Curated OER
Building a Quadratic Function Form
Comparing the movement of graphs geometrically when small changes are made to the parent function motivates this collaborative discussion on the transformations of functions to their various forms. Vertical and horizontal shifts due to...
EngageNY
First-Person Computer Games
How do graphic designers project three-dimensional images onto two-dimensional spaces? Scholars connect their learning of matrix transformations to graphic design. They understand how to apply matrix transformations to make...
EngageNY
Coordinates of Points in Space
Combine vectors and matrices to describe transformations in space. Class members create visual representations of the addition of ordered pairs to discover the resulting parallelogram. They also examine the graphical representation of...
EngageNY
Designing Your Own Game
Your classes become video game designers for a day! They utilize their matrices, vectors, and transformation skills to create and design their own game images. The complex task requires learners to apply multiple concepts to create their...
Curated OER
Tiling Tessellations
Learners explore tessellations. In this shapes and geometry lesson, students describe the attributes of many of the shapes displayed on an Elmo. Learners create examples of tessellations using pattern blocks.
Pennsylvania Department of Education
Length and Perimeter
Third graders explore tessellations and the spatial concepts used in creating them. In this tessellations lesson plan, 3rd graders rotate, reflect and transform shapes to create tessellations. Students become familiar with the...
Pennsylvania Department of Education
Making Cubes
Third graders explore vocabulary associated with three dimensional figures. In this transformations lesson, 3rd graders create two dimensional nets for three dimensional figures. Students become familiar with describing two and three...
Curated OER
Wrapping It All Up
Through learning how to examine linear, quadratic, and exponential functions, students explore the effects of changes in parameters on the graphs of linear, quadratic, and exponential functions. The instructional activity is designed to...
Curated OER
Car Engines
Students create piston systems and explore the conversion of linear to rotary motion that propels a car. In this motion lesson, students build and test a model piston/crankshift system and discover why there is a maximum limit to how...
Curated OER
Properties of Logarithms
Learners explore the concept of logarithms. In this logarithms lesson, students discuss the logarithm properties. Learners use linear functions as a basis to develop the logarithm properites by substituting log b and log a for x and y.
Virginia Department of Education
Slope-2-Slope
Pupils build on previous experience with slope to investigate positive, negative, zero, and undefined slope. They complete a puzzle matching slope-intercept and standard forms of linear equations.
EngageNY
Analyzing a Graph
Collaborative groups utilize their knowledge of parent functions and transformations to determine the equations associated with graphs. The graph is then related to the scenario it represents.
Alabama Learning Exchange
Explore the Transformations of Linear and Absolute Value Functions Using Graphing Utilities
Pupils explore the concept of transformations. For this transformation instructional activity, students use an applet that is an interactive absolute value graph applet. Pupils manipulate the applet to examine the change in the...
Curated OER
Linear Equations
Ninth graders solve linear equations. In this Algebra I lesson, 9th graders investigate the properties of equations (Reflexive, Symmetric, Transitive, Substitution, and Transformation Properties) and use these properties to solve linear...
Curated OER
Triangles Inscribed in a Circle
Are you tired of answers without understanding? Learners can give a correct response, but do they really understand the concept? Have young mathematicians think deeper about linear functions, angles, and formulas in algebra. Learners are...
EngageNY
Exploring the Symmetry in Graphs of Quadratic Functions
Math is all about finding solutions and connections you didn't expect! Young mathematicians often first discover nonlinear patterns when graphing quadratic functions. The lesson begins with the vocabulary of a quadratic graph and uses...
Curated OER
Quilt Squares
Learners research the history of the quilt in American History and view a PowerPoint Presentation. They create a quilt square with colored paper using polygons, transformations, rotations, and reflections on the computer and on a...
Curated OER
Investigating Transformations Of Parent Functions
Students identify the basic transformations of parent functions. They use their graphing calculator to create a transformation booklet by folding a sheet of computer paper in half and stapling along the folded edge.
EngageNY
The Line Joining Two Distinct Points of the Graph y=mx+b Has Slope m
Investigate the relationship between the slope-intercept form and the slope of the graph. The lesson plan leads an investigation of the slope-intercept equation of a line and its slope. Pupils realize the slope is the same as the...
West Contra Costa Unified School District
Exploring Quadratics and Graphs
Young mathematicians first graph a series of quadratic equations, and then investigate how various parts of the equation change the graph of the function in a predictable way.
Curated OER
Real Life Algebra
Students investigate where in their everyday life math is used. For this algebra lesson, students describe linear transformation as it relates to business and sales. They relate area and perimeter to their yard or garden, as well as...
West Contra Costa Unified School District
Standard Form of Conics
Looking for a complete go-to guide for the standard form of conics? This five-page packet does a nice job of connecting conics to prior knowledge of functions and transformations. Adapt the resource as Algebra II lesson plan notes, or...
Curated OER
Middle Grades Math: Balancing Equations
Learners solve linear equations. By observing the graph of each side of an equation using the TI-nspire graphing calculator, your class gains insight into solutions, as well as balancing equations and transforming linear equations....
West Contra Costa Unified School District
Solving Quadratic Equations – Alternative Methods
There's more than one way to solve quadratic equations. Scholars learn how to solve quadratic equations using alternate methods. They use completing the square by making the linear coefficient even and the leading coefficient a perfect...