Math Level J

Concepts learned through Level I are expanded and reinforced in Level J. Students are introduced to advanced factoring methods, complex numbers, the discriminant, and the Factor and Remainder theorems. At the end of Level J, students conduct proofs of algebraic equalities and inequalities.

● Level J Goals:

• Expansion of Polynomial Products

• Factorization

• Fractional Expressions

• Irrational Numbers

• Quadratic Equations

• Quadratic Equations and Complex Numbers

• Discriminate

• Root-Coefficient Relationship

• Simultaneous Equations

• Dividing Polynomials

• Remainder Theorem

• Factor Theorem

• Proof of Identities and Equalities

• Proof of Equalities and Inequalities

● Good Work Skills in this level include:

• Reading directions and examples carefully

• Writing all example problems in their Kumon notebook

• Showing ALL STEPS

• Studying incorrect answers and erase only the part that is incorrect, then correct it

● Time Goal:

• 6-10 minutes per page

• The study time goal is approximately 30 minutes per day.

• Your Instructor will continually adjust the number of pages your child is studying to adhere to this goal

● Solution Manuals:

• Solution Manuals are available for check out by students

• Solution Manuals show the student step by step how to do Kumon problems

• If the student gets stuck, they may study the Solution Manual to learn how to do the steps correctly

• Once they have studied the steps, they should close the manual and then attempt the problem set

• They should not copy out of the Solution Manual

● Grading Reminders:

• Students must be able to learn from their mistakes daily

• Take the time to grade and let them find and correct their own errors independently

• Students can use what they have learned and apply it to the next day’s assignment allowing them to move smoothly and independently through the assignments.