Explore how dilations affect the character Tung Tung Tung Sahor on a coordinate plane to deepen your understanding of transformations and congruence. Engage in a hands-on activity to visualize these mathematical concepts, enhancing your ability to interpret and construct linear functions. Create a tangible 3D model to demonstrate the practical application of dilations, reinforcing your skills in modeling and scaling.
Learning goals
Explore how dilations affect the size and congruence of a character on a coordinate plane. Understand the relationship between dilations and linear functions, and how transformations can be represented graphically. Develop skills in using graph paper and rulers to accurately plot and transform figures. Create and present a 3D model to visually demonstrate the concept of scaling through dilations. Reflect on the practical application of these mathematical concepts to deepen understanding.
Standards
[Common Core] CCSS.Math.Content.8.F.A.3 - Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear.
[Common Core] CCSS.Math.Content.8.F.B.4 - Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.
Products
Design a 3D printed model of Tung Tung Tung Sahor that can be scaled to demonstrate dilations, and create a graph to illustrate the linear function of these transformations. Use graph paper and rulers to plot the character on a coordinate plane, performing dilations to observe changes in size and congruence. Present your 3D model and graph in a gallery walk, sharing insights on how dilations affect congruence.
Launch
Begin by introducing Tung Tung Tung Sahor through a brief animated video that highlights their unique characteristics and movements. Then, engage in a quick discussion about how transformations like dilations can alter the appearance of characters on a coordinate plane. Transition into a hands-on activity where you sketch Tung Tung Tung Sahor on graph paper, preparing to explore how dilations affect size and congruence.
Exhibition
Facilitate a gallery walk where you display your 3D printed models of Tung Tung Tung Sahor alongside the graphs illustrating the dilations. Invite classmates to observe the transformations and provide feedback on the accuracy and creativity of your work. Use this opportunity to explain the mathematical concepts behind your model and how the dilations affected congruence.
