Math Examples: Area with Pattern Blocks: Example 4

Topic

Geometry

Description

This example demonstrates area calculation using a hexagonal figure flanked by two trapezoids. Each triangle within the shape has an area of 1 square unit, and each trapezoid is composed of three triangles. The total area is determined by summing the areas of all components, resulting in 12 square units.

Pattern blocks are effective tools for teaching geometry, allowing students to physically manipulate shapes and understand their properties. This collection of examples illustrates how different combinations of shapes can form larger figures, reinforcing concepts of area addition and spatial reasoning.

Exposure to multiple worked examples is crucial for students to develop a comprehensive understanding of geometric principles. Each example in this series presents a unique configuration of shapes, challenging students to apply their knowledge in various contexts and recognize the relationships between different pattern blocks.

Teacher Script: "Take a look at this figure with a hexagon in the middle and trapezoids on the sides. Each small triangle has an area of 1 square unit. Can you count how many triangles make up the entire figure? How many are in the hexagon, and how many in each trapezoid? Now, let's think about how we can use this information to calculate the total area of the entire shape."

For a complete collection of math examples related to Geometry click on this link: Math Examples: Area with Pattern Blocks Collection.