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EngageNY
Newton’s Law of Cooling
As part of an investigation of transformations of exponential functions, class members use Newton's Law of Cooling as an exponential model to determine temperature based on varying aspects. The resource makes comparisons between...
EngageNY
Wishful Thinking—Does Linearity Hold? (Part 2)
Trying to find a linear transformation is like finding a needle in a haystack. The second lesson in the series of 32 continues to explore the concept of linearity started in the first lesson. The class explores trigonometric, rational,...
EngageNY
Characterize Points on a Perpendicular Bisector
Learn transformations through constructions! Pupils use perpendicular bisectors to understand the movement of a reflection and rotation. They discover that the perpendicular bisector(s) determine the line of reflection and the...
Georgia Department of Education
Analytic Geometry Study Guide
Are you looking for a comprehensive review that addresses the Common Core standards for geometry? This is it! Instruction and practice problems built specifically for standards are included. The material includes geometry topics from...
Balanced Assessment
Writing and Sketching Resource
Picture this—the class creates pictures using functions. Here, learners build functions to model specific graphic criteria. They use their knowledge of parent functions and transformations to create the perfect function.
Illustrative Mathematics
Building a General Quadratic Function
Rewrite a quadratic function to easily see the transformations involved. The instructional task takes a general quadratic function and rewrites it into a form that shows the translations and scaling of the parent quadratic function. The...
GeoGebra
Conjectures and Proof
Transform proofs using triangle rotations. By rotating a triangle around various points, class members develop proofs. Participants prove relationships of alternative interior angles formed by parallel lines and the sum of the interior...
CK-12 Foundation
Equations of Circles: The Sea of Happiness
Map this! Help your young mathematicians draw a circular island on a map. Given specifics of the location and size of an island on a map, pupils transform a circle to meet the given requirements. They then determine the location of the...
Concord Consortium
Twinkle, Twinkle
Take a look at a star resource. Young mathematicians use a graphing calculator to draw intersecting lines that look like a star. They then apply translations to move the entire star and also consider what transformations must occur to...
Corbett Maths
Enlargements Using Ray Method
Figure out what to do when there is no grid to count. Using a ruler and a sharp pencil, the narrator shows how to perform a dilation when the figure is not on a grid. The ray method works by drawing a ray from the center of dilation...
PHET
Function Builder: Basics
Learn about functions using the function builder app. A fun online interactive has the class conduct an investigation using a function machine. Inputs are pieces of art, and output are transformations of these pieces of art.
Radford University
Function Family Fun
It's time for a family reunion—function families, that is. Pupils first review different types of parent functions. They then see how to apply transformations to graphs and learn how to select the most appropriate type of function to...
Radford University
Google Earth Trip
A trip around the world sounds nice, but for now we'll just have to make do with Google Earth. Pupils use pictures of landmarks to apply geometry concepts. They determine whether each building has bilateral or rotational symmetry, search...
EngageNY
Sequencing Rotations
Discover the result of a sequence of rotations about different centers. Pupils perform rotations to examine the patterns. They also describe the sequence of rotations that performed to reach a desired result in the ninth installment in a...
EngageNY
Revisiting the Graphs of the Trigonometric Functions
Use the graphs of the trigonometric functions to set the stage to inverse functions. The lesson reviews the graphs of the basic trigonometric functions and their transformations. Pupils use their knowledge of graphing functions to model...
Radford University
Tiling a Kitchen Floor
Cover the floor with math. Pupils work to determine the proper shape to cover a kitchen floor. They first determine the number of tiles to purchase and configure their placement to reduce the amount of waste. Teams finish by creating a...
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...
Virginia Department of Education
Translation and Reflection
Bring about the change you want to see in the world or at least in your lesson plans. Young mathematicians learn about translation and reflections by applying them to polygons on the coordinate plane. Results provide data to...
Curated OER
Radical Transformations
Students transform the square root function graphically. In this transforming the square root function graphically lesson, students use their Ti-Nspire to change the a, b, and c values of th square root graph. Students...
Curated OER
Transformations And Animations in Polar Graphing
In this math worksheet, they investigate the polar graph of: r = a + b sin (t), for various values of a and b. This is called a limacon and is applied to the definition of a transformation.
IMSA
Geometric Transformations with Matrices
In this math worksheet, learners find the values associated with the geometric transformations. They read the instruction sheet for completing matrices with translations, rotations, reflections, and scaling by adding and multiplying...
Curated OER
Transformations
Learners draw on graph paper. In this geometry lesson, students review types of triangles and quadrilaterals. Learners investigate geometric transformations, including translation, rotation and reflection. Students practice each...
Curated OER
Shape and Space: Transformations
Middle schoolers explore transformations. In this mathematical transformations lesson, students define quadrilaterals, convert centimeters to meters, and complete a transformations worksheet.
Curated OER
Lesson 10-5: Transformations
In this transformations worksheet, students solve 5 multi-part short answer problems. Students transform images by reflecting them over a line or a point. Students find the line and/or point symmetry of various figures.
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