  Mary Pyo

Simple Interest

Slide Duration:

Section 1: Algebra and Decimals
Expressions and Variables

5m 57s

Intro
0:00
Vocabulary
0:06
Variable
0:09
Expression
0:48
Numerical Expression
1:08
Algebraic Expression
1:35
Word Expression
2:04
Extra Example 1: Evaluate the Expression
2:27
Extra Example 2: Evaluate the Expression
3:16
Extra Example 3: Evaluate the Expression
4:04
Extra Example 4: Evaluate the Expression
4:59
Exponents

5m 34s

Intro
0:00
What Exponents Mean
0:07
Example: Ten Squared
0:08
Extra Example 1: Exponents
0:50
Extra Example 2: Write in Exponent Form
1:58
Extra Example 3: Using Exponent and Base
2:37
Extra Example 4: Write the Equal Factors
4:26
Order of Operations

8m 40s

Intro
0:00
Please Excuse My Dear Aunt Sally
0:07
Step 1: Parenthesis
1:16
Step 2: Exponent
1:25
Step 3: Multiply and Divide
1:30
2:00
Example: Please Excuse My Dear Aunt Sally
2:26
Extra Example 1: Evaluating Expression
3:37
Extra Example 2: Evaluating Expression
4:59
Extra Example 3: Evaluating Expression
5:34
Extra Example 4: Evaluating Expression
6:25
Comparing and Ordering Decimals

13m 37s

Intro
0:00
Place Value
0:13
Examples: 1,234,567.89
0:19
Which is the Larger Value?
1:33
Which is Larger: 10.5 or 100.5
1:46
Which is Larger: 1.01 or 1.10
2:24
Which is Larger: 44.40 or 44.4
4:20
Which is Larger: 18.6 or 16.8
5:18
Extra Example 1: Order from Least to Greatest
5:55
Extra Example 2: Order from Least to Greatest
7:56
Extra Example 3: Order from Least to Greatest
9:16
Extra Example 4: Order from Least to Greatest
10:42
Rounding Decimals

12m 31s

Intro
0:00
Decimal Place Value
0:06
Example: 12,3454.6789
0:07
How to Round Decimals
1:17
Example: Rounding 1,234.567
1:18
Extra Example 1: Rounding Decimals
3:47
Extra Example 2: Rounding Decimals
6:10
Extra Example 3: Rounding Decimals
7:45
Extra Example 4: Rounding Decimals
9:56

11m 30s

Intro
0:00
0:06
Align the Decimal Point First
0:12
0:47
Place the Decimal Point in the Same Place
0:55
Check by Estimating
1:09
Examples
1:28
Add: 3.45 + 7 + 0.835
1:30
Find the Difference: 351.4 - 65.25
3:34
5:32
Extra Example 2: How Much Money?
6:09
Extra Example 3: Subtracting Decimals
7:20
9:32
Multiplying Decimals

10m 30s

Intro
0:00
Multiply the Decimals
0:05
Methods for Multiplying Decimals
0:06
Example: 1.1 x 6
0:38
Extra Example 1: Multiplying Decimals
1:51
Extra Example 2: Work Money
2:49
Extra Example 3: Multiplying Decimals
5:45
Extra Example 4: Multiplying Decimals
7:46
Dividing Decimals

17m 49s

Intro
0:00
When Dividing Decimals
0:06
Methods for Dividing Decimals
0:07
Divisor and Dividend
0:37
Example: 0.2 Divided by 10
1:35
Extra Example 1 : Dividing Decimals
5:24
Extra Example 2: How Much Does Each CD Cost?
8:22
Extra Example 3: Dividing Decimals
10:59
Extra Example 4: Dividing Decimals
12:08
Section 2: Number Relationships and Fractions
Prime Factorization

7m

Intro
0:00
Terms to Review
0:07
Prime vs. Composite
0:12
Factor
0:54
Product
1:15
Factor Tree
1:39
Example: Prime Factorization
2:01
Example: Prime Factorization
2:43
Extra Example 1: Prime Factorization
4:08
Extra Example 2: Prime Factorization
5:05
Extra Example 3: Prime Factorization
5:33
Extra Example 4: Prime Factorization
6:13
Greatest Common Factor

12m 47s

Intro
0:00
Terms to Review
0:05
Factor
0:07
Example: Factor of 20
0:18
Two Methods
0:59
Greatest Common Factor
1:00
Method 1: GCF of 15 and 30
1:37
Method 2: GCF of 15 and 30
2:58
Extra Example 1: Find the GCF of 6 and 18
5:16
Extra Example 2: Find the GCF of 36 and 27
7:43
Extra Example 3: Find the GCF of 6 and 18
9:18
Extra Example 4: Find the GCF of 54 and 36
10:30
Fraction Concepts and Simplest Form

10m 3s

Intro
0:00
Fraction Concept
0:10
Example: Birthday Cake
0:28
Example: Chocolate Bar
2:10
Simples Form
3:38
Example: Simplifying 4 out of 8
3:46
Extra Example 1: Graphically Show 4 out of 10
4:41
Extra Example 2: Finding Fraction Shown by Illustration
5:10
Extra Example 3: Simplest Form of 5 over 25
7:02
Extra Example 4: Simplest Form of 14 over 49
8:30
Least Common Multiple

14m 16s

Intro
0:00
Term to Review
0:06
Multiple
0:07
Example: Multiples of 4
0:15
Two Methods
0:41
Least Common Multiples
0:44
Method 1: LCM of 6 and 10
1:09
Method 2: LCM of 6 and 10
2:56
Extra Example 1: LCM of 12 and 15
5:09
Extra Example 2: LCM of 16 and 20
7:36
Extra Example 3 : LCM of 15 and 25
10:00
Extra Example 4 : LCM of 12 and 18
11:27
Comparing and Ordering Fractions

13m 10s

Intro
0:00
Terms Review
0:14
Greater Than
0:16
Less Than
0:40
Compare the Fractions
1:00
Example: Comparing 2/4 and 3/4
1:08
Example: Comparing 5/8 and 2/5
2:04
Extra Example 1: Compare the Fractions
3:28
Extra Example 2: Compare the Fractions
6:06
Extra Example 3: Compare the Fractions
8:01
Extra Example 4: Least to Greatest
9:37
Mixed Numbers and Improper Fractions

12m 49s

Intro
0:00
Fractions
0:10
Mixed Number
0:21
Proper Fraction
0:47
Improper Fraction
1:30
Switching Between
2:47
Mixed Number to Improper Fraction
2:53
Improper Fraction to Mixed Number
4:41
Examples: Switching Fractions
6:37
Extra Example 1: Mixed Number to Improper Fraction
8:57
Extra Example 2: Improper Fraction to Mixed Number
9:37
Extra Example 3: Improper Fraction to Mixed Number
10:21
Extra Example 4: Mixed Number to Improper Fraction
11:31
Connecting Decimals and Fractions

15m 1s

Intro
0:00
Examples: Decimals and Fractions
0:06
More Examples: Decimals and Fractions
2:48
Extra Example 1: Converting Decimal to Fraction
6:55
Extra Example 2: Converting Fraction to Decimal
8:45
Extra Example 3: Converting Decimal to Fraction
10:28
Extra Example 4: Converting Fraction to Decimal
11:42
Section 3: Fractions and Their Operations
Adding and Subtracting Fractions with Same Denominators

5m 17s

Intro
0:00
Same Denominator
0:11
Numerator and Denominator
0:18
Example: 2/6 + 5/6
0:41
Extra Example 1: Add or Subtract the Fractions
2:02
Extra Example 2: Add or Subtract the Fractions
2:45
Extra Example 3: Add or Subtract the Fractions
3:17
Extra Example 4: Add or Subtract the Fractions
4:05
Adding and Subtracting Fractions with Different Denominators

23m 8s

Intro
0:00
Least Common Multiple
0:12
LCM of 6 and 4
0:31
From LCM to LCD
2:25
3:12
Extra Example 1: Add or Subtract
6:23
Extra Example 2: Add or Subtract
9:49
Extra Example 3: Add or Subtract
14:54
Extra Example 4: Add or Subtract
18:14

19m 44s

Intro
0:00
Example
0:05
0:17
Extra Example 1: Adding Mixed Numbers
1:57
Extra Example 2: Subtracting Mixed Numbers
8:13
Extra Example 3: Adding Mixed Numbers
12:01
Extra Example 4: Subtracting Mixed Numbers
14:54
Multiplying Fractions and Mixed Numbers

21m 32s

Intro
0:00
Multiplying Fractions
0:07
Step 1: Change Mixed Numbers to Improper Fractions
0:08
Step2: Multiply the Numerators Together
0:56
Step3: Multiply the Denominators Together
1:03
Extra Example 1: Multiplying Fractions
1:37
Extra Example 2: Multiplying Fractions
6:39
Extra Example 3: Multiplying Fractions
10:20
Extra Example 4: Multiplying Fractions
13:47
Dividing Fractions and Mixed Numbers

18m

Intro
0:00
Dividing Fractions
0:09
Step 1: Change Mixed Numbers to Improper Fractions
0:15
Step 2: Flip the Second Fraction
0:27
Step 3: Multiply the Fractions
0:52
Extra Example 1: Dividing Fractions
1:23
Extra Example 2: Dividing Fractions
5:06
Extra Example 3: Dividing Fractions
9:34
Extra Example 4: Dividing Fractions
12:06
Distributive Property

11m 5s

Intro
0:00
Distributive Property
0:06
Methods of Distributive Property
0:07
Example: a(b)
0:35
Example: a(b+c)
0:49
Example: a(b+c+d)
1:22
Extra Example 1: Using Distributive Property
1:56
Extra Example 2: Using Distributive Property
4:36
Extra Example 3: Using Distributive Property
6:39
Extra Example 4: Using Distributive Property
8:19
Units of Measure

16m 36s

Intro
0:00
Length
0:05
Feet, Inches, Yard, and Mile
0:20
Millimeters, Centimeters, and Meters
0:43
Mass
2:57
Pounds, Ounces, and Tons
3:03
Grams and Kilograms
3:38
Liquid
4:11
Gallons, Quarts, Pints, and Cups
4:14
Extra Example 1: Converting Units
7:02
Extra Example 2: Converting Units
9:31
Extra Example 3: Converting Units
12:21
Extra Example 4: Converting Units
14:05
Section 4: Positive and Negative Numbers
Integers and the Number Line

13m 24s

Intro
0:00
What are Integers
0:06
Integers are all Whole Numbers and Their Opposites
0:09
Absolute Value
2:35
Extra Example 1: Compare the Integers
4:36
Extra Example 2: Writing Integers
9:24
Extra Example 3: Opposite Integer
10:38
Extra Example 4: Absolute Value
11:27

16m 5s

Intro
0:00
Using a Number Line
0:04
Example: 4 + (-2)
0:14
Example: 5 + (-8)
1:50
3:00
3:10
3:37
4:44
Extra Example 1: Add the Integers
8:21
Extra Example 2: Find the Sum
10:33
Extra Example 3: Find the Value
11:37
Extra Example 4: Add the Integers
13:10
Subtracting Integers

15m 25s

Intro
0:00
How to Subtract Integers
0:06
Two-dash Rule
0:16
Example: 3 - 5
0:44
Example: 3 - (-5)
1:12
Example: -3 - 5
1:39
Extra Example 1: Rewrite Subtraction to Addition
4:43
Extra Example 2: Find the Difference
7:59
Extra Example 3: Find the Difference
9:08
Extra Example 4: Evaluate
10:38
Multiplying Integers

7m 33s

Intro
0:00
When Multiplying Integers
0:05
If One Number is Negative
0:06
If Both Numbers are Negative
0:18
Examples: Multiplying Integers
0:53
Extra Example 1: Multiplying Integers
1:27
Extra Example 2: Multiplying Integers
2:43
Extra Example 3: Multiplying Integers
3:13
Extra Example 4: Multiplying Integers
3:51
Dividing Integers

6m 42s

Intro
0:00
When Dividing Integers
0:05
Rules for Dividing Integers
0:41
Extra Example 1: Dividing Integers
1:01
Extra Example 2: Dividing Integers
1:51
Extra Example 3: Dividing Integers
2:21
Extra Example 4: Dividing Integers
3:18
Integers and Order of Operations

11m 9s

Intro
0:00
Combining Operations
0:21
Solve Using the Order of Operations
0:22
Extra Example 1: Evaluate
1:18
Extra Example 2: Evaluate
4:20
Extra Example 3: Evaluate
6:33
Extra Example 4: Evaluate
8:13
Section 5: Solving Equations
Writing Expressions

9m 15s

Intro
0:00
Operation as Words
0:05
Operation as Words
0:06
Extra Example 1: Write Each as an Expression
2:09
Extra Example 2: Write Each as an Expression
4:27
Extra Example 3: Write Each Expression Using Words
6:45
Writing Equations

18m 3s

Intro
0:00
Equation
0:05
Definition of Equation
0:06
Examples of Equation
0:58
Operations as Words
1:39
Operations as Words
1:40
Extra Example 1: Write Each as an Equation
3:07
Extra Example 2: Write Each as an Equation
6:19
Extra Example 3: Write Each as an Equation
10:08
Extra Example 4: Determine if the Equation is True or False
13:38

24m 53s

Intro
0:00
Solving Equations
0:08
inverse Operation of Addition and Subtraction
0:09
Extra Example 1: Solve Each Equation Using Mental Math
4:15
Extra Example 2: Use Inverse Operations to Solve Each Equation
5:44
Extra Example 3: Solve Each Equation
14:51
Extra Example 4: Translate Each to an Equation and Solve
19:57
Solving Multiplication Equation

19m 46s

Intro
0:00
Multiplication Equations
0:08
Inverse Operation of Multiplication
0:09
Extra Example 1: Use Mental Math to Solve Each Equation
3:54
Extra Example 2: Use Inverse Operations to Solve Each Equation
5:55
Extra Example 3: Is -2 a Solution of Each Equation?
12:48
Extra Example 4: Solve Each Equation
15:42
Solving Division Equation

17m 58s

Intro
0:00
Division Equations
0:05
Inverse Operation of Division
0:06
Extra Example 1: Use Mental Math to Solve Each Equation
0:39
Extra Example 2: Use Inverse Operations to Solve Each Equation
2:14
Extra Example 3: Is -6 a Solution of Each Equation?
9:53
Extra Example 4: Solve Each Equation
11:50
Section 6: Ratios and Proportions
Ratio

40m 21s

Intro
0:00
Ratio
0:05
Definition of Ratio
0:06
Examples of Ratio
0:18
Rate
2:19
Definition of Rate
2:20
Unit Rate
3:38
Example: $10 / 20 pieces 5:05 Converting Rates 6:46 Example: Converting Rates 6:47 Extra Example 1: Write in Simplest Form 16:22 Extra Example 2: Find the Ratio 20:53 Extra Example 3: Find the Unit Rate 22:56 Extra Example 4: Convert the Unit 26:34 Solving Proportions 17m 22s Intro 0:00 Proportions 0:05 An Equality of Two Ratios 0:06 Cross Products 1:00 Extra Example 1: Find Two Equivalent Ratios for Each 3:21 Extra Example 2: Use Mental Math to Solve the Proportion 5:52 Extra Example 3: Tell Whether the Two Ratios Form a Proportion 8:21 Extra Example 4: Solve the Proportion 13:26 Writing Proportions 22m 1s Intro 0:00 Writing Proportions 0:08 Introduction to Writing Proportions and Example 0:10 Extra Example 1: Write a Proportion and Solve 5:54 Extra Example 2: Write a Proportion and Solve 11:19 Extra Example 3: Write a Proportion for Word Problem 17:29 Similar Polygons 16m 31s Intro 0:00 Similar Polygons 0:05 Definition of Similar Polygons 0:06 Corresponding Sides are Proportional 2:14 Extra Example 1: Write a Proportion and Find the Value of Similar Triangles 4:26 Extra Example 2: Write a Proportional to Find the Value of x 7:04 Extra Example 3: Write a Proportion for the Similar Polygons and Solve 9:04 Extra Example 4: Word Problem and Similar Polygons 11:03 Scale Drawings 13m 43s Intro 0:00 Scale Drawing 0:05 Definition of a Scale Drawing 0:06 Example: Scale Drawings 1:00 Extra Example 1: Scale Drawing 4:50 Extra Example 2: Scale Drawing 7:02 Extra Example 3: Scale Drawing 9:34 Probability 11m 51s Intro 0:00 Probability 0:05 Introduction to Probability 0:06 Example: Probability 1:22 Extra Example 1: What is the Probability of Landing on Orange? 3:26 Extra Example 2: What is the Probability of Rolling a 5? 5:02 Extra Example 3: What is the Probability that the Marble will be Red? 7:40 Extra Example 4: What is the Probability that the Student will be a Girl? 9:43 Section 7: Percents Percents, Fractions, and Decimals 35m 5s Intro 0:00 Percents 0:06 Changing Percent to a Fraction 0:07 Changing Percent to a Decimal 1:54 Fractions 4:17 Changing Fraction to Decimal 4:18 Changing Fraction to Percent 7:50 Decimals 10:10 Changing Decimal to Fraction 10:11 Changing Decimal to Percent 12:07 Extra Example 1: Write Each Percent as a Fraction in Simplest Form 13:29 Extra Example 2: Write Each as a Decimal 17:09 Extra Example 3: Write Each Fraction as a Percent 22:45 Extra Example 4: Complete the Table 29:17 Finding a Percent of a Number 28m 18s Intro 0:00 Percent of a Number 0:06 Translate Sentence into an Equation 0:07 Example: 30% of 100 is What Number? 1:05 Extra Example 1: Finding a Percent of a Number 7:12 Extra Example 2: Finding a Percent of a Number 15:56 Extra Example 3: Finding a Percent of a Number 19:14 Extra Example 4: Finding a Percent of a Number 24:26 Solving Percent Problems 32m 31s Intro 0:00 Solving Percent Problems 0:06 Translate the Sentence into an Equation 0:07 Extra Example 1: Solving Percent Problems 0:56 Extra Example 2: Solving Percent Problems 14:49 Extra Example 3: Solving Percent Problems 23:44 Simple Interest 27m 9s Intro 0:00 Simple Interest 0:05 Principal 0:06 Interest & Interest Rate 0:41 Simple Interest 1:43 Simple Interest Formula 2:23 Simple Interest Formula: I = prt 2:24 Extra Example 1: Finding Simple Interest 3:53 Extra Example 2: Finding Simple Interest 8:08 Extra Example 3: Finding Simple Interest 12:02 Extra Example 4: Finding Simple Interest 17:46 Discount and Sales Tax 17m 15s Intro 0:00 Discount 0:19 Discount 0:20 Sale Price 1:22 Sales Tax 2:24 Sales Tax 2:25 Total Due 2:59 Extra Example 1: Finding the Discount 3:43 Extra Example 2: Finding the Sale Price 6:28 Extra Example 3: Finding the Sale Tax 11:14 Extra Example 4: Finding the Total Due 14:08 Section 8: Geometry in a Plane Intersecting Lines and Angle Measures 24m 17s Intro 0:00 Intersecting Lines 0:07 Properties of Lines 0:08 When Two Lines Cross Each Other 1:55 Angles 2:56 Properties of Angles: Sides, Vertex, and Measure 2:57 Classifying Angles 7:18 Acute Angle 7:19 Right Angle 7:54 Obtuse Angle 8:03 Angle Relationships 8:56 Vertical Angles 8:57 Adjacent Angles 10:38 Complementary Angles 11:52 Supplementary Angles 12:54 Extra Example 1: Lines 16:00 Extra Example 2: Angles 18:22 Extra Example 3: Angle Relationships 20:05 Extra Example 4: Name the Measure of Angles 21:11 Angles of a Triangle 13m 35s Intro 0:00 Angles of a Triangle 0:05 All Triangles Have Three Angles 0:06 Measure of Angles 2:16 Extra Example 1: Find the Missing Angle Measure 5:39 Extra Example 2: Angles of a Triangle 7:18 Extra Example 3: Angles of a Triangle 9:24 Classifying Triangles 15m 10s Intro 0:00 Types of Triangles by Angles 0:05 Acute Triangle 0:06 Right Triangle 1:14 Obtuse Triangle 2:22 Classifying Triangles by Sides 4:18 Equilateral Triangle 4:20 Isosceles Triangle 5:21 Scalene Triangle 5:53 Extra Example 1: Classify the Triangle by Its Angles and Sides 6:34 Extra Example 2: Sketch the Figures 8:10 Extra Example 3: Classify the Triangle by Its Angles and Sides 9:55 Extra Example 4: Classify the Triangle by Its Angles and Sides 11:35 Quadrilaterals 17m 41s Intro 0:00 Quadrilaterals 0:05 Definition of Quadrilaterals 0:06 Parallelogram 0:45 Rectangle 2:28 Rhombus 3:13 Square 3:53 Trapezoid 4:38 Parallelograms 5:33 Parallelogram, Rectangle, Rhombus, Trapezoid, and Square 5:35 Extra Example 1: Give the Most Exact Name for the Figure 11:37 Extra Example 2: Fill in the Blanks 13:31 Extra Example 3: Complete Each Statement with Always, Sometimes, or Never 14:37 Area of a Parallelogram 12m 44s Intro 0:00 Area 0:06 Definition of Area 0:07 Area of a Parallelogram 2:00 Area of a Parallelogram 2:01 Extra Example 1: Find the Area of the Rectangle 4:30 Extra Example 2: Find the Area of the Parallelogram 5:29 Extra Example 3: Find the Area of the Parallelogram 7:22 Extra Example 4: Find the Area of the Shaded Region 8:55 Area of a Triangle 11m 29s Intro 0:00 Area of a Triangle 0:05 Area of a Triangle: Equation and Example 0:06 Extra Example 1: Find the Area of the Triangles 1:31 Extra Example 2: Find the Area of the Figure 4:09 Extra Example 3: Find the Area of the Shaded Region 7:45 Circumference of a Circle 15m 4s Intro 0:00 Segments in Circles 0:05 Radius 0:06 Diameter 1:08 Chord 1:49 Circumference 2:53 Circumference of a Circle 2:54 Extra Example 1: Name the Given Parts of the Circle 6:26 Extra Example 2: Find the Circumference of the Circle 7:54 Extra Example 3: Find the Circumference of Each Circle with the Given Measure 11:04 Area of a Circle 14m 43s Intro 0:00 Area of a Circle 0:05 Area of a Circle: Equation and Example 0:06 Extra Example 1: Find the Area of the Circle 2:17 Extra Example 2: Find the Area of the Circle 5:47 Extra Example 3: Find the Area of the Shaded Region 9:24 Section 11: Geometry in Space Prisms and Cylinders 21m 49s Intro 0:00 Prisms 0:06 Polyhedron 0:07 Regular Prism, Bases, and Lateral Faces 1:44 Cylinders 9:37 Bases and Altitude 9:38 Extra Example 1: Classify Each Prism by the Shape of Its Bases 11:16 Extra Example 2: Name Two Different Edges, Faces, and Vertices of the Prism 15:44 Extra Example 3: Name the Solid of Each Object 17:58 Extra Example 4: Write True or False for Each Statement 19:47 Volume of a Rectangular Prism 8m 59s Intro 0:00 Volume of a Rectangular Prism 0:06 Volume of a Rectangular Prism: Formula 0:07 Volume of a Rectangular Prism: Example 1:46 Extra Example 1: Find the Volume of the Rectangular Prism 3:39 Extra Example 2: Find the Volume of the Cube 5:00 Extra Example 3: Find the Volume of the Solid 5:56 Volume of a Triangular Prism 16m 15s Intro 0:00 Volume of a Triangular Prism 0:06 Volume of a Triangular Prism: Formula 0:07 Extra Example 1: Find the Volume of the Triangular Prism 2:42 Extra Example 2: Find the Volume of the Triangular Prism 7:21 Extra Example 3: Find the Volume of the Solid 10:38 Volume of a Cylinder 15m 55s Intro 0:00 Volume of a Cylinder 0:05 Volume of a Cylinder: Formula 0:06 Extra Example 1: Find the Volume of the Cylinder 1:52 Extra Example 2: Find the Volume of the Cylinder 7:38 Extra Example 3: Find the Volume of the Cylinder 11:25 Surface Area of a Prism 23m 28s Intro 0:00 Surface Area of a Prism 0:06 Surface Area of a Prism 0:07 Lateral Area of a Prism 2:12 Lateral Area of a Prism 2:13 Extra Example 1: Find the Surface Area of the Rectangular Prism 7:08 Extra Example 2: Find the Lateral Area and the Surface Area of the Cube 12:05 Extra Example 3: Find the Surface Area of the Triangular Prism 17:13 Surface Area of a Cylinder 27m 41s Intro 0:00 Surface Area of a Cylinder 0:06 Introduction to Surface Area of a Cylinder 0:07 Surface Area of a Cylinder 1:33 Formula 1:34 Extra Example 1: Find the Surface Area of the Cylinder 5:51 Extra Example 2: Find the Surface Area of the Cylinder 13:51 Extra Example 3: Find the Surface Area of the Cylinder 20:57 Section 10: Data Analysis and Statistics Measures of Central Tendency 24m 32s Intro 0:00 Measures of Central Tendency 0:06 Mean 1:17 Median 2:42 Mode 5:41 Extra Example 1: Find the Mean, Median, and Mode for the Following Set of Data 6:24 Extra Example 2: Find the Mean, Median, and Mode for the Following Set of Data 11:14 Extra Example 3: Find the Mean, Median, and Mode for the Following Set of Data 15:13 Extra Example 4: Find the Three Measures of the Central Tendency 19:12 Histograms 19m 43s Intro 0:00 Histograms 0:05 Definition and Example 0:06 Extra Example 1: Draw a Histogram for the Frequency Table 6:14 Extra Example 2: Create a Histogram of the Data 8:48 Extra Example 3: Create a Histogram of the Following Test Scores 14:17 Box-and-Whisker Plot 17m 54s Intro 0:00 Box-and-Whisker Plot 0:05 Median, Lower & Upper Quartile, Lower & Upper Extreme 0:06 Extra Example 1: Name the Median, Lower & Upper Quartile, Lower & Upper Extreme 6:04 Extra Example 2: Draw a Box-and-Whisker Plot Given the Information 7:35 Extra Example 3: Find the Median, Lower & Upper Quartile, Lower & Upper Extreme 9:31 Extra Example 4: Draw a Box-and-Whiskers Plots for the Set of Data 12:50 Stem-and-Leaf Plots 17m 42s Intro 0:00 Stem-and-Leaf Plots 0:05 Stem-and-Leaf Plots 0:06 Extra Example 1: Use the Data to Create a Stem-and-Leaf Plot 2:28 Extra Example 2: List All the Numbers in the Stem-and-Leaf Plot in Order From Least to Greatest 7:02 Extra Example 3: Create a Stem-and-Leaf Plot of the Data & Find the Median and the Mode. 8:59 The Coordinate Plane 19m 59s Intro 0:00 The Coordinate System 0:05 The Coordinate Plane 0:06 Quadrants, Origin, and Ordered Pair 0:50 The Coordinate Plane 7:02 Write the Coordinates for Points A, B, and C 7:03 Extra Example 1: Graph Each Point on the Coordinate Plane 9:03 Extra Example 2: Write the Coordinate and Quadrant for Each Point 11:05 Extra Example 3: Name Two Points From Each of the Four Quadrants 13:13 Extra Example 4: Graph Each Point on the Same Coordinate Plane 17:47 Section 11: Probability and Discrete Mathematics Organizing Possible Outcomes 15m 35s Intro 0:00 Compound Events 0:08 Compound Events 0:09 Fundamental Counting Principle 3:35 Extra Example 1: Create a List of All the Possible Outcomes 4:47 Extra Example 2: Create a Tree Diagram For All the Possible Outcomes 6:34 Extra Example 3: Create a Tree Diagram For All the Possible Outcomes 10:00 Extra Example 4: Fundamental Counting Principle 12:41 Independent and Dependent Events 35m 19s Intro 0:00 Independent Events 0:11 Definition 0:12 Example 1: Independent Event 1:45 Example 2: Two Independent Events 4:48 Dependent Events 9:09 Definition 9:10 Example: Dependent Events 10:10 Extra Example 1: Determine If the Two Events are Independent or Dependent Events 13:38 Extra Example 2: Find the Probability of Each Pair of Events 18:11 Extra Example 3: Use the Spinner to Find Each Probability 21:42 Extra Example 4: Find the Probability of Each Pair of Events 25:49 Disjoint Events 12m 13s Intro 0:00 Disjoint Events 0:06 Definition and Example 0:07 Extra Example 1: Disjoint & Not Disjoint Events 3:08 Extra Example 2: Disjoint & Not Disjoint Events 4:23 Extra Example 3: Independent, Dependent, and Disjoint Events 6:30 Probability of an Event Not Occurring 20m 5s Intro 0:00 Event Not Occurring 0:07 Formula and Example 0:08 Extra Example 1: Use the Spinner to Find Each Probability 7:24 Extra Example 2: Probability of Event Not Occurring 11:21 Extra Example 3: Probability of Event Not Occurring 15:51 Loading... This is a quick preview of the lesson. For full access, please Log In or Sign up. For more information, please see full course syllabus of Basic Math Bookmark & Share Embed ## Share this knowledge with your friends! ## Copy & Paste this embed code into your website’s HTML Please ensure that your website editor is in text mode when you paste the code. (In Wordpress, the mode button is on the top right corner.) × • - Allow users to view the embedded video in full-size. Since this lesson is not free, only the preview will appear on your website. • ## Discussion • ## Answer Engine • ## Study Guides • ## Practice Questions • ## Download Lecture Slides • ## Table of Contents • ## Transcription • ## Related Books Lecture Comments (7) 0 answersPost by Han Jun Kim on March 22, 2013And if these questions were in real life, is the actual money that the owner is given principle plus interest? 0 answersPost by Han Jun Kim on March 22, 2013Is there a difference between interest and simple interest? 1 answer Last reply by: Professor PyoSat Mar 2, 2013 1:37 AMPost by Edward Hook on February 9, 2013I hope you got rid of your cold quickly. 0 answersPost by Ahmed Mahdi on October 4, 2012where should i get good book for practicing all of these lessons.Thank you. 1 answerLast reply by: chad louisSat Sep 22, 2012 8:03 PMPost by chad louis on September 22, 2012shouldn't the interest be the difference between the principal and the total money earned over a certain period of time? ### Simple Interest #### Related Links • Principal: The money you deposit in a savings account • Interest: The money the bank pays you based on the interest rate • Simple interest: The interest paid only on the principal • Simple Interest Formula: I = prt • I = interest ($)
• p = principal (4)
• r = interest rate per year
• t = time in years

### Simple Interest

Find the simple interest.
P = $300 Interest rate = 15% Time = 10 years • I = Prt I = interest P = principal r = interest rate per year t = time in years • 15% = .15 • I = (300)(.15)(10)$450
Find the simple interest.
P = $150 Interest rate = 30% Time = 5 years • I = Prt • I = interest P = principal r = interest rate per year t = time in years • 30% = .30 • I = (150)(.30)(5)$225
Find the simple interest earned over 15 years when the principal is $600 and the interest rate is 10 percent. • I = Prt • I = interest P =$600
r = 10%
t = 15
• 10% = .10
• I = (600)(.10)(15)
$900 Find the simple interest earned over 30 years when the principal is$400 and the interest rate is 5 percent.
• I = Prt
• I = interest
P = $400 r = 5% t = 30 • 5% = .05 • I = (400)(.05)(30)$600
Samantha deposited $120 into a savings account with an interest rate of 10 percent. Find how much simple interest she earned over 9 years. • I = Prt • I = interest P =$120
r = 10%
t = 9
• 10% = .10
• I = (120)(.10)(9)
$108 John deposited$250 into a savings account with an interest rate of 20 percent. Find how much simple interest she earned over 15 years.
• I = Prt
• I = interest
P = $250 r = 20% t = 15 • 20% = .20 • I = (250)(.20)(15)$750
David deposited $600 into a savings account with an interest rate of 2 percent. Find how much simple interest she earned over 6 years. • I = Prt • I = interest P =$ 600
r = 2%
t = 6
• 2% = .02
• I = (600)(.02)(6)
$72 If the simple interest earned in 10 years is$250 and the interest rate is 5%, how much is the principal?
• I = Prt
• I = $250 P = principal r = 5% t = 10 • 5% = .05 • 250 = (P)(.05)(10) • 250 = 0.5P • P = [250/0.5]$500
If the simple interest earned in 10 years is $500 and the interest rate is 2%, how much is the principal? • I = Prt • I =$ 500
P = principal
r = 2%
t = 10
• 2% = .02
• 500 = (P)(.02)(10)
• 500 = 0.2P
• P = [500/0.2]
$2500 If the simple interest earned in 1 years is$120 and the interest rate is 2%, how much is the principal?
• I = Prt
• I = $120 P = principal r = 2% t = 1 • 2% = .02 • 120 = (P)(.02)(1) • 120 = 0.02P • P = [120/0.02]$ 6000

*These practice questions are only helpful when you work on them offline on a piece of paper and then use the solution steps function to check your answer.

### Simple Interest

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

• Intro 0:00
• Simple Interest 0:05
• Principal
• Interest & Interest Rate
• Simple Interest
• Simple Interest Formula 2:23
• Simple Interest Formula: I = prt
• Extra Example 1: Finding Simple Interest 3:53
• Extra Example 2: Finding Simple Interest 8:08
• Extra Example 3: Finding Simple Interest 12:02
• Extra Example 4: Finding Simple Interest 17:46

### Transcription: Simple Interest

Welcome back to Educator.com.0000

For the next lesson, we are going to go over simple interest.0002

Simple interest has to do with savings account.0010

When you take money and you want to save it,0015

you take it to the bank and you put it into a savings account.0018

That money that you deposit, that you put into the bank, is the principal.0023

The initial amount, the money that you have, that you give to the bank, is called the principal.0026

Deposit just means you putting in.0037

You are going to put it into the savings account.0039

Because you are giving it to the bank, the bank uses that money.0042

They try to make more money.0049

Since they are using your money, it is like they are borrowing your money.0052

They end up paying you what is called interest.0055

Interest is the money the bank pays you based on the interest rate.0061

You put it in the bank, in a savings account to try to save the money.0067

The bank pays you money just for putting your money into their bank.0072

That is interest; interest is also money.0078

It is the money earned; the money the bank paid you; the amount the bank paid you.0082

Interest rate is the percent.0090

They are going to give you a percent of that money.0093

This is in percent; that is the interest rate.0097

Simple interest is a type of interest; it is only based on the principal.0104

Only based on the initial deposit, the amount that you first deposit.0113

When they calculate the interest only based on that money, that is called simple interest.0119

There is going to be different types of interest.0126

We are only going to go over simple interest.0129

Simple again is when the bank pays you interest based on just the principal amount.0132

The formula for the simple interest is the principal, how much you deposit,0144

times the rate, the percent the bank is going to pay you,0154

and T for time, number of years that they are going to pay you.0162

PRT means P times R times T; the principal times the rate times the time.0167

You are going to multiply those three together.0176

That is going to give you the amount that you earned in interest, how much you made from the bank.0178

Interest again is in dollars because if you are making that money, then it is in dollars.0188

The principal; again it is money; dollars.0193

The rate; the rate is the percent; and T for time in years.0197

If it is 2 years, then T is going to be 2.0208

5 years, T is 5.0211

Since the bank is paying you, the bank is paying you a percent, you would want a high percent.0215

The higher the percent, the greater your interest, how much you are going to make.0222

Just keep all that in mind; I equals PRT; P times R times T.0228

Let's go through our examples; find the simple interest.0235

P, the principal, is 200 dollars.0240

The formula again is I, the interest, equals P times R times T.0242

I, amount that you make, is in dollars; P is in dollars.0252

Rate is in percent; T is in years.0257

Principal, the amount that you deposit, is 200 dollars.0264

I want to find the interest; I is what I am looking for.0267

Equals; P which is 200; R... remember since R is in percent,0270

anytime you use a percent to solve something out, you have to change it to decimal.0282

We can't solve out any numbers that is in percent form.0287

We have to change it to decimal form; 10 percent; remember percent to decimal.0291

Think of it as the number has to get smaller because decimals are small.0303

10 percent, I have to move the decimal point two spaces over to the left0307

because that is going to make the number smaller.0313

From here, I am going to go one, two; remember the decimal point.0315

If you don't see one, it is always at the end of the number.0318

You are going to go one space, two spaces.0322

It is going to be 0.10 or 0.1.0325

Remember when the 0 is at the end of a number behind the decimal point, then it is nothing.0330

You can just drop; it will be 0.1 or 0.10; it is the same thing.0335

I can write 0.10 times T; how many years?--12 years.0340

I wrote these numbers in parentheses; that means multiply.0352

If you have a bunch of parentheses together like that, that means multiply.0358

The reason why I don't use the X symbol for times, since we are using variable,0362

you don't want to use that little X to represent times because X can be a variable.0370

Now you want to just it either in parentheses...0378

Actually that is the only way you should do it if you are multiplying numbers together.0382

How do I find the interest?--I have to just multiply these numbers together.0389

200 times 0.10; 200 times 0.1; remember 0.1.0393

I just want to make the number smaller.0401

Again since 0 is at the end of a number behind the decimal point, I can just drop it.0404

0.1; this is 0; 0; 2.0409

How many numbers do I have behind the decimal points?0416

One; I am going to start at the end here.0419

I am going to go in one space; it will be 20.0.0421

Again this 0 is at the end of a number behind the decimal point.0427

I can just drop it; this is actually the same thing as 20.0431

200 times 0.10 was 20; I have to now multiply the 12; 20 times 12.0435

0 times 2 is 0; 2 times 2 is 4; put a 0 right here.0444

1 times 0 is 0; 1 times 2 is 2; need to add.0451

0 plus 2 is 2; 4 plus 0 is 4; 0 plus 0 is 0.0458

The interest is going to be 240 dollars.0467

Over 12 years, you are going to be making this much money.0481

Find the simple interest earned over 5 years0491

when the principal is 500 dollars and the interest rate is 5 percent.0494

The time, we know that this is time because it is saying over 5 years.0502

T equals 5 years.0506

It makes it easier if you are just going to write down what each variable is.0510

Principal is 500; P is 500 dollars.0514

The interest rate is 5 percent; it is not I.0524

I is the amount that you earned or amount that you have.0530

Rate, the interest rate, is the percent; look for this number, rate.0535

R equals 5 percent.0542

Simple interest equals the principal, PRT, 500.0550

Times R which is again 5 percent; change it to a decimal.0562

It is going to go from here one, two; 0.05.0578

Then time; how many years?--5 years.0587

500 dollars times the rate 0.05; for 5 years; you just multiply those three out.0593

500 times 0.05; 0 times 5, 0; 0; 25.0601

Here 0 times all these, it just all becomes 0s.0617

If you want, you can just write them in; it is not going to change.0621

It is going to be 2; 5; 0; 0.0626

From these two numbers, how many numbers do I have behind the decimal point?0631

I have two; I am going to go to this side.0635

I am going to go one, two; this is 25.0638

0s are at the end of a number behind the decimal point.0643

500 times 0.05 is 25; that is actually 25 dollars.0646

This is actually saying the principal, how much you deposit, how much you put in,0653

times the interest rate, this is how much they are going to pay you, 25 dollars per year0659

because when you multiply that, that just becomes 1 year.0665

But then since you have 5 years, you are going to take the 25 dollars.0669

You are going to multiply it by 5 because they are going to pay you for 5 years.0675

5 times 5 is 25; 5 times 2 is 10; plus 2 is 12.0680

No decimal points or numbers behind decimal points; 125 is my interest earned.0690

I, the amount that I make, is 125 dollars.0698

This is how much the bank is paying me.0707

For putting 500 dollars into the account for 5 years with 5 percent interest.0709

This is how much I make in those 5 years.0715

The next example, Samantha deposited 100 dollars into a savings account with an interest rate of 2 percent.0722

Find how much simple interest she earned over 8 years.0732

She took 100 dollars into the bank; that is 100.0739

The interest rate is 2 percent; the rate R.... it is not I even though it is interest rate.0747

It starts with an I, but it is the rate; it is 2 percent.0757

How many years?--the time is 8 years.0764

That means she put in 100 dollars into the savings account for 8 whole years.0771

She left it in there for 8 years.0775

That bank had to pay her for all 8 years.0776

Again I am solving for I; equals the principal, 100, times the rate, 2 percent.0782

Change it to decimal; start at the end; you are going to go one, two.0792

Be careful, 2 percent is not 0.2.0800

It is 0.02 because you have to fill in that space; 0.02 times 8 years.0802

If I multiply just the principal times the rate,0815

that is going to give me how much I am going to make in 1 year.0818

That is why I have to multiply it by 8 because they have to pay Samantha interest for all 8 years.0822

It is times 8.0831

100 times 0.02; 0; 0; 2; again 0 multiplying by all that is nothing.0833

It just becomes that; if you want, you can draw in all your 0s.0845

You add it; 200; see it is the same thing.0851

Whenever you have a 0 that you have to multiply to all the numbers, it is just nothing.0854

It is just 0s; it doesn't change anything.0858

How many numbers do I have behind decimal points?0863

I have two; I am going to start here and go one, two.0866

It is 2 dollars; 2.00.0871

These 0s you just drop because it is at the end of number and it is behind the decimal point.0875

There is a shortcut you can do.0881

Whenever you are multiplying by 100 or 10 or 1000, any multiple of 10,0882

10, 100, 1000, 10000, 100000, 1 with a bunch of 0s,0891

you can move the decimal point however many 0s there are.0897

Since there is two 0s here for 100, you can move this to make it bigger0904

because remember when you multiply, you tend to make the numbers bigger.0910

Then you just move this over one, two spaces.0913

Let's say you are multiplying this number by 10.0918

10 only has one 0; you would move the decimal point over once.0921

If you are multiplying it by 1000, you have three 0s.0926

You would have to move the decimal point over three times.0929

0; then you fill in that extra space with a 0; that is a shortcut.0932

This is going to be 2; this was 2; times the 8.0938

2 times 8 we know is 16; I equals 16.0949

That means the bank, by Samantha putting 100 dollars into the savings account at the bank,0963

and then paying her 2 percent of that 100 for 8 years,0970

she is going to end up making a total of 16 dollars.0978

Let's say we want to find out how much she has overall, she has total.0987

She left the money into the bank; the bank has her 100 dollars.0993

The bank also paid her 16 dollars.0999

How much is she going to have in all?1001

She is going to have that 100 of her money that she put in the bank1004

and that 16 dollars that the bank paid her.1009

In all, to find the total amount that she has, you can just do1013

principal, how much she deposited, plus the amount that she earned.1021

That is 100 dollars plus the 16 dollars.1029

How much is she going to have in all?--116.1034

That is just to see how much she has in all, how much total.1042

Amount that she deposited plus the amount that she made from the bank.1046

That will be her total.1051

It has to be greater than the principal amount if it is the savings account1052

because she made money so then her remaining balance has to be greater than how much she put in.1057

Let's go over one more example.1067

If the simple interest earned in 4 years is 10 dollars1070

and the interest rate is 3 percent, how much is the principal?1076

Look at what they are asking for.1084

They are asking how much is the principal?--they are asking for the P.1085

The simple interest earned in 4 years is 10 dollars.1092

Simple interest... that is I... is how much?--10 dollars.1096

The rate is 3 percent; how many years?--4 years.1105

This seems really difficult because you are used to solving for I.1121

The formula, it has you solving for I; I equals PRT.1126

They give you the I; they are asking you for the P.1135

Whenever they do this, it is OK.1139

Just all you have to do is follow the formula.1140

Just plug in the numbers according to where it is in the formula.1145

I, we have I; we know what I is; I is 10.1152

Write 10 instead of I; equals; P is what we are looking for.1156

Leave in P because we don't know what P is.1164

R; R is 3 percent; we can replace R; 3 percent becomes... one, two, 0.03.1168

T, time, is 4; this looks pretty difficult, right?1185

I know that I have this and this that I have to multiply because this is times.1197

Parentheses means times; P times this times this.1201

I can't multiply P times this number because it is a variable.1205

But I can multiply this and this together.1209

4 times... you know what, let me just do it the other way.1214

0.03 times the 4; 3 times 4 is 12; 0; plus 1 is 1.1222

How many numbers are there behind decimal points?--two.1231

You start here; you go one, two; there is my number, 0.12.1235

It is as if this whole thing right here, when I multiply these two numbers together, it gave me 0.12.1241

Let me just write it again and write 0.12 instead of that number.1248

It is still P times this number times this number.1255

But then because I can solve these two out, it is just multiplied together.1259

I can solve it out; that is 0.12; then how do I solve for P?1263

This is also 0.12 times P; how do I solve for P?--remember my example?1269

If I have 6 equal to P times 3, I know that P is 2 because 2 times 3 is 6.1277

I can also say that 6 divided by 3 is P.1291

I can take this number and divide it by this number.1296

I can take 10 and divide it by 0.12.1299

If I take 10 divided by 0.12, I can solve for P.1304

I can figure out what my P is.1309

To divide decimals, if you have a decimal on the outside,1312

you have numbers behind it besides 0, then you need to go one, two.1317

You moved it two spaces because we have to get rid of the decimal point.1322

Decimal point here is at the end; I have to go one, two.1327

Decimal point is right there; fill these in with 0s; bring it straight up.1332

12 goes into 10 zero times; 12 goes into 100... let's see.1340

I am going to try to say 8; let's do it over here.1350

Let's see; 12 times 8 is 16; 8 times 1 is 8; plus 1 is 9.1358

You can just guess and check; you can try guessing 5.1366

You can try guessing 10; then see what the best number would be.1369

12 times 8, it is over this 0, is 96; subtract it.1377

100 minus 96 is going to be 4; bring down the 0.1385

12 goes into 40 how many times?--12 times 3 is 6...36.1392

12 times 4 is 48; this one is too big.1403

Then I know it has to be the 3; plug in the 3 in here.1410

That is 36; subtract it; that is 4 if I subtract it.1416

I can bring down a 0; I can divide it again; that is also 3.1425

36; 4; look it is a repeating number; 0; 3; here I can stop.1439

I know I am going to probably keep getting the same number 3.1455

It is a repeating number.1459

But I can stop because I am dealing with money; I am looking for principal.1461

If I am looking principal, then it has to be in money.1468

Money, we know that there is only two numbers behind the decimal point1472

because that is how much cents there are or pennies there are.1476

83.33 would be the same thing as 83 dollars and 33 cents.1482

P, when I divide this number by this number, I get 83 dollars and 33 cents.1491

Let's go over what I just did.1507

This problem gave me time, gave me the simple interest; they gave me I.1510

They gave me the interest rate; they are asking for the principal.1520

I just list it out, what I am looking for and what was given to me.1526

Then I plug everything into the formula.1531

I substitute in these numbers for these variables.1534

I, the interest rate is 10 dollars.1541

I am going to put in 10 instead of I; equals.1542

P, I don't know; I am going to leave the P.1545

R, I know is 3 percent; I change it to a decimal; put it in as R.1548

T, I know as 4; I am going to put in 4 instead of the T.1555

There is my equation; again I am solving for P.1559

Here I can multiply because everything is multiplied together; P times R times T.1564

Since I can't multiply P times a number, I can do number times the number.1570

These two I can multiply together; that is what I did; multiply them; get 0.12.1574

Then to find what P is, remember if you have this example, I can do this number divided by the 3.1581

I am going to do 10 divided by 0.12; you just divide it.1589

When you divide it, make sure you move the decimal point over twice.1597

You have to move this decimal point over twice; bring it up; divide it.1600

You end up getting 83 dollars and 33 cents; that is the principal.1605

That is how much was deposited to make 10 dollars with a 3 percent interest over 4 years.1611

That is how much was put into the bank.1620

That is it for this lesson; thank you for watching Educator.com.1626

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