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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 select lessons from Khan Academy’s arithmetic and pre-algebra units. This course is self-paced, not “one lesson a day,” so the student should move through the lessons as they master them.

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.)

(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.)

**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?

- 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. Go to the top of the course page for the link.
- Read the directions for this course.
- You do NOT need to watch this if you can add 2 + 2, but here’s a video, Basic Addition.
- 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.)** - 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**

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

**Lesson 3 **

- Addition 2 (Remember, the video is only if you need it. If you “got this,” then you don’t need this video.)
- Complete the exercise.

**Lesson 4 **

- Subtraction 2 (Remember, the video is only if you need it. If you “got this,” then you don’t need this video.)
- Complete the exercise.

**Lesson 5 **

- Addition 3 (Remember, the video is only if you need it. If you “got this,” then you don’t need this video.)
- Complete the exercise.

**Lesson 6 **

- Subtraction 3: Introduction to Borrowing or Regrouping (Remember, the video is only if you need it. If you “got this,” then you don’t need this video.)
- Complete the exercise. You don’t have to finish the whole exercise before moving onto #7.

**Lesson 7 **

- Why borrowing works & Alternate mental subtraction method
- Finish the subtraction exercise from #6.

**Lesson 8 **

- Addition 4
- Complete the exercise “3 digit addition with carrying.”

**Lesson 9 **

- Level 4 Subtraction
- Complete the exercise.

**Lesson 10 **

- Complete the exercise “Addition and Subtraction Word Problems .” You will do 12 questions.

**Lesson 11 **

- Negative Numbers Introduction
- Complete the exercise.

**Lesson 12 **

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

**Lesson 13 **

- Adding Negative Numbers and Adding Integers with Different Signs
- Complete the exercise.
- Play the game. Choose Math Options, Arithmetic, Add, Yes. Pay attention!

**Lesson 14 **

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

**Lesson 15 **

- Complete the exercise “Negative Number Word Problems.”

**Multiplication and Division with Positive and Negative Numbers **

**Lesson 16**

- Basic Multiplication and Multiplication 2: The Multiplication Tables
- Complete the exercise.

**Lesson 17**

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

**Lesson 18**

- Multiplying by Multiples of Ten
- Complete the exercise.

**Lesson 19**

- Division 1 and Division 2
- Complete the exercise.

**Lesson 20**

- Dividing Whole Numbers and Applications 1
- Divide without remainders.

**Lesson 21**

**Lesson 22**

- Multiplication 6: Multiple Digit Numbers.
- Complete the exercise.

**Lesson 23**

- Lattice Multiplication and Why Lattice Multiplication Works
- Finish the exercise “Multiplying 3 Digits by 2 Digits.”

**Lesson 24**

- More long division and remainder examples
- Complete the exercise.

**Lesson 25**

- Multiplication Word Problems and Division Word Problems
- Complete the exercise.

**Lesson 26**

- Level 4 Division
- Begin the exercise.

**Lesson 27 **

**Lesson 28**

- Answer the addition and subtraction word problems. (review)

**Lesson 29**

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

**Lesson 30**

- Rounding Whole Numbers 1 and Rounding Whole Numbers 2 and Rounding Whole Numbers 3
- Complete the exercise.

**Lesson 31**

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

**Lesson 32**

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

**Number Properties**

**Lesson 33**

- Commutative Law of Addition and Commutative Law of Multiplication
- 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 **

- Associative Law of Addition and Associative Law of Multiplication
- 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 35**

- The Distributive Property and The Distributive Property 2 and The Distributive Property Exercise
- Complete the exercise “Distributive Property.”

**Lesson 36**

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

**Lesson 37**

- Complete the exercise “Comparing Absolute Values.”

**Lesson 38**

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

**Lesson 39**

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

**Lesson 40**

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

**Lesson 41**

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

**Lesson 42**

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

**Factors and Multiples**

**Lesson 43**

- Prime Numbers
- Read my notes below.
- 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**

- Recognizing Prime Numbers
- Complete the exercise.

**Lesson 45**

- Recognizing Divisibility
- Common Divisibility Examples
- Complete the exercise “Divisibility Tests.”

**Lesson 46**

- Read about how to find factor pairs. Then find them.
- Check your answers.

**Lesson 47**

- Finding Factors of a Number
- Complete the exercise.

**Lesson 48**

- Prime Factorization and Prime Factorization Exercise
- Complete the exercise.

**Lesson 49**

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

**Lesson 50**

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

**Lesson 51**

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

**Lesson 52**

- The fundamental theorem of arithmetic
- Complete the exercise.

**Fractions**

**Lesson 53**

- Numerator and Denominator of a Fraction
- Complete the exercise.

**Lesson 54**

- Identifying Fraction Parts
- Complete these two exercises. one two

**Lesson 55**

- Equivalent fractions
- Complete the exercise “Equivalent Fractions.”

**Lesson 56**

- Equivalent Fractions Example
- Read the page and answer the questions.

**Lesson 57**

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

**Lesson 58**

- Fractions in lowest terms
- Read the page and answer the questions.

**Lesson 59**

- Comparing Fractions 2
- Complete the exercise.

**Lesson 60**

- Ordering Fractions
- Complete the exercise.

**Lesson 61**

- Proper and Improper Fractions and Mixed numbers and improper fractions
- 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 63**

- Changing an Improper Fraction to a Mixed Number
- Complete the exercise.

**Lesson 64**

- Changing a Mixed Number to an Improper Fraction
- Complete the exercise.

**Lesson 65**

- Comparing improper fractions and mixed numbers
- Complete the exercise “Comparing Improper Fractions and Mixed Numbers.”

**Lesson 66**

- Adding Fractions with Like Denominators
- Complete the exercise.

**Lesson 67**

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

**Lesson 68**

- Read about finding the least common multiple and answer the questions.

**Lesson 69**

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

**Lesson 70**

- Adding Fractions with Unlike Denominators and Adding fractions Example
- Complete the exercise. Choose Add Fractions and click on Go.

**Lesson 71**

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

**Lesson 72**

- Adding and subtracting fractions and Adding fractions with different signs.
- Complete the exercise.

**Lesson 73**

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

**Lesson 75**

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

**Lesson 76**

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

**Lesson 77**

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

**Lesson 78**

- Adding subtracting mixed numbers-0.5 (ex-1) and Adding subtracting mixed numbers-0.5 (ex-2)
- Complete the exercise “Adding Subtracting Mixed Numbers 0.5.”

**Lesson 79**

- Adding subtracting mixed numbers-1 (ex-1) and Adding Subtracting Mixed Numbers-1 (ex-2)
- Complete the exercise “Adding Subtracting Mixed Numbers 1.”

**Lesson 80**

- Adding Mixed Numbers Word Problem and Subtracting Mixed Numbers Word Problem
- Complete the exercises: one two.

**Lesson 81**

- Multiplying Fractions
- Complete the exercise.

**Lesson 82**

- Multiplying Mixed Numbers
- Complete the exercise.

**Lesson 83**

- Multiplying Fractions and Mixed Numbers
- Complete the exercise “Multiplying Mixed Numbers.”

**Lesson 84**

- Multiplying Fractions Word Problem
- Complete the exercise.

**Lesson 85**

- Dividing fractions and Dividing Fractions Example
- Complete the exercise.

**Lesson 86**

- Dividing Fractions Word Problem
- Complete the exercise.

**Lesson 87**

- Reciprocal of a Mixed Number
- Read this lesson and answer the “Your Turn” questions at the bottom of the page.

**Lesson 88**

- Dividing Mixed Numbers
- Convert the mixed numbers to improper fractions. Then multiply the first by the reciprocal of the second. The exercise 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.
- Complete the exercise.

**Fractions, Decimals and Percents**

**Lesson 89**

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

**Lesson 90**

- Decimals on a Number Line
- Complete the exercise.

**Lesson 91**

- Rounding Decimals
- Complete the exercise.

**Lesson 92**

- Estimation with Decimals
- Complete the exercise. (You will need to register for a free account with CK12 and login.)

**Lesson 93**

- Comparing Decimals
- Complete the exercise on comparing decimals.

**Lesson 94**

- Adding Decimals
- Complete the exercise.

**Lesson 95**

- Complete the exercise “Adding Decimals.”

**Lesson 96**

- Complete the exercise “Adding Decimals 2.”

**Lesson 97**

- Subtracting Decimals
- Complete the exercise.

**Lesson 98**

- Complete the exercise “Subtracting Decimals.”

**Lesson 99**

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

**Lesson 100**

**Lesson 101**

- Multiplying Decimals and Multiplying Decimals
- Complete the exercise.

**Lesson 102**

- Dividing Decimals by a power of ten
- Complete the exercise.

**Lesson 103**

- Dividing decimal
- Complete the exercise.

**Lesson 104**

- Dividing Decimals
- Complete the exercise “Dividing Decimals.”

**Lesson 105**

- Decimals and Fractions and Converting Fractions to Decimals Example
- Complete the exercise.

**Lesson 106**

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

**Lesson 107**

**Lesson 108**

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

**Lesson 109**

- Converting Fractions to Repeating Decimals
- Complete the exercise.

**Lesson 110**

- Describing the Meaning of Percent and Describing the Meaning of Percent 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 111**

- Converting decimals to percents (ex 1) and Converting decimals to percents (ex 2)
- Complete the exercise “Converting Decimals to Percents.”

**Lesson 112**

- Read this lesson.
- Complete the exercise “Converting Percents to Decimals.”

**Lesson 113**

- Points on a number line
- Complete the exercise.

**Lesson 114**

- Ordering numeric expressions Go to the video.
- Then read about ordering decimals and complete the “Your Turn” exercises.

**Lesson 115 **

**Lesson 116**

- Identifying Percent Amount and Base
- Read this lesson and answer the “Your Turn” questions.

**Lesson 117**

- Solving Percent Problems and Solving Percent Problems 2
- Complete the first six problems.

**Lesson 118 **

- Solving Percent Problems 3 and Growing by a percentage
- Complete the exercise.

**Ratios and Proportions**

**Lesson 119 **

**Lesson 120**

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

**Lesson 121**

- Simplifying Rates and Ratios
- Play to practice.

**Lesson 122**

- Complete the ratio word problems.

**Lesson 123**

- Understanding Proportions – Do you see they are all equivalent fractions?
- Read the top of the page until it says “Working with Proportions” and then answer questions 1 – 5 by clicking on the questions at the bottom of this page: finding an unknown in a proportion. We’ll look at this page again in the next lesson.

**Lesson 124**

- 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.
- Read the page on finding an unknown in a proportion.
- Practice with cross multiplication. You don’t have to race. You can take your time and try again.

**Lesson 125**

- Finding an unknown in a proportion (At 3 minutes it starts talking about cross multiplying, you can watch the whole thing, but I think cross multiplying is an easy trick that I use a lot, even in my adult non-school life. If another way makes more sense to you, it’s okay to use another method. You can STOP watching when he says, “You can stop watching.”)
- Complete the exercise. (Write your answers as fractions or mixed numbers.)

**Lesson 126**

- Finding Unit Rates and Finding Unit Prices
- Complete the exercise on units.

**Lesson 127**

- 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**

- Unit conversion
- Read the page on converting units and answer the questions.

**Lesson 129**

- Converting units of length
- Read the page and answer the questions.

**Lesson 130 **

- Measure something in centimeters and inches. Write them as a proportion.
- Measure something just in inches and use the proportion to figure out what the measurement is in centimeters.
- 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**

- Conversion between metric units and Converting within the metric system
- 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**

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

**Lesson 133**

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

**Lesson 134**

- 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.
- 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**

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

**Exponents**

**Lesson 136**

- Understanding Exponents and Raising Numbers to the 1st and 0th Power.
- Complete the exercise.

**Lesson 137**

- Patterns in Zeros
- Complete the exercise.

**Lesson 138**

- Exponent Rules Part 1 and Exponent Rules Part 2 and Exponents involving Quotients
- Complete the exercise.

**Lesson 139**

- Understanding Square Roots
- Complete the exercise.
- Congratulations on finishing the course!

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