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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.

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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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