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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.

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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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