Lesson Plans SET A for Grades 5-6-Homework Level 5-6 Lesson 7

Homework Level 5-6 Lesson 7 - 2D Geometry

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This Math Kangaroo homework for Class Level 5-6 focuses on 2D geometry, covering different problem-solving scenarios. Here's a summary of the problems and their solutions:<br /><br />1. **Square within a Square**: Cathy draws a 10 cm square, then forms a smaller square by connecting the midpoints of the large square’s sides, repeating this process once more. The area of the smallest square is calculated to be 25 cm².<br /><br />2. **Coloring a Fraction of a Square**: The problem involves identifying a colored portion within a square, where only 1/16 of the larger square is colored. The correct identification is marked as option (B).<br /><br />3. **Convex Angles from a Vertex**: In this problem, rays with a common vertex P are used to form convex angles. The task is to count and measure these angles. There are 8 distinct convex angles with measures of 20, 50, 60, 80, 100, 110, 140, and 160 degrees.<br /><br />4. **Frame Width Calculation**: A rectangular painting's frame is made with wooden pieces of consistent width. The outer perimeter of this frame extends 12 decimeters beyond the inner perimeter. The width of the frame pieces is determined to be 1.5 dm.<br /><br />5. **Area of Shaded Figure with Triangles**: The shaded figure comprises seven identical isosceles right triangles. The problem requires calculating the area of this shaded region, which totals 112 cm².<br /><br />These problems present a combination of geometric constructions, measurements, and conceptual understanding pertinent to elementary-level geometry, thus enhancing critical thinking and spatial reasoning skills in students.

Keywords

Math Kangaroo

Class Level 5-6

2D geometry

problem-solving

Square within a Square

Convex Angles

Frame Width Calculation

Area of Shaded Figure

elementary geometry

spatial reasoning