All grades  Lesson 30 minutes

"Chick Growth: Dilation and Confruence Fun!"

Damian S
CCSS.Math.Content.8.G.A.3
CCSS.Math.Content.8.G.A.4
Self Directed Learning
Academic Mindset
Critical Thinking & Problem Solving
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Purpose

Explore the fascinating growth journey of a chicken by using mathematical transformations to visualize changes in size and shape. Engage in hands-on activities to build a deeper understanding of dilations, translations, rotations, and reflections. Develop critical thinking skills by analyzing how these transformations affect two-dimensional figures, and create physical models to represent these concepts. Through self-directed learning and collaborative feedback, enhance your academic mindset and problem-solving abilities while connecting mathematical concepts to real-world phenomena.

Learning goals

Explore how transformations such as dilations, translations, rotations, and reflections can alter the size and shape of figures, using the growth stages of a chicken as a practical example. Develop skills in plotting points on a coordinate grid to represent these transformations and understand the concept of similarity between figures. Enhance your ability to engage in self-directed learning by reflecting on your experiences and using feedback to guide your progress. Strengthen your academic mindset by connecting mathematical concepts to real-world scenarios, fostering a sense of identity and belonging in the learning process.
Standards
  • [Common Core] CCSS.Math.Content.8.G.A.3 - Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.
  • [Common Core] CCSS.Math.Content.8.G.A.4 - Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them.
Competencies
  • Self Directed Learning - Students use teacher and peer feedback and self-reflection to monitor and direct their own learning while building self knowledge both in and out of the classroom.
  • Academic Mindset - Students establish a sense of place, identity, and belonging to increase self-efficacy while engaging in critical reflection and action.
  • Critical Thinking & Problem Solving - Students consider a variety of innovative approaches to address and understand complex questions that are authentic and important to their communities.

Products

Create a physical model using clay or other materials to represent different stages of a chicken's growth, applying transformations to demonstrate changes in size and shape. Develop a series of coordinate grid exercises where you plot points representing different stages of a chicken's growth, then apply dilations to illustrate size changes. Facilitate a gallery walk where you can view and provide feedback on each other's models and coordinate grid exercises, fostering a collaborative learning environment. Write a reflective journal entry detailing the challenges and successes you experienced while applying dilations and congruence to your lesson.

Launch

Begin with an interactive storytelling session about a chicken's life cycle, highlighting its growth stages. Use visuals and props to illustrate transformations in size and shape. Then, transition to a hands-on activity where you create a timeline using coordinate grids to map the chicken's growth stages. Encourage you to predict and discuss how these transformations might be represented through dilations, translations, rotations, and reflections.

Exhibition

Organize a "Chicken Growth Transformation Showcase" where you display your clay models and coordinate grid exercises. Facilitate a gallery walk where you can view and provide feedback on each other's work, focusing on the application of dilations, translations, rotations, and reflections. Invite peers and teachers to engage with your models, asking questions about the transformation processes you used and the challenges you encountered.