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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.

Learn about our books to work offline.

Printables for the year/ Buy the printables for the online course as a workbook

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. Scroll up for 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 numbers and shoot off the fireworks. Choose 1-100. (PLEASE NOTE: This and other ABCya links are best done from a computer. A mobile device will redirect this link to the paid app.)
- 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.

**Day 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.

- Buy the item with the exact amount.
- Measure with a ruler. Choose level 1.
- Tell time. Choose setting clocks analog (2nd from top). Then choose to the hour at the bottom unless you want to try a harder one.

**Day 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 two-digit 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.

- *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.

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.)

- *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.

- *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.

- You can watch the first part of this video to remind you about adding with carrying. Stop when the teacher says to do the problems on your worksheet (around 5:40).
- 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 Day 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.

- If you need a reminder on how to do this, you can watch this presentation before you practice.
- *Then you can do your Day 9 worksheet. Check your answers.

- Now let’s subtract.
- *Complete the Day 11 worksheet. Check your answers.
- If you can’t remember how to do this, you can watch this presentation.

- *Print and complete the Day 12 worksheet. Check your answers.
- If you want a reminder of how to do it, you can watch this presentation.

**Day 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.

- Watch the video on subtraction with borrowing.
- *Then complete this worksheet. Check your answers.

- Watch the video on subtraction with borrowing.
- *Then complete this worksheet. Check your answers.

- Watch the video on subtraction with borrowing (or regrouping)
- * Complete the subtraction word problems. Check your answers.

- *Complete the word problem worksheet. Some are addition and some are subtraction. Check your answers.

- *Complete the word problem worksheet. Some are addition and some are subtraction. Check your answers.

- Do both addition and subtraction level 2. Do each until you get confetti at least twice.
- Click on “Enter the Mega Penny Project.” Click “next” to count to a million, a billion, and more!

**Money **

**Day 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.

- *Complete the Counting Coins and Money Word Problems worksheet. Check your answers.

- Play Count the Money. Drag the puzzle piece (the picture portion) onto the answer.
- *Complete the worksheet. Check the answers.

- Add the costs of lunch.

**Day 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.

**Day 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)

**Day 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.

**Day 30***

**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.

- 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.

- Scroll down and click on “start.” Round to the nearest ten.
- *Keep your skills sharp with this worksheet. Check your answers.

- 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 again, just for the first 32 seconds.
- Round to the nearest hundred.
- *Complete the worksheet. Check your answers.

- 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.

- Do this lesson on telling time.
- Set the clocks.
- Choose Setting Clocks (Digital). It’s at the top.
- Then choose “To the half-hour” (which is second from the bottom).
- Remember: the hour is the number the hand has already passed.

- Set the clocks.
- Choose Setting Clocks (Analog). It’s the second from the top.
- Then choose “To the half-hour” (which is second from the bottom).
- The hour hand will move as you move the minute hand, so make sure it is accurate before you check.

- *Complete the worksheet. Check your answers.

- Take the time quiz . The blue hand is the minutes. The hour is the number the red hand has passed. To find the minutes, count by fives around the big numbers: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55
- Play again. Choose “Setting Clocks (Analog).” It’s the second from the top. Choose to the quarter hour.
- *Complete the worksheet. Check your answers.

- 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?
- Choose Phrase Match (either Digital – to type in the time, or Analog – to move the hands on the clock).
- Choose “To the Quarter Hour.”

- *Complete the worksheet. Check your answers.

- 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)

- Match the phrases. Choose digital or analog. Choose to 10 minutes.
- *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.

- 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. Choose Setting Clocks Digital and to 5 minutes. The top choices.
- *Complete the worksheet on subtracting with regrouping. Check your answers.

- Set the time again. Choose “Setting Clocks (Analog)” and “To 10 minutes.”
- *Complete the addition worksheet. Check your answers.

- Try Phrase Matching Digital and To 5 minutes.
- *Complete the subtraction worksheet. Check your answers.

- 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.

- Read this page about numbers to 1000 and then click on the “More or Less” activity at the bottom and do it.
- Do this adding and subtracting to 20 activity.

- 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.

- Make at least three big numbers.
- Do the activity, adding and subtracting to 20.

- 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.

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**

**Day 51***

- Round to the nearest ten.
- *Complete this worksheet on adding hundreds.
- Check your answers. Redo any problem you got wrong.

**Day 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!

**Day 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.

**Day 54***

- Watch this presentation on estimating differences with rounding.
- *Subtract and estimate.
- Check your answers. Make sure you understand your mistakes.

**Day 55**

- Try estimating golf. Play putt level. Play lots of rounds.
- Match the phrases. Choose analog. Choose to 5 minutes.

- 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. 7-1=6. Subtract the tens, 1-1=0. Your answer is 6.
- *Add and estimate.
- Check your answers. Make sure you understand your mistakes.

- 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.

- What time is it?
- Make the top two choices.
- It’s Setting Clocks (Digital) and To the Minute.

- *Add and estimate.
- Check your answers. Make sure you understand your mistakes.

- 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.

- Identify the shapes.
- Subtract. Choose Subtraction and level 2. Play until you see confetti at least twice.
- Play Bingo.

- 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.
- 543-221, 415-120, 627-188, 408-312, 100-47

- *Complete this subtraction worksheet.
- Check your answers.
- Fix your mistakes. Make sure you understand what you got wrong.

- *Complete this subtraction worksheet.
- Check your answers.
- Fix your mistakes. Make sure you understand what you got wrong.

- *Complete this subtraction worksheet.
- Check your answers.
- Fix your mistakes. Make sure you understand what you got wrong.

- 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 neither-both numbers are 13 away from 5000)

**Rounding/Estimation with Hundreds **

**Day 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)

- *Add and estimate.
- Check your answers. Make sure you understand your mistakes.

- *Subtract and estimate.
- Check your answers. Make sure you understand your mistakes.

- *Add and estimate.
- Check your answers. Make sure you understand your mistakes.

- *Subtract and estimate.
- Check your answers. Make sure you understand your mistakes.

- 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.
- (answer: Sides and angles are the same number.)

- Read this lesson on congruent shapes. Answer the questions.
- Read this lesson on symmetry. Answer the questions.

- 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**.

- Read this lesson on perimeter, the measure around an object.
- Count up the perimeter of the objects. Click play now, and then scroll down to choose the last option of Perimeter.

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**

**Day 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.

- Now round to the nearest hundred with the sharks.
- Round to the nearest ten.
- Play a level 2 subtraction game.

- 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.

- Choose Addition and then Estimate and Level 3. You are going to estimate by rounding to the nearest ten. 356 rounds to 360. 78 rounds to 80. 2431 rounds to 2430. When you round to the nearest ten, there is one zero. The tens place is the number that might change and then the ones place is a zero.
- Play a level 2 subtraction game.

- Play Putt level. Then play Junior level.
- Do this activity, adding and subtracting to 20.

**Estimating Sums and Differences with Thousands**

**Day 81***

- *Add and estimate.
- Check your answers. Fix any mistakes.

- *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.

- *Add and estimate. Check your answers.

- *Subtract and estimate. Check your answers.

- Play Sir Roundalot. Choose Estimate Sums.
- Play War Pretzels.

**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.- 8:30-9:30 is one hour.
- 9:30-10:30 is one hour. (That’s 2 hours all together.)
- 10:30-11:30 is one hour. (That’s 3 hours.)
- 11:30-12:30 is one hour. (That’s 4 hours.)
- 12:30-1:00 is half an hour. (That’s 4 and a half hours.)

- Read the directions. This is a simple activity, but you need to know how to use it.
- Make the clock that says “current” be at the same time as the “end” clock. Make time pass by clicking on the time buttons at the bottom, like “1 hour.” If you click on 1 hour, the “current” clock will move ahead 1 hour. It will read that 1 hour has
**elapsed**, or passed. Keep clicking the time buttons until the current and end clocks match. - Make the correct amount of time pass, or
**elapse**.- Choose: Elapsed Time (digital).
- Try “to the hour” and “to the half-hour”.

- 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.

**Day 87**

- How much time has elapsed, gone by? You can choose analog this time.
- Click on subtraction. Choose level 3. Can you play until you see confetti three times? The confetti flies faster each time!

**Day 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.

- *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.

- 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.

- Review fractions.
- Click on addition. Choose level 3. Can you play until you see confetti three times?

- Read one more review lesson.
- Subtract and make the picture.

- 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.

- Do you remember your geometry vocabulary?
- How much time has elapsed? Choose Elapsed Time (Digital) in the top section and To the Quarter Hour in the bottom part.

- 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.

- Try to find the
**equivalent**fractions. Drag the picture from the top onto the match on the bottom. - Add hundreds. Choose addition and level 4. You can stop after you see confetti twice.

- Find the equivalent fractions.
- Subtract at least five problems.

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!

- 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.

- 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.

- Compare the fractions. Choose level 8.
- Play rounding sharks.

- 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.

- 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.

- 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.

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.

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.

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.

- 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?
- Choose either elapsed time option.
- Choose to the hour or to the half hour is if this easy for you.

- 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.

- 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.

- 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.
- *Divide by 2. Check your answers.

**Day 114***

- Learn a fact. 2 x 9 = 18. Do numbers 1 and 3 along the top, “learn with pictures” and “understand the basics.”
- Watch this video on dividing into groups.
- When we multiplied, we took the groups and added them all together. Now 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, 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.

- 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**

- 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.

- 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?

- 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.

- 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.

- 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.

- 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.”
- Twenty-one divided by seven is three. Twenty-one 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?

- 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.”
- Twenty-four divided by eight is three. Twenty-four 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.

- 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.”
- Twenty-seven divided by nine is three. Twenty-seven 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.

- 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.

- 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.

- 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.

- 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 twenty-four divided by four? (answer: six)
- What’s twenty-four divided by six? (answer: four)
- Read the multiplication rhymes.
- Solve the word problems. These use different numbers from Days 126.

- 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 twenty-eight divided by four? You know because you know that four times seven is twenty-eight. (answer: seven)
- What’s twenty-eight divided by seven? (answer: four)
- Read the multiplication rhymes.
- *Subtract the money. Check your answers.

- 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 thirty-two divided by eight? You know because you know that four times eight is thirty-two.
- What is thirty-two divided by four?
- Read the multiplication rhymes.
- Solve the word problems.

- Learn a fact. 4 x 9 = 36. Do numbers 1 and 3 along the top, “learn with pictures,” “understand the basics.”
- What is thirty-six divided by four? You know because you know that four times nine is thirty-six.
- What is thirty-six divided by nine?
- *Follow the directions and complete the estimation worksheet. Check your answers.
- What time is it?
- vocabulary review

- 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. If you have one red and one blue crayon or colored pencils, get them out. Check your answers.

- 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 twenty-five divided by five? How do you know?
- *Complete the worksheet. Check your answers.

- 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.

- 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 thirty-five divided by seven?
- What is thirty-five divided by five?
- *Complete the worksheet. Check your answers.

- 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.

- 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 forty-five divided by nine?
- What is forty-five 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.

- *Complete the worksheet. Check your answers.

- 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 thirty-six 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.

- 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 forty-two divided by six?
- What is forty-two divided by seven?
- *Complete the worksheet. Check your answers.
- Count by 5s this time.

- 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 forty-eight divided by eight?
- What if forty-eight 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**

**Day 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 fifty-four divided by nine?
- What is fifty-four 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?

- 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.

- 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 forty-nine 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.

- 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 fifty-six divided by eight?
- What is fifty-six 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.

- 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 sixty-three divided by seven?
- What is sixty-three 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 2/100. 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.

- Compare the decimals. Choose level 6.
- Add double digits. Choose addition and level 3. Play until you see confetti twice.

- 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 sixty-four divided by eight?
- Match the decimals and fractions.
- Subtract double digits. Choose subtraction and level 3. Play until you see confetti twice.

- 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 seventy-two divided by nine?
- What is seventy-two divided by eight?
- Match the decimals and fractions.
- Add triple digits. Choose addition and level 4. Play until you see confetti twice.

- 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 eighty-one divided by nine?
- Do this decimals matching activity.
- Subtract triple digits. Choose subtraction and level 4. Play until you see confetti twice.

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.

- *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.

- *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.)

- *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. Three-quarters of an inch is 0.75. Each millimeter line between centimeters is one tenth, 0.1. Two lines is two tenths, 0.2.

- *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?

- What time is it?
- Choose Phrase Match (Analog).
- Choose “To 5 Minutes.”

- Math Vocabulary game
- Weigh the little creatures and add their weights. (Stop when you get to the subtracting part.)
- You will slide the lower bar over to the right one at a time until the scale tips past the middle line.
- Then you need to move it back one.
- Next use the top slider to move over little by little until you get it balanced on the middle line. It will automatically take the little creature off the scale once you get it right. If it looks right, but the creature didn’t move, then just adjust it a little bit more.
- It will tell you how many grams it weighs. You type in the total and click submit. The first one you will add to zero. Next time you’ll be adding the first weight to the second weight.

- Weigh each creature like before. Continue on to subtract the weights.
- *Color the fractions. Check your answers.

- Make the weight shown by adding the creatures to the scale. This scale is in
**pounds**. That’s the weight measurement used in America. It is divided into 16 parts, like an inch. The scale shows 8 lines between each pound, so 1/16 is halfway between two of the little lines. Give it a try. If you need to take a creature off of the scale, just click on it. - *Complete the worksheet. Check your answers.

- *There are two pages for Day 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 “Day 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.

- 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**

**Day 161**

- Solve the word problems.
- Play a division game. This plays music. You might want to hit mute!

- Play all three levels of estimation golf.

- Solve the word problems.
- Play a division game.

- 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.

- 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.

- Solve the word problems.
- Play a division game. Choose easy.

- Solve the word problems.
- Play a division game.

- Solve the word problems.
- Play a division game.

- Calculate the perimeter.
- Find the equivalent fractions.
- Create a symmetric pattern. Click on create a pattern.

- Place the shapes on the bar graph.
- Play a division game.

- Answer questions about the bar graph.
- Grab the bugs and place them on the graph by color.
- Make a graph. Create a title, labels, and amounts.
- You could take a screen shot and save this in your portfolio.

- 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.

- 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.

- Watch this lesson on line graphs. Take a screen shot and print it out to include in your portfolio.
- Try this practice.

- Do this lesson on pictographs.

- Figure out the cost of each type of candy. If there were two candies that cost ten cents, each would cost five cents.

- Play a multiplication game.

- Play a division game.

- Choose two activities from Math 3 for review.

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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