# CRA Approach

The CRA approach to mathematics bridges the gap between tangible manipulatives and abstract number systems (Making Education Fun, 2012).

**Purpose of Strategy/Approach**

Use the CRA method to teach polynomial multiplication will allow students to “see” and interact with the concept before memorizing the algorithm. The concrete stage allows students to manipulate Algebra Tiles as representations of variables and units. Next students experience the representational stage by creating diagrams to represent the problems. Finally, students will be required to complete the algorithm without any concrete or representational assistance. The research indicates that CRA can be very effective in assisting students with understanding an algorithm even if they do not have a lot of experience at concrete and representational levels.

**Rationale of Lesson **

Understanding how to perform the arithmetic operation of multiplication on polynomials is fundamental to understanding that polynomials form a system analogous to the integers, namely they are closed under the operations of addition, subtraction, and multiplication and can be added, subtracted, and multiplied.

**Acknowledgment of Content Expert and Consultants **

Dr. Francine Johnson

# Support Materials

**Cue Cards of Basic Standard Forms of Polynomials**

**Answer Key: Concrete Stage Handout**

**Representational Stage Handout**

**Answer Key: Representational Stage Handout**

**Multiplying Polynomials using Grid and FOIL Method Handout**

**Answer Key: Multiplying Polynomials using Grid and FOIL Method Handout**