scholars investigate functions and their transformations. They move absolute value functions around on the coordinate plane, and then define the transformation and plot the new graph. The table feature of the TI-calculator is used...
Alabama Learning Exchange
Technology for Displaying Trigonometric Graph Behavior: Sine and Cosine
Students explore the concept of sine and cosine. In this sine and cosine instructional activity, students work in groups to graph sine and cosine functions. Students examine how coefficients in various parts of each parent...
Curated OER
Concavity of a Graph
Learners explore the graph of a function. In this calculus lesson, students identify when and where the graph is increasing or decreasing. They identify if it concave up or down by moving the cursor.
Curated OER
Exploring Real Numbers
In this algebra worksheet, 11th graders classify numbers as rational, irrational, integral and whole. They solve the equations and graph i ton a number line. There are 26 questions with an answer key.
Curated OER
Exploration of Trigonometry
Learners explore how changing an angle in a triangle changes the ratio of the sides. They also explore how changing the sides can make changes to an angle in a triangle. Finally, they determine how two different pairs of sides, in the...
Curated OER
Functions
Students explore a variety of functions. They recognize and describe functions and use linear functions to describe situations. Students find the domain and range of linear functions and graph rational expressions.