Understanding Patterns and Expressions

Mr. Morrow's algebra class covers patterns and expressions, explaining how patterns can be represented using diagrams, words, numbers, or algebraic expressions. The lesson delves into mathematical quantities, constants, and variables, and demonstrates how tables can organize data and recognize patterns. Examples include determining the number of sides in geometric figures and analyzing aquarium tank sizes using graphs. The class concludes with a homework example to reinforce learning.

What are some ways patterns can be represented?

• Only numbers and algebraic expressions

• Only diagrams and words

• None of the above

• Diagrams, words, numbers, algebraic expressions

What is the next shape in the sequence: triangle, square, pentagon, hexagon?

• Octagon

• Heptagon

• Nonagon

• Decagon

In the colored squares pattern, how many squares are added to each side in the next figure?

• One

• Three

• Four

• Two

What is a constant in mathematical terms?

• A symbol that represents a changing value

• A number that does not change

• A mathematical operation

• A variable that changes

What distinguishes a numerical expression from an algebraic expression?

• Numerical expressions include variables

• Algebraic expressions include variables

• Both include variables

• Neither include variables

How can tables help in recognizing patterns?

• By organizing data

• By deleting data

• By confusing data

• By hiding data

What is the formula to calculate the number of sides in the nth figure?

• n - 4

• n/4

• 4n

• n + 4

If you have 17 inches of fish, what is the smallest tank size you need?

• 30 gallons

• 25 gallons

• 20 gallons

• 15 gallons

How much do six plats cost if each plat costs $2?

• $16

• $14

• $12

• $10

Why is the graph of plat costs a set of points?

• Because plats can be bought in fractions

• Because plats must be whole numbers

• Because the cost is variable

• Because the cost is fixed