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.
Module 1: Pre-Unit Review
This unit was added by Dr. Julie Sullivan using adaptations of various sources.
Module 2: Set Theory
The Basics of Sets
- Consolidated exercises and renumbered.
- Removed Exercise 31.
Venn Diagrams
- Consolidated exercises and renumbered.
Survey Problems
- Consolidated exercises and renumbered.
Module 3: Counting and Numerals
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.
Numeration Systems
- Rewrote both sections from scratch and removed the original.
Trading and Place Value
- Rewrote both sections from scratch and removed the original.
Module 4: Understanding Addition and Subtraction
***NEED TO GET FROM TARA***
Module 5: Understanding Multiplication
***NEED TO GET FROM TARA***
Module 6: Understanding Division
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.
Division Algorithms
- Rewrote the entire section from scratch and removed the original sections.
Homework
- Added 5 additional exercises on long division.
Module 7: Binary Operations
Binary Operations
- Added text boxes for examples, exercises, and standards.
- Changed some symbols for binary operation problems
- Omitted exercise 1.
Operations and Properties
- Added the closure property and an exercise
- Added identity property, an example, and an exercise
Homework
- Added exercise 4 to the homework.
Module 8: Number Theory
Divided Digital Roots and Divisibility into two separate sections.
Digital Roots
- Rewording and added a proof
- Changed some exercises and examples to H5P
Divisibility
- 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.
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.”
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 9: Integers
- New number line pictures.
- New counter pictures.
- Added section titles.
- Consolidated several exercises.
Addition and Subtraction
- Omitted original exercise 24.
- Added addition properties for integers.
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 10: Rational Numbers
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.
Addition and Subtraction of Fractions
- Created more examples on how to add and subtract fractions with common denominators.