Lesson Plans SET A for Grades 7-8-Lesson 6 Level 7-8 3D Geometry and Spatial Reasoning-Homework

Lesson 6 Level 7-8 3D Geometry and Spatial Reasoning-Homework

Pdf Summary

The provided document contains a series of geometry and spatial reasoning problems designed for students at Level 7-8, typical of the Math Kangaroo competition. These problems are meant for students to practice and refine their understanding of 3D geometry concepts. Specific details from the lesson are as follows:<br /><br />1. **Joey's Cubes**: The first problem involves determining the maximum number of cubes Joey could use, given a top view and one side view of his stacked cubes. The solution to this problem is given as "25" cubes.<br /><br />2. **Cubical Plan**: The second problem involves a cube created from a specified plan, and the task is to identify the least product of three numbers located on three contiguous cube sides. The answer provided is "6".<br /><br />3. **Folding and Cutting**: Another problem involves folding rectangular paper into quarters and cutting out a pentagon. The challenge is to envision the shape the cutout would form when the paper is unfolded. However, the document does not specify the solution.<br /><br />4. **Unspecified Problem (Marked 4)**: The document includes a fourth problem or question indicated by the number "4," with the answer marked as "D," but no further context or detail is provided in the text.<br /><br />5. **Colored Cube**: The fifth problem involves determining the design of the sixth side of a 3x3x3 cube consisting of 13 black and 14 white smaller cubes when five sides are visible. The answer is not specified in the text.<br /><br />These problems leverage visual reasoning, combinatorial structures, and spatial visualization skills, reflecting the focus on 3D geometry for the class. Students are encouraged to refer to their notes or any supplementary materials provided during the lesson to solve these tasks.

Keywords

geometry

spatial reasoning

3D geometry

Math Kangaroo

Joey's cubes

cubical plan

folding and cutting

colored cube

visual reasoning

combinatorial structures