Math through Discovery

Many new teachers and experienced teachers are looking for ideas for teaching the concept of multiplying monomials and binomials or factoring polynomials. I have created 12 lessons on these concepts. Each lesson includes an explanation of the technique being studied and a set of problems for the students to complete based upon the explanation. The idea presented in the explanation could become part of the teacher's presentation of the topic. Or the teacher can hand the explanation to the students and have them study it explanation on their own. Each lesson comes with a complete set of answers.

The rectangular box method is used to complete the multiplication of binomials. After students become comfortable with multiplying binomials, students are challenged with trying to find two binomials that multiply together to make a trinomial. Students are encourage to try to use the rectangular box method in reverse. As students work with the rectangular box they discover that they need to take the middle term of the trinomial and split it into two monomials. Students look for four greatest common factors and then confirm that the two binomials they have found do multiply together to make the trinomial.

These 12 lessons can be purchased separately or at a reduced price at a bundle.

The 12 lessons are

1.Multiplying Monomials

2.Multiplying Monomials and Binomials

3.Multiplying General Binomials with Leading Coefficients of 1

4.Multiplying Binomials with Leading Coefficients of 1

5.Looking for Patterns When Multiplying Binomials with Leading Coefficients of 1

6.Multiplying Binomials with Leading Coefficients Not Equal to 1

7.Multiplying Special Binomials

8.Practice Multiplying Binomials

9.Reverse Multiplying (Factoring) Polynomials with Leading Coefficients of 1

10. Reverse Multiplying (Factoring) Polynomials with Leading Coefficients Other than 1

11. Factoring by Grouping