Download 1.1 An Introduction to the Whole Numbers Graphing numbers on the

1.1 An Introduction to the Whole Numbers
I.
Graphing numbers on the number line
II. Ordering the Whole Numbers
III. Expanded Notation
IV. Rounding Whole Numbers
V. Tables and Graphs
1.2 Adding and Subtracting Whole Numbers
I.
The Commutative Property of Addition
II. Grouping Symbols
III. The Associative Property of Addition
IV. The Additive Identity
V. Adding Larger Whole Numbers
VI. Subtraction of Whole Numbers
VII. Subtracting Larger Whole Numbers
VIII. Order of Operations
IX. Applications
1.3 Multiplication and Division of Whole Numbers
I.
The Multiplicative Identity
II. Multiplication by Zero
III. The Associative Property of Multiplication
IV. Multiplying Larger Whole Numbers
V. Division of Whole Numbers
VI. Division is not Commutative
VII. Division is not Associative
VIII. Division by Zero is Undefined
IX. Dividing Larger Whole Numbers
X. Applications
1.4 Prime Factorization
I.
Divisibility
II. Divisibility Tests
III. Prime Numbers
IV. Factor Trees
V. Exponents
VI. Applications
1.5 Order of Operations
I.
Fraction Bars
II. The Distributive Property
1.6 Solving Equations by Addition and Subtraction
I.
Equivalent Equations
II. Operations that Produce Equivalent Equations
III. Wrap and Unwrap
IV. Word Problems
1.7 Solving Equations by Multiplication and Division
I.
Word Problems
2.1 An Introduction to the Integers
I.
The Integers
II. Ordering the Integers
III. Opposites of Opposites
IV. Positive and Negative
V. Absolute Value
VI. Applications
2.2 Adding Integers
I.
Vectors on the Number Line
II. Magnitude and Absolute Value
III. Adding Integers with Like Signs
IV. Adding Integers with Unlike Signs
V. Properties of Addition of Integers
VI. Grouping for Efficiency
2.3 Subtracting Integers
I.
Order of Operations
II. Change as a Difference
2.4 Multiplication and Division of Integers
I.
The Product of a Positive Integer and a Negative Integer
II. The Distributive Property
III. The Multiplicative Property of Zero
IV. Multiplying by Minus One
V. The Product of Two Negative Integers
VI. Memory Device
VII. Division of Integers
2.5 Order of Operations with Integers
I.
Evaluating Fractions
II. Absolute Value
2.6 Solving Equations Involving Integers
I.
Adding or Subtracting the Same Amount
II. Multiplying or Diving by the Same Amount
III. Combining Operations
IV. Applications
3.1 Mathematical Expressions
I.
Translating Words into Mathematical Expressions
II. Combinations
3.2 Evaluating Algebraic Expressions
3.3 Simplifying Algebraic Expressions
I.
Speeding Things Up
II.
The Distributive Property
III.
Moving a Bit Quicker
IV.
Extending the Distributive Property
V.
Distributing a Negative
3.4 Combining Like Terms
I.
Like Terms
II.
Combining Like Terms
III.
Speeding Things Up a Bit
IV.
Simplify
V.
Applications
3.5 Solving Equations Involving II
I.
Variables on Both Sides
3.6 Applications
I.
Consecutive Integers
II. Consecutive Odd Integers
III. Tables
4.1 Equivalent Fractions
I.
The Greatest Common Divisor
II. Reducing a Fraction o Lowest Terms
III. Reducing Fractions with Variables
IV. A Word on Mathematical Notation
V. Equivalent Fractions in Higher Terms
VI. Negative Fractions
4.2 Multiplying Fractions
I.
Multiplication Rule
II. Multiply and Reduce
III. Multiply and Cancel or Cancel and Multiply
IV. Parallelograms
V. Triangles
4.3 Dividing Fractions
I.
Reciprocals
II. Division
4.4 Adding and Subtracting Fractions
I.
Adding Fractions with Different Denominators
II. Least Common Multiple
III. Least Common Multiple Using Prime Factorization
IV. Comparing Fractions
4.5 Multiplying and Dividing Mixed Fractions
I.
Changing Mixed Fractions to Improper Fractions
II. Changing Improper Fractions to Mixed Fractions
III. Multiplying and Dividing Mixed Fractions
4.6 Adding and Subtracting Mixed Fractions
I.
Adding Mixed Fractions
II. Working in Vertical Format
III. Subtracting Mixed Fractions
IV. Working in Vertical Format
V. Borrowing in Vertical Format
4.7 Order of Operations with Fractions
I.
Order of Operations
II. Complex Fractions
III. Application-Trapezoid
4.8 Solving Equations with Fractions
I.
Undoing Subtraction
II. Undoing Addition
III. Undoing Multiplication
IV. Clearing Fractions from the Equation
V. Applications
5.1 Introduction to Decimals
I.
Decimal Notation
II. Pronouncing Decimal Numbers
III. Decimals to Fractions
IV. Rounding
V. Comparing Decimals
5.2 Adding and Subtracting Decimals
I.
Adding Decimals
II. Subtracting Decimals
III. Adding and Subtracting Signed Decimal Numbers
5.3 Multiplying Decimals
I.
Multiplying Signed Decimal Numbers
II. Order of Operations
III. Powers of 10
IV. Multiplying Decimal Numbers to Powers of 10
V. The Circle
5.4 Dividing Decimals
I.
Decimal divisors
II. Dividing Signed Decimal Numbers
III. Rounding
IV. Dividing by Powers of 10
V. Order of Operations
5.5 Fractions and Decimals
I.
Terminating Decimals
II. Repeating Decimals
III. Expressions Containing Both Decimals and Fractions
5.6 Equations with Decimals
I.
Combining Operations
II. Combining Like Terms
III. Using the Distributive Property
IV. Rounding Solutions
V. Applications
5.7 Introduction to Square Roots
I.
Square Roots
II. Radical Notation
III. Order of Operations
IV. Fractions and Decimals
V. Estimating Square Roots
5.8 The Pythagorean Theorem
6.1 Introduction to Ratios and Rates
I.
Rates
II. Unit Rates
6.2 Introduction to Proportion
I.
Solving Proportions
II. Applications
6.3 Unit Conversion:
I.
Units of Length
II. Units of Weight
III. Units of Volume
American System
IV. Units of Time
V. Converting Units of Speed
6.4 Unit Conversion:
I.
Units of Length
II. Units of Mass
III. Units of Volume
Metric System
6.5 American Units to Metric Units and Vice-Versa
I.
Converting Units of Length
II. Converting Units of Weight and Mass
III. Converting Units of Volume
IV. Converting Units of Speed
7.1 Percent, Decimals, Fractions
I.
Changing a Percent to a Fraction
II. Changing a Percent to a Decimal
III. Changing a Decimal to a Percent
IV. Changing a Fraction to a Percent
7.2 Solving Basic Percent Problems
I.
Find a Given Percent of a Given Number
II. Find a Percent Given Two Numbers
III. Find a Number that is a Given Percent of Another Number
7.3 General Applications of Percent
7.4 Percent Increase or Decrease
I.
Percent Increase
II. Percent Decrease
III. Discount
7.5 Interest
I.
Extending the Simple Interest Formula
7.6 Pie Charts
I.
Pie Charts