## Instructional Materials for Course Participants

**Each instructional support product is described in detail below, in addition to a Full Catalog of Blackline Master Binders with pop-out tables of contents, at the bottom of the page:**

**SPECIAL NOTE: ** The brand new book, **Fractions III: Comparing and Ordering Fractions**, is the course reader for the upcoming intensive mini-course, *Comparing & Ordering Fractions*, which starts on February 13, 2021, and this brand new book will be shipped to you prior to the start of the class and is included as part of the course tuition. Enrollment is still open for the intensive mini-course. **REGISTER TODAY!**

** Celebrating 25 Years! NEW Product in the Series:** Making Math Real is pleased to announce the publication of

**Fractions III: Comparing and Ordering Fractions**, which continues the Making Math Real Fractions Books Series including

**Fractions I**,

**Fractions IIA**, and

**Fractions IIB**. This new book is the culmination of many years in the making. It provides comprehensive coverage and systematic incrementation for both mental and mathematical applications for developing the essential fraction number sense for understanding and applying fraction magnitude, and is divided into two sections: SECTION 1: The Four Styles of Comparing, Ordering, and Rounding Fractions Mentally, and SECTION 2: The Eight Levels of Comparing and Ordering Fractions Mathematically. These two sections provide:

- Most efficient structures, mental and mathematical, for all categories of fraction comparison
- Complete concept-applications for developing fraction number sense*
- Developing numerator/denominator relationships: the perceptual basis for understanding, applying, and classifying fraction magnitude by respective categories
- Excellent preparation for algebra readiness
- Highest order development and applications of mental flexibility and detail analysis

In addition, **Fractions III: Comparing and Ordering Fractions** includes:

- 181 pages of the specific incremental and systematic sequences for developing mental and mathematical applications for comparing, ordering and rounding fractions
- Comprehensive leveled practice
- Extensive mixed practice throughout
- Teacher answer key for every page
- Ideal for classroom and/or private practice

* Fraction-related applications present one of the largest domains in the K-12 development of mathematics, as fractions are included within the scope and sequences of every grade spanning kindergarten through calculus; and according to research, fractions and their applications, especially the comprehension and applications of fraction magnitude, have remained at an 80% failure rate nationwide for decadesª.

ª *Hard Lessons: Why Rational Number Arithmetic Is So Difficult for So Many People* Robert S. Siegler and Hugues Lortie-Forgues, Current Directions in Psychological Science, 2017, Vol. 26(4) 346–351.

**Fractions III: Comparing and Ordering Fractions** is exclusively available to course participants who have completed Making Math Real: *Fractions, Decimals & Advanced Place Value**.*

∞ **ORDER**

**Fractions I**, the first book in the Making Math Real Fractions Books series, presents the essential foundational structures that directly support all future fractions applications across the grades, which include the concept-applications of fraction magnitude, sequencing, generating equivalent fractions, simplifying equivalent fractions to lowest terms and the basis for the successful integration of the four operations with fractions. Fractions I has two sections, the first presents the four concepts of fractions: 1) Parts of a Whole 2) Parts of a Group 3) Parts of a Segment 4) Parts of a Cup; and the second section presents the comprehensive sequence and increments for transforming lowest terms fractions to equivalent fractions and simplifying equivalent fractions to lowest terms.

**Fractions I** provides:

- Concept-applications for developing fraction number sense
- Perceptual bases for the comprehension of numerator/denominator relationships of 3-dimensional, 2-dimensional, and 1-dimensional fraction models
- Conceptual and mathematical bases for classifying fractions as equivalents or lowest terms
- Essential foundational preparation for addition and subtraction with like and unlike denominators
- Essential foundational preparation for cross-simplifying fractions in multiplication and division
- 119 pages of comprehensive leveled practice
- Extensive mixed practice throughout
- Teacher answer key for every page
- Ideal for classroom or private practice

**Fractions I** for guided application is exclusively available to course participants who have completed Making Math Real: *Fractions, Decimals & Advanced Place Value**.*

**Fractions IIA** is the second book in the Making Math Real Fractions Books series, and is the first part of presenting the guided applications of the 4 operations with proper and mixed fractions. Fractions IIA continues the concept-applications presented in Fractions I that specifically support addition and subtraction of proper and mixed fractions with like and unlike denominators: students’ applications of generating equivalent fractions with least common denominators. In support of the challenging applications of addition and subtraction with proper and mixed fractions with unlike denominators, Fractions IIA provides structured practice for the successful integration of all four phases of concrete to abstract.

**Fractions IIA** provides:

- Guided concrete to abstract practice for singular structure for generating equivalent fractions with like denominators across all three denominator relationships
- Levels I – IV of renaming in addition and subtraction for mixed and proper fractions with like and unlike denominators
- Concrete to abstract practice for transforming mixed fractions to improper fractions and improper fractions to mixed fractions
- Extra section for addition with 3 or more fractions with like and unlike denominators
- 141 pages of comprehensive leveled practice
- Extensive mixed practice throughout
- Teacher answer key for every page
- Ideal for classroom or private practice

**Fractions IIA** for guided application is exclusively available to course participants who have completed Making Math Real: *Fractions, Decimals & Advanced Place Value**.*

**Fractions IIB** is the third book in the Making Math Real Fractions Books series, and is the second part of presenting the guided applications of the 4 operations with proper and mixed fractions. Fractions IIA, the first part of the 4 operations with fractions presented **addition** and **subtraction** with proper and mixed fractions; and Fractions IIB completes the progression of the guided applications of the 4 operations with **multiplication** and **division** of proper and mixed fractions. A major focus of Fractions IIB is the concept-application of cross-simplify, a powerful algebraic math tool that is invaluable throughout higher mathematics as well as in the mathematical applications within chemistry and physics. In addition, Fractions IIB provides comprehensive mixed practice synthesizing ** all 4 operations** of proper and mixed fractions.

**Fractions IIB** provides:

- Complete practice applications for developing cross-simplifying and extra simplifying of proper and mixed fractions
- Extensive section for synthesizing the 4 operations with proper and mixed fractions
- Guided practice for
, in dividing fractions, the divisor is transformed to a multiplier**why** - Excellent preparation for algebra readiness
- 115 pages of comprehensive leveled practice
- Extensive mixed practice throughout
- Teacher answer key for every page
- Ideal for classroom or private practice

**Fractions IIB**, **version 3.0**, is only available to course participants who have completed Making Math Real: *Fractions, Decimals & Advanced Place Value*.

This exciting book provides the most detailed, incremental, and comprehensive problem sets in history, enabling the educator to maximize prescription for all students:

- 159 pages of intensive prescriptive practice for all students
- Continues the full integration and application of levels I – VIII of whole number long division
- Provides every kind of divisor to dividend relationship
- Special added feature: extensive practice section for transforming decimal divisors
- Teacher answer key for every page
- Ideal for classroom or private practice

**Decimal Long Division:**Levels I-VI with Single and Double-Digit Divisors is exclusively available to course participants who have completed Making Math Real: Fractions, Decimals & Advanced Place Value.

- 322 pages providing 10 times the prescriptive practice as the previous version
- Intensive Leveled Practice for each addition fact configuration
- Extra Feature: Includes extended sections for compatible numbers in addition
- Ideal for the classroom or private practice

**The 100 Addition Facts** is exclusively available to course participants who have completed Making Math Real: The 4 Operations & 400 Math Facts.

- Fully updated and upgraded
- 90% more practice pages than Version 2.0
- Comprehensive prescription & incrementation for all levels
- Teacher answer key for every page

**The 100 Subtractions Facts** is exclusively available to course participants who have completed Making Math Real: *The 4 Operations & 400 Math Facts*.

- 245 pages providing more than 30 pages of prescriptive practice for each times table
- Comprehensive leveled practice to develop factor times factor, missing factor, and reconstructing factors
- Extra feature: extended sections for symbol imaging the 5s table
- Ideal for the classroom or private practice

**The 100 Multiplication Facts Part A: **Imaging the Times Tables is exclusively available to course participants who have completed Making Math Real: *The 9 Lines Intensive*.

- 591 pages providing all 27 combinations of blending two times tables
- Comprehensive leveled practice to develop necessary mental flexibility to shift between times tables
- Extra feature: introductory Teacher-Guided section to establish students’ neural pathways for shifting between times tables
- Ideal for the classroom or private practice

**The 100 Multiplication Facts Part B: **Developing Automaticity is exclusively available to course participants who have completed Making Math Real: *The 9 Lines Intensive*.

- 145 pages providing maximum prescriptive practice for developing automaticity with the division facts
- Comprehensive leveled practice for finding quotients, dividends and divisors across all the tables
- Use with Making Math Real 100 Multiplication Facts Parts A and B to maximize integration of multiplication and division facts
- Ideal for the classroom or private practice, or home

**The 100 Division Facts** is exclusively available to course participants who have completed Making Math Real: *The 4 Operations & 400 Math Facts*.

Guided Application Worksheet Masters, version 2.0

- Presents all levels 1 – 7 of renaming in addition
- Specifically structured and sequenced to connect number sentence form to standard form
- Integrates all combinations of 100 addition facts
- 70 pages of comprehensive leveled practice
- Extensive mixed practice throughout
- Teacher answer key for every page
- Ideal for classroom or private practice

Guided Application Worksheet Masters, version 2.0

- Presents all levels 1 – 7 of renaming in subtraction
- Specifically structured and sequenced to connect number sentence form to standard form
- Integrates all combinations of 100 subtraction facts
- 70 pages of comprehensive leveled practice
- Extensive mixed practice throughout
- Teacher answer key for every page
- Ideal for classroom or private practice

Single-Digit Multipliers: Guided Application Worksheet Masters, version 2.0

- Presents all levels 1 – 7 of renaming in multiplication for single-digit multipliers
- Specifically structured and sequenced to connect number sentence form to standard form
- Integrates all combinations of 100 multiplication facts
- 72 pages of comprehensive leveled practice
- Extensive mixed practice throughout
- Teacher answer key for every page
- Ideal for classroom or private practice

Single-Digit Divisors: Guided Application Worksheet Masters, version 2.0

- Presents all levels 1 – 4 of long division with single-digit divisors
- Specifically structured to connect all three forms of division: standard form, number sentence form and fraction form.
- Integrates all combinations of 100 division facts
- Includes all divisor-dividend combinations
- 105 pages of comprehensive leveled practice
- Extensive mixed practice throughout
- Teacher answer key for every page
- Ideal for classroom or private practice

- 181 pages of the most detailed prescriptive practice exclusively for double-digit divisors
- Comprehensively leveled and balanced problem sets designed for maximum practice with the multiplication and division facts
- Provides every kind of double-digit divisor problem
- Special added feature: extensive practice section for transition to double-digit divisors
- Special added feature: extensive mixed practice section integrating all long division levels 1-8
- Teacher answer key for every page
- Ideal for the classroom or private practice

**Long Division: Levels V-VIII – Double-Digit Divisors** is exclusively available to course participants who have completed Making Math Real:* The 4 Operations & 400 Math Facts*.

These Base 10 puzzles provide the single most effective development of number sense available by helping students integrate the executive processes that directly support activating and sustaining working memory for numeration. Levels I through V additionally develop:

- The mental organizing structures to cross place value landmarks (tens) while counting forwards or backwards
- The essential processing foundation for automaticity with the addition and subtraction facts
- Mental flexibility (set shifting) and sequential processing

In addition, **The Base 10 Puzzles** provides:

- 269 pages of intensive and prescriptive practice
- Complete sets of blank templates to make your own puzzles
- Assessment data for measuring executive function, working memory, number sense, sequencing, and numeration
- Ideal for classroom or private practice

*Note: ***The Base 10 Puzzles*** replaces the previous version of ***100 Chart Puzzles***.*

**The Base 10 Puzzles** is exclusively available to course participants who have completed Making Math Real: *Kindergarten* (level I) and Making Math Real: *The 4 Operations & 400 Math Facts* (Levels II-V).

Making Math Real is pleased to announce the second part of the extended series of number sense development books: **Level VI of the Base 10 Puzzles.**

These **Base 10 Puzzles, Part 2** provide the single most effective development of number sense available by helping students to integrate the executive processes that directly support activating and sustaining working memory for numeration. In continuing the development from Part 1 of the series, Levels I-V (1-99), Level VI (1-999) additionally develops:

- The mental organizing structures to cross place value landmarks (hundreds and tens) while counting forwards or backwards: serially increasing and/or decreasing numbers by one, nine, ten, and eleven
- The essential processing foundation for automaticity with the addition and subtraction facts
- Mental flexibility (set shifting) and sequential processing
- Extension applications of renaming in addition and subtraction across tens and hundreds
- Extension applications of place and place value

In addition, **The Base 10 Puzzles, Part 2** provide:

- 326 pages of intensive and prescriptive practice
- Complete sets of blank templates to make your own puzzles
- Assessment tool for measuring executive function, working memory, number sense, sequencing, and numeration
- Ideal for classroom or private practice

**The Base 10 Puzzles, Part 2** is exclusively available to course participants who have completed Making Math Real: *The 4 Operations & 400 Math Facts** *(Levels II-VI).

* NOTE: *The

**Base 10 Puzzles Part 2**, Level VI

*replaces the previous version of*100 Chart Puzzles

*.*

These mats are color-coded by place, correctly sized to fit the base-10 blocks, and covered with the highest quality laminate. They will last a lifetime. The mats are specifically designed for teaching all concrete and semi-concrete levels of 2 and 3-digit concepts of place, place value, and 2 and 3-digit addition and subtraction with renaming.

**All the MMR Place Mats are:**

- Color-coded, laminated and ready for immediate use
- Ideal for the classroom or private practice
- Perfectly sized to fit the base-10 blocks
- Designed to teach the concrete and semi-concrete codes of place, place value, and addition and subtraction with renaming
- Available separately or as a complete set
- Discounted for class sets

**Place Mat #1b: 2-Digit Number Concepts for Kindergarten**

Used for teaching the concrete and semi-concrete concepts of:

- Place for ones and tens

**Place Mat #2: 2-Digit Number Concepts for First Grade and Up**

Used for teaching the concrete and semi-concrete concepts of:

- Place for ones and tens
- 2-digit place value
- Readiness for addition with renaming: “Silly Numbers”: transforming partial sums to standard numbers
- 2-digit subtraction with and without renaming
- Readiness for subtraction with renaming: “Reverse Silly Numbers”: transforming standard numbers to partial sums

**Place Mat #3: 3-Digit Number Concepts for Second Grade and Up**

Used for teaching the concrete and semi-concrete concepts of:

- Place for hundreds, tens and ones
- 3-digit place value
- 3-digit subtraction with and without renaming

**Place Mat #4: 2-Digit Addition Concepts for First and Second Grade and Up:**Used for teaching the concrete and semi-concrete concepts of:

- Addition without renaming for first grade
- Addition with renaming for second grade and up

**Click on the Place Mat images above for enlarged views.**

The Making Math Real Place Mats are exclusively available to course participants who have completed Making Math Real: *Kindergarten* (Placemat 1b) and/or Making Math Real: *The 4 Operations & 400 Math Facts**.*

The printed dry erase white boards are ideal for whole class, small group, and one-to-one instruction, and are a valuable educational tool for providing high-engagement, prescriptive practice for students while simplifying and improving management for teachers.

**2-Digit Place Value White Boards*** **for All Elementary Grades, K-5, provide mental organization and structure for:**

- 2-digit number concepts
- 2-digit expanded notation
- Partial sums (Silly Numbers)
- 2-digit addition with and without renaming
- 2-digit subtraction with and without renaming
- Single-digit multipliers with and without renaming

* Available only for course participants having completed Making Math Real: *Kindergarten* and/or Making Math Real: *The 4 Operations & the 400 Math Facts*

**3-Digit Place Value White Boards* for All Elementary Grades, K-5, provide mental organization and structure for:**

- 3-digit number concepts
- 3-digit expanded notation
- 3-digit addition with and without renaming
- 3-digit subtraction with and without renaming
- 3-digit by 1-digit multiplication with and without renaming

* Available only for course participants having completed Making Math Real: *The 4 Operations & the 400 Math Facts*

**Whole Number and Decimal Place Value (“Whole Cakes and Pieces”) White Boards***** for all grades, 3-12, provide mental organization and structure for:**

- Increasing and decreasing decimals by powers of 10
- Multiplication and division with decimals
- Standard form, word form, expanded form, and exponent form practice and connections
- Fraction-decimal-percent conversions
- Scientific notation
- Decoding and encoding positive and negative exponents
- Fraction-decimal-exponent connections

* Available only for course participants having completed Making Math Real: *Fractions, Decimals & Advanced Place Value*

**Advanced Place Value through the Billions White Boards* for all grades, 3-12, provide mental organization and structure for:**

- Development of place and place value for large numbers
- Increasing and decreasing whole numbers by powers of 10
- Standard form, word form, expanded form, and exponent form practice and connections
- Scientific notation
- Decoding and encoding the powers of 10 exponent system

* Available only for course participants having completed Making Math Real: *Fractions, Decimals & Advanced Place Value*

Making Math Real Finger Counting Cards for *Kindergarten*.

Introducing our **newly designed, extra-durable** Making Math Real blank-on-one-side playing cards for making prescriptive math games:

- Perfectly sized to kids’ hands, double-coating for durable and long-lasting use, easier to shuffle, retains and preserves permanent marker ink
- Available to everyone — no coursework necessary to purchase these useful cards!
- Box of 450 blank cards: only $40 plus tax, shipping & handling

**Learn to make math card games:** Join the Making Math Real: *Games!** *course to learn how to make, apply and play high interest games to support the multisensory structured methods of Making Math Real.

## Full Catalog of the Blackline Master Binder Series

**About The Worksheet Masters Series: **Making Math Real has published 17 prescriptive and fully incremental support materials for your professional use. These materials are highly specialized and require specific Making Math Real course instruction in how to use them correctly. Consequently, they are only available to course participants in-serviced in their use. The Guided Application Worksheet Masters and the Symbol Imaging Worksheet Masters are ideal for supplementing any and all textbooks. These materials provide the MMR course participant with specific and prescriptive practice designed to maximize student success, retention, and concept-procedure integration. All problem sets have been carefully designed to include all content combinations, configurations, increments and levels to ensure maximum connection and comprehension.

**FOR COURSE PARTICIPANTS ONLY: ***Making Math Real has published a series of prescriptive and fully incremental support materials for your professional use. These materials are highly specialized and require specific Making Math Real course instruction in how to use them correctly. Consequently, they are only available to course participants in-serviced in their use. *

**SYMBOL IMAGING WORKSHEET MASTERS: **All of the following support materials are only available to course participants who have completed the course, Making Math Real: *The 4 Operations & The 400 Math Facts*. Multiplication Part A and B are available to course participants who have completed the course, Making Math Real: *The 9 Lines Intensive*. *(Click on covers for pop-out Table of Contents)*

**The 100 Addition Facts**

Symbol Imaging Worksheet Masters, version 3.0

*(Click cover for Table of Contents)*

**The 100 Subtraction Facts**Symbol Imaging Worksheet Masters, version 3.0

*(Click cover for Table of Contents)*

**The 100 Multiplication Facts****Part A:** Imaging the Times Tables

Symbol Imaging Worksheet Masters, version 3.0

*(Click cover for Table of Contents)*

**The 100 Multiplication Facts****Part B:** Developing Automaticity

Symbol Imaging Worksheet Masters, version 3.0

*(Click cover for Table of Contents)*

**The 100 Division Facts**

Symbol Imaging Worksheet Masters, version 3.0

*(Click cover for Table of Contents)*

**GUIDED APPLICATION WORKSHEET MASTERS: **All of the following support materials below are only available to course participants who have completed the course, Making Math Real: *The 4 Operations & The 400 Math Facts**. (Click on covers for pop-out Table of Contents)*

**Addition**

Levels 1 – 7

Guided Application Worksheet Masters, version 2.0, 70 pages, answer key included*(Click cover for Table of Contents)*

**Subtraction**

Levels 1 – 7

Guided Application Worksheet Masters, version 2.0, 70 pages, answer key included*(Click cover for Table of Contents)*

**Multiplication**

Levels 1 – 7, Single-Digit Multipliers

Guided Application Worksheet Masters, version 2.0, 72 pages, answer key included*(Click cover for Table of Contents)*

**Long Division**

Levels 1-4, Single-Digit Divisors

Guided Application Worksheet Masters, version 2.0, 105 pages, answer key included*(Click cover for Table of Contents)*

**Long Division**

Levels 5-8, Double-Digit Divisors

Guided Application Worksheet Masters, version 2.0, 181 pages, answer key included*(Click cover for Table of Contents)*

**GUIDED APPLICATION WORKSHEET MASTERS: **All of the following support materials below are only available to course participants who have completed the course, Making Math Real: *Fractions, Decimals & Advanced Place Value. (Click on covers for pop-out Table of Contents)*

**Fractions I**

The Four Concepts

Lowest Terms and Equivalents Levels I-VII

Guided Application Worksheet Masters, version 2.0*(Click cover for Table of Contents)*

**Fractions IIA**

Addition and Subtraction with Simple Fractions and Levels I-IV of Mixed Fractions

Guided Application Worksheet Masters, version 2.0*(Click cover for Table of Contents)*

**Fractions IIB**

Part Two of the Four Operations with Fractions: Multiplication and Division with Proper and Mixed Fractions

Guided Application Worksheet Masters, version 3.0 *[Updated in 2014](Click cover for Table of Contents)*

**Fractions III**

Comparing & Ordering Fractions

Guided Application Worksheet Masters, version 1.0

(Click cover for Table of Contents)

**Decimal Long Division**

Levels 1-6, Single and Double-Digit Divisors

Guided Application Worksheet Masters, version 2.0*(Click cover for Table of Contents)*

**NUMBER SENSE DEVELOPMENT: **All of the following support materials are only available to course participants who have completed Making Math Real: *Kindergarten* (Level I) and Making Math Real: *The 4 Operations & 400 Math Facts* (Levels II-VI).

**Base 10 Puzzles**Levels I-V, Developing Number Sense

Worksheet Masters, version 2.0

These Base 10 puzzles provide the single most effective development of number sense available by helping students integrate the executive processes that directly support activating and sustaining working memory for numeration. *(Click cover for Table of Contents)*

**Base 10 Puzzles, Part 2**Level VI of the Base 10 Puzzles

Worksheet Masters, version 2.0

These Base 10 puzzles provide the single most effective development of number sense available by helping students to integrate the executive processes that directly support activating and sustaining working memory for numeration. *(Click cover for Table of Contents)*