Lesson Plans SET A for Grades 5-6-PDF Lesson 8- Level 5-6

PDF Lesson 8- Level 5-6 - 3D Geometry- Presentation
Pdf Summary
The document outlines activities and problems from the Math Kangaroo competition for Levels 5-6, focusing on 3D geometry. It includes various problem-solving scenarios and shapes commonly featured in the exam. Here's a summary of its contents:<br /><br />1. **Warm-Up Problem:** It begins with a warm-up problem from MK 1999, where participants are tasked with determining the number of bricks removed from a wall in an image.<br /><br />2. **3D Shapes Overview:** A table lists several 3D shapes, including cubes, rectangular prisms, triangular prisms, square pyramids, tetrahedrons, cylinders, cones, and spheres. The table provides information on the number of faces, edges, vertices, surface area, and volume formulas for each shape, serving as a helpful reference for understanding their geometric properties.<br /><br />3. **Example Problems:** <br />   - **MK 2003 #12:** Participants find the shortest path via cube edges from vertex A to its opposite vertex B.<br />   - **MK 2019 #10:** Comparing solids made of 8 identical cubes, the task is to determine which needs the most paint.<br />   - **MK 2004 #17:** Identifying the net of a cube after a corner is cut off.<br />   - **MK 2008 #18:** Determining which figure cannot be made by moving one block from a configuration of five blocks.<br />   - **MK 2017 #14:** Selecting the smallest box to contain a given figure.<br />   - **MK 2007 #14:** Calculating the decrease in surface area after removing a section from a block.<br />   - **MK 2014 #21:** Removing cubes from a 3x3x3 cube to achieve a specific view from all sides.<br />   - **MK 2020 #21:** Identifying the top view of an object among given options.<br /><br />4. **Wrap-Up and Bonus Questions:** The wrap-up emphasizes understanding 3D shapes, including their properties and formulas for surface area and volume. The bonus question (MK 2013 #30) challenges finding the largest possible total of outside numbers on glued cubes.<br /><br />This structured approach helps reinforce participants' understanding of 3D geometry concepts essential for problem-solving in mathematics.
Keywords
Math Kangaroo
3D geometry
problem-solving
shapes
cubes
prisms
pyramids
tetrahedrons
cylinders
spheres