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# Principles of Mathematics Book 2 (Student)

## by Katherine LoopAuthor

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