Lesson 01: Tiling the Plane | Unit 1: Area and Surface Area

Open Ended

Which square—large, medium, or small—covers more of the plane? Explain your reasoning.

Draw

Draw three different quadrilaterals, each with an area of 12 square units.

Draw

Use copies of the rectangle to show how a rectangle could tile the plane.

Draw

Use copies of the rectangle to show how a rectangle could _not_ tile the plane.

Multiple Select

The area of this shape is 24 square units. Select **all** the statements that are true about the area.

• The area can be found by counting the number of squares that touch the edge of the shape.

• It takes 24 grid squares to cover the shape without gaps and overlaps.

• The area can be found by multiplying the sides lengths that are 6 units and 4 units.

• The area can be found by counting the grid squares inside the shape.

• The area can be found by adding $$4 \times 3$$ and $$6 \times 2$$ .

Draw

Here are two copies of the same figure. All angles are right angles. Show two different ways for finding the area of the shaded region.

Open Ended

A student said, “We can’t find the area of this shaded region because the shape has many different measurements, instead of just a length and a width that we could multiply.” Explain why the student’s statement about area is incorrect.