Adaptations Across the Entire Text.

• Added Louisiana State Standards.
• Reordered modules of the original work.
• Replaced module introductions with Classroom Vignettes.
• H5P activities were inserted to reinforce concepts.
• Edited all or added mathematical notations to have them appear in LaTeX.
• Added dropdown solutions for students to practice concepts.
• Consistent colored textboxes throughout.
• Added or updated images.
• Hypothetical scenarios have been added to the introduction of each module.
• Edited and/or removed text throughout where applicable.
• Added the following to each unit: Teaching Tips, Classroom Connections, and Concept Checks.

Adaptations by Module.

Pre-Unit Review

• Added math content and examples based on MyOpenMath content.
• Edited problem-solving section from Julie Harland’s Understanding Elementary Mathematics, a series of hands-on Workbook Modules.

Module 1: Set Theory

Module 1.1 The Basics of Sets

• Consolidated exercises and renumbered.
• Removed Exercise 31.

Module 1.2 Venn Diagrams

• Consolidated exercises and renumbered.

Module 1.3 More About Sets

***???***

Module 1.4 Survey Problems

• Consolidated exercises and renumbered.

Module 2: Counting and Numerals

Module 2. 1 Numbers and Numerals

• Added formal definitions for number, numeral, and one-to-one correspondence.
• Removed exercises 6 and 7.
• Consolidated some exercises and renumbered them.

Module 2.2 Numeration Systems

• Removed exercises 7-10.
• Consolidated some exercises and renumbered them.

Module 2.3 Trading and Place Value

• Rewrote section from scratch and removed the original.

Module 2.4 Other Base Systems

• Rewrote section from scratch and removed the original.

Module 3: Understanding Addition and Subtraction

***NEED TO GET FROM TARA***

Module 4: Understanding Multiplication

***NEED TO GET FROM TARA***

Module 5: Understanding Division

Module 5.1 The Meaning of Division

• Added introduction.
• Changed “interpretation” of division to “model” of division.
• Reordered material.
• Added transitional phrasing between topics and reworded things throughout.
• Deleted original exercises 6,7, 18, 19, 20, and reorganized and renumbered remaining exercises.
• Added example 1.
• Expanded example 3 to include partition and repeated subtraction.
• Altered exercise 21 (original 27) to include partition and repeated subtraction.

Module 5.2 Division Algorithms

• Rewrote the entire section from scratch and removed the original section.

Module 5 Homework on Understanding Division

• Added 5 additional exercises on long division.

Module 6: Binary Operations

Module 6.1 Operations and Properties

• Changed some symbols for binary operation problems
• Omitted exercise 1.
• Added the closure property and an exercise
• Added identity property, an example, and an exercise

Module 6 Homework on Binary Operations

• Added exercise 4 to the homework.

Module 7: Number Theory

Divided Digital Roots and Divisibility into two separate sections.

Module 7.1 Digital Roots

• Rewording and added a proof
• Changed some exercises and examples to H5P

Module 7.2 Divisibility Tests

• Removed the exercise of writing proofs for the divisibility properties.
• Replaced exercises 14 and 15.
• Removed exercises 16 and 17.
• For divisibility tests: Used families of 2, 3, 6, 7, 10, 11, 12.
• Replaced the divisibility test for 15 with the test for 12, and replaced the examples and exercises accordingly.

Module 7.3 Primes and Greatest Common Factor

• Removed part “b.” in exercise 1.
• Rearranged the contents about the Prime Factor Test by adding Example 3.
• For relative primes, gave more examples to replace the relative primes exercise.
• Removed the part “using a calculator to find the remainder”
• Removed the part “revisiting divisibility tests.”

Module 7.4 Least Common Multiples and Other Topics

• Rewording and removed exercise 2.
• Removed exercises 3 and 6.
• Replaced “factor” with “prime factors.”
• Removed the section after Exercise 21.
• Problems for this part, HW #8, #9, #10, have been removed from the homework.

Module 8: Integers

• New number line pictures.
• New counter pictures.
• Added section titles.
• Consolidated several exercises.

Module 8.1 Addition and Subtraction

• Omitted original exercise 24.
• Added addition properties for integers.

Module 8.2 Multiplication and Division

• Added multiplication properties for integers.
• Added sign rules for multiplication and division.
• Discuss division of integers.
• Added examples and exercises for division with counters and number lines.

Module 9: Rational Numbers

Module 9.1 Concept of Fractions

• Retitled the first section to “Concept of Fractions.”
• Changed the wording of the solutions for the examples with C-strips.
• Added paragraph and reflections for “Understanding Fractions using C-Strips.”
• Added “Representations of fractions.”
• Moved “Equivalent Fractions” and “The Fundamental Law of Fractions” content to this section.
• Replaced some of the terminology.
• Deleted the example that involved determining if the pair of fractions is equivalent by writing them as fractions with a common denominator.

Module 9.2 Addition and Subtraction of Fractions

• Included more examples and exercises.
• Added models using fraction tiles.
• Added section on applications.

Module 9.3 Multiplication and Division of Fractions

• Included more examples and exercises.
• Added multiplication models for whole numbers.
• Added multiplication model using rectangles.
• Created entire portion on dividing fractions using visual models.
• Edited and added applications.

Module 9.4 Decimals

• Reworded the section
• Removed the original exercises: 8 – 18, 21 – 24, 26 – 31
• Trimmed down most of the repeating decimal exercises (see above)
• Removed converting repeating decimals into fractions
• Added addition of decimals section
• Added subtraction of decimals section
• Reworded and added more multiplication of decimals section
• Added division of decimals section