Making Math Real: Advanced Place Value
8 half-day Distance Learning Course | 9:00 am to 1:30 pm daily [Pacific Time]
Registration Fee: $999 for tuition & materials binder (shipped)
∞ CALENDAR FOR COURSES
∞ LIST OF PREREQUISITES
∞ REGISTER
∞ 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 it is STRONGLY RECOMMENDED to have completed the Making Math Real: The 4 Operations and the 400 Math Facts Part 1 and Part 2
PREREQUISITE FULFILLMENT NOTE: Successful completion of the Advanced Place Value 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: The 4 Operations and the 400 Math Facts Part 1 and Part 2, this course provides the essential bridge linking the synthesis of the 4 operations and the 400 math facts to algebraic processing and development. Advanced place value and its related applications are required tools for successful mathematical processing through calculus.
Making Math Real: Advanced Place Value continues the progression for algebra readiness as the essential foundation for decimals, 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 Part 1 and Part 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.
ADVANCED PLACE VALUE
The development of number sense is directly related to the development of place and place value. This development is essential as it provides the foundation upon which all number-based mathematics will be derived, such as decimals, and therefore, the concepts and applications of place and place value must be the first unit in every grade, K-5. “Advanced” place value refers to the decoding and encoding of numbers from the 1,000s period through the billions period (100 billions) in standard and alternate number forms, whereas baseline place value, the essential fundamental for advanced place value, covers the decoding and encoding of standard and alternate number forms from 1 through 999 and is the domain of K-2nd grade and is covered in Making Math Real: The 4 Operations and 400 Math Facts Part 1.
In addition to decoding and encoding numbers in standard and alternate number forms, the advanced place value unit also includes place value-related applications, such as rounding and estimating and the development of sequencing and numeration by crossing place value landmarks counting forward and backward by any and all values, ones through 100 billions.
Course emphasis will be on developing number sense through all place value concept-applications presented in their correct scope and sequence across the grades 3 – 5 including:
- Decoding and encoding numbers in standard form for the periods of thousands through billions
- Decoding and encoding standard form to word form, and word form to standard form for the periods of thousands through billions
- Decoding and encoding standard form to expanded form, and expanded form to standard form for the periods of thousands through billions
- Decoding and encoding standard form to exponent form, and exponent form to standard form for the periods of units through billions
- Rounding to the nearest 0.01 through rounding to the nearest 100 billion
- Estimation and the four operations with estimation
- Development of number sense through a series of structured “Base 10 Puzzles”
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