Mary Pyo

Order of Operations

Slide Duration:Table of Contents

Section 1: Algebra and Decimals

Expressions and Variables

5m 57s

- Intro0:00
- Vocabulary0:06
- Variable0:09
- Expression0:48
- Numerical Expression1:08
- Algebraic Expression1:35
- Word Expression2:04
- Extra Example 1: Evaluate the Expression2:27
- Extra Example 2: Evaluate the Expression3:16
- Extra Example 3: Evaluate the Expression4:04
- Extra Example 4: Evaluate the Expression4:59

Exponents

5m 34s

- Intro0:00
- What Exponents Mean0:07
- Example: Ten Squared0:08
- Extra Example 1: Exponents0:50
- Extra Example 2: Write in Exponent Form1:58
- Extra Example 3: Using Exponent and Base2:37
- Extra Example 4: Write the Equal Factors4:26

Order of Operations

8m 40s

- Intro0:00
- Please Excuse My Dear Aunt Sally0:07
- Step 1: Parenthesis1:16
- Step 2: Exponent1:25
- Step 3: Multiply and Divide1:30
- Step 4: Add and Subtract2:00
- Example: Please Excuse My Dear Aunt Sally2:26
- Extra Example 1: Evaluating Expression3:37
- Extra Example 2: Evaluating Expression4:59
- Extra Example 3: Evaluating Expression5:34
- Extra Example 4: Evaluating Expression6:25

Comparing and Ordering Decimals

13m 37s

- Intro0:00
- Place Value0:13
- Examples: 1,234,567.890:19
- Which is the Larger Value?1:33
- Which is Larger: 10.5 or 100.51:46
- Which is Larger: 1.01 or 1.102:24
- Which is Larger: 44.40 or 44.44:20
- Which is Larger: 18.6 or 16.85:18
- Extra Example 1: Order from Least to Greatest5:55
- Extra Example 2: Order from Least to Greatest7:56
- Extra Example 3: Order from Least to Greatest9:16
- Extra Example 4: Order from Least to Greatest10:42

Rounding Decimals

12m 31s

- Intro0:00
- Decimal Place Value0:06
- Example: 12,3454.67890:07
- How to Round Decimals1:17
- Example: Rounding 1,234.5671:18
- Extra Example 1: Rounding Decimals3:47
- Extra Example 2: Rounding Decimals6:10
- Extra Example 3: Rounding Decimals7:45
- Extra Example 4: Rounding Decimals9:56

Adding and Subtracting Decimals

11m 30s

- Intro0:00
- When Adding and Subtracting0:06
- Align the Decimal Point First0:12
- Add or Subtract the Digits0:47
- Place the Decimal Point in the Same Place0:55
- Check by Estimating1:09
- Examples1:28
- Add: 3.45 + 7 + 0.8351:30
- Find the Difference: 351.4 - 65.253:34
- Extra Example 1: Adding Decimals5:32
- Extra Example 2: How Much Money?6:09
- Extra Example 3: Subtracting Decimals7:20
- Extra Example 4: Adding Decimals9:32

Multiplying Decimals

10m 30s

- Intro0:00
- Multiply the Decimals0:05
- Methods for Multiplying Decimals0:06
- Example: 1.1 x 60:38
- Extra Example 1: Multiplying Decimals1:51
- Extra Example 2: Work Money2:49
- Extra Example 3: Multiplying Decimals5:45
- Extra Example 4: Multiplying Decimals7:46

Dividing Decimals

17m 49s

- Intro0:00
- When Dividing Decimals0:06
- Methods for Dividing Decimals0:07
- Divisor and Dividend0:37
- Example: 0.2 Divided by 101:35
- Extra Example 1 : Dividing Decimals5:24
- Extra Example 2: How Much Does Each CD Cost?8:22
- Extra Example 3: Dividing Decimals10:59
- Extra Example 4: Dividing Decimals12:08

Section 2: Number Relationships and Fractions

Prime Factorization

7m

- Intro0:00
- Terms to Review0:07
- Prime vs. Composite0:12
- Factor0:54
- Product1:15
- Factor Tree1:39
- Example: Prime Factorization2:01
- Example: Prime Factorization2:43
- Extra Example 1: Prime Factorization4:08
- Extra Example 2: Prime Factorization5:05
- Extra Example 3: Prime Factorization5:33
- Extra Example 4: Prime Factorization6:13

Greatest Common Factor

12m 47s

- Intro0:00
- Terms to Review0:05
- Factor0:07
- Example: Factor of 200:18
- Two Methods0:59
- Greatest Common Factor1:00
- Method 1: GCF of 15 and 301:37
- Method 2: GCF of 15 and 302:58
- Extra Example 1: Find the GCF of 6 and 185:16
- Extra Example 2: Find the GCF of 36 and 277:43
- Extra Example 3: Find the GCF of 6 and 189:18
- Extra Example 4: Find the GCF of 54 and 3610:30

Fraction Concepts and Simplest Form

10m 3s

- Intro0:00
- Fraction Concept0:10
- Example: Birthday Cake0:28
- Example: Chocolate Bar2:10
- Simples Form3:38
- Example: Simplifying 4 out of 83:46
- Extra Example 1: Graphically Show 4 out of 104:41
- Extra Example 2: Finding Fraction Shown by Illustration5:10
- Extra Example 3: Simplest Form of 5 over 257:02
- Extra Example 4: Simplest Form of 14 over 498:30

Least Common Multiple

14m 16s

- Intro0:00
- Term to Review0:06
- Multiple0:07
- Example: Multiples of 40:15
- Two Methods0:41
- Least Common Multiples0:44
- Method 1: LCM of 6 and 101:09
- Method 2: LCM of 6 and 102:56
- Extra Example 1: LCM of 12 and 155:09
- Extra Example 2: LCM of 16 and 207:36
- Extra Example 3 : LCM of 15 and 2510:00
- Extra Example 4 : LCM of 12 and 1811:27

Comparing and Ordering Fractions

13m 10s

- Intro0:00
- Terms Review0:14
- Greater Than0:16
- Less Than0:40
- Compare the Fractions1:00
- Example: Comparing 2/4 and 3/41:08
- Example: Comparing 5/8 and 2/52:04
- Extra Example 1: Compare the Fractions3:28
- Extra Example 2: Compare the Fractions6:06
- Extra Example 3: Compare the Fractions8:01
- Extra Example 4: Least to Greatest9:37

Mixed Numbers and Improper Fractions

12m 49s

- Intro0:00
- Fractions0:10
- Mixed Number0:21
- Proper Fraction0:47
- Improper Fraction1:30
- Switching Between2:47
- Mixed Number to Improper Fraction2:53
- Improper Fraction to Mixed Number4:41
- Examples: Switching Fractions6:37
- Extra Example 1: Mixed Number to Improper Fraction8:57
- Extra Example 2: Improper Fraction to Mixed Number9:37
- Extra Example 3: Improper Fraction to Mixed Number10:21
- Extra Example 4: Mixed Number to Improper Fraction11:31

Connecting Decimals and Fractions

15m 1s

- Intro0:00
- Examples: Decimals and Fractions0:06
- More Examples: Decimals and Fractions2:48
- Extra Example 1: Converting Decimal to Fraction6:55
- Extra Example 2: Converting Fraction to Decimal8:45
- Extra Example 3: Converting Decimal to Fraction10:28
- Extra Example 4: Converting Fraction to Decimal11:42

Section 3: Fractions and Their Operations

Adding and Subtracting Fractions with Same Denominators

5m 17s

- Intro0:00
- Same Denominator0:11
- Numerator and Denominator0:18
- Example: 2/6 + 5/60:41
- Extra Example 1: Add or Subtract the Fractions2:02
- Extra Example 2: Add or Subtract the Fractions2:45
- Extra Example 3: Add or Subtract the Fractions3:17
- Extra Example 4: Add or Subtract the Fractions4:05

Adding and Subtracting Fractions with Different Denominators

23m 8s

- Intro0:00
- Least Common Multiple0:12
- LCM of 6 and 40:31
- From LCM to LCD2:25
- Example: Adding 1/6 with 3/43:12
- Extra Example 1: Add or Subtract6:23
- Extra Example 2: Add or Subtract9:49
- Extra Example 3: Add or Subtract14:54
- Extra Example 4: Add or Subtract18:14

Adding and Subtracting Mixed Numbers

19m 44s

- Intro0:00
- Example0:05
- Adding Mixed Numbers0:17
- Extra Example 1: Adding Mixed Numbers1:57
- Extra Example 2: Subtracting Mixed Numbers8:13
- Extra Example 3: Adding Mixed Numbers12:01
- Extra Example 4: Subtracting Mixed Numbers14:54

Multiplying Fractions and Mixed Numbers

21m 32s

- Intro0:00
- Multiplying Fractions0:07
- Step 1: Change Mixed Numbers to Improper Fractions0:08
- Step2: Multiply the Numerators Together0:56
- Step3: Multiply the Denominators Together1:03
- Extra Example 1: Multiplying Fractions1:37
- Extra Example 2: Multiplying Fractions6:39
- Extra Example 3: Multiplying Fractions10:20
- Extra Example 4: Multiplying Fractions13:47

Dividing Fractions and Mixed Numbers

18m

- Intro0:00
- Dividing Fractions0:09
- Step 1: Change Mixed Numbers to Improper Fractions0:15
- Step 2: Flip the Second Fraction0:27
- Step 3: Multiply the Fractions0:52
- Extra Example 1: Dividing Fractions1:23
- Extra Example 2: Dividing Fractions5:06
- Extra Example 3: Dividing Fractions9:34
- Extra Example 4: Dividing Fractions12:06

Distributive Property

11m 5s

- Intro0:00
- Distributive Property0:06
- Methods of Distributive Property0:07
- Example: a(b)0:35
- Example: a(b+c)0:49
- Example: a(b+c+d)1:22
- Extra Example 1: Using Distributive Property1:56
- Extra Example 2: Using Distributive Property4:36
- Extra Example 3: Using Distributive Property6:39
- Extra Example 4: Using Distributive Property8:19

Units of Measure

16m 36s

- Intro0:00
- Length0:05
- Feet, Inches, Yard, and Mile0:20
- Millimeters, Centimeters, and Meters0:43
- Mass2:57
- Pounds, Ounces, and Tons3:03
- Grams and Kilograms3:38
- Liquid4:11
- Gallons, Quarts, Pints, and Cups4:14
- Extra Example 1: Converting Units7:02
- Extra Example 2: Converting Units9:31
- Extra Example 3: Converting Units12:21
- Extra Example 4: Converting Units14:05

Section 4: Positive and Negative Numbers

Integers and the Number Line

13m 24s

- Intro0:00
- What are Integers0:06
- Integers are all Whole Numbers and Their Opposites0:09
- Absolute Value2:35
- Extra Example 1: Compare the Integers4:36
- Extra Example 2: Writing Integers9:24
- Extra Example 3: Opposite Integer10:38
- Extra Example 4: Absolute Value11:27

Adding Integers

16m 5s

- Intro0:00
- Using a Number Line0:04
- Example: 4 + (-2)0:14
- Example: 5 + (-8)1:50
- How to Add Integers3:00
- Opposites Add to Zero3:10
- Adding Same Sign Numbers3:37
- Adding Opposite Signs Numbers4:44
- Extra Example 1: Add the Integers8:21
- Extra Example 2: Find the Sum10:33
- Extra Example 3: Find the Value11:37
- Extra Example 4: Add the Integers13:10

Subtracting Integers

15m 25s

- Intro0:00
- How to Subtract Integers0:06
- Two-dash Rule0:16
- Example: 3 - 50:44
- Example: 3 - (-5)1:12
- Example: -3 - 51:39
- Extra Example 1: Rewrite Subtraction to Addition4:43
- Extra Example 2: Find the Difference7:59
- Extra Example 3: Find the Difference9:08
- Extra Example 4: Evaluate10:38

Multiplying Integers

7m 33s

- Intro0:00
- When Multiplying Integers0:05
- If One Number is Negative0:06
- If Both Numbers are Negative0:18
- Examples: Multiplying Integers0:53
- Extra Example 1: Multiplying Integers1:27
- Extra Example 2: Multiplying Integers2:43
- Extra Example 3: Multiplying Integers3:13
- Extra Example 4: Multiplying Integers3:51

Dividing Integers

6m 42s

- Intro0:00
- When Dividing Integers0:05
- Rules for Dividing Integers0:41
- Extra Example 1: Dividing Integers1:01
- Extra Example 2: Dividing Integers1:51
- Extra Example 3: Dividing Integers2:21
- Extra Example 4: Dividing Integers3:18

Integers and Order of Operations

11m 9s

- Intro0:00
- Combining Operations0:21
- Solve Using the Order of Operations0:22
- Extra Example 1: Evaluate1:18
- Extra Example 2: Evaluate4:20
- Extra Example 3: Evaluate6:33
- Extra Example 4: Evaluate8:13

Section 5: Solving Equations

Writing Expressions

9m 15s

- Intro0:00
- Operation as Words0:05
- Operation as Words0:06
- Extra Example 1: Write Each as an Expression2:09
- Extra Example 2: Write Each as an Expression4:27
- Extra Example 3: Write Each Expression Using Words6:45

Writing Equations

18m 3s

- Intro0:00
- Equation0:05
- Definition of Equation0:06
- Examples of Equation0:58
- Operations as Words1:39
- Operations as Words1:40
- Extra Example 1: Write Each as an Equation3:07
- Extra Example 2: Write Each as an Equation6:19
- Extra Example 3: Write Each as an Equation10:08
- Extra Example 4: Determine if the Equation is True or False13:38

Solving Addition and Subtraction Equations

24m 53s

- Intro0:00
- Solving Equations0:08
- inverse Operation of Addition and Subtraction0:09
- Extra Example 1: Solve Each Equation Using Mental Math4:15
- Extra Example 2: Use Inverse Operations to Solve Each Equation5:44
- Extra Example 3: Solve Each Equation14:51
- Extra Example 4: Translate Each to an Equation and Solve19:57

Solving Multiplication Equation

19m 46s

- Intro0:00
- Multiplication Equations0:08
- Inverse Operation of Multiplication0:09
- Extra Example 1: Use Mental Math to Solve Each Equation3:54
- Extra Example 2: Use Inverse Operations to Solve Each Equation5:55
- Extra Example 3: Is -2 a Solution of Each Equation?12:48
- Extra Example 4: Solve Each Equation15:42

Solving Division Equation

17m 58s

- Intro0:00
- Division Equations0:05
- Inverse Operation of Division0:06
- Extra Example 1: Use Mental Math to Solve Each Equation0:39
- Extra Example 2: Use Inverse Operations to Solve Each Equation2:14
- Extra Example 3: Is -6 a Solution of Each Equation?9:53
- Extra Example 4: Solve Each Equation11:50

Section 6: Ratios and Proportions

Ratio

40m 21s

- Intro0:00
- Ratio0:05
- Definition of Ratio0:06
- Examples of Ratio0:18
- Rate2:19
- Definition of Rate2:20
- Unit Rate3:38
- Example: $10 / 20 pieces5:05
- Converting Rates6:46
- Example: Converting Rates6:47
- Extra Example 1: Write in Simplest Form16:22
- Extra Example 2: Find the Ratio20:53
- Extra Example 3: Find the Unit Rate22:56
- Extra Example 4: Convert the Unit26:34

Solving Proportions

17m 22s

- Intro0:00
- Proportions0:05
- An Equality of Two Ratios0:06
- Cross Products1:00
- Extra Example 1: Find Two Equivalent Ratios for Each3:21
- Extra Example 2: Use Mental Math to Solve the Proportion5:52
- Extra Example 3: Tell Whether the Two Ratios Form a Proportion8:21
- Extra Example 4: Solve the Proportion13:26

Writing Proportions

22m 1s

- Intro0:00
- Writing Proportions0:08
- Introduction to Writing Proportions and Example0:10
- Extra Example 1: Write a Proportion and Solve5:54
- Extra Example 2: Write a Proportion and Solve11:19
- Extra Example 3: Write a Proportion for Word Problem17:29

Similar Polygons

16m 31s

- Intro0:00
- Similar Polygons0:05
- Definition of Similar Polygons0:06
- Corresponding Sides are Proportional2:14
- Extra Example 1: Write a Proportion and Find the Value of Similar Triangles4:26
- Extra Example 2: Write a Proportional to Find the Value of x7:04
- Extra Example 3: Write a Proportion for the Similar Polygons and Solve9:04
- Extra Example 4: Word Problem and Similar Polygons11:03

Scale Drawings

13m 43s

- Intro0:00
- Scale Drawing0:05
- Definition of a Scale Drawing0:06
- Example: Scale Drawings1:00
- Extra Example 1: Scale Drawing4:50
- Extra Example 2: Scale Drawing7:02
- Extra Example 3: Scale Drawing9:34

Probability

11m 51s

- Intro0:00
- Probability0:05
- Introduction to Probability0:06
- Example: Probability1:22
- 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

- Intro0:00
- Percents0:06
- Changing Percent to a Fraction0:07
- Changing Percent to a Decimal1:54
- Fractions4:17
- Changing Fraction to Decimal4:18
- Changing Fraction to Percent7:50
- Decimals10:10
- Changing Decimal to Fraction10:11
- Changing Decimal to Percent12:07
- Extra Example 1: Write Each Percent as a Fraction in Simplest Form13:29
- Extra Example 2: Write Each as a Decimal17:09
- Extra Example 3: Write Each Fraction as a Percent22:45
- Extra Example 4: Complete the Table29:17

Finding a Percent of a Number

28m 18s

- Intro0:00
- Percent of a Number0:06
- Translate Sentence into an Equation0:07
- Example: 30% of 100 is What Number?1:05
- Extra Example 1: Finding a Percent of a Number7:12
- Extra Example 2: Finding a Percent of a Number15:56
- Extra Example 3: Finding a Percent of a Number19:14
- Extra Example 4: Finding a Percent of a Number24:26

Solving Percent Problems

32m 31s

- Intro0:00
- Solving Percent Problems0:06
- Translate the Sentence into an Equation0:07
- Extra Example 1: Solving Percent Problems0:56
- Extra Example 2: Solving Percent Problems14:49
- Extra Example 3: Solving Percent Problems23:44

Simple Interest

27m 9s

- Intro0:00
- Simple Interest0:05
- Principal0:06
- Interest & Interest Rate0:41
- Simple Interest1:43
- Simple Interest Formula2:23
- Simple Interest Formula: I = prt2:24
- Extra Example 1: Finding Simple Interest3:53
- Extra Example 2: Finding Simple Interest8:08
- Extra Example 3: Finding Simple Interest12:02
- Extra Example 4: Finding Simple Interest17:46

Discount and Sales Tax

17m 15s

- Intro0:00
- Discount0:19
- Discount0:20
- Sale Price1:22
- Sales Tax2:24
- Sales Tax2:25
- Total Due2:59
- Extra Example 1: Finding the Discount3:43
- Extra Example 2: Finding the Sale Price6:28
- Extra Example 3: Finding the Sale Tax11:14
- Extra Example 4: Finding the Total Due14:08

Section 8: Geometry in a Plane

Intersecting Lines and Angle Measures

24m 17s

- Intro0:00
- Intersecting Lines0:07
- Properties of Lines0:08
- When Two Lines Cross Each Other1:55
- Angles2:56
- Properties of Angles: Sides, Vertex, and Measure2:57
- Classifying Angles7:18
- Acute Angle7:19
- Right Angle7:54
- Obtuse Angle8:03
- Angle Relationships8:56
- Vertical Angles8:57
- Adjacent Angles10:38
- Complementary Angles11:52
- Supplementary Angles12:54
- Extra Example 1: Lines16:00
- Extra Example 2: Angles18:22
- Extra Example 3: Angle Relationships20:05
- Extra Example 4: Name the Measure of Angles21:11

Angles of a Triangle

13m 35s

- Intro0:00
- Angles of a Triangle0:05
- All Triangles Have Three Angles0:06
- Measure of Angles2:16
- Extra Example 1: Find the Missing Angle Measure5:39
- Extra Example 2: Angles of a Triangle7:18
- Extra Example 3: Angles of a Triangle9:24

Classifying Triangles

15m 10s

- Intro0:00
- Types of Triangles by Angles0:05
- Acute Triangle0:06
- Right Triangle1:14
- Obtuse Triangle2:22
- Classifying Triangles by Sides4:18
- Equilateral Triangle4:20
- Isosceles Triangle5:21
- Scalene Triangle5:53
- Extra Example 1: Classify the Triangle by Its Angles and Sides6:34
- Extra Example 2: Sketch the Figures8:10
- Extra Example 3: Classify the Triangle by Its Angles and Sides9:55
- Extra Example 4: Classify the Triangle by Its Angles and Sides11:35

Quadrilaterals

17m 41s

- Intro0:00
- Quadrilaterals0:05
- Definition of Quadrilaterals0:06
- Parallelogram0:45
- Rectangle2:28
- Rhombus3:13
- Square3:53
- Trapezoid4:38
- Parallelograms5:33
- Parallelogram, Rectangle, Rhombus, Trapezoid, and Square5:35
- Extra Example 1: Give the Most Exact Name for the Figure11:37
- Extra Example 2: Fill in the Blanks13:31
- Extra Example 3: Complete Each Statement with Always, Sometimes, or Never14:37

Area of a Parallelogram

12m 44s

- Intro0:00
- Area0:06
- Definition of Area0:07
- Area of a Parallelogram2:00
- Area of a Parallelogram2:01
- Extra Example 1: Find the Area of the Rectangle4:30
- Extra Example 2: Find the Area of the Parallelogram5:29
- Extra Example 3: Find the Area of the Parallelogram7:22
- Extra Example 4: Find the Area of the Shaded Region8:55

Area of a Triangle

11m 29s

- Intro0:00
- Area of a Triangle0:05
- Area of a Triangle: Equation and Example0:06
- Extra Example 1: Find the Area of the Triangles1:31
- Extra Example 2: Find the Area of the Figure4:09
- Extra Example 3: Find the Area of the Shaded Region7:45

Circumference of a Circle

15m 4s

- Intro0:00
- Segments in Circles0:05
- Radius0:06
- Diameter1:08
- Chord1:49
- Circumference2:53
- Circumference of a Circle2:54
- Extra Example 1: Name the Given Parts of the Circle6:26
- Extra Example 2: Find the Circumference of the Circle7:54
- Extra Example 3: Find the Circumference of Each Circle with the Given Measure11:04

Area of a Circle

14m 43s

- Intro0:00
- Area of a Circle0:05
- Area of a Circle: Equation and Example0:06
- Extra Example 1: Find the Area of the Circle2:17
- Extra Example 2: Find the Area of the Circle5:47
- Extra Example 3: Find the Area of the Shaded Region9:24

Section 11: Geometry in Space

Prisms and Cylinders

21m 49s

- Intro0:00
- Prisms0:06
- Polyhedron0:07
- Regular Prism, Bases, and Lateral Faces1:44
- Cylinders9:37
- Bases and Altitude9:38
- Extra Example 1: Classify Each Prism by the Shape of Its Bases11:16
- Extra Example 2: Name Two Different Edges, Faces, and Vertices of the Prism15:44
- Extra Example 3: Name the Solid of Each Object17:58
- Extra Example 4: Write True or False for Each Statement19:47

Volume of a Rectangular Prism

8m 59s

- Intro0:00
- Volume of a Rectangular Prism0:06
- Volume of a Rectangular Prism: Formula0:07
- Volume of a Rectangular Prism: Example1:46
- Extra Example 1: Find the Volume of the Rectangular Prism3:39
- Extra Example 2: Find the Volume of the Cube5:00
- Extra Example 3: Find the Volume of the Solid5:56

Volume of a Triangular Prism

16m 15s

- Intro0:00
- Volume of a Triangular Prism0:06
- Volume of a Triangular Prism: Formula0:07
- Extra Example 1: Find the Volume of the Triangular Prism2:42
- Extra Example 2: Find the Volume of the Triangular Prism7:21
- Extra Example 3: Find the Volume of the Solid10:38

Volume of a Cylinder

15m 55s

- Intro0:00
- Volume of a Cylinder0:05
- Volume of a Cylinder: Formula0:06
- Extra Example 1: Find the Volume of the Cylinder1:52
- Extra Example 2: Find the Volume of the Cylinder7:38
- Extra Example 3: Find the Volume of the Cylinder11:25

Surface Area of a Prism

23m 28s

- Intro0:00
- Surface Area of a Prism0:06
- Surface Area of a Prism0:07
- Lateral Area of a Prism2:12
- Lateral Area of a Prism2:13
- Extra Example 1: Find the Surface Area of the Rectangular Prism7:08
- Extra Example 2: Find the Lateral Area and the Surface Area of the Cube12:05
- Extra Example 3: Find the Surface Area of the Triangular Prism17:13

Surface Area of a Cylinder

27m 41s

- Intro0:00
- Surface Area of a Cylinder0:06
- Introduction to Surface Area of a Cylinder0:07
- Surface Area of a Cylinder1:33
- Formula1:34
- Extra Example 1: Find the Surface Area of the Cylinder5:51
- Extra Example 2: Find the Surface Area of the Cylinder13:51
- Extra Example 3: Find the Surface Area of the Cylinder20:57

Section 10: Data Analysis and Statistics

Measures of Central Tendency

24m 32s

- Intro0:00
- Measures of Central Tendency0:06
- Mean1:17
- Median2:42
- Mode5:41
- Extra Example 1: Find the Mean, Median, and Mode for the Following Set of Data6:24
- Extra Example 2: Find the Mean, Median, and Mode for the Following Set of Data11:14
- Extra Example 3: Find the Mean, Median, and Mode for the Following Set of Data15:13
- Extra Example 4: Find the Three Measures of the Central Tendency19:12

Histograms

19m 43s

- Intro0:00
- Histograms0:05
- Definition and Example0:06
- Extra Example 1: Draw a Histogram for the Frequency Table6:14
- Extra Example 2: Create a Histogram of the Data8:48
- Extra Example 3: Create a Histogram of the Following Test Scores14:17

Box-and-Whisker Plot

17m 54s

- Intro0:00
- Box-and-Whisker Plot0:05
- Median, Lower & Upper Quartile, Lower & Upper Extreme0:06
- Extra Example 1: Name the Median, Lower & Upper Quartile, Lower & Upper Extreme6:04
- Extra Example 2: Draw a Box-and-Whisker Plot Given the Information7:35
- Extra Example 3: Find the Median, Lower & Upper Quartile, Lower & Upper Extreme9:31
- Extra Example 4: Draw a Box-and-Whiskers Plots for the Set of Data12:50

Stem-and-Leaf Plots

17m 42s

- Intro0:00
- Stem-and-Leaf Plots0:05
- Stem-and-Leaf Plots0:06
- Extra Example 1: Use the Data to Create a Stem-and-Leaf Plot2:28
- Extra Example 2: List All the Numbers in the Stem-and-Leaf Plot in Order From Least to Greatest7:02
- 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

- Intro0:00
- The Coordinate System0:05
- The Coordinate Plane0:06
- Quadrants, Origin, and Ordered Pair0:50
- The Coordinate Plane7:02
- Write the Coordinates for Points A, B, and C7:03
- Extra Example 1: Graph Each Point on the Coordinate Plane9:03
- Extra Example 2: Write the Coordinate and Quadrant for Each Point11:05
- Extra Example 3: Name Two Points From Each of the Four Quadrants13:13
- Extra Example 4: Graph Each Point on the Same Coordinate Plane17:47

Section 11: Probability and Discrete Mathematics

Organizing Possible Outcomes

15m 35s

- Intro0:00
- Compound Events0:08
- Compound Events0:09
- Fundamental Counting Principle3:35
- Extra Example 1: Create a List of All the Possible Outcomes4:47
- Extra Example 2: Create a Tree Diagram For All the Possible Outcomes6:34
- Extra Example 3: Create a Tree Diagram For All the Possible Outcomes10:00
- Extra Example 4: Fundamental Counting Principle12:41

Independent and Dependent Events

35m 19s

- Intro0:00
- Independent Events0:11
- Definition0:12
- Example 1: Independent Event1:45
- Example 2: Two Independent Events4:48
- Dependent Events9:09
- Definition9:10
- Example: Dependent Events10:10
- Extra Example 1: Determine If the Two Events are Independent or Dependent Events13:38
- Extra Example 2: Find the Probability of Each Pair of Events18:11
- Extra Example 3: Use the Spinner to Find Each Probability21:42
- Extra Example 4: Find the Probability of Each Pair of Events25:49

Disjoint Events

12m 13s

- Intro0:00
- Disjoint Events0:06
- Definition and Example0:07
- Extra Example 1: Disjoint & Not Disjoint Events3:08
- Extra Example 2: Disjoint & Not Disjoint Events4:23
- Extra Example 3: Independent, Dependent, and Disjoint Events6:30

Probability of an Event Not Occurring

20m 5s

- Intro0:00
- Event Not Occurring0:07
- Formula and Example0:08
- Extra Example 1: Use the Spinner to Find Each Probability7:24
- Extra Example 2: Probability of Event Not Occurring11:21
- Extra Example 3: Probability of Event Not Occurring15:51

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For more information, please see full course syllabus of Basic Math

For more information, please see full course syllabus of Basic Math

# Basic Math Order of Operations

Lecture Description

In this lesson our instructor talks about the order of operations. She explains the notation of Please Excuse My Dear Aunt Sally. Four extra example videos round up this lesson.

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0 answers

Post by Laura G Hamburg on March 27 at 12:55:48 PM

So basically after we follow the operations (PEMDAS), then we read a math problem from left to right.

1 answer

Last reply by: Mr. Pikachu_ Pikapika

Sun Nov 15, 2020 3:31 PM

Post by Mr. Pikachu_ Pikapika on November 15, 2020

Answer is 32 for 2 plus 6 times 5=32

0 answers

Post by Anders Jensen on October 15, 2020

When I try to play the video by tapping on the play button the screen reader is not reading the. Button or even allowing me to apply an action to the button so I can properly p;ay the video

0 answers

Post by Anders Jensen on October 15, 2020

This website is not working properly with screen readers. I can’t even send a support email because the verification code has no audio option(it is supposed to have audio option. When I place my finger on the play button it doesn’t register. Please fix

0 answers

Post by Jay Chen on January 10, 2020

Cool

0 answers

Post by Jianjun Ni on March 11, 2019

high school level?

6 answers

Last reply by: Alex Vg

Tue May 26, 2020 11:26 PM

Post by Huan Lei on July 3, 2018

My teacher said that you can use BEDMAS, is it the same as PEMDAS?

0 answers

Post by Kyoung-Hee Kim on October 7, 2014

educator helps alot 100%

1 answer

Last reply by: Niki Wang

Sun Oct 7, 2018 8:57 PM

Post by Eileen Rothenhausler on June 16, 2014

isn't (3)2 equal to 6?

0 answers

Post by Babatunde Thomas on March 9, 2014

you have to solve what's in the parenthesis before the exponent. 5 and 2 are two numbers in one variable

2 answers

Last reply by: Mingyang Cen

Wed Aug 15, 2018 7:43 PM

Post by aljona brahaj on January 21, 2014

in the example of (5-2)power 2 I am little confuse Because I thought since we have parenthesis both number are on power can you??? explain this please

1 answer

Last reply by: Kyoung-Hee Kim

Tue Oct 7, 2014 7:29 PM

Post by tom late on September 25, 2013

Thanks allot :)

2 answers

Last reply by: Mingyang Cen

Wed Aug 15, 2018 7:44 PM

Post by Qing Wang on August 2, 2013

6*9/9=6*1=6 ? If there only exist M and D in operation, there is no order for M and D. Is that true?

5 answers

Last reply by: Mingyang Cen

Wed Aug 15, 2018 7:49 PM

Post by Vasyl Golub on June 14, 2013

in the example of 6*9/9 you said that there is no order for multiplication and division... but... how about this one: 6/2*3=?

If I choose to do first the multiplication or division, as a result we'll have a different number.

2 answers

Last reply by: Kyoung-Hee Kim

Tue Oct 7, 2014 7:17 PM

Post by Corinne Lee on July 25, 2011

thank you it helped alot

4 answers

Last reply by: Mingyang Cen

Wed Aug 15, 2018 7:48 PM

Post by MICHAEL JOHNSON on April 10, 2011

Overall, this was a great lesson. However, it was a bit confusing when Professor Pyo went through PEMDAS. She continued to explain that M-D and A-S were the same. I felt that a little more explanation on what she meant by “the same” would have been helpful. The amount of examples helped to learn the concept of order of operations.