CK-12 Foundation
Horizontal Translations or Phase Shifts: Horizontal and Vertical Translations
It is all about the shift. Pupils translate the graph of a cubic function to different marked locations on the plane and determine the new equation that represents the shifts. The activity is designed to encourage individuals begin to...
EngageNY
Stretching and Shrinking Graphs of Functions
Why is that graph wider? Pupils learn about stretching and shrinking graphs of square root, absolute value, cubic, and quadratic functions. They study both vertical and horizontal stretches and shrinks in addition to reflections.
EngageNY
The Graph of a Function
Mathematics set notation can be represented through a computer program loop. Making the connection to a computer program loop helps pupils see the process that set notation describes. The activity allows for different types domain and...
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 before...
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.
EngageNY
Graphing Quadratic Equations from the Vertex Form
Graphing doesn't need to be tedious! When pupils understand key features and transformations, graphing becomes efficient. This lesson plan connects transformations to the vertex form of a quadratic equation.
CK-12 Foundation
Vertical Translations: Translating a Square Root Function
How does the equation of a function reflect translations? Scholars manipulate the starting point of the parent square root function before determining the new equations that result from the translations. Class members also determine the...
CK-12 Foundation
Restricted Domain and Range: Translation of a Curve
Moving the graph of a function obviously changes its domain and range. Scholars adjust the location of a graph in an interactive coordinate plane. The interactive automatically updates and displays the domain and range to show how it...
Radford University
Transformational Graphing in the Real World: Building Bridges
No suspension here, the resource is good to go. Using graphing calculators, scholars explore how transformations affect the graphs of quadratic functions. They consider how the changes relate to the context of suspension bridges.
Radford University
Transformational Graphing in the Real World: Air Traffic Control
You're cleared to learn about absolute value functions. An interesting lesson has scholars investigate transformations of the graphs of absolute value functions. They look at air traffic control as an application of the concept.
Curated OER
Rockefeller's Revenge: Exxon and Mobil Unite
Study the impact and possible outcomes of the Exxon-Mobil merger in your language arts, social studies, or economics class. Secondary learners evaluate a series of graphs, write a paragraph interpreting the data, and engage in class...
EngageNY
Representations of a Line
Explore how to graph lines from different pieces of information. Scholars learn to graph linear functions when given an equation, given two points that satisfy the function, and when given the initial value and rate of change. They solve...
EngageNY
Introduction to Simultaneous Equations
Create an understanding of solving problems that require more than one equation. The lesson introduces the concept of systems of linear equations by using a familiar situation of constant rate problems. Pupils compare the graphs of...
Curated OER
Graph Transforms
In this graph transforms worksheet, 10th graders solve and complete 15 various types of problems. First, they evaluate each function and sketch the graph. Then, 10th graders determine why two transformation illustrated are identical for...
Curated OER
The Human Graph
Students produce a graph of favorite colors. In this graphing lesson, students create a human graph based on their favorite color then the teacher transfers the data to a bar graph. Students compare the lines on the graph before...
Curated OER
Application of Graph Theory
Students investigate different online tutorials as they study graphing. For 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.
Curated OER
Fast Food Survey Using Bar Graphs
Second graders create a bar graph to pictorically represent the data collected from a survey of students. They use Excel to electronically create the graphs and data tallies. They then interpret their data using sentences to explain.
Curated OER
Visualizing and Naming Polygons
A really useful resource contains 116 slides covering basic geometric concepts related to 2-D or plane shapes. Shape properties, translations, reflections, congruence, symmetry, and grid work are all laid out in a comprehensive and...
Curated OER
Translation of Shapes
Geometers graph figure translations, find coordinates for transformed figures, and write rules to describe transformations presented. The 2-page worksheet contains 14 problems, with answer key attached.
Curated OER
Coordinate Graphs, Translations and Reflections
Students perform translations and reflections. For this algebra lesson, students use the TI calculator to graph functions. They move the functions around on the coordinate plane using translation and reflection.
Curated OER
Location on a Grid
Make coordinate pairs more engaging by having beginners color-code a grid based on given locations. The grid has numbers along the y-axis and letters along the x-axis, introducing them to the ordering of coordinate pairs with the x-axis...
Curated OER
Exploring Quadratic Data with Transformation Graphing
Using a data collection device to collect data regarding a bouncing ball, students use various features on graphing calculators to experiment with the parameters of the vertex form of the parabola and their effect on the shape of the...
Curated OER
Graphing Systems of Inequalities
Solve equations and graph systems of inequalities. Designed as a lesson to reinforce these concepts, learners revisit shading and boundaries along with solving linear inequalities.
Mathematics Assessment Project
Comparing Lines and Linear Equations
Scholars first complete an assessment task on writing linear equations to model and solve a problem on a running race. They then take part in a card matching activity where they match equations and graphs of lines to diagrams of fluid...