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Course Description: Students will expand their understanding of graphing, measurement, fractions, geometry, place value, time, and money. Students will be introduced to adding and subtracting large numbers, rounding and estimation, finding the perimeter, decimals, multiplication, and division. Students will practice their skills and new math vocabulary using worksheets as well as online games, quizzes, and activities.
Books to Work Offline:
If you want to work offline, please click here to order our offline books.
You’ll want the Workbook and Parent Guide to go completely offline.
Online course:
Printables for the year
Answer Key for the Printables for the online course
Review
Lesson 1
DO NOT begin this course. This course has been replaced and will be eventually removed. Please use the NEW VERSION.
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. Go to the top of the course page for book links.
Please decide about buying books or printing out the worksheet packets for the year. You’ll want those worksheets available when they come up in the curriculum. Scroll up above Lesson 1 to see the book options.
Students:
 Find the numbers and shoot off the fireworks. Choose 1100. (Turn off your ad blocker.)

 If you are using a mobile device, this activity will send you to their paid app. Set your browser to Desktop to try to bypass that. Directions here.

 Go on a math journey.
 Watch the shape song. Draw each shape it sings about.
 You don’t need a worksheet for today, but you should decide if you want to print out the worksheets for the year (over 100 pages) or buy them as a printable book. The PDF to print will be linked on each day there is a worksheet to print.
 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
 Add. Click on the answer to whatever number it shows you.
 Play shark numbers. Count the tens and then count the ones and click on the number.
 Play tangrams. Move and turn the shapes to get them to fill in the shape. This is tricky too.
Lesson 3
 Buy the item with the exact amount.
 Measure with a ruler. Choose level 1.
 Tell time. If you want, you can choose another mode and choose a different time setting.
Lesson 4* (*Means there’s a worksheet to use today.)
 *Use the tally mark chart to answer the questions. Check your answers.
 Make the numbers using stacks of tens and blocks of ones. Use tens and ones to make numbers. Make 13, 25, 61, and any other twodigit number. This activity is on ABCya. It is free access on laptop/desktop. Mobile devices will ask you for a subscription account.
 Take the test. This will only let you do a certain number of problems before asking about an account. You do not need to make an account. Just stop once it asks you about an account.
Lesson 5*
 *Label the even numbers based on the numbers already on the line. Use the numbers that are there to figure out the missing numbers in the pattern. Check your answers.
 Make numbers. Drag one of those big squares of blocks onto the work mat. What number does it say? 100! There are 100 blocks in that square. It’s 10 stacks of 10 blocks all put together. Make the numbers: 142 and 375. Now you are using hundreds, tens and ones.
 Make numbers. You are using hundreds, tens and ones. Make a big number. Do you see the hundreds, tens and ones? Click on the button to see them all put together. Click on “new” and make another big number.
Lesson 6*
xtramath — If you haven’t yet, go to this site every day until you know all of your addition and subtraction facts fast! Stop when you get to multiplication. (Parents: You’ll need to sign up for a free account if you haven’t used xtramath before. Click “home” at the top of the screen and then “create account” at the top or “sign up” on the right. 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.)
 *What numbers come before and after? Which number is the hundreds? Check your answers.
 Click to play “10 more”. It will tell you a number. Add 10. Remember how? Add 1 to the tens place. It’s easy on the chart. Just look down one row because each row has ten numbers. When you find the right answer, click on “next” to get your next number to find. When this is easy for you, go on to number three (below).
 Play again. This time click “11 more“. That’s adding 10 and adding 1. Now you will add 1 to the tens and 1 to the ones. What happens when you add 1 to 9? Do you remember? It’s easy on the chart. Just move down one row to add 10 and over one spot to add 1.
Lesson 7*
 *Count by tens. Add on ten at a time and fill in the blanks. Answer the addition questions. Add by 10s. Check your answers.
 Can you do it? You can try this game to make sure you are doing it right. Choose 10 more. You just jump up one row to add ten. You can use the chart to check your answers.
Lesson 8*
 If you need a reminder on how to do this, you can watch this presentation before you practice.
 When the ones add up to ten, you make them into a group of ten and add them to the tens.
 *You can do your worksheet for Lesson 8. Remember, if there is no number in the tens place, that’s just zero. You don’t have to add anything to the other tens. Check your answers.
Lesson 9*
 If you need a reminder on how to do this, you can watch this presentation before you practice.
 *Then you can do your Lesson 9 worksheet. Check your answers.
Lesson 10*
 *Answer the addition word problems on the Lesson 10 worksheet. Check your answers.
Lesson 11*
 Now let’s subtract.
 *Complete the Lesson 11 worksheet. Check your answers.
 If you can’t remember how to do this, you can watch this presentation.
Lesson 12*
 *Print and complete the Lesson 12 worksheet. Check your answers.
 If you want a reminder of how to do it, you can watch this presentation.
Subtraction with Regrouping
Lesson 14*
 How do you subtract 34 7? You can’t take 7 ones away from 4 ones. Watch this presentation to learn how to do it.
 *Complete this worksheet. Check your answers.
Lesson 15*
 Watch the video on subtraction with borrowing.
 *Then complete this worksheet. Check your answers.
Lesson 16*
 Watch the video on subtraction with borrowing.
 *Then complete this worksheet. Check your answers.
Lesson 17*
 Watch the video on subtraction with borrowing (or regrouping)
 * Complete the subtraction word problems. Check your answers.
Lesson 18*
 *Complete the word problem worksheet. Some are addition and some are subtraction. Check your answers.
Lesson 19*
 *Complete the word problem worksheet. Some are addition and some are subtraction. Check your answers.
Lesson 20
 Do both addition and subtraction level 2. Do each until you get confetti at least twice.
 Here’s a picture of a million pennies.
 Here are 1 million dollars in pennies. The number of pennies is one million times 100 since there are 100 pennies in every dollar. That’s the number 1,000,000 (one million) with two more zeros. Can you write that?
Money
Lesson 21*
 Play level 1 Beginner and then play Expert. This activity is on ABCya. It is free access on laptop/desktop. Mobile devices will ask you for a subscription account.
 Expert means using as few coins as possible. Start with the largest coin. Can you use it without having too much? Once you have as many as you can use, go to the next largest coin.
 *Complete the worksheet for today to keep your skills sharp. Check your answers.
Lesson 22*
 *Complete the Counting Coins and Money Word Problems worksheet. Check your answers.
Lesson 23*
Lesson 24*
 Play Count the Money. Drag the puzzle piece (the picture portion) onto the answer.
 *Complete the worksheet. Check the answers.
Lesson 25*
Lesson 27*
 Play Cash Out. Click on NO for Show Change Amount.
 It will tell you how much the customer spent and how much money they gave you. It is the easy level, so they will give you $1.00.
 How do you know how much change to give?
 Count on from how much they spent.
 If they spent 63 cents, $0.63, then you would click on the penny to put two pennies on the counter and count 64, 65. Then you could put a dime on the counter and count 75. Then you could put a quarter on the counter and count 100 or $1.00.
 Check your amount by counting on from how much they spent. You can click on a coin to take it off the counter.
 Give the change when you are ready.
 *Complete the worksheet. Check your answers.
Lesson 28*
 How many cents are in a dollar? (answer: 100)
 You are going to complete a worksheet, but before you start, I want you to look at the first problem. You are going to subtract 20 from 100. We’re going to do it together.
 First you’ll subtract the ones straight down. Zero minus zero is zero. You can write zero in the answer spot under the zeros in the ones column.
 What’s left? Draw a box around the 10 left in 100.
 Now you have ten minus two left. You know the answer to that. What’s ten minus two? (answer: 8)
 Write 8 in the tens spot in the answer.
 What’s the answer to 100 – 20? (answer: 80)
 *Complete the worksheet. Each time draw a box around the ten in the problem. When you need to borrow more ones in order to subtract, you can cross off the ten and make it a nine. Then like normal you take those ten and move them into the ones column. Check your answers.
 Now you have ten minus two left. You know the answer to that. What’s ten minus two? (answer: 8)
Lesson 29*
 *Use your worksheet and subtract the money, like you are making change. (You can ignore the decimal points. For example, the first one is 65 cents minus 21 cents. 65 – 21 = 44. That’s 44 cents. You write that as $0.44 . For all of your answers you will write $0. and then the answer to your subtraction problem. I already gave you the first answer, so you are already on your way!
 Check your answers when you are done.
Rounding/Estimation
Lesson 31*
 Estimating means making a good guess as to what the answer is.
 Rounding is one trick we use to figure out what a good guess would be.
 Use estimation to make a good guess as to which box has more.
 *Use this worksheet to compare. Check your answers.
Lesson 32*
 Watch this video on rounding.
 Here are some examples of rounding to the nearest ten:
 13 –> the number on the right is four or less, so the number on the left stays the same
 10 is the nearest ten
 Look at it on the number line. Click on “done” to close the box. Find 13. Is it closer to 10 or 20? That’s what rounding is. Which number is closer? If it is right in the middle, we round up to the higher number.
 27 –> The number on the right is 5 or more, so the number on the left moves up one.
 30 is the nearest ten
 Look at it on the number line. Click on “done” to close the box. Find 27. Is it closer to 20 or 30?
 2 –> Is it closer to 0 or 10?
 Try rounding to the nearest ten.
 *Use the menu to answer the questions. Check your answers.
Lesson 33*
 Scroll down and click on “start.” Round to the nearest ten.
 *Keep your skills sharp with this worksheet. Check your answers.
Lesson 34*
 When you round to the nearest hundred, you do the same thing as with tens.
 Here are some examples:
 461 –> We are rounding to the nearest hundred. Which number is in the hundreds spot? (answer: 4)
 461 –> When we round this to the nearest hundred, we are asking, “Which is it closer to, 400 or 500?”
 We need to look at the number immediately to the right. Which number is to the right of 4? (answer: 6)
 Is six, 5 or more? (answer: yes)
 Then we need to change the number on the left to one more. The 4 becomes a 5.
 461 –> 500 Which is 461 closer to, 400 or 500?
 Watch this video, just for the first 32 seconds.
 Round to the nearest hundred.
 *Complete the worksheet. Check your answers.
Lesson 35
 Round to the nearest 10 with numbers with three digits.
 You just need to look at the ones and tens places. 419 rounds to 420 when you are rounding to the nearest ten. Give it a try.
Time
Lesson 36
 Do this lesson on telling time.
 Set the clocks.
 Remember: the hour is the number the hand has already passed.
Lesson 37*
Lesson 38*
Lesson 39*
 There are other ways to say time.
 We can say “five minutes after six.” What time do you think that would be? (answer 6:05)
 How about “half past four.” What time is that? What is half way around the clock? (answer 4:30)
 Can you guess what “quarter past three” would be? What is a quarter of the way around the clock? Divide the clock into four pieces. (answer 3:15)
 What time is it?
 *Complete the worksheet. Check your answers.
Lesson 40*
 Choose a level 2 game.
 We can also say how many minutes there are until the next hour. We say it like this: “Five to eight.” That means it is five minutes until eight.
 Make this clock say “five minutes to eight.” (Click on the menu lines on the left, then select the bottom box to display the digital time.) When you have found the right place, the clock will say 7:55.
 Remember: the hour is not eight yet. It’s still five minutes before the hour hand will reach the eight.
 Do you see that there are just five minutes until eight o’clock?
 When we talk about time until the hour, we count by fives backwards. At the 11 there are just five minutes until the hour. At the 10 there are ten minutes until the hour.
 Make the clock say “ten minutes to nine.” What does the digital clock say? (answer 8:50)
 Remember: It’s not nine o’clock yet. There are still ten minutes before the hour hand reaches the nine.
 If you got it wrong, fix the clock hands.
 Make the clock say “twenty minutes until ten.” Count by fives backwards. The 11 is five, the 10 is ten, the 9 is 15… What does the digital clock say when you make the hands say “twenty minutes to ten?” (answer 9:40)
 If you got it wrong, fix the clock hands.
 What do you think the clock would look like at “quarter to three?” (answer 2:45)
 *Print out the time and word cards from the worksheet. Cut them into rectangles. Place them face down. Find the matches.
 What’s another way to say, “15 minutes to 8?” (answer: quarter to eight)
Lesson 41*
 Match the phrases.
 *Complete the worksheet on adding with regrouping. Work neatly and give this to a parent when you are finished to add to your portfolio. Check your answers.
Lesson 42*
 We count by fives around the numbers on the clock because each little line is 1. Look at the little lines on this clock. They are blue blocks really. There are four and then when you count five you are at the big number.
 Count the minutes around the clock. You should count 60.
 What level can you do? Start at an early level and keep moving up.
 Set the clocks.
 *Complete the worksheet on subtracting with regrouping. Check your answers.
Lesson 44*
 Try Phrase Matching Digital and To 5 minutes.
 *Complete the subtraction worksheet. Check your answers.
Lesson 45*
 Match the times.
 *Complete this Venn Diagram worksheet. A Venn Diagram shows where something belongs. If it matches the criteria of the oval, then it is inside of it. If it is in two ovals, then it meets the criteria of both. If it’s outside of both ovals, then it doesn’t meet the criteria of either of them. Check the answers.
Thousands
Lesson 46
 Read this page about numbers to 1000.
 Now try it! Click on level 3 and compare the numbers.
 Do this adding and subtracting to 20 activity.
Lesson 47
 Make numbers. Now you are using thousands, hundreds, tens and ones. Make a big number. Do you see the thousands, hundreds, tens and ones? Do you see them all put together? Make different numbers.
 Play a level 2 game.
Lesson 49
 Watch this addition video on adding hundreds (but you don’t have to try them on your own) or listen to a song about how to do it.
 Add hundreds. Add 250 and 345. Make the first number and then click on the plus sign to add on the ones, tens, and hundreds of the second number. What’s the answer? Write the problem out on paper.
 Now add 361 and 297. What happens when you add the 9 to the 6 in the tens column? Write the problem out on paper.
 Try it again with 168 and 455.
 One more time. This time add 786 and 329.
Lesson 50*
xtramath — This is just for addition and subtraction. Stop when you get to multiplication.
 *Complete the worksheet on adding hundreds. Cut out the blocks on pages 2 and 3 and use them to find the answers to the problems on page 1.
 Make sure you check your answers and understand your mistakes.
 I’m going to tell you two of the answers.
 Build the problems with the pieces. (The big cubes are 1000 blocks put together.)
 875
 + 314
 1189
 ones… 5 + 4 = 9
 tens… 7 + 1 = 8
 hundreds… 8 + 3 = 11 That’s 1 in the hundreds spot and 1 in the thousands spot.
 thousands… There are no other thousands to add, so there is only 1 thousand.
 976
 + 122
 1098
 ones… 6 + 2 = 8
 tens… 7 + 2 = 9
 hundreds… 9+1 = 10 That’s 0 in the hundreds spot. Carry the one to the thousands.
 thousands… 0+0+1 = 1 There were no thousands in either number and then the one we carried over.
Rounding/Estimation
Lesson 51*
 Round to the nearest ten.
 *Complete this worksheet on adding hundreds.
 Check your answers. Redo any problem you got wrong.
Lesson 52*
 Round to the nearest hundred. You always need to pay attention to what you are supposed to round to.
 *Complete the worksheet. Check your answers and redo anything you got wrong. Make sure you understand. These worksheets are a lot easier if you know all of your math facts!
Lesson 53*
 Watch this presentation on estimating sums with rounding. At any time, you can pause it or go back.
 *Follow the directions to add and estimate.
 Check your answers. Make sure you understand your mistakes.
Lesson 54*
 Watch this presentation on estimating differences with rounding.
 *Subtract and estimate.
 Check your answers. Make sure you understand your mistakes.
Review/Practice
Lesson 56*
 Play trimathalon. The faster you answer, the better medal you’ll receive. Remember: if a problem says 17 – 11, don’t flip out! You can do it, easy. Subtract the ones. 71=6. Subtract the tens, 11=0. Your answer is 6.
 *Add and estimate.
 Check your answers. Make sure you understand your mistakes.
Lesson 57*
 Which amount of money is more or less? Make sure to read the question!
 *Subtract and estimate.
 Check your answers. Make sure you understand your mistakes.
Lesson 58*
 What time is it?
 *Add and estimate.
 Check your answers. Make sure you understand your mistakes.
Lesson 59*
 Add. Choose Addition and level 2. Play until you see confetti at least twice.
 *Subtract and estimate.
 Check your answers. Make sure you understand your mistakes.
Lesson 60
Subtracting Hundreds
Lesson 61
 Watch this video on subtracting hundreds.
 Do five subtraction problems with hundreds.
 Write down the problem.
 Do the problem and find the answer.
 Use the abacus to check the answer. Use the minus sign to subtract off the number of ones, tens, and hundreds.
 543221, 415120, 627188, 408312, 10047
Lesson 62*
 *Complete this subtraction worksheet.
 Check your answers.
 Fix your mistakes. Make sure you understand what you got wrong.
Lesson 63*
 *Complete this subtraction worksheet.
 Check your answers.
 Fix your mistakes. Make sure you understand what you got wrong.
Lesson 64*
 *Complete this subtraction worksheet.
 Check your answers.
 Fix your mistakes. Make sure you understand what you got wrong.
Lesson 65
 Find the pattern.
 Add ones, tens, or hundreds. After three balloons rise, click anywhere on the screen to get the next round.
 Who won? Be sure to read the introduction and the questions carefully! It may be helpful to write the numbers on pieces of papers so you can rearrange the numbers until you figure it out. (answers: Vincent, Ali, Rohan, and neitherboth numbers are 13 away from 5000)
Rounding/Estimation with Hundreds
Lesson 66
 Watch this video again, just for the first 32 seconds.
 Round to the nearest hundred.
 Round to the nearest hundred.
 Round 467 and 720 to the nearest hundred. (answer: 500 and 700)
 Add them. (answer: 5 hundred + 7 hundred = 12 hundred, 500 + 700 = 1200)
 Round 820 and 389 to the nearest hundred. (answer: 800 and 400)
 Subtract them. (answer: 8 hundred – 4 hundred = 4 hundred, 800 – 400 = 400)
 Write these two problems. Solve them normally to find the exact answer. Then round to find the estimated answer.
 358 + 802 =
 634 – 379 =
 (answers: 1160, 255, 1200, 200)
Lesson 68*
 *Subtract and estimate.
 Check your answers. Make sure you understand your mistakes.
Lesson 70*
 *Subtract and estimate.
 Check your answers. Make sure you understand your mistakes.
Geometry
Lesson 71
 Read this lesson on polygons.
 What is a polygon? (answer: a closed shape with straight sides and angles)
 Draw four different types of polygons. Write how many sides and how many angles each has. (hint: Sides and angles are the same number.)
Lesson 72
 Read this lesson on congruent shapes. Answer the questions.
 Read this lesson on symmetry. Answer the questions.
Lesson 73
 Read this lesson congruent polygons.
 Do this symmetry activity. Where the picture ends is the line of symmetry. Click on one of the aliens moving across the screen. Build the other half of the shape so that the shape is symmetric.
Lesson 74
Lesson 75
xtramath — This is just for addition and subtraction. Stop at multiplication.
 Read this lesson on perimeter and answer the questions.
 Can you match the geometry vocabulary with their meanings?
Rounding and Estimation with Thousands
Lesson 76
 Make numbers. Select the middle option under “numbers” (Th H T U). Make the number shown at the top of the page by selecting the correct number of thousands, hundreds, tens and units
 Watch this presentation on rounding with numbers in the thousands.
 Do this shapes activity.
Lesson 77
 Now round to the nearest hundred with the sharks.
 Round to the nearest ten.
 Play a level 2 subtraction game.
Lesson 78
 Now try estimation. Round and then estimate the sum. To estimate means to make an educated guess. Rounding gives you the knowledge to make a good guess that is close to the actual answer.
 Example: 7713 + 5330 > 7 becomes 8, but 5 stays the same
 8 thousand + 5 thousand = 13 thousand =13,000
 Play a level 2 addition game.
Lesson 79
 Estimate by rounding the nearest ten and then adding.
 Play a level 2 subtraction game.
Lesson 80
 Play Putt level. Then play Junior level.
 Do this activity, adding and subtracting to 20.
Estimating Sums and Differences with Thousands
Lesson 82*
 *Subtract and estimate.
 Work neatly and give this to a parent when you are finished to add to your portfolio.
 Check your answers. Fix any mistakes.
Elapsed Time
Lesson 86
 Elapsed time is how much time has passed. From the time my 1 year old wakes up in the morning at 8:30 to the time he takes his nap at 1:00, 4 and a half hours have elapsed, or gone by.
 8:309:30 is one hour.
 9:3010:30 is one hour. (That’s 2 hours all together.)
 10:3011:30 is one hour. (That’s 3 hours.)
 11:3012:30 is one hour. (That’s 4 hours.)
 12:301:00 is half an hour. (That’s 4 and a half hours.)
 Make the correct amount of time pass, or elapse.
 Try “to the hour” and “to the halfhour“.
 Practice your math facts with Figure It. Choose an operation (addition or subtraction). Start with Level 1. Once you get confetti, you can move to the next level. Play at least 3 levels.
Lesson 87
 How much time has elapsed, gone by?
 Click on subtraction. Choose level 3. Can you play until you see confetti three times? The confetti flies faster each time!
Lesson 88
 Play an elapsed time game. Figure out the new time and shoot it. Read the directions before you start or you won’t know how to shoot!
 Add. Choose Addition and level 3. Play until you see confetti at least twice.
Lesson 89*
 *Complete this worksheet. Find the elapsed time. Count by fives around the clock and pay attention to how much the hour hand moved. Check your answers.
 Subtract as many numbers as you can in two minutes. Use the tab button to move to the next question.
Lesson 90
 Read the charts to answer the time questions.
 Add three addends to find matches. For example: 3 + 2 +4 = 9
 Do all the word problems.
Lesson 91
 Review fractions.
 Click on addition. Choose level 3. Can you play until you see confetti three times?
 A note for those starting midyear
 xtramath — If you haven’t yet, go to this site every day until you know all of your addition and subtraction facts fast! Stop when you get to multiplication. (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.)
Lesson 94
 Make fractions.
 The pictures show the fraction.
 Create a fraction on the left. Change the denominator and the numerator.
 Choose a multiplier in the middle.
 The number of pieces on the bottom of the new fraction on the right is the denominator.
 The number of red pieces on the top of the new fraction is the numerator.
 The two fractions are equivalent. If those were pizza slices, and you ate either amount shown by the fractions, you would be eating the same amount of pizza. The one number is more pieces, but the pieces are smaller.
 Do it again a few times. Can you figure out where the numbers in the new fraction are coming from?
 Do the subtraction problems.
Lesson 97
 Find equivalent fractions, fractions that are the same amount.
 The picture shows the fraction.
 Click the arrows to add parts and to change the number colored in.
 Click the multiplier to change the bar graph.
 The number on the bottom is the denominator.
 The number on the top of the new fraction is the numerator.
 The two fractions are equivalent. If those were both pizza slices, and you ate either amount shown by the fractions, you would be eating the same amount of pizza. The one on the right is more pieces, but the pieces are smaller.
 Subtract at least five problems.
Lesson 98
 Try to find the equivalent fractions. Drag the picture from the top onto the match on the bottom. They are just being introduced to equivalent fractions. They aren’t supposed to be figuring them out. They are to use the images to image how much of the whole the fraction represents.
 First, count the pieces in an image in the top. That’s the denominator. Then, count the pieces that are colored in. That’s the numerator. Find that fraction in the bottom.
 Do that for all the images on top. Then work on the fractions as described below.
 I held up fingers for the number in the denominator. Then I bent down fingers leaving the number in the numerator. Is it most of them? Not very many of them? If it is most of them, then most of the picture would be colored in.
 Add hundreds. Choose addition and level 4. You can stop after you see confetti twice.
Lesson 99
 Find the equivalent fractions. Choose numbers and charts. It will show you a fraction and its picture at the bottom. Look for a picture that matches. There may be two very similar. This is showing you how fractions with different numbers can equal the same amount as the picture shows. There are just different numbers of parts.
 This is on ABCya. If you are on a mobile device, it will want you to make an account. If you have a computer, this game is best played there.
 Subtract at least five problems.
Lesson 100
xtramath I am hoping that you are finishing up with addition and subtraction.
 Play the math vocab game.
 Make a find the symmetrical patterns.
 It’s the hundredth day of school!
Lesson 101
 Compare fractions. Which one is bigger? Which is smaller? The fractions have the same denominator, the same number of total pieces. Which fraction has more of those pieces?
 Choose level 9.
 Add double digits. Choose addition and level 3.
Lesson 102
 Compare the fractions. This time the fractions have the same numerator. Which is going to be bigger? Is one out of two pieces bigger or smaller than one out of ten pieces? Think of a pizza cut in two or cut into ten slices. Which individual slice is going to be bigger?
 Choose level 8.
 Subtract double digits. Choose subtraction and level 3.
Lesson 104
 Compare the fractions. Choose level 9.
 The bottom numbers (denominators) are the same. Which fraction is smaller then?
 It’s the one with the smallest number on top. (The top number is called the numerator).
 The bottom numbers (denominators) are the same. Which fraction is smaller then?
 Take some shots. There’s a button to click on if you are using a tablet.
 Then try these rounding problems.
Lesson 105
 Play estimation golf. Play all three levels. On the pro level, it may give you a multiplication problem. You can just type in any crazy answer for those. 🙂 I want you to keep playing to practice the four digit addition and subtraction estimation problems.
Lesson 106
 Click on Play Video.
 You don’t need to know the names of all of those properties, but it’s good to know these things. Read below.
 Multiplication is adding over and over again. 5 times 2 is 5 + 5, 5 times 3 is 5 + 5 + 5, 5 times 4 is 5 + 5 + 5 + 5. That’s like counting by fives 4 times.
 If I put five books on each shelf and there were four shelves, I would have 5 + 5 + 5 + 5 books. 5 x 4 = 20
 Anything zero times is zero. A million times zero is zero. If I gave you a million dollars zero times, you would have zero dollars.
 Anything one time is itself. 8 times 1 is 8. If I give you eight pieces of candy one time, you would have eight pieces of candy.
 3 times 2 is the same as 2 times 3 (just like addition). If I gave you 3 M&Ms two times, you would have 6. If I gave you 2 M&Ms three times, you would have 6. If you don’t believe me, go ask for some chocolate chips to practice with. Give 3 two times and 2 three times and see if it’s the same amount. 2 x 3 = 3 x 2 = 6
 Learn that any number times zero is zero.
 Learn that any number times one is itself.
 These multiplication.com links have games for each lesson. There are tabs above the lesson area that you can use to learn more or practice.
Lesson 107*
xtramath This is only if you still need it for addition and subtraction.
 *Complete the multiplication worksheet. You will make little pictures of the problem. Check your answers.
 Learn a fact. two times two equals four In fact, any number times two is just that number doubled. 3 x 2 = 3 + 3 = 6
 Do numbers 1 and 3 along the top, “learn with pictures” and “understand the basics.” If you want to do more, you can use the other tabs too.
Lesson 108*
xtramath – only for addition and subtraction
 Learn a fact. 2 x 3 = 6. Do numbers 1 and 3 along the top, “learn with pictures” and “understand the basics.”
 Watch this video about multiplying by 6, “I Got Six.”
 Draw a picture of the 3 groups of 6 balloons. How many balloons? Write 3 x 6 = the answer on your paper.
 Do another picture of six cartons of six eggs in each carton. Write the equation with the answer on the paper.
 *Complete the multiplication tricks worksheet. Check your answers.
Lesson 109*
xtramath – I’m not going to keep writing it each day, but this is just for addition and subtraction if you still need it.
 Learn a fact. 2 x 4 = 8. Do numbers 1 and 3 along the top, “learn with pictures” and “understand the basics.”
 *Do this multiplication worksheet. Circle each group of little stars. Use those pictures of groups to find the answers. Check your answers.
 Do the money game. Choose all of the coins and then hit start.
Lesson 110*
 Learn a fact. 2 x 5 = 10. Do numbers 1 and 3 along the top, “learn with pictures” and “understand the basics.”
 Then take the quick quiz.
 *Do this Multiplying by 5 worksheet. Check your answers.
 How much time has elapsed?
Lesson 111*
 Learn a fact. 2 x 6 = 12. Do numbers 1 and 3 along the top, “learn with pictures” and “understand the basics.”
 *Do some cake baking! You’ll need scissors and tape or glue.
Lesson 112*
 Learn a fact. 2 x 7 = 14. Do numbers 1 and 3 along the top, “learn with pictures” and “understand the basics.”
 *Eat some cake.
Lesson 113*
 Learn a fact. 2 x 8 = 16. Do numbers 1 and 3 along the top, “learn with pictures” and “understand the basics.”
 Play a game to review. Remember: multiplying by two is just doubling the number. 4 times 2 is the same as 4 plus 4.
 Watch this video on dividing into groups.
 *Divide by 2. Check your answers.
Lesson 114*
 Learn a fact. 2 x 9 = 18. Do numbers 1 and 3 along the top, “learn with pictures” and “understand the basics.”
 When we multiplied, we took the groups and added them all together. Now, to divide, we do the opposite. Multiplication and division are opposites, like addition and subtraction are opposites. We are going to take the total and divide it into groups.
 If I had 4 pieces of paper and I wanted them in 1 group, 1 pile, how many pieces of paper would be in that group? Four. If you don’t believe me, take four pieces of paper and put them in one pile, one group. There are 4.
 4 divided by 1 = 4
 If you had 0 pieces of candy and put that candy into 5 groups, how much candy would be in each group? ZERO! There is no candy.
 *Complete the worksheet on dividing with 0 and 1. Check your answers.
 Find the perimeter. The perimeter is the measure around. If a side doesn’t have a length written on it, then it’s the same as all the others or the same as its opposite side.
Lesson 115
 Do the quick quiz. Whatever you got wrong, go find the right answer by clicking on the problem. If you didn’t get any wrong, go and get a high five and/or a hug.
 Subtract double digits.
 Look at the line on each letter and determine if it is a line of symmetry. If you folded the shape along the line, would the two halves line up exactly?
Decimals
Lesson 116
 Learn a fact. 3 x 3 = 9. Do numbers 1, 3 and 4 along the top, “learn with pictures,” “understand the basics,” and “play a game.”
 Did you notice that I want you to play the game?
 Division is the opposite. Nine divided by three is three.
 Our next lesson is on decimals. It’s a way of writing numbers. You’ve seen decimals before. $4.25 is 4 dollars and 25 cents. That dot is called a decimal point. It tells us that the number that comes after it are parts of 1. It’s not 425 dollars. There are only 4 dollars. Then there are 25 parts of a dollar. How many cents are in a dollar? (answer: 100) The decimal point tells us that 25 means cents, or parts of a dollar.
 Watch this video on decimals tenths and this one on money as decimals.
Lesson 117
 Learn a fact. 3 x 4 = 12. Do numbers 1, 3 and 4 along the top, “learn with pictures,” “understand the basics,” and “play a game.”
 Twelve divided by four is three and twelve divided by three is four. If you know your multiplication facts, you know your division facts. You just need to practice to get fast at them. Don’t give up on xtramath. Math gets easier once you know the answers!
 What decimal is shown? How many blocks out of 100?
Lesson 118*
 Learn a fact. 3 x 5 = 15. Do numbers 1, 3 and 4 along the top, “learn with pictures,” “understand the basics,” and “play a game.”
 Fifteen divided by five is three. Fifteen divided by three is five.
 *Write money as decimals. You will write a dollar sign, then the number of dollars, then a decimal point, then the number of cents. Check your answers.
Lesson 119*
 Learn a fact. 3 x 6 = 18. Do numbers 1, 3 and 4 along the top, “learn with pictures,” “understand the basics,” and “play a game.”
 Eighteen divided by six is three. Eighteen divided by three is six.
 *Add the decimals. Read the directions! Look at the example! Check your answers.
Lesson 120*
 Practice a fact. Do numbers 2 and 5 along the top, “Review to Remember,” “Take a Quiz.”
 *Subtract decimals. Read the directions!
 Check your answers.
Lesson 121
 Learn a fact. 3 x 7 = 21. Do numbers 1, 3 and 4 along the top, “learn with pictures,” “understand the basics,” and “play a game.”
 Twentyone divided by seven is three. Twentyone divided by three is seven.
 Do this lesson on adding money as decimals.
 Compare fractions. Choose level 8. The numerators on top are always the same. Which slice is bigger?
Lesson 122*
 Learn a fact. 3 x 8 = 24. Do numbers 1, 3 and 4 along the top, “learn with pictures,” “understand the basics,” and “play a game.”
 Twentyfour divided by eight is three. Twentyfour divided by three is eight.
 *Add up your money by adding decimals. Adding money is just adding decimals, but make sure you use a dollar sign. Check your answers.
Lesson 123*
 Learn a fact. 3 x 9 = 27. Do numbers 1, 3 and 4 along the top, “learn with pictures,” “understand the basics,” and “play a game.”
 Twentyseven divided by nine is three. Twentyseven divided by three is nine.
 *Do the money word problems. Work neatly and give this to a parent when you are finished to add to your portfolio. Check your answers.
Lesson 124*
 Do the quick quiz. Whatever you got wrong, go find the right answer by clicking on the problem. If you didn’t get any wrong, go and get a high five and/or a hug.
 *Do this worksheet. You are going to add and subtract dollars. Make sure you pay attention each time to see if it’s addition or subtraction. Check your answers.
Lesson 125*
 Learn a fact. 4 x 4 = 16. Do numbers 1, 3 and 4 along the top, “learn with pictures,” “understand the basics,” and “play a game.”
 What’s sixteen divided by four? If four times four is sixteen, sixteen divided by four is four.
 *Do this worksheet. You are going to add and subtract dollars. Make sure you pay attention each time to see if it’s addition or subtraction. Check your answers.
Word Problems
Lesson 126
 Learn a fact. 4 x 5 = 20. Do numbers 1, 3 and 4 along the top, “learn with pictures,” “understand the basics,” and “play a game.”
 Twenty divided by four is five. Twenty divided by five is four.
 Read the multiplication rhymes.
 Solve the word problems.
Lesson 127
 Learn a fact. 4 x 6 = 24. Do numbers 1, 3 and 4 along the top, “learn with pictures,” “understand the basics,” and “play a game.”
 What’s twentyfour divided by four? (answer: six)
 What’s twentyfour divided by six? (answer: four)
 Read the multiplication rhymes.
 Solve the word problems. These use different numbers from Lessons 126.
Lesson 128*
 Learn a fact. 4 x 7 = 28. Do numbers 1, 3 and 4 along the top, “learn with pictures,” “understand the basics,” and “play a game.”
 What’s twentyeight divided by four? You know because you know that four times seven is twentyeight. (answer: seven)
 What’s twentyeight divided by seven? (answer: four)
 Read the multiplication rhymes.
 *Subtract the money. Check your answers.
Lesson 129
 Learn a fact. 4 x 8 = 32. Do numbers 1, 3 and 4 along the top, “learn with pictures,” “understand the basics” and “play a game.”
 What is thirtytwo divided by eight? You know because you know that four times eight is thirtytwo.
 What is thirtytwo divided by four?
 Read the multiplication rhymes.
 Solve the word problems.
Lesson 130*
 Learn a fact. 4 x 9 = 36. Do numbers 1 and 3 along the top, “learn with pictures,” “understand the basics.”
 What is thirtysix divided by four? You know because you know that four times nine is thirtysix.
 What is thirtysix divided by nine?
 *Follow the directions and complete the estimation worksheet. Check your answers.
 What time is it?
 vocabulary review
Review
Lesson 131*
 Do the quick quiz. Whatever you got wrong, go find the right answer by clicking on the problem. If you didn’t get any wrong, go and get a high five and/or a hug.
 *Complete the worksheet page. You’ll actually need to do the first part online! Check your answers.
Lesson 132*
 Learn a fact. 5 x 5 = 25. Do numbers 1, 3 and 4 along the top, “learn with pictures,” “understand the basics” and “play a game.”
 What is twentyfive divided by five? How do you know?
 *Complete the worksheet. Check your answers.
Lesson 133*
 Learn a fact. 5 x 6 = 30. Do numbers 1, 3 and 4 along the top, “learn with pictures,” “understand the basics” and “play a game.”
 What is thirty divided by five?
 What is thirty divided by six?
 *Complete the worksheet. Check your answers.
Lesson 134*
 Learn a fact. 5 x 7 = 35. Do numbers 1, 3 and 4 along the top, “learn with pictures,” “understand the basics” and “play a game.”
 What is thirtyfive divided by seven?
 What is thirtyfive divided by five?
 *Complete the worksheet. Check your answers. You may want to use the 100s chart on page 5 here.
Lesson 135*
 Learn a fact. 5 x 8 = 40. Do numbers 1, 3 and 4 along the top, “learn with pictures,” “understand the basics” and “play a game.”
 What is forty divided by eight?
 What is forty divided by five?
 *Complete the subtraction worksheet. Check your answers.
 Choose counting by 3.
 Every time you jump, that’s the answer to a multiplication problem. Three, one time, is three. Three, two times, is six, the next island you jump to.
Lesson 136*
 Learn a fact. 5 x 9 = 45. Do numbers 1, 3 and 4 along the top, “learn with pictures,” “understand the basics” and “play a game.”
 What is fortyfive divided by nine?
 What is fortyfive divided by five?
 *Complete the worksheet for today. Check your answers.
 Here is a map of US highways to use for the last part of your worksheet.
 Choose counting by four.
Lesson 137*
 Do the quick quiz. Whatever you got wrong, go find the right answer by clicking on the problem. If you didn’t get any wrong, go and get a high five and/or a hug.
 *Complete the worksheet. Check your answers.
Lesson 138*
 Learn a fact. 6 x 6 = 36. Do numbers 1, 3 and 4 along the top, “learn with pictures,” “understand the basics” and “play a game.”
 What is thirtysix divided by six?
 Click “Play.” Go to the subtraction page. Click “Next” and “again.” Click on “Skip” until the top number has a zero in it. Make sure it is a problem where you need to borrow from the place where there is a zero. Do you remember what you did when there was a zero on top? If there is nothing there to borrow, you have to go to the next column and borrow. Try the problem out.
 *Keep your skills sharp and complete the worksheet. Check your answers.
Lesson 139*
 Learn a fact. 6 x 7 = 42. Do numbers 1, 3 and 4 along the top, “learn with pictures,” “understand the basics” and “play a game.”
 What is fortytwo divided by six?
 What is fortytwo divided by seven?
 *Complete the worksheet. Check your answers.
 Count by 5s this time.
Lesson 140*
 Learn a fact. 6 x 8 = 48. Do numbers 1, 3 and 4 along the top, “learn with pictures,” “understand the basics” and “play a game.”
 What is fortyeight divided by eight?
 What if fortyeight divided by six?
 *Subtract with zeros.
 I’ll do the first one with you. Draw a box around the 50 and take one away to make it 49 if that helps your brain understand.
 Check your answers.
Comparing Decimals/Fractions
Lesson 141
 Learn a fact. 6 x 9 = 54. Do numbers 1, 3 and 4 along the top, “learn with pictures,” “understand the basics” and “play a game.”
 What is fiftyfour divided by nine?
 What is fiftyfour divided by six?
 Compare the money amounts. Choose level 7.
 Color in 1 block. That’s one out of 100, 1/100, or one hundredth. What number would be represented if you colored in two blocks?
 Make the fractions and compare: 1/10 and 1/100, 3/10 and 3/100, 9/10 and 9/100. Which of the fractions are bigger? (Don’t use the arrows. Type in the denominators.)
 Do you remember how fractions and decimals are related? Just watch the first two minutes. You don’t need to change them into each other, just see how they are related.
Lesson 142
 Do the quick quiz. Whatever you got wrong, go find the right answer by clicking on the problem. If you didn’t get any wrong, go and get a high five and/or a hug.
 Compare the money amounts. Choose level 7.
 You know that 34/100 = 0.34. That is 34 hundredths. There are two places (two numbers) after the decimal point, so when you change it into a fraction you put it over 1 with two zeros.
 Match the fractions to the decimals.
Lesson 143
 Learn a fact. 7 x 7 = 49. Do numbers 1, 3 and 4 along the top, “learn with pictures,” “understand the basics” and “play a game.”
 What is fortynine divided by seven?
 Compare the money amounts.
 How do you write 1/10, one tenth, as a decimal? You write 0.1 . There is only one place (one number) after the decimal point, so when you change it into a fraction you put it over 1 with only one zero.
 Match the fractions and decimals.
Lesson 144
 Learn a fact. 7 x 8 = 56. Do numbers 1, 3 and 4 along the top, “learn with pictures,” “understand the basics” and “play a game.”
 What is fiftysix divided by eight?
 What is fiftysix divided seven?
 Compare the money amounts.
 Remember: one decimal place, one zero; two decimal places, two zeros… Like this:
 .34 = 34/100 34 hundredths
 .5 = 5/10 5 tenths
 0.68 = 68/100 68 hundredths
 0.3 = 3/10 3 tenths
 Match the fractions and decimals.
Lesson 145
 Learn a fact. 7 x 9 = 63. Do numbers 1, 3 and 4 along the top, “learn with pictures,” “understand the basics” and “play a game.”
 What is sixtythree divided by seven?
 What is sixtythree divided by nine?
 Play with the order of decimals. Play rookie mode.
 Remember how much bigger 1/10, one tenth, was than 1/100, one hundredth? Wouldn’t you rather have 1/10, one tenth, of the pizza?
 5/10, 5 tenths, was a lot bigger than 5/100, 5 hundredths, too.
 Make fractions again. Make 2/10 and 2/50. Which is bigger?
 Make 3/10 and 78/100. Which is bigger? (answer: 78/100 is bigger)
 The hundredths fraction was bigger. Why? 78 has 7 in the tens place (or the tenths place since it’s a decimal). 7 is bigger than 3.
 When you compare fractions, you FIRST have to look at the FIRST decimal place, the FIRST number, the tenths place. Whichever number is bigger, that’s the bigger decimal.
 Compare decimals.
Lesson 146
 Do the quick quiz. Whatever you got wrong, go find the right answer by clicking on the problem. If you didn’t get any wrong, go and get a high five and/or a hug.
 Compare the decimals. Choose level 6.
 Add double digits. Choose addition and level 3. Play until you see confetti twice.
Lesson 147
 Learn a fact. 8 x 8 = 64. Do numbers 1, 3 and 4 along the top, “learn with pictures,” “understand the basics” and “play a game.”
 What is sixtyfour divided by eight?
 Match the decimals and fractions.
 Subtract double digits. Choose subtraction and level 3. Play until you see confetti twice.
Lesson 148
 Learn a fact. 8 x 9 = 72. Do numbers 1, 3 and 4 along the top, “learn with pictures,” “understand the basics” and “play a game.”
 What is seventytwo divided by nine?
 What is seventytwo divided by eight?
 Match the decimals and fractions.
 Add triple digits. Choose addition and level 4. Play until you see confetti twice.
Lesson 149
 Learn a fact. 9 x 9 = 81. Do numbers 1, 3 and 4 along the top, “learn with pictures,” “understand the basics” and “play a game.” You know all the facts!
 What is eightyone divided by nine?
 Do this decimals matching activity.
 Subtract triple digits. Choose subtraction and level 4. Play until you see confetti twice.
Lesson 150
xtramath It’s time to start xtramath for multiplication and division if you haven’t already. A parent can set it to multiplication if it’s not there automatically. Hopefully you are prepared to finish multiplication quickly and then can move onto division.
 Watch the place value song.
 Then find the right place value pirate.
 Make change. Click on “medium” and don’t show change amount. Count up to the amount they spent, or subtract to find the amount of change.
Measurement
Lesson 151*
 *Complete the multiplication worksheet. Check your answers.
 Measure the line to the sixteenth. Each inch is divided into 16 sections. To find 9/16 you would count over 9 lines. To find 2 and 4/16 you would start at the two and count over four lines.
Lesson 152*
 *Complete the fact family worksheet. You are used to fact families from addition and subtraction. Multiplication and Division work the same way. Check your answers.
 Read the centimeter ruler. Choose level 2.
 Each centimeter is divided into ten little sections. (Each little lines measures a millimeter.)
Lesson 153*
 *Answer the price questions. Check your answers.
 (*)Print out a ruler if you need one. (Choose the first if you are in America. You probably want the second if you are NOT in America.)
 (Here is another ruler option if you have trouble printing it.)
 Measure ten things in your house in inches and centimeters. Record your measurement on the next worksheet. Use decimals when recording the lengths. A quarter inch is 0.25. A half inch is 0.50. Threequarters of an inch is 0.75. Each millimeter line between centimeters is one tenth, 0.1. Two lines is two tenths, 0.2.
Lesson 154*
 *Use a die to complete the worksheet. Check your answers.
 Kilograms are how weight is measured in most of the world. A kilogram is 1000 grams. When I buy my vegetables, I buy them by the kilogram. A kilogram is about 2 pounds.
 Play with the kilogram to gram converter. Change the top one to gram and the bottom one to kilogram. Type in 100. Click convert to see the result. Can you write a fraction for the decimal? (Hint: They are both one tenth.)
 Try other numbers. Write down your results until you see the pattern and can accurately predict the answer.
 Can you write a fraction for any of your results?
Lesson 155
 What time is it?
 Math Vocabulary game
 Weigh three objects.
 Choose an object by clicking on “Objects” and choosing from the list.
 Then drag and drop weights onto the balance until the center circle lights up. You can remove any weight by dragging it off.
 When it lights up, you’ve balanced the scale. That means you’ve found the weight. Add up the weights to know how much it weighs. “G” stands for grams. That’s the unit you are measuring with.
Lesson 157*
Lesson 158*
Lesson 159*
 *There are two pages for Lesson 159 in the worksheet packet. Print them both out.
 If you are not an American, then pour a liter box of drink into a measuring cup and see if it’s a liter. Measure other liquids in liters and milliliters.
 If you are in the US, look at the charts on the second “Lesson 159” page. Test them. Measure tablespoons of flour into a quarter cup. Measure from a gallon of drink. How many cups? Make lots of measurements.
 *Complete the worksheet.
 You can check your answers when you are done.
Lesson 160*
 Play with the milliliter to liter converter. Type in 100. Click convert to see the result.
 Write down your results until you see the pattern and can accurately predict the answer.
 *Complete the worksheet. Check your answers.
Word Problems
Lesson 161
 Solve the word problems.
 Play a division game. This plays music. You might want to hit mute!
Lesson 165
 Solve the word problems. There is a trick in each problem. They give you more information than you need. Only use the information you need to find the answer.
 Play a division game. Choose a number to work on.
Lesson 166
 Solve the word problems. There is a trick in each problem. They give you more information than you need. Only use the information you need to find the answer.
 Play a division game. Choose a different number to work on.
Lesson 170
 Calculate the perimeter.
 Find the equivalent fractions.
 Create a symmetric drawing. Click on a line or circle or such thing under “Style.” Then choose a color. Draw on the board. It will automatically create the symmetry.
Graphs
Lesson 172
Lesson 173
 Do this lesson on the parts of a graph. You will also see a line graph and a circle graph.
 Click on “pie.” Add title, change numbers, add numbers, add labels, etc.
Lesson 174
 Do this lesson on the types of graphs. If the arrows aren’t working right, you can just scroll down the page to the next part.
 Look at the circle graph. What does it show? Change the information and watch the graph change.
Lesson 175
 Watch this lesson on line graphs. Take a screen shot and print it out to include in your portfolio.
 Try this practice.
Lesson 177
 Figure out the cost of each type of candy. If there were two candies that cost ten cents, each would cost five cents.
Lesson 180
 Choose two activities from Math 3 for review.
 Consider if you want to use the summer review book.
Congratulations on finishing third level math!
Summer School
Finish all of your math facts at xtramath or use our facts practice workbooks. Play games to practice your facts.
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