# Math 5 and 6 – test page

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Course Description: Students will work through basic operations with integers, fractions and decimals. Students will progress through the study of number properties as well proportions, rates, exponents and radicals.

DIRECTIONS: This is an ordered list of 139 videos and exercises (with links) to complete Khan Academy arithmetic and pre-algebra.

(This is the same course that it was before Khan Academy aligned with Common Core. I was able to update Khan Academy’s links without changing the teaching. Where they have eliminated exercises, I just found alternatives on other sites.)

You will start at the top of the page with Addition and Subtraction and work your way down in order. Make sure you read the directions every time. The first link on each line is to the video, unless marked differently. You can move on to the exercise as soon as you know the material. That means you can do the exercise without watching the video if you already know how to do it. IT WILL START AT THE BEGINNING! The point is for you to fill any gaps in your learning and then progress forward with that solid foundation. At some point, you should probably be watching all of the videos. When you do, write the problems down and work through them with the teacher to help you stay focused and to make sure you can do it too. Some days you will be doing more than one exercise. Some days you won’t make it through one whole exercise. You will stay on an exercise until you are proficient. You should be able to do five in a row correct before you move on. One suggestion is to set aside 20 – 30 minutes for math each day. When you stop in the middle of an exercise, it should remember how many problems you’ve done.

We suggest you make an account at Khan Academy and log in. (It will track what they have completed. If they retake an exercise, it will give them new questions. It’s not required to have an account, though. If you plan to use Khan Academy’s built-in tracking, please understand that Easy Peasy is not following entire courses built by Khan Academy; therefore, it may not show “mastery” in the records.)

Addition and Subtraction with Positive and Negative Numbers

Lesson 1

Welcome to your first day of school! I wanted to give you one important reminder before you begin. Many of your lessons below have an internet link for you to click on. When you go to the different internet pages for your lessons, please DO NOT click on anything else on that page except what the directions tell you to. DO NOT click on any advertisements or games. DO NOT click on anything that takes you to a different website. Just stay focused on your lesson and then close that window and you should be right back here for the next lesson. Okay?

1. If you didn’t get here through My EP Assignments, I suggest you go there and create an account. There is an offline version of this course if you are interested in a workbook. Scroll up for the link.
2. Read the directions for this course.
3. Basic Addition  (You don’t need to watch this if you can add 2 + 2.)
4. Complete the exercise. You should do practice problems until you get five-in-a-row correct. (YES, this is correct for this level. This course starts at the beginning and will emphasize any holes in your math knowledge. PLEASE read the course description if you are confused by how easy this seems starting out.)
5. This is the end of Lesson 1. Did you set a timer for 20 or 30 minutes? If you still have time left, move on to Lesson 2. You get to move at your pace for this course. Do as many lessons as you can each day.

Lesson 2

1. Basic Subtraction  (You only need to watch the lesson videos if you can’t do a good job on the exercise.)
2. Complete the exercise.

Lesson 3

2. Complete the exercise.

Lesson 4

1. Subtraction 2
2. Complete the exercise.

Lesson 5

2. Complete the exercise.

Lesson 6

1. Subtraction 3: Introduction to Borrowing or Regrouping
2. Complete the exercise. You don’t have to finish the whole exercise before moving onto #7.

Lesson 8

2. Complete the exercise “3 digit addition with carrying.”

Lesson 9

1. Level 4 Subtraction
2. Complete the exercise.

Lesson 10

1. Complete the exercise “Addition and Subtraction Word Problems .”
2. If this site is giving you problems, making a free account seems to fix that.

Lesson 11

1. Negative Numbers Introduction
2. Complete the exercise.

Lesson 12

1. Ordering Negative Numbers
2. Play the game. Choose Math Options, Compare, and Yes. Click on the card that has the greatest value.

Lesson 13

2. Complete the exercise.
3. Play the game. Choose Math Options, Arithmetic, Add, Yes. Pay attention!

Lesson 14

2. Complete the exercise “Adding and Subtracting Negative Numbers.”
3. Play the game. Choose Math Options, Arithmetic, Subtract, Yes. Pay attention!

Lesson 15

1. Complete the exercise “Negative Number Word Problems.”

Multiplication and Division with Positive and Negative Numbers

Lesson 17

1. Multiplication 3: 10,11,12 Times Tables
2. Click on the 11 and fill in the answers.
3. Click on the 12 and fill in the answers.

Lesson 18

1. Multiplying by Multiples of Ten
2. Complete the exercise.

Lesson 19

1. Division 1 and Division 2
2. Complete the exercise.

Lesson 20

1. Dividing Whole Numbers and Applications 1
2. Complete the exercise “Division without Remainders.” Choose Division. Choose Level 3. Do it until you get confetti at least twice.

Lesson 21

Lesson 26

1. Level 4 Division
2. Begin the exercise.

Lesson 27

Lesson 28

Lesson 29

1. Place Value 1 and Place Value 2 and Place Value 3
2. Complete the exercise.

Lesson 31

1. Multiplying Positive and Negative Numbers and Why a Negative Times a Negative is a Positive and Dividing Positive and Negative Numbers
2. Complete the exercise.
3. Play the game. Choose Math Options, Arithmetic, Multiply, Yes. Pay attention!

Lesson 32

1. Learn about basic exponents. Here’s the video lesson.
2. Practice.

Number Properties

Lesson 33

1. Commutative Law of Addition and Commutative Law of Multiplication
2. Explain and demonstrate the commutative law to a younger sibling (or someone else) using toys. (If I give you one car and one plane, you have a car and a plane. If I give you one plane and one car… If I give you a toy car two times, you have… If I give you two toy cars one time, you have…)

Lesson 34

1. Associative Law of Addition and Associative Law of Multiplication
2. If you need any more help on these, you can look at the first two sections on the page about the commutative and associative laws. Complete questions 1 through 4 at the bottom of the page.

Lesson 36

1. The Number Line and Absolute Value.
2. Complete the exercise “Finding Absolute Value.”

Lesson 37

1. Complete the exercise “Comparing Absolute Values.”

Lesson 38

1. Identity Property of 1 and Identity Property of 1 (second example) and Identity Property of 0
2. Demonstrate with toys and explain the identity property to a younger sibling (or someone else).

Lesson 39

1. Inverse Property of Addition and Inverse Property of Multiplication
2. Can you identify the number property? (Click on “review” for any you got wrong.)

Lesson 40

1. Why Dividing by Zero is Undefined and Why Zero Divided by Zero is Undefined/Indeterminate and Undefined and Indeterminate
2. Explain this concept to your parent or homeschool teacher.

Lesson 41

1. Answer the multiplication and division word problems. (review)

Lesson 42

1. Introduction to Order of Operations and More Complicated Order of Operations Example
2. Complete the exercise. If you want to go for it, here’s a harder version with negative numbers.

Factors and Multiples

Lesson 43

1. Prime Numbers
• A prime number can’t be divided evenly (no remainder) by any number except itself and the number 1. Example: 7/7=1, 7/1=7 You can’t divide 7 evenly by any number other than itself and 1.
• If it is even, then you can divide it by 2.
• If it ends in 5 or 0, then you can divide it by 5.
• If you can add up the digits and divide the sum by 3 or 9, then you can divide the whole number by 3 or 9. For example 69: 6 + 9 = 15. You can divide 15 by 3, so you can divide 69 by 3.

Lesson 44

1. Recognizing Prime Numbers
2. Complete the exercise.

Lesson 46

1. Common Divisibility Examples
2. Complete the exercise “Divisibility.”

Lesson 47

1. Finding Factors of a Number
2. Complete the exercise.

Lesson 49

1. Least Common Multiple (LCM) Do NOT do the exercise on the video page.
2. Complete the exercise “Least Common Multiple.”

Lesson 50

1. Greatest Common Divisor Do NOT do the exercise on the video page.
2. Complete the exercise “Greatest Common Divisor.”

Lesson 51

1. Complete the “LCM and GCD word problems..” Pause the video. Read the problem and solve. Then watch the solution. Repeat for each problem.

Fractions

Lesson 54

1. Identifying Fraction Parts
2. Complete these two exercises. one two

Lesson 55

1. Equivalent fractions
2. Complete the exercise “Equivalent Fractions.”

Lesson 56

1. Equivalent Fractions Example

Lesson 57

1. Comparing Fractions
2. Complete the exercise “Equivalent Fractions 2.”

Lesson 58

1. Fractions in lowest terms

Lesson 59

1. Comparing Fractions 2
2. Complete the exercise.

Lesson 60

1. Ordering Fractions
2. Complete the exercise.

Lesson 61

1. Proper and Improper Fractions and Mixed numbers and improper fractions
2. Read about proper and improper fractions as well as mixed numbers. Tell someone what each of those are and when you use them.

Lesson 62

Lesson 67

1. Subtracting Fractions Do NOT do the exercise on the video.
2. Complete the exercise “Subtracting Fractions with Common Denominators.”

Lesson 68

Lesson 69

1. Finding Common Denominators
2. Read the page and answer the questions. Here’s a calculator for finding the least common multiple.

Lesson 70

2. Complete the exercise. Choose Add Fractions and click on Go.

Lesson 71

1. Complete the exercise to subtract fractions.
2. Choose Subtract Fractions and click on Go.

Lesson 72

Lesson 73

1. Complete the exercise, “Fraction Word Problems 1.”

Lesson 75

1. Complete the exercise “Fractions on a Number Line 1.”

Lesson 76

1. Complete the exercise “Fractions on a Number Line 2.”

Lesson 77

1. Complete the exercise “Fractions on a Number Line 3.”

Lesson 78

Lesson 81

1. Multiplying Fractions
2. Complete the exercise.

Lesson 82

1. Multiplying Mixed Numbers
2. Complete the exercise.

Lesson 86

1. Dividing Fractions Word Problem
2. Complete the exercise.

Lesson 87

1. Reciprocal of a Mixed Number

Lesson 88

1. Dividing Mixed Numbers and Dividing Mixed Numbers and Fractions (This has some negative numbers. That’s just the same as dividing -4 by 2. The rules for multiplying and dividing negative numbers still apply even though they are mixed numbers instead of whole numbers.)
2. Solve: 2 and 4/9 divided by 1 and 1/8. Convert the mixed numbers to improper fractions. Then multiply the first by the reciprocal of the second.

Fractions, Decimals and Percents

Lesson 89

1. Decimal Place Value and Decimal Place Value 2
2. Complete the exercises “Decimal Place Value” and “Decimals in Written Form.”

Lesson 90

1. Decimals on a Number Line
2. Complete the exercise.

Lesson 91

1. Rounding Decimals
2. Complete the exercise.

Lesson 92

1. Estimation with Decimals
2. Complete the exercise. (on CK12)

Lesson 93

1. Comparing Decimals
2. Complete the exercise “Decimals on a Number Line 2.”

Lesson 94

2. Complete the exercise.

Lesson 95

1. Complete the exercise “Adding Decimals.”

Lesson 96

1. Complete the exercise “Adding Decimals 2.”

Lesson 97

1. Subtracting Decimals
2. Complete the exercise.

Lesson 98

1. Complete the exercise “Subtracting Decimals.”

Lesson 99

1. Subtracting Decimals Word Problem Do NOT do the exercise on the video.
2. Complete the exercise “Adding and Subtracting Decimal Word Problems.

Lesson 100

Lesson 101

1. Multiplying Decimals and Multiplying Decimals
2. Complete the exercise.

Lesson 102

1. Dividing Decimals 2.1
2. Complete the exercises in the article “Dividing Decimals by powers of 10.”

Lesson 103

1. Dividing decimal
2. Complete the exercise.

Lesson 104

1. Dividing Decimals
2. Complete the exercise “Dividing Decimals.”

Lesson 106

1. Converting fractions to decimals (ex1) and Converting fractions to decimals (ex2)
2. Go to this lesson and complete the “Your Turn” questions at the bottom of the page.

Lesson 107

Lesson 108

1. Converting decimals to fractions 2 (ex 1) and Converting decimals to fractions 2 (ex 2)
2. Go to this lesson and complete the “Your Turn” questions at the bottom of the page.

Lesson 110

1. Describing the Meaning of Percent and Describing the Meaning of Percent 2
2. Do NOT do the exercise on the videos. Go to this lesson and answer the review questions at the bottom of the page.

Lesson 112

2. Complete the exercise “Converting Percents to Decimals.”

Lesson 113

1. Points on a number line
2. Complete the exercise.

Lesson 114

1. Ordering numeric expressions Go to the video.

Lesson 116

1. Identifying Percent Amount and Base

Ratios and Proportions

Lesson 119

Lesson 120

1. Ratios as Fractions in Simplest Form
2. Complete this review exercise of “Simplifying Fractions.”

Lesson 122

1. Complete the ratio word problems.

Lesson 123

1. Understanding Proportions
2. Read this lesson, finding an unknown in a proportion. Answer the questions.

Lesson 124

1. Remember that you are supposed to work on each lesson until you are proficient, until you get it. Don’t move on if you are stuck. Give it another try the next day.

Lesson 125

1. Finding an unknown in a proportion
2. Complete the exercise. (Write your answers as fractions or mixed numbers.)

Lesson 126

1. Finding Unit Rates and Finding Unit Prices
2. Complete the exercise on units.

Lesson 127

1. Take a notepad to the grocery store. Write the price and unit price as well as the measurements (e.g., 4 ounces) for five different products. You’ll find the info on the tag. The unit price is written small. At home, see if you can take the product price and come up with the same unit price as the store.

Lesson 128

1. Unit conversion

Lesson 129

1. Converting units of length

Lesson 130

1. Measure something in centimeters and inches. Write them as a proportion.
2. Measure something just in inches and use the proportion to figure out what the measurement is in centimeters.
3. Now measure it in centimeters and see if you were right. If you don’t know what U.S. Customary and Metric units are, then watch this.

Lesson 131

1. Conversion between metric units and Converting within the metric system
2. Make a chart for milliliters, liters, kiloliters; millimeters, centimeters, meters and kilometers; milligrams, grams, kilograms. Your chart should show how many of each are in the other.

Lesson 132

1. Converting Gallons to quarts pints and cups
2. Make a chart for gallons, quarts, pints, and cups that shows how many are in each other.

Lesson 133

1. Converting pounds to ounces
2. Find out how much you weighed when you were born. Figure out how much you weighed in ounces.

Lesson 134

1. Comparing Celsius and Fahrenheit temperature scales 0 (zero) degrees Celsius is the same temperature as 32 degrees Fahrenheit. 100 degrees Celsius is the same temperature as 212 degrees Fahrenheit.
2. Can you figure out how to get from one to the other? After you’ve thought about it, find the formula online or on the video. Plug in 0 and 100 and see if you get 32 and 212.

Lesson 135

1. Converting Farenheit to Celsius
2. Take today’s temperature in Fahrenheit and figure out today’s temperature in Celsius.

Exponents

Lesson 137

1. Patterns in Zeros
2. Complete the exercise.

Lesson 139

1. Understanding Square Roots
2. Complete the exercise.
3. Congratulations on finishing the course!

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SUMMER SCHOOL – Make sure you know those facts! Use flashcards, our facts practice workbooks, or online games and programs like xtramath.