Teaching area of compound figures can seem complex but with the right activities, students can easily understand how to calculate the total area.

One such activity is to introduce the concept of compound figures by breaking down the shape into smaller, familiar shapes. For example, a compound figure might be made up of triangles, rectangles, semicircles and quarter circles. First, students can practice calculating the area of each individual shape, and then combine them to find the total area of the compound figure.

Using interactive lesson plans, real-world examples and hands-on activities can help students grasp the concept of compound figures. Here are some activities that will help students learn the area of compound figures with triangles, semicircles and quarter circles:

1. Real-world examples: Students can be presented with real-life examples of compound figures such as a football stadium or a swimming pool which contains semicircles and quarter circles. They can be asked to find the area of these shapes by identifying and breaking them down into smaller shapes.

2. Sorting activity: Students can sort shapes into categories of triangles, semicircles, and quarter circles with the help of cutouts or flashcards. Once the students are familiar with these shapes, they can be asked to combine them to from a compound figure.

3. Create their own compound figure: Students can be given strips of colored paper to create a compound figure that contains triangles, semicircles and quarter circles. Once they have created the compound figure, they can measure and calculate its area.

4. Puzzle activity: Compound figure puzzles can be created with shapes representing triangles, semicircles and quarter circles, and the students can be asked to find the total area of the compound figure.

5. Interactive lesson plans: Interactive lesson plans in software such as Microsoft PowerPoint can be used to display the shapes and have students participate in a number of activities including grouping, measuring and rearranging the shapes to form compound figures.

In conclusion, teaching the area of compound figures with triangles, semicircles and quarter circles can be made interesting and easy for students with the help of various activities. By breaking down the shapes into smaller, familiar shapes and presenting real-life examples, teachers can make math fun and engaging for their students.