# Principles of Mathematics Book 1

## by Katherine A. Loop Author

(From Amazon): A junior high mathematical study that includes real-life examples, historical tidbits, and practical how-to-apply math knowledge! Lost in the mechanics of math? Unsure why you have to learn different math concepts or how to prepare for high school math? Wanting math to be more interesting? Wishing you could finish your math lesson awed at God's greatness? Experience the difference truly understanding the principles of mathematics can make! General structure: This is the first year foundation course of a two-year math program designed to give students a firm mathematical understanding, both academically and spiritually. This curriculum consists of the Student Textbook and the Student Workbook. It is designed to be self-taught, so students should be able to read the material and complete assignments on their own, with a parent or teacher available for questions. The Student Workbook contains all the worksheets, quizzes, and tests, along with an answer key and suggested schedule. Grade Level: This curriculum is aimed at grades 6-8, fitting into most math approaches the year or two years prior to starting high school algebra. If following traditional grade levels, Year 1 should be completed in grade 6 or 7, and Year 2 in grade 7 or 8. Features: Biblical Worldview: Discover how the very existence of the math concepts proclaims the faithfulness of God...and experience the joy of using math to explore God’s creation. Solid Foundation for High School Math and Real Life: Learn why the rules you’ve been memorizing work...and get practice applying those skills to real-life settings as you build problem-solving skills. History, Science, and Real-life Connections: Find the height of a tree without leaving the ground, use negative numbers to describe the force on objects, explore historical multiplication methods, apply math to music, and much more! Where to go from here: Upon completion of both years, students should be prepared to begin or return to any high school algebra course. However, there are other ways this course can be used to help guide students. Both Year 1 and 2 could be completed in one year for a more intensive study, or either course can also be done as an intensive summer study to provide a refresher for basic math proficiency. About the Author: Katherine Loop is a homeschool graduate from Northern Virginia. Understanding the biblical worldview in math made a tremendous difference in her life and started her on a journey of researching and sharing on the topic. For over a decade now, she's been researching, writing, and speaking on math, along with other topics. Her previous books on math and a biblical worldview have been used by various Christian colleges, homeschool groups, and individuals.

### Additional Details

- Resource Type
- Book
- ISBN
- 978-0-89051-875-5
- Print Status
- In Print
- Lessons
- 164
- Pages
- 420
- Suggested Grades
- 6th - 8th
- Publisher
- Master Books
- Edition
- Student
- Copyright
- 2015

### Lessons

- 1.1 Math Misconceptions
- 1.2 What is Math?
- 1.3 The Spiritual Battle in Math
- 1.4 Numbers, Place Value, and Comparisons
- 1.5 Different Number Systems
- 1.6 Binary and Hexadecimal Place-value Systems
- 2.1 Addition and Subtraction
- 2.2 Applying Basic Addition and Subtraction to Time
- 2.3 Multi-digit Addition and Subtraction
- 2.4 Keeping and Balancing a Checkbook Register
- 2.5 Different Addition and Subtraction Methods
- 2.6 Problem Solving: An Introduction
- 2.7 Chapter 1 and 2 Synopsis
- Q1 Quiz 1
- 3.1 Mental Math
- 3.2 Rounding - Approximate Answers
- 3.3 Multiplication
- 3.4 Division
- 3.5 Properties
- 3.6 Conventions - Order of Operations
- 3.7 Chapter Synopsis
- Q2 Quiz 2
- 4.1 Multi-digit Multiplication
- 4.2 The Distributive Property - Understanding Why
- 4.3 Multi-digit Division
- 4.4 More Multi-digit Division, Remainders, and Operations with Zero
- 4.5 More Problem-Solving Practice / Enter the Calculator
- 4.6 Chapter Synopsis
- Q3 Quiz 3
- 5.1 Understanding Fractions
- 5.2 Mixed Numbers
- 5.3 Equivalent Fractions and Simplifying Fractions
- 5.4 Understanding Factoring
- 5.5 Simplifying Fractions, Common Factors, and the Greatest Common Factor
- 5.6 Adding and Subtracting Fractions
- 5.7 Least Common Denominator / Multiple
- 5.8 Chapter Synopsis and Expanding Our Worldview
- Q4 Quiz 4
- 6.1 Multiplying with Fractions
- 6.2 Working with Mixed Numbers
- 6.3 Simplifying While Multiplying
- 6.4 Reciprocal / Multiplicative Inverse and More
- 6.5 Dividing Fractions
- 6.6 Chapter Synopsis
- 6.7 Worksheet
- T1 Test 1
- 7.1 Introducing Decimals
- 7.2 Adding and Subtracting Decimals
- 7.3 Multiplying Decimals
- 7.4 Dividing and Rounding with Decimals
- 7.5 Conversion and More with Decimals
- 7.6 Chapter Synopsis
- Q5 Quiz 5
- 8.1 Ratios
- 8.2 Proportions
- 8.3 Ratios and Proportions Containing Decimals
- 8.4 Scale Drawings and Models
- 8.5 Mental Math and Decimals
- 8.6 Chapter Synopsis
- Q6 Quiz 6
- 9.1 Introducing Percents
- 9.2 Finding Percents
- 9.3 More Finding Percentages / Multiplying and Dividing Percents
- 9.4 Adding and Subtracting Percents / Finding Totals
- 9.5 Mental Percents
- 9.6 Chapter Synopsis
- Q7 Quiz 7
- 10.1 Understanding Negative Numbers
- 10.2 Adding Negative Numbers
- 10.3 Subtracting Negative Numbers
- 10.4 Temperature and Negative Numbers
- 10.5 Absolute Value
- 10.6 Multiplying and Dividing Negative Numbers
- 10.7 Negative Mixed Numbers
- 10.8 Negative Fractions
- 10.9 Chapter Synopsis
- Q8 Quiz 8
- 11.1 Sets and Venn Diagrams
- 11.2 Number Sets
- 11.3 More on Sets
- 11.4 Ordered Sets (i.e. Sequences)
- 11.5 Chapter Synopsis
- Q9 Quiz 9
- T2 Test 2
- 12.1 Introduction to Statistics
- 12.2 Collecting Data - Sampling
- 12.3 Organizing Data - Understanding Graphs
- 12.4 Organizing Data - Drawing Bar/Column Graphs
- 12.5 Coordinates
- 12.6 Organizing Data - Line Graphs
- 12.7 Organizing Data - Averages
- 12.8 Organizing Data - More on Averages
- 12.9 Chapter Synopsis
- Q10 Quiz 10
- 13.1 Understanding Geometry
- 13.2 Lines and Angles
- 13.3 Polygons
- 13.4 Circles, Triangles, and Three-Dimensional Shapes
- 13.5 Fun with Shapes
- 13.6 Chapter Synopsis
- Q11 Quiz 11
- 14.1 Chapters for Measuring Distance
- 14.2 Conversions via Proportions
- 14.3 Different Conversion Methods
- 14.4 Currency Conversions
- 14.5 Metric Conversions
- 14.6 Multistep Conversions
- 14.7 Conversions Between U.S. Customary and Metric
- 14.8 Time Conversions
- 14.9 Chapter Synopsis
- Q12 Quiz 12
- 15.1 Perimeter
- 15.2 Formulas
- 15.3 Area: Rectangles and Squares
- 15.4 Area: Parallelograms
- 15.5 Chapter Synopsis and the Basis of Math and Truth
- Q13 Quiz 13
- 16.1 Introducing Exponents
- 16.2 Understanding Square Roots
- 16.3 Square Unit Conversions
- 16.4 Scientific Notation
- 16.5 More Scientific Notation
- 16.6 Chapter Synopsis
- Q14 Quiz 14
- T3 Test 3
- 17.1 Area: Triangles
- 17.2A Area: More Polygons
- 17.2B Area: More Polygons
- 17.3 Measuring Circles
- 17.4 Irrational Numbers
- 17.5 Chapter Synopsis and Pi in the Bible
- Q15 Quiz 15
- 18.1A Surface Area
- 18.1B Surface Area
- 18.2A Volume
- 18.2B Volume
- 18.3 Cubic Unit Conversion
- 18.4 Measuring Capacity in the U.S. Customary System
- 18.5 Conversion to and from Cubic Units
- 18.6 Measuring Capacity in the Metric System
- 18.7 Measuring Weight and Mass
- 18.8 Chapter Synopsis
- Q16 Quiz 16
- 19.1 Measuring Angles
- 19.2 More with Angles
- 19.3 Angles in Pie Graphs
- 19.4 Expanding Beyond
- 19.5 Chapter Synopsis and Faulty Assumptions
- Q17 Quiz 17
- 20.1 Congruent
- 20.2 Corresponding Parts - Applying Congruency
- 20.3 Exploring Similar Shapes
- 20.4 Angles in Triangles and AA Similarity
- 20.5 Similar Triangles in Action - Finding the Height of a Tree
- 20.6 Chapter Synopsis and a Peek Ahead
- 20.7 Worksheet
- Q18 Quiz 18
- T4 Test 4
- 21.1 Arithmetic Synopsis
- 21.2 Geometry Synopsis
- 21.3 Life of Johannes Kepler
- 21.4A Course Review
- 21.4B Course Review
- T5 Final Exam

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