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Translations Teacher Resources
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Geometric transformations are explored by high schoolers. They will create a set of instructions for plotting coordinates representing an original transformation of a real-world figure. These instructions are shared with middle schoolers, who reproduce the transformation by plotting the given points, then hypothesizing the name of the figure that was transformed. The project is discussed collaboratively through the use of video conferencing.
Mathematicians analyze the vertex form of a parabola and find an approximate fit of a model. They explain the quadratic parabola function and its properties by developing quadratic models. They use translation and dilation to change the general parabola. PDF downloads of the lab activity are included.
This is an interesting geometry problem. Given the figure, find the area of a triangle that is created by the intersecting lines. The solution requires one to use what he/she knows about coordinate geometry, as well as triangle and angle congruence, rigid motion, rotation, translation, and the distance formula. Challenge your learners to find the solution two different ways.
Fifth graders examine the many uses of coordinate grids. In this graphing lesson, 5th graders write data driven equations, discuss the x and y-axis, and determine if using 2 or 3 ordered pairs is better. Students complete several discussions and guided practices and then work independently on the worksheets provided within the unit.
How do you show that something is a rectangle? This activity starts with four coordinate points and asks young geometers to explain whether they create a rectangle. Knowledge from both geometry and algebra come into play here, as well as, exploring many different approaches to solve this problem; making this a good small group activity. See how many solutions your class can find!
Rotate it, reflect it, and slide it! This lesson plan gives your geometers an opportunity to explore transformations in the coordinate plane. Working in small groups, learners travel to four stations with a figure you have assigned them to draw. Each station presents a set of instructions to perform specific transformations and translations on their figure. One station uses patty paper to perform the transformations, one uses graph paper, another uses MIRA boards or transparencies, and the last uses geometry software such as Geometer's Sketchpad or Geogebra. If geometry software isn't available, you can modify the lesson plan to include only three stations. After completing all stations, students discuss their results and reflect on their findings.
Tenth graders explore translations, rotations and reflections of two dimensional objects. In this geometry lesson, 10th graders use transformation to move objects and shapes around on a coordinate plane. They create a hands on transformation using constructions paper and graph paper.
Ninth graders explore transformations on a Coordinate plane. In this transformation lesson, 9th graders predict the transformation that will occur in each situation. Students also explore the relationship between a picture and its image when it is flipped two different ways.
What is absolute value? What is an absolute value function? Emerging mathematicians solve equations containing variables inside an absolute value sign. They graph each function on a coordinate plane and identify the maximum and minimum values in the graph. This two-page worksheet contains detailed notes, examples, and instruction, as well as four problems.
The first activity may not work for your class if you don't have access to an open area of 30 meters and two cars of different masses, but the remaining activities can be used in any physics course. They all involve the investigation of Newton's first law of motion. If you visit the Scope, Sequence, and Coordination of Secondary School Science website by the National Science Teachers Association, you will easily find the student handouts. In addition to procedures for the activites, this resourece provides 18 different assessment exercises for you to choose from!
Play ball! High schoolers explore the concept of quadratic equations through modeling how shooting a basketball can be expressed as a quadratic function. They impose a coordinate grid on the path of a shooting basketball and determine points to model the data. Additionally, they enter data into lists and perform a quadratic regression on the data.
Students perform transformations and translation on a coordinate plane. In this geometry lesson, students move shapes around on a graph identifying translation, image, and transformation. This lesson has an interactive part online that provides visual of these transformations.