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

PDF Lesson 8- Level 5-6 - 3D Geometry- Teacher file

Pdf Summary

This Math Kangaroo lesson for Level 5-6 focuses on important concepts in 3D geometry. It introduces basic 3D shapes, their properties, and solving a variety of problems related to these shapes. Students explore how 3D shapes, composed of 2D surfaces, have faces, edges, and vertices, and they practice calculating surface area and volume for various geometric solids.<br /><br />The session is segmented into several parts:<br />- **Warm-Up**: Students solve a problem involving counting bricks removed from a wall.<br />- **Instruction**: Overview of 3D shapes, face-edge-vertex conventions, and essential geometric vocabulary.<br />- **Problem Solving**: Tackles specific Math Kangaroo competition questions that test practical understanding of 3D concepts. For example: <br />  - Determining the number of shortest paths between two cube vertices.<br />  - Calculating the paint needed for various solids.<br />  - Identifying the net of a cube with a corner removed.<br />  - Rearranging blocks to match given configurations.<br />  - Choosing the smallest box for a specific figure.<br />  - Evaluating changes in surface area after sections are removed from a block.<br />  - Determining cube modifications to achieve a specific view.<br />  - Visualizing an object from above.<br /><br />A notable problem involves calculating the maximum sum of visible numbers on externally glued cubes. The solution requires logical consideration of number positioning and surface exposure.<br /><br />The lesson concludes with a wrap-up, reiterating the properties of 3D shapes and touching on students’ project work during Genius Hour, where they create and present their own geometric problems. An optional homework assignment involves solving select Math Kangaroo problems, reinforcing concepts practiced in class.<br /><br />By tackling various practical challenges, this session enhances students’ spatial reasoning and their ability to apply geometric principles in problem-solving scenarios.

Keywords

3D geometry

Math Kangaroo

3D shapes

surface area

volume calculation

problem solving

spatial reasoning

geometric solids

face-edge-vertex

Genius Hour