Making Math Real: The 4 Operations & The 400 Math Facts Part 1

Making Math Real: The 4 Operations & the 400 Math Facts Part 1

22 half-day Distance Learning Course  |  9:00 am to 1:30 pm daily  [Pacific Time]
Registration Fee:  $2,849 for tuition & materials binder (shipped)
6 optional academic units
 [see below]


MANDATORY PREREQUISITE:  All students who enroll in this course must have completed the Making Math Real: Overview K-12 and the 9 Lines Intensive courses

IMPORTANT NOTE ABOUT THE 9 LINES: It is now a mandatory prerequisite to have also completed Making Math Real: 9 Lines Intensive as this course provides the complete structure for teaching and developing automaticity for the 100 multiplication facts, which greatly supports the content of the 4 Operations & the 400 Math Facts Part 1 course.


This course continues the fundamental development from the Overview K-12 and 9 Lines Intensive courses for implementing a comprehensive, practical, systematic, and simultaneous multisensory structured methodology in basic mathematics.  It is designed for educational therapists, special educators, and elementary and secondary classroom teachers.  Parents and those who consider themselves non-math majors are especially encouraged to enroll.

This course provides the first part of the essential foundation upon which all mathematics will develop: the 4 operations and the 400 math facts and is the domain of K-2nd grade.  The kindergarten through second grade years in math are the most critical for a successful K-12 development in mathematics. It has been my experience that the majority of student challenges in math across all grades 3-12 can be traced to gaps in development during the crucial K-2 fundamental development. The K-2 foundation provides the basis for cognitive development in math for the grades K-5, and all mathematical applications through algebra and beyond.  Over the course of 22 half-days, participants learn how to provide students with this extremely valuable foundation in math in a dynamic, innovative, intensive, hands-on approach that makes learning successful, fun, and accessible for all students.

Topics include comprehensive methods for teaching the acquisition of all math facts for addition and subtraction with full units in the concept-applications of addition and subtraction problem solving, basic place value, number concepts, and comparing and ordering 2 and 3-digit numbers.  Extension and enrichment activities for each unit are presented.  These methods are simplified, practical and ready for immediate professional use in classrooms, private practice or at home.

Course emphasis will be on all included concept-applications presented in their correct scope and sequence across the grades including:


  • Concepts of place: decoding and encoding 2 and 3-digit numbers
  • Concepts of place value: expanded notation for 2 and 3-digit numbers
  • Standard form to expanded form, and expanded form to standard form
  • Standard form to word form, and word form to standard form
  • The derivation of the equals sign and the inequality symbols
  • Comparing and ordering 2 and 3-digit numbers
  • Levels 1-6 of Base 10 puzzles


  • Concepts of addition
  • Counting on
  • Addition problem solving: adding 1 to 3-digit addends without renaming
  • Addition problem solving: partial sums and renaming in addition through 999
  • 3 or more single-digit addends
  • Column addition with 2 and 3-digit addends with and without renaming
  • The 100 Addition Facts: developing automaticity


  • The two distinct concepts of subtraction: take away and difference
  • Counting up
  • Subtraction problem solving: transforming minuends and renaming in subtraction
  • Subtraction problem solving: transforming minuends and renaming in subtraction across 0s
  • The 100 Subtraction Facts: developing automaticity


  • Addition and subtraction facts
  • Addition and subtraction problem solving with and without renaming

Extensive color-coding is a critical element of the structure. Please bring 4 colored pens or pencils in blue, green, red and black.

Published on August 19th, 2017
The 4 Operations and The 400 Math Facts: The Essential Building Blocks for All Future Mathematics


Optional Academic Credit Costs & Registration: Optional units of credit are available for select courses at the low cost of $134 per unit, paid directly to CSUEB Continuing Education, by the last day of every course.  CSUEB Online credit registration and payment instructions, along with the MMR grading policy, will be provided on the first day of every class. All credit registrations and payments must be submitted online through CSUEB’s website by the end of each course. No exceptions.

∞  List of Prerequisites
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