**Making Math Real: Decimals**

**12 half-day Distance Learning Course | 9:00 am to 1:30 pm daily ** [Pacific Time]

** Registration Fee: $1,549 for tuition & materials binder (shipped)
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∞ **CALENDAR FOR COURSES
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**LIST OF PREREQUISITES**

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**REGISTER**

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**DISCOUNTS & SAVINGS**

**MANDATORY PREREQUISITE**: All students who enroll in this course must have completed the *Making Math Real: Overview K-12, *the* 9 Lines Intensive*, and *Making Math Real:* *Fractions*; and it is **STRONGLY RECOMMENDED** to have completed *Making Math Real:* *The 4 Operations and the 400 Math Facts Part 1* and *Part 2* as well as *Making Math Real: Advanced Place Value*

**PREREQUISITE FULFILLMENT NOTE:** Successful completion of the *Decimals* course fulfills a partial prerequisite for taking the *Pre-Algebra* course. All three courses, Making Math Real: *Fractions, *Making Math Real:* Decimals, *and Making Math Real:* Advanced Place Value* are the combined prerequisites for enrolling in the *Pre-Algebra* course.

**COURSE DESCRIPTION:**

Making Math Real is a simultaneous multisensory structured methodology wherein each current mathematical development directly builds the foundation for the next. Continuing from Making Math Real:* Fractions*, and Making Math Real:* Advanced Place Value, *this course provides the essential bridge linking the synthesis of the 4 operations and the 400 math facts to algebraic processing and development. Decimals and their related applications are required tools for successful mathematical processing through calculus.

Making Math Real: *Decimals* continues the progression for algebra readiness as the essential continuation of fractions and their applications, as decimals *are* fractions expressed in place value code. For further reading on this subject, please see the following article (below): *Fractions, Decimals & Advanced Place Value – The Three Essential Elements of Algebra Readiness*

The baseline readiness from the elementary grades for pre-algebra is the four operations through fractions and decimals and the 400 math facts. Therefore, to be ready for algebra, students need all the content and development provided in Making Math Real: *The 4 Operations and the 400 Math Facts *Parts 1 and 2, and to complete the preparation for algebra readiness, the three courses Making Math Real: *Fractions, *Making Math Real: *Decimals, *and Making Math Real:* Advanced Place Value*.

**DECIMALS**

Since decimals are fractions expressed in place value code (base 10 and powers of 10 codes), all decimal concept applications *must* follow the respective fractions concept applications within a developmentally and instructionally correct scope and sequence. The indicated time for introducing decimals and their concept applications is in 4th grade. Consequently, students should have previously integrated the fractions concept applications from K through mid-4th grades as the foundation for now expressing and applying decimals in their code format directly connected to the respective applications in fractions format.

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

- Concepts of “decimal-fractions”
- Decoding and encoding mixed and simple decimals through the 0.001s place
- Decimal Place Value applications
- Decimal equivalence
- Comparing and ordering decimals
- Rounding and estimating decimals through the 0.001s place
- Decimals on the number line
- Addition and subtraction with decimals
- Increasing and decreasing decimals by powers of 10
- Multiplication and division with decimals
- Decimal long division

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

**RELATED ARTICLE:** Fractions, Decimals & Advanced Place Value – The Three Essential Elements of Algebra Readiness

**FROM THE DESK OF DAVID BERG, ET:**

*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

∞ Calendar for Courses