What is a pre-assessment for the introduction to determine what prior knowledge they have, or need to have, or need to review before completing the task/activity you designed. It might include a rating scale or table, or just mathematical questions that assess or remind students of prior knowledge/vocabulary/skills.

Task A class is planning to make a vegetable garden for science class. The size of the garden will be 72 square feet. If the shape of the garden is a rectangle, how many different rectangle shapes can the class make? Each side of the garden will be a whole number of feet.

Here is the answer:

The class can make up to 6 different rectangle shapes with a garden of size 72 square feet.

Area of a rectangle = length x width

With a given rectangle area of 72 ft²

• The factor pairs of 72 (length x width) are: 1 72 = 72, wherein the length and width of the rectangle can be either 1 and 72 ft and vice versa. 2 36 = 72, wherein the length and width of the rectangle can be either 2 and 36 ft and vice versa. 3 24 = 72, wherein the length and width of the rectangle can be either 3 and 24 ft and vice versa. 4 18 = 72, wherein the length and width of the rectangle can be either 4 and 18 ft and vice versa. 6 12 = 72, wherein the length and width of the rectangle can be either 6 and 12 ft and vice versa. 8 9 = 72, wherein the length and width of the rectangle can be either 8 and 9 ft and vice versa.