Introduction to algebra

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Teaching Outlines

Concept #1 Algebraic thinking - Abstraction

Learning objectives

  1. To make meaning from patterns
  2. Able to extend patterns
  3. Able to state observed pattern in generalized terms
  4. Generalization; and stating in algebraic terms
  5. Algebraic variables can be “x” or “y” or “a” of “b”
  6. Combining algebraic terms – commutative and distributive properties
  7. Making simple expressions (addition, subtraction of multiple algebraic terms)
  8. Introduction to terminology called monomial, binomial, etc.

Notes for teachers

Abstraction is generalizing the thinking. So here will focus on activities to build skills of generalization.

Activities

  1. Activity 1 - Match stick abstraction
  2. Activity 2 - More Match sticks!!

Concept #2 Algebraic thinking - Arithmetic Abstraction

Learning objectives

Notes for teachers

Activities

  1. Activity 1 - Play with numbers
  2. Activity 1 - Play with more numbers


Concept #3 Algebraic thinking - Forming expression

Learning objectives

Notes for teachers

Activities

Activity No #

  • Estimated Time
  • Materials/ Resources needed
  • Prerequisites/Instructions, if any
  • Multimedia resources
  • Website interactives/ links/ / Geogebra Applets
  • Process/ Developmental Questions
  • Evaluation
  • Question Corner

Activity No #

  • Estimated Time
  • Materials/ Resources needed
  • Prerequisites/Instructions, if any
  • Multimedia resources
  • Website interactives/ links/ / Geogebra Applets
  • Process/ Developmental Questions
  • Evaluation
  • Question Corner

Concept #4 Algebraic thinking - Manipulating algebraic expressions

Learning objectives

Notes for teachers

Activity No #

  • Estimated Time
  • Materials/ Resources needed
  • Prerequisites/Instructions, if any
  • Multimedia resources
  • Website interactives/ links/ / Geogebra Applets
  • Process/ Developmental Questions
  • Evaluation
  • Question Corner

Activity No #

  • Estimated Time
  • Materials/ Resources needed
  • Prerequisites/Instructions, if any
  • Multimedia resources
  • Website interactives/ links/ / Geogebra Applets
  • Process/ Developmental Questions
  • Evaluation
  • Question Corner

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