Lesson Plans SET B for Grades 7-8-PDF Lesson 8 Level 7-8 3D Geometry and Spatial Reasoning-Class Teacher

PDF Lesson 8 Level 7-8 3D Geometry and Spatial Reasoning-Class Teacher

Pdf Summary

The document outlines a Math Kangaroo Level 7-8 course focused on 3D Geometry and Spatial Reasoning. It lays out the lesson structure, which includes a warm-up, instruction, problem-solving exercises, a Genius Hour, and a wrap-up. The instruction covers essential concepts such as nets and cubes, opposite sides, counting painted faces, scale factors, and strategies for solving 3D problems. <br /><br />The course emphasizes understanding 3D geometry by visualizing objects in 3D space like cubes, prisms, and spheres, and applying spatial reasoning to predict how objects look after transformations such as rotations or unfolding. Students are taught a 4-step problem-solving strategy: understanding the problem, planning, executing, and reflecting on the solution.<br /><br />Several sample contest problems are presented to enhance understanding, such as identifying parts of a colored cube, calculating the requirements to construct a larger cube from smaller ones, and understanding scale factors. Additional tasks include problems related to painted cubes and calculating the surface areas of prisms.<br /><br />The document also introduces a Genius Hour project where students work independently using the concepts learned to present solutions to problems. Students are encouraged to create two slides, detailing the problem and solution, and then make a short presentation.<br /><br />To wrap up, the course invites students to reflect on what they've learned, address any areas of ambiguity in 3D or spatial problem-solving, and discuss any unsolved problems. <br /><br />Overall, the course is designed to foster mathematical understanding and problem-solving skills through engaging with real-world and theoretical 3D challenges.

Keywords

Math Kangaroo

3D Geometry

Spatial Reasoning

Problem Solving

Nets and Cubes

Scale Factors

Genius Hour

Transformations

Surface Areas

Prisms