Patterns and Perimeters in Geometry

The video tutorial introduces students to writing expressions using patterns. It covers identifying patterns in numbers and shapes, creating tables and graphs, and using algebraic expressions to model real-world situations. The lesson includes examples of patterns in artifacts and calculating perimeters using expressions. Students are encouraged to explore and draw figures, create tables, and understand the linear relationships in sequences.

What is the primary focus of the lesson on writing expressions?

• To memorize algebraic formulas

• To use patterns to write expressions

• To solve complex equations

• To learn about historical artifacts

Which of the following is NOT a method mentioned for modeling situations?

• Using tables

• Using graphs

• Using animations

• Using expressions

What did Mizing find interesting about the patterns in artifacts?

• They were geometric

• They were colorful

• They were simple

• They were ancient

How many boxes are in the first pattern described?

• 10

• 16

• 12

• 14

What is the difference in the number of boxes between the first and second patterns?

• 2

• 3

• 4

• 5

How many boxes are in the fifth figure according to the table?

• 28

• 30

• 26

• 24

What variable is used to represent the figure number in expressions?

• y

• x

• n

• z

What is the expression used to determine the number of small squares in any figure?

• 12 + 4n

• 12 + 4(n-1)

• 4n + 12

• 12n + 4

How many small squares are in the 12th figure?

• 56

• 52

• 60

• 48

What is the difference in the number of squares added in each new figure?

• 3

• 4

• 2

• 5