Finding Areas of Rectangles and Shapes

Mr. Richards introduces a lesson on tiling the plane, focusing on tiling patterns and area. The lesson includes six questions: comparing square sizes, drawing quadrilaterals with a specific area, exploring how rectangles can tile a plane, evaluating area calculation statements, finding the area of a shaded region using different methods, and comparing the areas of a rectangle and a square. The lesson emphasizes understanding area through practical examples and reasoning.

What is the main focus of the lesson on tiling the plane?

• Studying angles

• Learning about perimeter

• Exploring tiling patterns and area

• Understanding volume

If 9 small squares equal 1 large square, how many small squares are equivalent to 5 large squares?

• 45 small squares

• 50 small squares

• 40 small squares

• 35 small squares

How many medium squares are equivalent to 10 medium squares?

• 45 small squares

• 40 small squares

• 30 small squares

• 50 small squares

Which size of square covers more of the plane?

• All cover the same

• Medium squares

• Small squares

• Large squares

What is the equivalent of 9 small squares in terms of large squares?

• 2 large squares

• 4 large squares

• 3 large squares

• 1 large square

How many small squares are equivalent to 1 medium square?

• 2 small squares

• 3 small squares

• 4 small squares

• 5 small squares

What is the area of a 4 by 3 rectangle?

• 16 square units

• 10 square units

• 14 square units

• 12 square units

Which of the following is a quadrilateral with an area of 12 square units?

• 6 by 1 rectangle

• 4 by 3 rectangle

• 3 by 3 rectangle

• 5 by 2 rectangle

What is the area of a 6 by 2 rectangle?

• 16 square units

• 10 square units

• 14 square units

• 12 square units

What is the area of a 12 by 1 rectangle?

• 10 square units

• 12 square units

• 14 square units

• 16 square units