Algebraic Reasoning

1
Algebraic Reasoning
2
Big Ideas!

• Logical patterns exist and are a regular
  occurrence in mathematics.
• Symbolism is used to express generalizations of
  patterns and relationships.

3
Big Ideas!

• Variables are symbols that take the place of
  numbers.
• Equations and inequalities are used to express
  relationships between two quantities.

4
Patterns

• Repeated Patterns

5
Patterns

• Growing Patterns

6
Variables

• A variable is a symbol that can stand for any one
  of a set of numbers or other objects.
• Children have difficulty translating real
  relationships into symbolic equations.

7
Example

• We all know there are 3 feet in a yard. Using F
  for feet, which of these equations correctly
  expresses this relationship 3F Y or F 3Y?

F 3Y
8
Equations and Inequalities

• Symbolism on either side of an equation or
  inequality represents a quantity.

9
Example

• Students will look at expressions like 35 or 4 x
  87 as commands or things to do the tells you
  to add or do something

10
A question for YOU!

• At what grade level should algebraic reasoning
  begin?