Lesson Plans SET B for Grades 7-8-Lesson 6 - B Grades 7-8 - Lesson 6 2D Geometry

Lesson 6 - B Grades 7-8 - Lesson 6 2D Geometry - Homework

Pdf Summary

The document provides a set of geometry problems designed for advanced-level students (Level 7-8), as part of a Math Kangaroo class. These problems center around 2D geometry concepts and are intended to reinforce classroom learning. Here's a brief summary of each problem and the corresponding solution:<br /><br />1. **Perimeter Difference**: Two 2D shapes with sides parallel are provided, and the task is to find the difference in their perimeters. The solution reveals that the difference is 42 units.<br /><br />2. **Angle Bisector Problem**: In triangle ABC, AD is the bisector meeting BC at D, with given side lengths of AB = 10 cm, AC = 14 cm, and BC = 6 cm. Using the angle bisector theorem, which relates the segments on either side of the bisector to the lengths of the other sides of the triangle, BD is calculated to be 2.5 cm and DC to be 3.5 cm.<br /><br />3. **Shaded Area Fraction**: Six equal shaded rectangles are placed within a square with a side length of 40 cm. The problem is to determine the fraction of the square's area that is shaded. It is calculated that \(\frac{3}{16}\) of the square is shaded.<br /><br />4. **Area Difference in Square**: In square ABCD with a side length of 20 cm, M is the midpoint of AD, and MN is perpendicular to AC. The task is to find the area difference between two specific regions (MDC and MCN). The difference is determined to be 25 cm².<br /><br />5. **Particle Movement**: A particle moves in the first quadrant following a specific back-and-forth pattern, and the goal is to find its position after exactly one hour. The particle reaches the point (10,10).<br /><br />Support materials mentioned include class notes, annotated slides, or class recordings for further review.

Keywords

geometry problems

advanced-level students

Math Kangaroo

2D geometry

perimeter difference

angle bisector

shaded area fraction

area difference

particle movement

classroom learning