Lesson 11 Area and the Multiplication Table
Let’s explore area and the multiplication table.
Warm-up How Many Do You See: Arrays that Grow
How many do you see? How do you see them?
Activity 1 Area and the Multiplication Table
Problem 1
What do you notice? What do you wonder?
Problem 2
Use the blank table to create your own rectangle.
Start from the top left corner. Record the product that the rectangle represents. Be prepared to explain your reasoning.
Problem 3
Use the following table to create a rectangle with an area of 24 square units. Start from the top left corner. Record the product that the rectangle represents. Be prepared to explain your reasoning.
Activity 2 Products in the Multiplication Table
Problem 1
What do you notice? What do you wonder?
Problem 2
Find as many other products in the table as you can. You may want to start with rows and columns that show products of 2, 5, and 10.
Problem 3
What patterns do you see in the row and column that show products of 5?
Problem 4
Write some equations that show one of the patterns that you see in the multiplication table. Explain or show your reasoning.
Practice Problem
Problem 1
Describe some patterns that you see for the numbers in the table.
Describe one of the patterns you saw using an equation.