Algebraic Expressions

Learning Intention:  Students will recognize equivalent algebraic expressions; represent the unknown in an equation; use properties of operation to generate equivalent expressions involving addition, subtraction, multiplication or division; identify equivalent number sentences; use symbols for equal and not equal. 

Success Criteria: 
 Students will be successful when they can recognize equivalent algebraic expressions and use properties of addition to create an equivalent algebraic expression. 

Essential Questions:
- What operation is needed in this problem?
- What are the known quantities and the unknown variable in the problem?
- What does the variable represent?
- What is the correct order for performing mathematical operations?
- How can the properties of operations be used to determine if two equations are equivalent?
- What is the difference between each of the numbers in this sequence?
- What is the rule for this sequence? 
Algebraic thinking is a process of solving problems in situations of adding to, taking from, putting together, taking apart and comparing, with unknowns in all positions. For early learners, using story problems or real-world scenarios, including use of manipulatives and models, are beneficial in helping students solve a problem. Students must reason when numbers are more than, less than or equal as they begin to recognize the meaning of the symbols +, - and = within an equation. 

Definitions:
Algebra: A generalization of arithmetic in which letter symbols are used to represent unknown quantities so that we can generalize specific arithmetic relationships and patterns.

Algebraic expression: An algebraic expression is made up of three things: numbers, variables and operation signs such as + and –. 

Standards Covered

Vocabulary

  • add
  • altogether
  • count
  • equal
  • equation
  • expression
  • simplify
  • solve
  • variable
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