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RWM101: Foundations of Real World Math
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Decimals and Fractions
Course Syllabus
Course Syllabus
Unit 1: Number Properties
1.1: Commutative Law of Addition and Multiplication
Commutative and Associative Properties
Commutative Law of Addition
Commutative Law of Multiplication
1.2: Associative Law of Addition and Multiplication
Commutative and Associative Properties
Associative Law of Addition
Associative Law of Multiplication
Properties of Addition Quiz
1.3: Identity Property of Addition
Identity Property of Zero
1.4: Inverse Property of Addition
Inverse Property of Addition
Inverse Property of Addition Examples
1.5: Identity Property of Multiplication
Identity Property of 1
1.6: Inverse Property of Multiplication
Inverse Property of Multiplication
Inverse Property of Multiplication Examples
1.7: Multiplication by Zero
Multiplication by Zero
1.8: Dividing by Zero Is Undefined
Why Dividing by Zero Is Undefined
1.9: Distributive Property
Using the Distributive Property
The Distributive Law of Multiplication
Unit 1 Assessment
Unit 1 Assessment
Unit 2: GCF and LCM
2.1: Greatest Common Factor
Greatest Common Divisor
The Greatest Common Factor
2.2: Least Common Multiple
The Least Common Multiple
Least Common Multiple Examples
LCM and GCF Word Problems
Unit 3: Order of Operations
3.1: Negative Numbers
Introduction to Integers
Negative Numbers Introduction
3.2: Adding and Subtracting Negative Numbers
Adding Negative Numbers
Addition with Negative Numbers Exercises
Subtracting Negative Numbers
Subtraction with Negative Numbers Exercises
3.3: Multiplying and Dividing Integers with Different Signs
Multiplying and Dividing Integers
Multiplying/Dividing Positive and Negative Numbers
3.4: Exponents
Understanding Exponents
Exponent Examples
Introduction to Exponents
Introduction to Exponents Exercises
3.5: Order of Operations
Use the Language of Algebra
Order of Operations Exercises
Unit 4: Fractions and Rational Numbers
4.1: Identifying Parts of Fractions
Fractions of Whole Numbers
Visualize Fractions
4.2: Equivalent Fractions
Demonstrating Equivalent Fractions
4.3: Proper and Improper Fractions
Proper and Improper Fractions
Proper Fractions, Improper Fractions, and Mixed Numbers
4.4: Mixed Numbers and Improper Fractions
Visualize Fractions
4.5: Converting Between Improper Fractions and Mixed Numbers
Changing from an Improper Fraction
Changing to Improper Fractions
Converting Mixed Numbers and Improper Fractions Exercises
4.6: Fractions in Lowest Terms
Fraction in Lowest Terms
Reducing Fractions
Reducing Fractions Exercises
4.7: Finding Common Denominators
Finding Common Denominators
4.8: Adding and Subtracting Fractions
Add and Subtract Fractions with Common Denominators
Add and Subtract Fractions with Different Denominators
More with Fractions
4.9: Adding and Subtracting Mixed Numbers
Add Mixed Numbers
Subtract Mixed Numbers
Practice with Unlike Denominators
4.10: Applications of Adding and Subtracting Fractions
Adding and Subtracting Mixed Numbers
Practice Adding and Subtracting Mixed Numbers
4.11: Multiplying Fractions and Mixed Numbers
Multiplying Fractions and Mixed Numbers
Practice with Multiplying Fractions
More Practice with Multiplying Fractions
4.12: Dividing Fractions and Mixed Numbers
Dividing Fractions
Dividing Mixed Numbers
Dividing Fractions Exercises
4.13: Applications of Multiplying and Dividing Fractions
Multiplying and Dividing Fractions Word Problems
Multiply and Divide Fractions Word Problems Exercises
More Multiply and Divide Fractions Word Problems Exercises
Unit 5: Decimals
5.1: Decimal Place Value
Introduction to Decimals
Introduction to Decimals Exercises
5.2: Rounding Decimals
Rounding Decimals
More on Rounding Decimals
5.3: Converting Between Decimals and Fractions
Decimal Places
Decimals and Fractions
Decimal Exercises
5.4: Converting Repeating Decimals to Fractions
Multiplying a Decimal by a Power of 10
Converting Repeating Decimals to Fractions
Repeating Decimals
5.5: Adding and Subtracting Decimal Expressions
Adding Decimals
Adding Hundredths Exercises
Subtracting Decimals
Subtracting Hundredths Exercises
Decimal Operations
5.6: Multiplying Decimal Expressions
Multiplying Decimals
Multiplying Decimals Exercises
More on Multiplying Decimals
5.7: Dividing Decimal Expressions
Dividing Decimals with Hundredths
Dividing Decimals
5.8: Word Problems Using Decimals
Applications with Decimals
Applications with Decimals Exercises
Unit 6: Ratios and Proportions
6.1: Introduction to Ratios
Introduction to Ratios
Ratios
Ratios Exercises
6.2: Finding Unit Rates and Prices
Solving Unit Rates and Prices
Expressing Ratios as Fractions Exercises
6.3: Understanding Proportions
Applications of Proportions
Solving Proportions
6.4: Applications of Proportions
Solving Applications of Proportions
More Applications of Proportions
Applications of Proportions Exercises
Unit 7: Percentages
7.1: Describing the Meaning of Percent
The Meaning of Percents
7.2: Converting Between Decimals, Fractions, and Percents
Converting Percent to Decimal and Fraction
Ratios and Rates as Percents
7.3: Determine the Percent Given Two Numbers
Solving Basic Percent Problems
Percent Exercises
7.4: Percent Increase or Decrease and Other Percent Applications
Calculating Percent Increase, Decrease, and Discount
Percent Increase, Decrease, and Discount
Calculating Sales Tax and Commission
Sales Tax and Commission Exercises
Unit 8: Graphs and Charts
8.1: Mean, Median, Mode, and Range
Averages and Probability
Finding Mean, Median, and Mode
8.2: Stem-and-Leaf Plots
Stem-and-Leaf Plots
Reading Stem and Leaf Plot Exercises
8.3: Line Graphs
Reading Line Graphs
Make Line Plots Exercises
8.4: Bar Graphs
Reading Bar Graphs
Reading Bar Graph Exercises
Create Bar Graphs Exercises
8.5: Box-and-Whisker Plots
Box-and-Whisker Plots
Creating Box and Whisker Plots Exercises
8.6: Circle or Pie Graphs
Reading Pie Graphs (Circle Graphs)
8.7: Pictographs
Reading Pictographs
Reading Pictographs Exercises
Study Guide
RWM101 Study Guide
Course Feedback Survey
Course Feedback Survey
Certificate Final Exam
RWM101: Certificate Final Exam
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RWM101: Foundations of Real World Math
Decimals and Fractions
Decimals and Fractions
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Course Syllabus
Commutative and Associative Properties
Commutative Law of Addition
Commutative Law of Multiplication
Commutative and Associative Properties
Associative Law of Addition
Associative Law of Multiplication
Properties of Addition Quiz
Identity Property of Zero
Inverse Property of Addition
Inverse Property of Addition Examples
Identity Property of 1
Inverse Property of Multiplication
Inverse Property of Multiplication Examples
Multiplication by Zero
Why Dividing by Zero Is Undefined
Using the Distributive Property
The Distributive Law of Multiplication
Unit 1 Assessment
Greatest Common Divisor
The Greatest Common Factor
The Least Common Multiple
Least Common Multiple Examples
LCM and GCF Word Problems
Introduction to Integers
Negative Numbers Introduction
Adding Negative Numbers
Addition with Negative Numbers Exercises
Subtracting Negative Numbers
Subtraction with Negative Numbers Exercises
Multiplying and Dividing Integers
Multiplying/Dividing Positive and Negative Numbers
Understanding Exponents
Exponent Examples
Introduction to Exponents
Introduction to Exponents Exercises
Use the Language of Algebra
Order of Operations Exercises
Fractions of Whole Numbers
Visualize Fractions
Demonstrating Equivalent Fractions
Proper and Improper Fractions
Proper Fractions, Improper Fractions, and Mixed Numbers
Visualize Fractions
Changing from an Improper Fraction
Changing to Improper Fractions
Converting Mixed Numbers and Improper Fractions Exercises
Fraction in Lowest Terms
Reducing Fractions
Reducing Fractions Exercises
Finding Common Denominators
Add and Subtract Fractions with Common Denominators
Add and Subtract Fractions with Different Denominators
More with Fractions
Add Mixed Numbers
Subtract Mixed Numbers
Practice with Unlike Denominators
Adding and Subtracting Mixed Numbers
Practice Adding and Subtracting Mixed Numbers
Multiplying Fractions and Mixed Numbers
Practice with Multiplying Fractions
More Practice with Multiplying Fractions
Dividing Fractions
Dividing Mixed Numbers
Dividing Fractions Exercises
Multiplying and Dividing Fractions Word Problems
Multiply and Divide Fractions Word Problems Exercises
More Multiply and Divide Fractions Word Problems Exercises
Introduction to Decimals
Introduction to Decimals Exercises
Rounding Decimals
More on Rounding Decimals
Decimal Places
Decimal Exercises
Multiplying a Decimal by a Power of 10
Converting Repeating Decimals to Fractions
Repeating Decimals
Adding Decimals
Adding Hundredths Exercises
Subtracting Decimals
Subtracting Hundredths Exercises
Decimal Operations
Multiplying Decimals
Multiplying Decimals Exercises
More on Multiplying Decimals
Dividing Decimals with Hundredths
Dividing Decimals
Applications with Decimals
Applications with Decimals Exercises
Introduction to Ratios
Ratios
Ratios Exercises
Solving Unit Rates and Prices
Expressing Ratios as Fractions Exercises
Applications of Proportions
Solving Proportions
Solving Applications of Proportions
More Applications of Proportions
Applications of Proportions Exercises
The Meaning of Percents
Converting Percent to Decimal and Fraction
Ratios and Rates as Percents
Solving Basic Percent Problems
Percent Exercises
Calculating Percent Increase, Decrease, and Discount
Percent Increase, Decrease, and Discount
Calculating Sales Tax and Commission
Sales Tax and Commission Exercises
Averages and Probability
Finding Mean, Median, and Mode
Stem-and-Leaf Plots
Reading Stem and Leaf Plot Exercises
Reading Line Graphs
Make Line Plots Exercises
Reading Bar Graphs
Reading Bar Graph Exercises
Create Bar Graphs Exercises
Box-and-Whisker Plots
Creating Box and Whisker Plots Exercises
Reading Pie Graphs (Circle Graphs)
Reading Pictographs
Reading Pictographs Exercises
RWM101 Study Guide
Course Feedback Survey
RWM101: Certificate Final Exam
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