2022 Update
Found a problem? Check here.
You should know all of your math facts. If you don’t, please go to xtramath every day until you do. Math is easier, and therefore more fun, when you know the answers! (Parents: If this isn’t coming easily for your child, you can slow it down. Click on parent/teacher and log in. Choose the child’s tab. Choose Change Program. Choose 6 second addition. When it’s mastered, you can change to subtraction, etc.)
Course Description: Students will expand their understanding of graphing, measurement, fractions, decimals, geometry, estimation, place value, time, and money. Students will be introduced to adding, subtracting, multiplying, dividing, and simplifying fractions, as well as probability, order of operation, the coordinate plane, long division, angles, percents and averages. Students will practice their skills and new math vocabulary using worksheets as well as online games, quizzes and activities. Students will also be challenged by mental math problems.
Materials:
 Basic Supplies List
 Lesson 61, yarn — Really, you could use any type of string. Floss would work; thread is probably too weak.
You’ll want the workbook AND parent guide to go completely offline.
The book below is for the online course.
PRINTABLES are worksheets to use with this online course.
Printables worksheets for this online course/ Buy printables as a workbook
Review
Lesson 1 (Materials: It’s not needed today, but I suggest that this year they have a math notebook, a spiral notebook or something, unless they have a lot of trouble with physically writing. If they do, you could see if they like an online scratch pad better.)
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?
Parents:
 If you didn’t get here through My EP Assignments, I suggest you go there and create an account.
 This course has an offline version and a printables workbook. Head to the course page for the book links.
Please decide about buying workbooks or printing out the worksheet packets for the year. You’ll want those worksheets available when they come up in the curriculum.
Students:
 Find the correct time. Choose “nearest minute.” Play until you get 20 correct.
 Round to the nearest ten. Play until you get 20 correct.
 Round to the nearest hundred. Play until you get 20 correct.
 This is the end of your work for this course for your first day. You are allowed to move at your own pace (this is homeschooling), but it’s intended you complete one lesson a day.
Lesson 2
 Play this time matching game. Choose Level 1.
 Practice with money.
 Do the eagle and the dog.
 Make numbers.
 Round to the nearest 100. (If you don’t remember this, here is a presentation to watch.)
Lesson 3
 Play with time. Make the last choice in each category (elapsed time – analog, to the hour). Make sure 0 is filled in for how many minutes have passed.
 Identify the shapes.
 Read the bar graphs. This site will only let you do a certain number of problems a day. Just answer the problems until it tells you you have reached the limit.
Lesson 4* (Note that an asterisk * indicates that there is a worksheet on this lesson)
 Try to find the elapsed time.
 *Then you can do your worksheet (Adding 2 digits regrouping). Check your answers.
 There is a PDF packet of all the worksheets for the year. You can print them all at once or buy it as a workbook for convenience. Find the links on the Print Page or in the EP Store.
 If you can’t remember how to do this, you can watch this video before you practice with the worksheet.
Lesson 5*
 Match the fractions.
 *Complete the worksheet (Subtraction 2 digits regrouping) (Answers)
 If you can’t remember how to do this, you can watch this presentation before you complete the worksheet.
Lesson 6*
 Do multiplication facts. Choose multiplication, level 1. How many can you get correct in 2 minutes?
 *Complete this worksheet, Add and Subtract Decimals.
 Check your answers. Understand your mistakes.
Lesson 7*
 Do division facts. Choose division, level 1. How many can you get correct in 2 minutes?
 *Complete the worksheet. (Answers)
Lesson 8*
 Do multiplication facts. Choose multiplication, level 1. How many can you get correct in 2 minutes?
 *Complete the worksheet. (Answers)
Lesson 9*
 Do division facts. Choose division, level 1. How many can you get correct in 2 minutes?
 *Complete the worksheet.
 Check and fix your answers.
Lesson 10*
 Practice rounding to the nearest ten.
 Practice rounding to the nearest ten with hundreds.
 *Complete the worksheet. (Answers)
 Check and fix your answers.
Place Value and Expanded Notation
Lesson 11
 Do multiplication facts. Choose multiplication, level 1. How many can you get correct in 2 minutes?
 Do this lesson on place value and expanded notation or expanded form. You don’t need to write the sentence at the end. You should never give your name out on the internet.
Lesson 12
 Do division facts. Choose division, level 1. Can you do more in 2 minutes?
 Read this lesson on place value and expanded form. Make sure you click to go to the next page.
Lesson 13*
 Do multiplication facts. Choose multiplication, level 1. How many can you get correct in 2 minutes?
 *Complete this worksheet on expanded form and standard form. (Answers)
Lesson 14*
 Do division facts. Choose division, level 1. How many can you get correct in 2 minutes? Can you do more than before?
 *Complete the worksheet. You’ll need scissors and you’ll need the Lesson 15 worksheet as well. You won’t finish it today, but you’ll be writing down some numbers.
 Just for fun. Make REALLY BIG NUMBERS.
Lesson 15*
 Do addition facts. Choose addition, level 1. How many can you get correct in 2 minutes?
 *Complete the Lesson 15 worksheet (this is the same one that was printed on day 14).
Lesson 16*
 Do multiplication facts. Choose multiplication, level 1. How many can you get correct in 2 minutes?
 Watch this lesson: “place value house.”
 *Complete the worksheet.
 Write a digit in each room in each house. Line up the houses and read your number. You read the numbers in a regular way (example: for 514 you say “five hundred fourteen”) and then you put on the “last name” (example: “thousand,” or “million”).
Lesson 17*
 Do division facts. Choose division, level 1. How many can you get correct in 2 minutes? Can you do more than before?
 *Complete the worksheet.
 While you work, listen to the big number song. Watch the end!
Lesson 18*
 Do multiplication facts. Choose multiplication, level 1. How many can you get correct in 2 minutes?
 *Complete the worksheet. (Answers)
 47, 531 The answer would be thousands.
Lesson 19*
 Do division facts. Choose division, level 1. How many can you get correct in 2 minutes? Can you do more than before?
 *Complete the worksheet and write the bigger numbers in expanded form. (Answers)
Lesson 20*
 Do subtraction facts. Choose subtraction, level 1. How many can you get correct in 2 minutes?
 *Complete the worksheet. (Answers)
Mental Math
Lesson 21 (Materials: math notebook to write down daily mental math answers)
 Do multiplication facts. Choose multiplication, level 1. How many can you get correct in 2 minutes?
 Get out your math notebook. Write Lesson 21. You are going to be doing mental math (math in your head). You are only to write the answers. Do not write the questions. I will read the questions to you. You will write your answers underneath Lesson 21. If you get stuck and haven’t answered when I start the next question, pay attention to what I’m saying and just move on to the next question.
 Watch this presentation. Learn about mental math.
 Check your Mental Math Answers, 41.
Lesson 22
 Do division facts. Choose division, level 1. How many can you get correct in 2 minutes? Can you do more than before?
 Get out your math notebook. Write Lesson 22. This is the label for your answers. Write your answers underneath.
 Watch this presentation. Learn about mental math. (Yes, there’s a typo in the problem, but you can still learn what it’s showing you.)
 Check your Mental Math Answers, 42.
Lesson 23
 Do multiplication facts. Choose multiplication, level 1. How many can you get correct in 2 minutes?
 Get out your math notebook. Write Lesson 23. This is the label for your answers. Write your answers underneath.
 Watch this presentation. Follow the directions. Learn some mental math techniques.
 Check your Mental Math Answers, 43.
Lesson 24
 Do division facts. Choose division, level 1. How many can you get correct in 2 minutes? Can you do more than before?
 Get out your math notebook. Write Lesson 24. This is the label for your answers. Write your answers underneath.
 Watch this presentation. Follow the directions. Learn about mental math. (It says there is another example, but alas, there is not.)
 Check your Mental Math Answers, 44.
Lesson 25*
 *Complete the mental math worksheet. Remember, you are supposed to solve them in your head!
 Expanded form 346 = 300 + 40 + 6
 Rounding 38 is near 40; remember to take 2 off of the answer.
 Use the link to check your answers when you are finished.
Multiplying Bigger Numbers
Lesson 26*
 Do addition facts. Choose addition, level 1. How many can you get correct in 2 minutes? Can you do more than before?
 Mental Math Time!
 Check your Mental Math Answers, 45.
 Watch this presentation on multiplying bigger numbers.
 *Complete the multiplication worksheet. (Answers)
 You can look at the presentation again if you need another reminder.
 Check your answers when you are done. Make sure you understand your mistakes.
Lesson 27
 Do division facts. Choose division, level 1. How many can you get correct in 2 minutes? Can you do more than before?
 Mental Math Time!
 Check your Mental Math Answers, 46.
 You are going to watch two videos with multiplication problems. Copy down each problem and write down the solution along with the video.
 Watch this video on multiplying.
 Watch this video on multiplying. Make sure you write down each problem and solve all the steps along with the video.
Lesson 28*
 Do subtraction facts. Choose subtraction, level 1. How many can you get correct in 2 minutes? Can you do more than before?
 Mental Math Time!
 Check your Mental Math Answers, 47.
 Are you ready to try some on your own?
 *Complete the worksheet, multiplication double digits. (Answers)
 Check your answers. Understand your mistakes.
Lesson 29*
 Do division facts. Choose division, level 1. How many can you get correct in 2 minutes? Can you do more than before?
 Mental Math Time!
 Check your Mental Math Answers, 48.
 *Complete the worksheet, multiplication double digits. (Answers)
 Check your answers. Fix your mistakes.
Lesson 30
 Play the place value game. Choose level 2 and place value. (Turn off your ad blocker.)

 You will need a laptop, chromebook, or desktop computer for EP. Not all links will work on mobile devices. If you are using a mobile device, this activity will send you to their paid app. You may be able to set your browser to Desktop Mode to try to bypass that. Directions here.

 Play this rounding game. Round to the nearest ten with two or threedigit numbers.
 Can you do level 3 at the expert level? Count the money.
Graphs and Charts
Lesson 31
 Do addition facts. Choose addition, level 1. How many can you get correct in 2 minutes? Can you do more than before?
 Mental Math Time!
 Check your Mental Math Answers, 49.
 Create frequency tables that show how many of each thing there are.
 You are going to write in the number that shows how frequently something appears.
 Here’s an example. Red Red Yellow Blue
 In the list above, red has a frequency of two. Yellow and blue both have a frequency of one. Green has a frequency of zero.
 Make a survey of people or things in your house. You can ask everyone at your home a question and tally the results, or you could count things like doors, apples, etc. and tally the numbers. Make a graph. Print it if you can. Make sure you include all of the labels.
Lesson 32
 Do multiplication facts. Choose multiplication, level 1. How many can you get correct in 2 minutes?
 Mental Math Time!
 Check your Mental Math Answers, 410.
 Can you read the frequency charts?
Lesson 33
 Do subtraction facts. Choose subtraction, level 1. How many can you get correct in 2 minutes? Can you do more than before?
 Mental Math Time!
 Check your Mental Math Answers, 411.
 Read about different types of frequency diagrams. Keep clicking on the arrow to read all of the pages.
 Answer the questions.
Lesson 34
 Do division facts. Choose division, level 1. How many can you get correct in 2 minutes? Can you do more than before?
 Mental Math Time!
 Check your Mental Math Answers, 412.
 Click on StepbyStep to learn about double line graphs. Make sure you do all of the parts. Click on “show me,” “next,” and each of the tabs.
 Go back to the same page and click on “test yourself.”
Lesson 35
 Play Best Friend Math. Use paper if you need to, but try and figure out the answers in your head. How many friends did you make?
 Read the clocks. Drag the puzzle picture piece onto the correct clock. If you are correct, it will stay in place.
Multiplying Bigger Numbers
Lesson 36*
 Do addition facts. Choose addition, level 1. How many can you get correct in 2 minutes? Can you do more than before?
 Mental Math Time!
 Check your Mental Math Answers, 413.
 Read this lesson on multiplying with hundreds and watch the first video.
 *Complete this worksheet on multiplying with hundreds. (Answers)
 When you are done, check your answers. Redo any problems you got wrong.
Lesson 37
 Do multiplication facts. Choose multiplication, level 1. How many can you get correct in 2 minutes?
 Mental Math Time!
 Check your Mental Math Answers, 414.
 Read this lesson on multiplying with hundreds and watch the second video.
 Click on the questions at the bottom and answer all ten.
Lesson 38*
 Do subtraction facts. Choose subtraction, level 1. How many can you get correct in 2 minutes? Can you do more than before?
 Mental Math Time!
 Check your Mental Math Answers, 415.
 *Complete the worksheet on multiplying hundreds.
 Check your answers. (Answers)
 Fix your mistakes.
Lesson 39*
 Do division facts. Choose division, level 1. How many can you get correct in 2 minutes? Can you do more than before?
 Mental Math Time!
 Check your Mental Math Answers, 416.
 *Complete your worksheet.
 Check your answers. (Answers)
 Fix your mistakes.
 Give this worksheet to a parent to put in your portfolio.
Lesson 40
 Try this activity to review using data.
 Play the rounding game. Choose rounding to the nearest hundred.
 Find the standard form of the numbers in expanded notation.
Lesson 41*
 Do addition facts. Choose addition, level 1. How many can you get correct in 2 minutes? Can you do more than before?
 Mental Math Time!
 Check your Mental Math Answers, 417.
 How would you add 16 + 7 in your head? You could add 6 + 7 + 10.
 *Complete the worksheet, multiplying practice 1.
 Check your answers. (Answers) Fix your mistakes.
Lesson 42*
 Do multiplication facts. Choose multiplication, level 1. How many can you get correct in 2 minutes?
 Mental Math Time!
 Check your Mental Math Answers, 418.
 How would you add 88 + 8 in your head? You could add 8 + 8 + 80. Or you could add 88 + 2 + 6.
 *Complete the worksheet, multiplying practice 2.
 Check your answers. (Answers) Fix your mistakes.
Lesson 43*
 Do subtraction facts. Choose subtraction, level 1. How many can you get correct in 2 minutes? Can you do more than before?
 Mental Math Time!
 Check your Mental Math Answers, 419.
 How would you subtract 20 – 3 in your head? You could count down from 20. Or you could think 10 + 10 – 3.
 *Complete the worksheet, multiplying practice 3.
 Check your answers. (Answers) Fix your mistakes.
Lesson 44*
 Do division facts. Choose division, level 1. How many can you get correct in 2 minutes? Can you do more than before?
 Mental Math Time!
 Check your Mental Math Answers, 420.
 *Complete the worksheet, multiplying practice 4.
 Check your answers. (Answers) Fix your mistakes.
Lesson 45*
 *Do the worksheet, Estimation with Multiplication. You are going to estimate the solution by rounding the top number to the nearest hundred and the bottom number to the nearest ten. Then you multiply the first digits together. Write down that number. Then you count up how many zeros are in the problem and write them in the answer. Here’s an example:
 458 x 34 = 500 x 30 = 15,000
 In the US, we put a comma after every three digits, starting on the far right with the ones. They don’t do that everywhere. I remember being confused when I was first living in Macedonia because in writing numbers they use decimal points where we would use commas, and commas where we would use decimal points. That’s how they do it in Europe.
 Check your answers. (Answers) Fix your mistakes.
Lesson 46*
 Do addition facts. Choose addition, level 1. How many can you get correct in 2 minutes? Can you do more than before?
 Mental Math Time!
 Check your Mental Math Answers, 421.
 *Complete the worksheet.
 Check you answers. (Answers) Find your mistakes.
Word Problems
Lesson 47
 Do multiplication facts. Choose multiplication, level 1. If it’s too easy, choose level 2. How many can you get correct in 2 minutes?
 Check your Mental Math Answers, 422.
 Read about solving word problems and then solve the problems.
 Multiply and add to find the right amount. Click on Next to get the first question. You will see something like 10 cents and 10 bananas and 2 cents and 2 apples. You would multiply 10 x 10 to get the cost of the bananas and 2 x 2 to get the cost of the apples. Add 100 + 4 and enter that amount by clicking on the blank box and typing in the number. Click on Check to check your answer. It will show the correct answer. It will be green if you are right; red if you are wrong. Once you get eight correct, it will show “Game Over.”
Lesson 48
 Do subtraction facts. Choose subtraction, level 1. How many can you get correct in 2 minutes? Can you do more than before?
 Check your Mental Math Answers, 423.
 Solve the multiplication and division word problems.
 Solve the word problems.
Lesson 49
 Do division facts. Choose division, level 1. How many can you get correct in 2 minutes? Can you do more than before?
 Mental Math Time!
 Check your Mental Math Answers, 424.
 Solve the word problems.
Lesson 50
 Do timed facts, if you want to go quickly, or if you’ve got time, play math games to practice all facts. Do all the operations. For the games, start at the bottom of the page and do division, multiplication, and addition and subtraction with facts to 10.
 Solve the word problems. Make sure you write the label on your answer: 12 apples, $4.50, 6 children, etc.
Fractions
Lesson 51
 Let’s start with a simple review.
 In the review it pointed out that one half, 1/2, is the same as two fourths, 2/4. What else is it the same as? If you had a pizza with 8 slices and you ate half, how many slices did you eat? Four! Four is half of eight. One way to read fractions is 4 out of 8.
 These are all the same amount.
 one half
 five tenths
 five out of ten
 0.5
 50%
 1/2 , 2/4 , 3/6 , 4/8 , 5/10 are called equivalent fractions. Equivalent means equal. Those fractions are all one half. The top number is half of the bottom number. The denominator is two times the numerator.
 When we change an equivalent fraction to its lowest terms, it’s called simplifying or reducing the fraction. That just means we take 5/10 (five tenths) and call it 1/2 (one half). If you ate 5 out of the 10 cookies, you ate one half of them. 5/10 and 1/2 are the same amount.
 One way to find an equivalent fraction is to multiply or divide the top and bottom numbers (the numerator and the denominator) by the same amount. Watch this presentation.
 Choose equivalent fractions. Play with it to make equivalent fractions. How are they made?
 Choose Reduce Fractions. You are going to find an equivalent fraction by dividing the top and bottom by the same number. If the numerator and denominator are both even, then divide by 2. Then see if you can do it again. If the numerator and denominator both end in either 0 or 5, then divide both by 5. If the numerator or denominator could both be divided by 3, then divide both. You are finding equivalent fractions.
Lesson 52
 Identify the fraction that doesn’t match the picture. One fraction shows the fraction in the picture. One is an equivalent fraction. One doesn’t belong. Which one?
 Match the equivalent fractions. (Hint: multiply the numerators and denominators by 2 or 3.)
Lesson 53
 Reduce fractions.
Lesson 54
 Compare the fractions. You compare them by looking at their numerators.
 Which fraction is the largest amount? Choose level 10.
 1/2 is greater than 2/5 because…
 1/2 equals 5/10 (multiply top and bottom by 5)
 2/5 equals 4/10 (multiply top and bottom by 2)
 5 > 4
 You can also try to picture which is bigger. One of out five slices of a circle, one fifth, is not as much as three out of four slices of a circle.
Lesson 55
 Read about proper fractions and do the first 7 questions.
Lesson 56
 Read about improper fractions and do the questions.
 Reduce fractions. Get three correct.
Lesson 57
 Read about mixed numbers or mixed fractions and do the questions.
 Reduce fractions. Get four correct.
Lesson 58*
 *Complete the worksheet. (Answers)
 Find the equivalent fraction. Get four correct.
Lesson 59*
 *Complete the worksheet. (Answers)
(NOTE TO PARENTS: Read the directions on the worksheet carefully. You are ONLY supposed to draw a labeled diagram and write an equation that matches the word problem. You are NOT supposed to work out the equation, find common denominators, subtract fractions, etc. The purpose of this activity is to start to make connections between fraction word problems and what their equations look like. We will learn how to work those equations later, not today.)  Find the equivalent fraction. Get four correct.
Lesson 60
 Simplify fractions. Choose reduce.
 Find the equivalent fraction. Get four correct.
Long Division
Lesson 61* (Materials: yarn and file folder or poster board or some other strong paper, see picture)
 Read about long division. Don’t do the questions.
 *Print out the long division lapbook. There are five pages. Here are the directions and a picture of how it will look.
 Today you can cut out the quotient, dividend, and divisor piece, as well as the long, skinny rectangle with the steps of long division. Attach the pieces to whatever you are using for your lapbook.
 Reduce fractions. Get three correct.
Lesson 62
 Read about long division.
 Today cut out and fill in the First Thing cat piece and Steps 24. Attach them to your lapbook. (You can find the four steps in the link above in #1: divide, multiply, subtract, bring down.)
 Reduce fractions. Get four correct.
Lesson 63
 Watch the study jam on multiplication and division. Then test yourself. (Note! There are two pictures missing. The answer is the top one for both of them.)
 Cut out and fill in the answers to the smiley face and Then What. Attach them to your lapbook.
 Convert the improper numbers into mixed numbers. Get two correct.
 Convert the mixed numbers into the improper fractions. Get two correct.
Lesson 64
 Cut out all of the numbers. Make sure you cut out the blank square and leave it attached to each number. You are going to fold it in half to hang it on the yarn. Attach the yarn as described in the directions. Put the numbers in the number pocket and attach it to you lapbook.
 Find the equivalent fraction. Get four correct.
Lesson 65
 Divide 84 by each of the divisors.
 Do the study jam on singledigit division. Go through the lesson step by step and then make sure you test yourself.
 Find the equivalent fraction. Get four correct.
Lesson 66
 Read this page and answer the questions about remainders.
 Reduce fractions. Get four correct.
Lesson 67
Lesson 68
 Watch the study jam, step by step, on doubledigit division. Then test yourself.
 Convert the improper numbers into mixed numbers. Get two correct.
 Convert the mixed numbers into the improper fractions. Get two correct.
Lesson 69
 Read about long division. Do the questions.
 Find the equivalent fraction. Get four correct.
Lesson 70
 Choose division. Get 5 correct on level 4. (If remainders appears as an option, choose it; otherwise, don’t worry about it.)
 Find the equivalent fraction. Get four correct.
Decimals
Lesson 71
 Place value review — Read the page.
 Read about decimal place value and answer the questions.
 Reduce fractions. Get four correct.
Lesson 72
 Read about the relationship between fractions, decimals and percents. Don’t do the questions.
 Do the study jam about dividing decimals.
 Reduce fractions. Get four correct.
Lesson 73
 Watch the video on changing fractions into decimals and answer the questions.
 Now divide to find the decimal form of 3/5 and 3/4. (answers: 0.6, 0.75)
 Convert the improper numbers into mixed numbers. Get two correct.
 Convert the mixed numbers into the improper fractions. Get two correct.
Lesson 74
 Match the fractions and decimals.
 Do it again.
 Find the equivalent fraction. Get four correct.
Lesson 75
 Do ten of the decimal problems. Match the decimal to the number in the top yellow bar.
 Add and subtract the fractions.
 Find the equivalent fraction. Get four correct.
Lesson 76
 Read about adding decimals and answer the questions.
 Reduce fractions. Get four correct.
Lesson 77
 Read about subtracting decimals and answer the questions.
 Reduce fractions. Get four correct.
Lesson 78
 Read about multiplying decimals, try the example problems and answer questions 1, 2, and 3.
 Find the equivalent fraction. Get four correct.
Lesson 79*
 *Complete, multiplying decimals.
 Check your answers when you are done. (Answers)
 Convert the improper numbers into mixed numbers. Get two correct.
 Convert the mixed numbers into the improper fractions. Get two correct.
Lesson 80*
 *Complete, multiplying decimals.
 Check your answers when you are done. (Answers)
 Give this page to a parent to add to your portfolio.
 Convert the improper numbers into mixed numbers. Get two correct.
 Convert the mixed numbers into the improper fractions. Get two correct.
Lesson 81
 Add and subtract the decimals. Choose addition, decimals, and level 1. Once you’ve gotten confetti two times, then click to go back and choose decimals, subtraction, level 1. Get that confetti!
 Reduce fractions. Get four correct.
Lesson 82
 Subtract the decimals as if you were finding the amount of change.
 Choose subtraction, money, and level 1.
 Reduce fractions. Get four correct.
Lesson 83
 Play cash out. Choose “easy,” then “medium.” Click on “NO” for “show change amount.” Subtract or count on to find the amount. Can you use mental math?
 Convert the improper numbers into mixed numbers. Get two correct.
 Convert the mixed numbers into the improper fractions. Get two correct.
Lesson 84
 Read about dividing decimals and then answer the questions.
 Refer to your lapbook if you need help remembering the steps to division.
 Find the equivalent fraction. Get four correct.
Lesson 85*
 Look at the different ways to write division problems. (Sometimes you may see 28 over 7 with a line in between, like a fraction, instead of 28/7. This means the same thing.)
 *Write the division problems in different formats, dividing in different formats. (Answers)
 Find the equivalent fraction. Get four correct.
Lesson 86*
 *Complete the worksheet, comparing fractions and decimals. Divide the fractions to convert them into decimals and then compare the decimals.
 Hint: You only need to divide as far as you need to in order to know which is the bigger fraction. Then write in the comparison symbol.
 Check your answers when you are done. (Answers)
 Reduce fractions. Get four correct.
Lesson 87
 Choose multiplication. Get five correct on level 4.
 Reduce fractions. Get four correct.
Lesson 88
 Choose division. Get five correct on level 4. (If remainders appears as an option, choose it; otherwise, don’t worry about it.)
 Convert the improper numbers into mixed numbers. Get two correct.
 Convert the mixed numbers into the improper fractions. Get two correct.
Lesson 89
 Read all THREE pages about adding fractions and do the problems. Notice how they simplify (reduce the fractions), writing an equivalent fraction for the answer.
 Add fractions. Choose “Add Fractions” and Click on “Same Denominator?” at the bottom.
 Find the equivalent fraction. Get four correct.
Lesson 90
 Death to Decimals
 Visual Fractions — Make sure you read the directions (under the word “report”)!
 Find the equivalent fraction. Get four correct.
Lesson 91
 Do addition facts. Choose addition, level 1. How many can you get correct in 2 minutes? Can you do more than before?
 Mental Math Time!
 Check your Mental Math Answers, 425.
 Read about multiplying fractions and answer the questions.
 When you add and subtract, the denominator doesn’t change.
 When you multiply and divide, you use the numerator and the denominator.
Lesson 92*
 Do multiplication facts. Choose multiplication, level 1. If it’s too easy, choose level 2. How many can you get correct in 2 minutes?
 Mental Math Time!
 Check your Mental Math Answers, 426.
 Read about multiplying fractions and answer the questions. You have to go on to the next page.
 *Complete the long division problems.
 Check your answers and fix any mistakes. (Answers) Use your long division lapbook to help you remember the steps.
Lesson 93
 Do subtraction facts. Choose subtraction, level 1. How many can you get correct in 2 minutes? Can you do more than before?
 Mental Math Time!
 Check your Mental Math Answers, 427.
 Read about dividing fractions and answer the questions.
Lesson 94*
 Do division facts. Choose division, level 1. How many can you get correct in 2 minutes? Can you do more than before?
 Mental Math Time!
 Check your Mental Math Answers, 428.
 *Complete the worksheet.
 Check and fix your answers when you are done. (Answers)
Lesson 95*
 Read about dividing fractions by whole numbers, just page one. You should copy down one of the problems and try it for yourself.
 *Complete this worksheet, dividing fractions and whole numbers. Remember that you can write a whole number as a fraction. For example, 2 is 2/1 and 8 is 8/1 . (Answers)
Averages
Lesson 96
 Learn about the mean, median, and mode.
 Practice.
 Reduce fractions. Get four correct.
Lesson 97
 Read about the mean, median, mode, and range. Then do the activities at the bottom of the page. Don’t click on the top video/activity.
 Reduce fractions. Get four correct.
Lesson 98
 Mean, median, and mode
 Divide the fractions.
 Multiply fractions. Get two correct.
Lesson 99
 Play Rags to Riches and with averages.
 Find the equivalent fraction. Get four correct.
 Multiply. Get one correct.
 If you like math games, here’s another. Find the average. I suggest “normal” level. You click right and left to move the tank.
Lesson 100
 Add and subtract the money to make change. Choose hard and a flag.
 Round to the nearest…
 Find the equivalent fraction. Get four correct.
 Divide. Get one correct.
Percents
Lesson 101
 Read about percentages and answer the questions.
 Reduce fractions. Get four correct.
Lesson 102
 I know you’ve seen this before, but read about fractions, decimals, and percentages and answer the questions.
 Reduce fractions. Get four correct.
Lesson 103
 Change fractions into percentages.
 Divide fractions. Get one correct.
 Multiply mixed numbers. Get at least one correct.
Lesson 104
 Convert decimals, fractions, and percentages.
 Find the equivalent fraction. Get four correct.
 Multiply. Get one correct.
Lesson 105
 Match the fractions and decimals. Figure them out.
 Watch the video on decimal place value.
 Find the equivalent fraction. Get four correct.
 Divide. Get one correct.
Word Problems
Lesson 106
 Can you figure out these prices?
 Here is some help.
 A 20% tip on a $10 bill is $10 x 0.20 = $2.00.
 A 30% discount on a $100 item is $100 is 0.30 x $100 = $30 off. The final price would be $100 – $30 = final price.
 Reduce fractions. Get four correct.
Lesson 107
 Solve the story problems.
 Reduce fractions. Get four correct.
Lesson 108
 Solve the word problems.
 Multiply mixed numbers. Get two correct.
Lesson 109
 Solve the word problems. Only use the information you need!
 Find the equivalent fraction. Get four correct.
 Multiply. Get one correct.
Lesson 110
 Solve the word problems. It will show you step by step how to solve it.
 Find the equivalent fraction. Get four correct.
 Divide. Get one correct.
Rounding Decimals
Lesson 111
 Play the place value game. Choose level 3 and place value.
 Read about rounding decimals and answer the questions.
 Reduce fractions. Get four correct.
Lesson 112
 Play the ducks decimal place value game.
 Play the pirate decimal place value game.
 Play some games.
 Reduce fractions. Get four correct.
Lesson 113
 Play the rounding game.
 Play Arithmetic.
 Choose each addition, subtraction, multiplication, and division.
 Choose level 1 for each.
 See the confetti fall before you switch to the next type.
 Play some games.
 Divide fractions. Get one correct.
 Multiply mixed numbers. Get at one correct.
Lesson 114
 Quick! Add the decimals. Combine two bones to make the target number.
 Round the decimals. Follow the directions each time at the top of the screen. It doesn’t always ask you to do the same thing.
 Play some games.
 Find the equivalent fraction. Get four correct.
 Multiply. Get one correct.
Lesson 115
 Play with the decimal number line. Click on decimal and then the different options. Read the number line! How do those numbers fit together?
 Now, play the decimal detective game. Choose the sergeant mode.
 Find the equivalent fraction. Get four correct.
 Divide. Get one correct.
Time
Lesson 116
 Go through all four operations, each until you see confetti. Choose level 2. Once you see confetti, you can click to go back and make a new choice (in the bottom left corner).
 Play the time traveler game.
 Reduce fractions. Get four correct.
Lesson 117
 Solve the word problems.
 Practice elapsed time.
 Reduce fractions. Get four correct.
Lesson 118
 Solve the word problems.
 Practice elapsed time.
 Multiply mixed numbers. Get two correct.
Geometry (and Measurement)
Lesson 119
 Solve the word problems.
 Watch the shape song. Yes, I know it starts with a circle, but be patient.
 Find the equivalent fraction. Get four correct.
 Multiply. Get one correct.
Lesson 120(*)
 Solve the word problems. (Take a screen shot of your correct answer and print it out for your portfolio.)
 Read about dimensions and 3D shapes.
 (*) Even if you don’t make it, take a look at this dodecahedron net. Nets are 3D images opened up and laid flat. You can print this and cut and paste it back into its 3D shape.
 Find the equivalent fraction. Get four correct.
 Divide. Get one correct.
Lesson 121
 Solve the word problems.
 Play 3D shape explorer.
 Reduce fractions. Get four correct.
Lesson 122
 Read about the properties of the 3D shape and do the activities UNDER the reading. Don’t use the video on the top of the page.
 Here are some shapes labeled. Names – Properties
 Count the coins. Choose all four types.
 Reduce fractions. Get four correct.
Lesson 123
 What is a line of symmetry? Then click on the link there for reflection symmetry.
 Here are some examples. Skip the video at the top. Look at the pictures and read the description, and then try the activity at the bottom of the page.
 Identify the lines of symmetry.
 Divide mixed numbers. Get one correct.
 Multiply mixed numbers. Get at one correct.
Lesson 124
 Learn about the types of angles.
 Identify the angle types.
 Find the equivalent fraction. Get four correct.
 Multiply. Get one correct.
Lesson 125
 Identify the angles.
 Find the equivalent fraction. Get four correct.
 Divide. Get one correct.
Lesson 126
Lesson 127
 Learn about perimeter and area.
 Find the area and perimeter. Click Game and then choose level 2.
 Reduce fractions. Get four correct.
Lesson 128
 Measure with a ruler. Choose hard centimeters and inches (or super brain!)
 Read about perimeter and answer the questions.
 Divide mixed numbers. Get one correct.
 Multiply mixed numbers. Get at one correct.
Lesson 129
 Create the shape that gives you the perimeter and area shown. Make it half of each color, so that for every block of one color you put on, you put on one of the other.
 Drag and drop to make the shapes. Click Game and choose level 5.
 Find the equivalent fraction. Get four correct.
 Multiply. Get one correct.
Lesson 130
 Design a zoo. Click and drag (don’t let go until you’ve made a rectangle) to make the enclosure have the right area.
 Pour the drinks. Directions:
1. Read the client order.
2. Select the cup size. Select the soda type. Select the container. Repeat for each item.
3. When your order is complete, click Send.
4. Repeat with each new order.
5. If the client order is blank, click Send to get a new order.
6. Continue until the 5minute time limit is up.  Find the equivalent fraction. Get four correct.
 Divide. Get one correct.
Review
Lesson 131
 Do addition facts. Choose addition, level 1. How many can you get correct in 2 minutes?
 Choose addition. Get five correct on level 4.
 Reduce fractions. Get four correct.
Lesson 132
 Do subtraction facts. Choose subtraction, level 1. How many can you get correct in 2 minutes? Can you do more than before?
 Choose subtraction. Get five correct on level 4.
 Reduce fractions. Get four correct.
Lesson 133
 Do multiplication facts. Choose multiplication, level one. If it’s too easy, choose level two. How many can you get correct in 2 minutes?
 Choose multiplication. Get five correct on level 4.
 Divide mixed numbers. Get one correct.
 Multiply mixed numbers. Get at one correct.
Lesson 134
 Do division facts. Choose division, level 1. How many can you get correct in 2 minutes? Can you do more than before?
 Choose division. Get five correct on level 4.
 Find the equivalent fraction. Get four correct.
 Multiply. Get one correct.
Lesson 135
 Play with time a little. Skip the video but read and scroll down to complete the three activities.
 Label the times.
 Change the PM times to 24 hours by adding the 12 hours that has passed in the AM. 1PM is the 12 hours of the AM + 1 hour passed in the PM = 12 + 1 = 13:00.
 Label the clock with Roman numerals.
 Find the equivalent fraction. Get four correct.
 Divide. Get one correct.
Fractions
Lesson 136
 Play this factors game. Factors are the numbers that can be divided evenly into a number with no remainder. For example, you can divide 24 by 2 and 3 and 4 and 6 and 8 and 12. So that means that the numbers 2, 3, 4, 6, 8, 12 are all factors of 24. The numbers 5 and 7, for example, are NOT factors of 24 because you can’t divide 24 by 5 and get a whole number. You would get a decimal, or have a remainder.
 Thinking about what divides evenly into a number will help you simplify your fractions.
 Reduce fractions. Get four correct.
Lesson 137
 Read about simplifying fractions and answer the questions.
 Reduce fractions. Get four correct.
 Fraction workshop — Click on “add fractions with the same denominators.” Do 10.
Lesson 138
 Fraction workshop — Click on “subtract fractions with the same denominators.” Do 10.
 You need to simplify your answers. Do you remember what that means? It means to find the equivalent fraction that uses the lowest numbers. You do that by dividing the numerator and denominator (the top and bottom) by the same number. If the top and bottom numbers are both even, then you know you can divide them both by two to make them smaller.
 Divide mixed numbers. Get one correct.
 Multiply mixed numbers. Get at one correct.
Lesson 139
 Fraction workshop — Click on “subtract with mixed fractions and with like denominators.” Complete ten.
 Find the equivalent fraction. Get four correct.
 Multiply the decimal. Get one correct.
Lesson 140*
 *Print and complete this worksheet, adding three fractions. If it is an improper fraction (the top number is bigger than the bottom number), divide the fraction to make it a mixed number. Simplify the fraction by finding the equivalent fraction with the lowest numbers. Look at the answer to the first problem to see how to write the answer. (Answers)
 Find the equivalent fraction. Get four correct.
 Divide. Get one correct.
Lesson 141
 Watch a video to learn about finding the Common Denominator OR read about it.
 Watch a video to learn about finding the Least Common Denominator OR read about it (same link as in #1).
 NOTE: I couldn’t find a video or written lesson that did this in a smart way! I have no idea why they ALL teach it the same slow, burdensome way. Here’s the smart way to find the Least Common Denominator.
 Start with the largest denominator.
 Check and see if the other divides evenly into it.
 If not, double the larger denominator.
 Check again.
 If not, multiply the largest denominator by 3.
 Check if the smaller one divides evenly into it.
 When it divides evenly, that number you found with the larger denominator is your common denominator. Find the equivalent fraction of the smaller denominator by multiplying it by what it divided evenly by.
 Example: 1/4 + 5/12
 Does 4 divide evenly into 12. Yes, 4 x 3 is 12.
 Twelve is the least common denominator.
 4 x 3 and 1 x 3 will give us our equivalent fraction with a denominator of 12.
 Example: 2/5 + 1/6
 These numbers are close together. It’s probably smartest to just multiply them.
 5 x 6 = 30
 30 is our common denominator.
 Multiply 2/5 by 6/6 and 1/6 by 5/5.
 Example: 1/8 + 1/20
 Does 8 divide evenly into 20? No.
 Double 20.
 Does 8 divide evenly into 40? Yes. 8 x 5 = 40
 40 is our common denominator.
 8 x5 and 1 x 5 will give us our equivalent fraction with a denominator of 40.
 Solve questions 1 and 3. Start with the largest denoninator and check from there. You can do it!
 Reduce fractions. Get four correct.
Lesson 142
 Read about adding and subtracting fractions when the denominators are different. Make sure you keep going to the next page and do the practice problems.
 Reduce fractions. Get four correct.
Lesson 143
 Read about adding fractions when the denominators are different. Click on the animation. Answer the questions.
 Divide mixed numbers. Get one correct.
 Multiply mixed numbers. Get at one correct.
Lesson 144
 Read about subtracting fractions when the denominators are different. Answer the questions.
 Find the equivalent fraction. Get four correct.
 Multiply. Get one correct.
Lesson 145
 Round the numbers.
 Choose any 3digit category.
 Find the equivalent fraction. Get four correct.
 Divide. Get one correct.
Lesson 146
 Fraction workshop — Click on “add fractions.”
 Complete ten.
 Reduce fractions. Get four correct.
 Multiply. Get one correct.
Lesson 147
 Fraction workshop — Click on “subtract fractions.” Complete ten.
 Reduce fractions. Get four correct.
 Divide. Get one correct.
Lesson 148
 Fraction workshop — Click on “multiply fractions.” Complete 15.
 Find the equivalent fraction. Get four correct.
Lesson 149
 Fraction workshop — Click on “divide fractions.”
 Complete 15.
 Add fractions. Get one correct.
 Subtract fractions. Get one correct.
Lesson 150
Lesson 151*
 *Complete the two pages of review. (Answers)
 Reduce fractions. Get four correct.
 Multiply. Get one correct.
Lesson 152*
 *Complete the two pages of review. (Answers)
 Reduce fractions. Get four correct.
 Divide. Get one correct.
Lesson 153*
 *Complete the two pages of review. (Answers)
 Find the equivalent fraction. Get four correct.
Lesson 154*
 *Complete the two pages of review. (Answers)
 Add fractions. Get one correct.
 Subtract fractions. Get one correct.
Lesson 155
 Do you remember expanded notation?
 Play probability.
 Add fractions. Get one correct.
 Subtract fractions. Get one correct.
Order of Operations
Lesson 156
 Do addition facts. Choose addition, level 1. How many can you get correct in 2 minutes? Can you do more than before?
 Read about the order of operations and answer the questions.
 Reduce fractions. Get four correct.
 Multiply. Get one correct.
Lesson 157
 Do subtraction facts. Choose subtraction, level 1. How many can you get correct in 2 minutes? Can you do more than before?
 Watch the order of operation video.
 Use order of operations to save the day.
 Scroll down and click on a character.
 Click on the two numbers and the operation that you should solve first.
 Reduce fractions. Get four correct.
 Divide. Get one correct.
Lesson 158
 Do multiplication facts. Choose multiplication, level 1. If it’s too easy, choose level 2. How many can you get correct in 2 minutes?
 Save the day! Make sure you read the instructions. (If you can’t see the game, after you read the instructions, try this link.)
 Find the equivalent fraction. Get four correct.
Lesson 159
 Do division facts. Choose division, level 1. How many can you get correct in 2 minutes? Can you do more than before?
 Add and subtract fractions. Add and then subtract. You can use unlike denominators.
Lesson 160
 Convert fractions, decimals and percents.
 Add fractions. Get one correct.
 Subtract fractions. Get one correct.
Coordinate Plane
Lesson 161
 Choose addition. Get five correct on level 4.
 Learn about the coordinate plane.
 Reduce fractions. Get four correct.
Lesson 162
 Choose subtraction. Get five correct on level 4.
 Find the house. Click on Guess Mode so that you can check your answer. Type in the coordinates of the house.
 Reduce fractions. Get four correct.
Lesson 163
 Choose multiplication. Get five correct on level 4.
 Get to the target without hitting the mines. You will have to enter coordinates a few times to get there. What’s your first move?
 Convert the improper numbers into mixed numbers. Get two correct.
 Convert the mixed numbers into the improper fractions. Get two correct.
Lesson 164
 Choose division. Get five correct on level 4.
 Can you do it with negative numbers? Read the labels. Whack a mole.
 Divide mixed numbers. Get one correct.
 Multiply mixed numbers. Get at one correct.
Lesson 165
 Stock the shelves.
 Write the numbers. How well can you spell?
 Find the equivalent fraction. Get four correct.
Probability
Lesson 166
 Mental math
 Check your answers.
 Read about probability. Skip the video at the top and answer the three questions by clicking on the three pictures under the reading. The darker portions will block the putt from going through. The light areas will allow the ball to go through. There are 6 spaces on the windmill. A one out of six chance would be one light out of the six triangles. A one out of two chance would be one light for every two triangles.
 Reduce fractions. Get four correct.
 Multiply. Get one correct.
Lesson 167
 Mental math
 Check your answers.
 Probability spinner – Change the spinner to four sectors (under “spinner”). Watch the percentages change as you change the sectors. That’s the probability that the spinner will land on that color.
 Learn about probability as a fraction. Do the Step by Step, Vocabulary terms, and Test.
 Reduce fractions. Get four correct.
 Divide. Get one correct.
Lesson 168
 Mental math
 Check your answers.
 Learn about finding probability. Do the Step by Step, Vocabulary terms, and Test.
 Find the equivalent fraction. Get four correct.
Lesson 169
 Mental math
 Check your answers.
 Learn about a tool to help you guess an outcome. Do the Step by Step, Vocabulary terms, and Test.
 Add fractions. Get one correct.
 Subtract fractions. Get one correct.
Lesson 170
 Mental math
 Check your answers.
 Learn about making predictions. Do the Video, Vocabulary terms, and Test.
Measurement
Lesson 171
 Mental math
 Check your answers.
 Learn about different units of measurement. Do the Video, Vocabulary terms, and Test.
 Reduce fractions. Get four correct.
 Multiply. Get one correct.
Lesson 172
 Mental math
 Check your answers.
 Learn about customary units of length. Do the Step by Step, Vocabulary terms, and Test.
 Divide mixed numbers. Get one correct.
 Multiply mixed numbers. Get at one correct.
Lesson 173
 Mental math
 Check your answers.
 Learn about tools of measurement. Do the Video, Karaoke, Vocabulary, and Test.
 Find the equivalent fraction. Get four correct.
Lesson 174
 Mental math
 Check your answers.
 Learn about measuring length. Do the Step by Step, Karaoke, Vocabulary, and Test.
 Add fractions. Get one correct.
 Subtract fractions. Get one correct.
Lesson 175
 Mental math
 Check your answers.
 Learn about finding volume. Do the Video, Karaoke, Vocabulary, and Test.
 Add fractions. Get one correct.
 Subtract fractions. Get one correct.
Lesson 176
 Learn about telling temperature. Do the Step by Step, Karaoke, Vocabulary, and Test.
Time
Lesson 177
 Learn about telling time. Do the Step by Step, Karaoke, Vocabulary, and Test.
Lesson 178
 Convert units of time. Do the Step by Step and the Test.
Lesson 179
 Practice with elapsed time. Do the Step by Step, Vocabulary, and Test.
Lesson 180
Congratulations on finishing fourth level math!
Donate/Say Thanks
SUMMER SCHOOL – Make sure you know those facts! Use flashcards, our facts practice workbooks, our online facts practice page, and programs like xtramath.
You might want to consider beginning Math 5/6Math 5/6 now. Take a look at the course. It begins with review which would work over the summer. 🙂 Just take it slowly.