## NEW COURSE CHANGE

### The *9 Lines Intensive* is Now a Prerequisite Course for the

*4 Operations* and *Fractions* Courses (and All the Higher Level Courses)

**The 9 Lines Multiplication Fact Acquisition and Application Strategy**^{®}** is the most internationally renown of all the Making Math Real Simultaneous Multisensory Structured Methodologies K-12.** It is extremely effective, powerful and develops the automatic retrieval and immediate application of the 100 multiplication and the 100 division facts, which I consider to be **the most valuable mathematical developments students achieve in the elementary grades****.**

Automatic retrieval of the multiplication and division facts significantly reduces cognitive load within all problem solving related to multiplication and division involving whole numbers, fractions, decimals, polynomials, rationals, exponents, logarithms, etc. Therefore, once the 9 Lines Multiplication Fact Acquisition and Application Strategy^{®} has been introduced to students, it provides the necessary fact finding basis within the vast majority of problem solving content areas in mathematics from the time of its introduction (typically in early third grade) through calculus and beyond. Since the 9 Lines has direct connections to and applications for all the higher level Making Math Real courses: the* 4 Operations*, *Fractions*, *Pre-Algebra*, *Algebra 1, Algebra 2*, and *Geometry Part 1* and *Geometry Part 2*, the *9 Lines Intensive* course is now a mandatory prerequisite for all these higher level Making Math Real courses (see the List of Prerequisites).

**PRE-ALGEBRA READINESS: THE 4 OPERATIONS THROUGH FRACTIONS AND DECIMALS AND THE 400 MATH FACTS**

Completing fifth grade does not necessarily indicate students’ readiness for pre-algebra – only the full concept-procedure integration of the four operations through fractions and decimals and automaticity with the 400 math facts does. Success in pre-algebra relies heavily on the developments achieved in the elementary grades because the major fundamental for elementary grades mathematics is addition, subtraction, multiplication, and division through fractions and decimals when we know how much we have; and the major fundamental for algebra is also addition, subtraction, multiplication, and division through fractions and decimals, but in algebra, we may not know how much we have, because in algebra, there are variable expressions and variable equations. Additionally, the combination of learning fractions and decimals across the four operations and developing automaticity with the 400 math facts during the elementary grades directly supports the development of automaticity with the integer facts and rational numbers applications across the four operations necessary for simplifying variable expressions and solving variable equations. To cover this voluminous and essential foundation in elementary grades mathematics, I have created two seminars: Making Math Real: *The 4 Operations & 400 Math Facts* and Making Math Real: *Fractions, Decimals & Advanced Place Value*.

**SINCE SO MUCH OF THE CONTENT IN THE 4 OPERATIONS AND FRACTIONS COURSES IS BASED ON THE 9 LINES, IT PROVIDES MAXIMUM ADVANTAGE TO HAVE TAKEN THE 9 LINES INTENSIVE PRIOR TO THESE COURSES**

The most immediate practical applications of the 9 Lines Fact Acquisition and Application Strategy^{®} is structured for all the math in third through fifth grades that is related to multiplication and division with whole numbers, fractions and decimals. But the 9 Lines is related to much more than just the applications of multiplication and division. The 9 Lines is used to teach the Doubles addition facts and provides necessary support for almost all fraction applications including finding lowest terms and equivalent fractions, addition and subtraction with proper and mixed fractions with unlike denominators, Greatest Common Factors, cross simplifying fractions, Least Common Multiples, factoring whole numbers, primes and composites, prime factorization, transformations of mixed and improper fractions, comparing and ordering fractions, exponents, and more. All the math just listed is presented in the two essential foundational courses for pre-algebra readiness, Making Math Real: *The 4 Operations & 400 Math Facts* and Making Math Real: *Fractions, Decimals & Advanced Place Value*. In addition to learning the world’s best methodology for teaching the multiplication and division facts, learning the 9 Lines *before* enrolling in either of the two essential foundational courses provides maximum advantage for all Making Math Real course participants.

**TO FACILITATE FULFILLING THE 9 LINES INTENSIVE PREREQUISITE FOR THE 4 OPERATIONS AND FRACTIONS COURSES, IT IS OFFERED TWO TIMES PER YEAR, EVERY YEAR**

Making Math Real: *The 9 Lines Intensive* is offered twice each year, in spring and summer, and each offering is scheduled immediately after the spring and summer Making Math Real: *Overview K-12**.* Every year there are two opportunities to complete the powerful *9 Lines Intensive* prior to either of the two essential foundational courses, Making Math Real: *The 4 Operations & 400 Math Facts* and Making Math Real: *Fractions, Decimals & Advanced Place Value**,* each of which is offered every other fall. The next Making Math Real: *The 4 Operations & 400 Math Facts* is scheduled for fall 2023, and the next Making Math Real: *Fractions, Decimals & Advanced Place Value* is scheduled for fall 2024.

**DO NOT MISS OUT ON TAKING THE TWO MAKING MATH REAL ESSENTIAL FOUNDATIONAL COURSES – MAXIMIZE YOUR ADVANTAGE AND MAKE YOUR PLAN TO ENROLL IN THE 9 LINES INTENSIVE NOW**

Please visit the Making Math Real Calendar for Courses and List of Prerequisites pages to help you plan for the courses you want and need.

Be well and stay healthy.

*David Berg, E.T.*

Founder & Director of the Making Math Real Institute

Creator of the Making Math Real Simultaneous Multisensory Structured Methods

**SAVE THE DATE****The **Spring 2023** semester opens for registration on Oct. 26 @ 9:00 am PT and includes the Overview K-12, 9 Lines Intensive and new Mental Math Intensive mini-course.**

**FOR FURTHER READING:**