# Principles of Mathematics Book 2 (Student)

## by Katherine Loop Author

(From Amazon): Experience the difference understanding the principles of mathematics can make! Now that you know the core principles of arithmetic and geometry, you’re ready to move on to learning advanced skills that will allow you to explore more aspects of God’s creation. In Book 2, the focus is on the essential principles of algebra, coordinate graphing, probability, statistics, functions, and other important areas of mathematics. [General structure] This is the second year of a two-year math program designed to give students a firm mathematical understanding, both academically and spiritually. The curriculum consists of the Student Textbook and the Teacher Guide. The textbook contains the text, and the teacher guide contains all the worksheets, quizzes, and tests, along with an answer key and suggested schedule. [Grade level] This curriculum is aimed at grades 7-8 (pre-algebra); however, there is plenty of material to engage older students as well who want to understand the principles of mathematics from a biblical worldview. Students should have complete Book 1 of this course or have equivalent knowledge before beginning. See the “About This Curriculum” section inside for more information. [Features] Biblical Worldview: Discover how the very existence of math 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: Don’t let high school math intimidate you! By understanding the principles of math, you’ll be prepared to see the purpose and understand the mechanics of high school math concepts. History, Science, and Real-Life Connections: Explore exponential growth, interest rates, music, force, motion, genetics, and more. Math is much more than meaningless bookwork...and now at last you can learn it that way! [Where to go from here] Upon completion, students should be prepared to begin or return to any high school algebra course.

### Additional Details

- Resource Type
- Book
- ISBN
- 9780890519066
- Print Status
- In Print
- Lessons
- 163
- Pages
- 415
- Suggested Grades
- 6th - 9th
- Publisher
- Master Books
- Edition
- Student
- Copyright
- 2016

### Lessons

- 1.1 Overview of Mathematics
- 1.2 The Language of Mathematics - Symbols and Conventions
- 1.3 The Consistency of Mathematics - Operations and Properties
- 1.4 The Usefulness of Mathematics - Problem Solving
- 1.5 Overview of Geometry
- 1.6 Chapter Synopsis
- 2.1 Fractions as Division
- 2.2 Factoring and Simplifying Fractions
- 2.3 Operations with Fractions
- 2.4 Negative Numbers
- 2.5 Latitude and Longitude
- 2.6 Time Zones
- 2.7 Chapter Synopsis and the Speed of Light
- Q1 Quiz 1
- 3.1 Introducing Unknowns
- 3.2 Understanding Equality
- 3.3 Equalities and Unknowns
- 3.4 More with Equalities and Unknowns
- 3.5 Applying Unknowns
- 3.6 Finding Missing Sides
- 3.7 Unknowns and Altitude
- 3.8 Chapter Synopsis and Leonhard Euler
- Q2 Quiz 2
- 4.1 Solving Problems with Fractions and Unknowns (Addition and Subtraction)
- 4.2 Solving Problems with Fractions and Unknowns (Multiplication and Division)
- 4.3 Viewing Division as Multiplication
- 4.4 Fractions with and Unknown in the Denominator
- 4.5 A Closer Look at Negative Numbers and Fractions
- 4.6 Chapter Synopsis
- Q3 Quiz 3
- 5.1A Ratios and Proportions Revisited
- 5.1B Ratios and Proportions Revisited
- 5.2 Cross Multiplication
- 5.3A More with Time
- 5.3B More with Time
- 5.4 Proportions and the Pressure and Volume of a Gas
- 5.5 Proportions and Levers
- 5.6 Chapter Synopsis and Archimedes
- Q4 Quiz 4
- T1 Test 1
- 6.1 Revisiting Percents
- 6.2A Rearranging Formulas
- 6.2B Rearranging Formulas
- 6.3A Finding Rates and Bases
- 6.3B Finding Rates and Bases
- 6.4 Force and Motion
- 6.5 Chapter Synopsis and Sir Isaac Newton
- Q5 Quiz 5
- 7.1 Simplifying Multiplication
- 7.2 Combining Like Terms
- 7.3 Combining Like Terms with Coefficients of 1
- 7.4 Combining Like Terms with Fractional Coefficients
- 7.5 Chapter Synopsis and Eureka!
- Q6 Quiz 6
- 8.1 Negative Signs and Unknowns
- 8.2 Revisiting the Additive Inverse
- 8.3 Combining Like Terms with Negative Coefficients
- 8.4 Surprised by Negatives
- 8.5 When the Unknown Is on Both Sides of the Equation
- 8.6 Chapter Synopsis
- Q7 Quiz 7
- 9.1 Parentheses and Nested Parentheses
- 9.2 Parentheses, the Distributive Property, and Unknowns
- 9.3 Positive Signs, Parentheses, and the Distributive Property
- 9.4 Parentheses in Action
- 9.5 Parentheses, the Distributive Property, Unknowns, and Negative Numbers
- 9.6 Chapter Synopsis and the Beauty of Mathematics
- Q8 Quiz 8
- 10.1 Understanding Inequalities
- 10.2 Inequalities and Unknowns
- 10.3 Swapping Sides of an Inequalities
- 10.4 Finding the Value of an Unknown in an Inequalities
- 10.5 Chapter Synopsis and the Human Brain
- Q9 Quiz 9
- 11.1 Statistics Review
- 11.2 Line Graphs and Trends
- 11.3 Scatter Graphs and Correlation
- 11.4 Stem-and-Leaf Plots
- 11.5 Average and Distribution
- 11.6 Chapter Synopsis and Carl Friedrich Gauss
- Q10 Quiz 10
- T2 Test 2
- 12.1 Introduction to Probability
- 12.2 Expressing and Applying Probability
- 12.3 Independent Events
- 12.4 Dependent Events
- 12.5 The Fundamental Counting Principle
- 12.6 Understanding the Odds / The Dangers of Gambling
- 12.7 Probability and Genetics
- 12.8 Chapter Synopsis
- Q11 Quiz 11
- 13.1 Constants, Variables, and Relationships Between Variables
- 13.2 Independent and Dependent Variables
- 13.3 Using x and y for Independent and Dependent Variables
- 13.4 Functions
- 13.5 Domains
- 13.6 Chapter Synopsis
- Q12 Quiz 12
- 14.1 Picturing Relationships
- 14.2 The Mechanics of Graphing Linear Equations
- 14.3 Showing the Domain on a Graph
- 14.4 Y-Intercept
- 14.5 Slope
- 14.6 Finding the Equation
- 14.7 The Line of Best Fit
- 14.8 Chapter Synopsis and Rene Descartes
- Q13 Quiz 13
- 15.1 Reviewing Exponents
- 15.2 Exponents and Unknowns
- 15.3 Graphs of Functions with Exponents
- 15.4 Using a Calculator with Exponents
- 15.5 Exponential Growth
- 15.6 Population Growth
- 15.7 Exponential Decay
- 15.8 Chapter Synopsis and Earthquakes
- Q14 Quiz 14
- 16.1 Exponents in Denominators
- 16.2A Negative Exponents
- 16.2B Negative Exponents
- 16.3A Scientific Notation
- 16.3B Scientific Notation
- 16.4 Performing Operations in Scientific Notation on a Calculator
- 16.5 More with Combining Like Terms
- 16.6 More with Multiplication and Division
- 16.7 Chapter Synopsis and a Glance at History
- Q15 Quiz 15
- T3 Test 3
- 17.1 Square Roots
- 17.2A Square Roots and Unknowns
- 17.2B Square Roots and Unknowns
- 17.3 Taking the Square Root of Both Sides
- 17.4 Approximating Square Roots and Finding Square Roots on a Calculator
- 17.5 Pythagorean Theorem
- 17.6 More with the Pythagorean Theorem
- 17.7 Converse of the Pythagorean Theorem
- 17.8 Other Roots
- 17.9 Chapter Synopsis and the Pythagorean Worldview
- Q16 Quiz 16
- 18.1 Glimpses of Trigonometry: Introduction and Review
- 18.2 Tangent: A Ratio in Right Triangles
- 18.3 Sines and Cosines: More Ratios in Right Triangles
- 18.4 Representing Trigonometric Functions (Function Notation)
- 18.5 Chapter Synopsis and Sound Waves
- Q17 Quiz 17
- 19.1 Sets and Symbols
- 19.2 Sets and Possible Values
- 19.3 Sequences and Unknowns
- 19.4 Arithmetic and Geometric Sequences
- 19.5 Chapter Synopsis and Sets and Searches
- Q18 Quiz 18
- 20.1 Glimpses of Consumer Math: Compound Interest
- 20.2 Using the Correct Time and Rate
- 20.3 Simple Interest
- 20.4 Budgeting
- 20.5 Chapter Synopsis
- Q19 Quiz 19
- T4 Test 4
- 21.1 Review: Algebra Synopsis
- 21.2 Review: Statistics, Probability, Trigonometry, and Consumer Math Synopsis
- 21.3A Course Review
- 21.3B Course Review
- 21.3C Course Review
- T5 Test 5

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