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4 - Factoring & Multiples in Algebra

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(To teach, you will need one student workbook for each child, and a teacher edition for you.)

This, the fourth in the Doodles Do Algebra™ series is focused on the basics of factoring algebraic expressions and by extension learning to find the greatest common divisor and least common multiple of expressions in algebra. All of the techniques in this section will help your child in the more advanced topics covered in the rest of the Doodles Do Algebra™ curriculum. Just as in basic arithmetic, much of solving real-world problems depends on developing the skills necessary to manipulate math to more easily work a problem down to a manageable problem. Factoring is a critically important tool both in arithmetic as well as in algebra.

By the end this volume, your child will be ready to learn to solve systems of simple equations for unknowns, which is the subject of the next book.

  • Square of the Sum Theorem
  • Square of the Difference Theorem
  • Product of the Sum and Difference Theorem
  • Reciprocal and Unity Theorem
  • Prime and Composite Numbers
  • Prime Factors of Monomials
  • Composite Factors
  • Factoring Trinomials
  • Divisibility Rules
  • Cancelling Common Factors to Reduce Algebraic Fractions
  • Factoring Quadratic Trinomials
  • Greatest Common Divisor (GCD)
  • Least Common Multiple (LCM)

This fourth book in the Doodles Do Algebra™ curriculum takes all the basic techniques and vocabulary that your child learned in the first three books and guides your child through the next steps. As always, the process of learning a new part of algebra begins by learning the new vocabulary, including theorems, and following that with hand-on experience working algebra problems using the new techniques.

This curriculum is designed to accommodate the growing and changing maturity of a child throughout the year. In order to teach a child with this curriculum, a parent needs one copy of the Teacher Edition and one copy of the Student Workbook for each child.