1. Factoring Patterns By Karen White

2. Factoring Patterns Students have learned to multiply binomials using FOIL, distributive, box, vertical and monkey face methods. Students will multiply given sets of binomials to derive the patterns that occur in the resulting polynomials. Students will then investigate two types of special polynomials, difference of squares and perfect square trinomials, to determine the easiest method to use for factoring these polynomials. The skills will be reinforced and assessed during several group activities and projects. The main project will require each student to make a memory game with a minimum of six difference of squares and six perfect square trinomials obtained from a master list. The students will then form groups and play the different games that were created. Students will be asked to write in their journal about recognizing and factoring these patterns. The writing may also include samples, diagrams, drawings, etc. Final assessment will be a test requiring students to factor special product trinomials.

3. Essential Question Math is the science of patterns. Are patterns created by multiplication?

4. Unit Questions What pattern is formed when a binomial is squared? What pattern is created when conjugate binomials are multiplied?

5. Content Questions Be proficient at multiplying binomials. What pattern is created when conjugate binomials are multiplied?

6. 21 st Century Skills

7. Assessment- Group Project Each group will derive patterns from given problems. The progress of the group work will be observed. Groups will then be chosen to present the patterns that they derived to the remainder of the class.

8. Assessment- Game Students will pick twelve problems from a hat and solve them. They will create a memory game using the questions and answers. Students will exchange and play each others games to become proficient at multiplying binomials and factoring polynomials.

9. Assessment- Journal Each student will be asked to document what they have learned about the patterns that are created when multiplying binomials. The students may use writing, drawing, or diagrams in their journal.