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You should know all of your math facts. If you don’t, please go to xtramath every day until you do. Math is easier, and therefore more fun, when you know the answers! (Parents: If this isn’t coming easily for your child, you can slow it down. Click on parent/teacher and log in. Choose the child’s tab. Choose Change Program. Choose 6 second addition. When it’s mastered, you can change to subtraction, etc.)
Course Description: Students will expand their understanding of graphing, measurement, fractions, decimals, geometry, estimation, place value, time and money. Students will be introduced to adding, subtracting, multiplying, dividing and simplifying fractions, as well as probability, order of operation, the coordinate plane, long division, angles, percents and averages. Students will practice their skills and new math vocabulary using worksheets as well as online games, quizzes and activities. Students will also be challenged by mental math problems.
Materials:
 Basic Supplies List
 Day 61, yarn — Really, you could use any type of string. Floss would work; thread is probably too weak.
Learn about our books to work offline.
PRINTABLES are worksheets to use with this online course.
Printables worksheets for this online course/ Buy printables as a workbook
Review
Day 1 (Materials: It’s not needed today, but I suggest that this year they have a math notebook, a spiral notebook or something, unless they have a lot of trouble with physically writing. If they do, try this web page.)
 Play the medium level of this time game. Please read these directions: You will need to move the hands to the correct time. It will automatically tell you when you get to the right time. There’s nothing to click on to check. PAY ATTENTION: When it is 8:30, the hour is halfway between eight and nine, so the hour hand needs to be halfway between the eight and nine. I suggest start with the minute hand and then move the hour hand to the right spot.
 Round to the nearest ten.
 Round to the nearest hundred.
 Play this time matching game. Choose Level 1.
 Play Garage Sale Wizard.
 Make numbers.
 Round to the nearest 100. (If you don’t remember this, here is a presentation to watch.)
 Play Clockmaker.
 Play Shape Invaders.
 Read the bar graphs.
 Play the Advanced Level of this time game.
 *Then you can do your worksheet (Adding 2 digits regrouping). Check your answers.
 This is the pdf packet of all the worksheets for the year. You can print them all at once or buy it as a workbook for convenience. The answer key is posted at the top of the page.
 If you can’t remember how to do this, you can watch this video before you practice with the worksheet.
 Match the fractions.
 *Complete the worksheet (Subtraction 2 digits regrouping) (answer key)
 If you can’t remember how to do this, you can watch this presentation before you complete the worksheet.
 Do the timed multiplication facts. Choose up to 10. How many can you do in 3 minutes?
 *Complete this worksheet, Add and Subtract Decimals.
 Check your answers (answer key). Understand your mistakes.
 Do the timed division facts. Choose up to 10. How many can you do in 3 minutes?
 *Complete the worksheet. (answer key)
 Do the timed multiplication facts. Choose up to 10. Can you do more than before in 3 minutes?
 *Complete the worksheet. (answer key)
 Do the timed division facts. Choose up to 10. Can you do more than before in 3 minutes?
 *Complete the worksheet.
 Check and fix your answers. (answer key)
 Practice rounding to the nearest ten.
 Practice rounding to the nearest ten with hundreds.
 *Complete the worksheet. (answer key)
 Check and fix your answers.
Place Value and Expanded Notation
 Do the timed multiplication facts. Choose up to 10. Can you do more than before in 3 minutes?
 Do this lesson on place value and expanded notation or expanded form. You don’t need to write the sentence at the end. You should never give your name out on the internet.
 Do the timed division facts. Choose up to 10. Can you do more than before in 3 minutes?
 Read this lesson on place value and expanded form. Make sure you click to go to the next page.
 Do the timed multiplication facts. Choose up to 10. Can you do more than before in 3 minutes?
 *Complete this worksheet on expanded form and standard form. (answer key)
 Do the timed division facts. Choose up to 10. Can you do more than before in 3 minutes?
 *Complete the worksheet. You’ll need scissors and you’ll need the Day 15 worksheet as well. You won’t finish it today, but you’ll be writing down some numbers.
 Just for fun. Make REALLY BIG NUMBERS.
 Do the timed addition facts. Choose up to 10 and dynamic difficulty.
 *Complete the Day 15 worksheet (this is the same one that was printed on day 14).
 Do the timed multiplication facts. Choose up to 10. Can you do more than before in 3 minutes?
 Watch this lesson place value houses.
 *Complete the worksheet.
 Write a digit in each room in each house. Line up the houses and read your number. You read the numbers regular (example: 514, you say, five hundred fourteen) and then you put on the “last name” (example: thousand, or million).
 Do the timed division facts. Choose up to 10. Can you do more than before in 3 minutes?
 *Complete the worksheet.
 While you work, listen to the big number song. Watch the end!
 Do the timed multiplication facts. Choose up to 10. Can you do more than before in 3 minutes?
 Complete the worksheet. (answer key)
 47, 531 The answer would be thousands.
 Do the timed division facts. Choose up to 10. Can you do more than before in 3 minutes?
 *Complete the worksheet and write the bigger numbers in expanded form. (answer key)
 Do the timed subtraction facts. Choose up to 10 and dynamic difficulty.
 *Complete the worksheet. (answer key)
Mental Math
Day 21 (Materials: math notebook to write down daily mental math answers)
 Do the timed multiplication facts. Choose up to 10. Can you do more than before in 3 minutes?
 Get out your math notebook. Write Day 21. You are going to be doing mental math, math in your head. You are only to write the answers. Do not write the questions. I will read the questions to you. You will write your answers underneath Day 21. If you get stuck and haven’t answered when I start the next question, pay attention to what I’m saying and just move onto the next question.
 Watch this presentation. Learn about mental math.
 Check your Mental Math Answers, 41.
 Do the timed division facts. Choose up to 10. Can you do more than before in 3 minutes?
 Get out your math notebook. Write Day 22. This is the label for your answers. Write your answers underneath.
 Watch this presentation. Learn about mental math. (Yes, there’s a typo in the problem, but you can still learn what it’s showing you.)
 Check your Mental Math Answers, 42.
 Do the timed multiplication facts. Choose up to 10. Can you do more than before in 3 minutes?
 Get out your math notebook. Write Day 23. This is the label for your answers. Write your answers underneath.
 Watch this presentation. Follow the directions. Learn some mental math techniques.
 Check your Mental Math Answers, 43.
 Do the timed division facts. Choose up to 10. Can you do more than before in 3 minutes?
 Get out your math notebook. Write Day 24. This is the label for your answers. Write your answers underneath.
 Watch this presentation. Follow the directions. Learn about mental math. (It says there is another example, but alas, there is not.)
 Check your Mental Math Answers, 44.
 *Complete the mental math worksheet. Remember, you are supposed to solve them in your head!
 Expanded form 346 = 300 + 40 + 6
 Rounding 38 is near 40; remember to take 2 off of the answer.
 Use the link to check your answers when you are finished.
Multiplying Bigger Numbers
 Do the timed addition facts. Choose up to 10 and dynamic difficulty.
 Mental Math Time!
 Check your Mental Math Answers, 45.
 Watch this presentation on multiplying bigger numbers.
 *Complete the multiplication worksheet. (answer key)
 You can look at the presentation again if you need another reminder.
 Check your answers when you are done. Make sure you understand your mistakes.
 Do the timed division facts. Choose up to 10. Can you do more than before in 3 minutes?
 Mental Math Time!
 Check your Mental Math Answers, 46.
 You are going to watch two videos with multiplication problems. Copy down each problem and write down the solution along with the video.
 Watch this video on multiplying.
 Watch this video on multiplying. Make sure you write down each problem and solve all the steps along with the video.
 Do the timed subtraction facts. Choose up to 10 and dynamic difficulty.
 Mental Math Time!
 Check your Mental Math Answers, 47.
 Are you ready to try some on your own?
 *Complete the worksheet, multiplication double digits. (answer key)
 Check your answers. Understand your mistakes.
 Do the timed division facts. Choose up to 10. Can you do more than before in 3 minutes?
 Mental Math Time!
 Check your Mental Math Answers, 48.
 *Complete the worksheet, multiplication double digits. (answer key)
 Check your answers. Fix your mistakes.
 Play the place value game. Choose level 2 and place value.
 Play this rounding game. I suggest muting the music.
 Can you do level 3 at the expert level? Count the money.
Graphs and Charts
 Do the timed addition facts. Choose up to 10 and dynamic difficulty.
 Mental Math Time!
 Check your Mental Math Answers, 49.
 Follow the directions to survey the students and tally up the results. Turn the results into graphs.
 Make a survey of people or things in your house. You can ask everyone at your home a question and tally the results or you could count things like doors, apples, etc. and tally the numbers. Make a graph. Print it if you can. Make sure you include all of the labels.
 Do the timed multiplication facts. Choose up to 10. Can you do more than before in 3 minutes?
 Mental Math Time!
 Check your Mental Math Answers, 410.
 Play this game to practice making and reading different types of charts. Pay attention to the directions. When I did it, at one point it didn’t automatically move me onto the next activity, so I clicked on it using the line along the bottom of the activity.
 Do the timed subtraction facts. Choose up to 10 and dynamic difficulty.
 Mental Math Time!
 Check your Mental Math Answers, 411.
 Read about different types of frequency diagrams. Keep clicking on next.
 Answer the questions.
 Do the timed division facts. Choose up to 10. Can you do more than before in 3 minutes?
 Mental Math Time!
 Check your Mental Math Answers, 412.
 Click on StepbyStep to learn about double line graphs. Make sure you do all of the parts. Click on show me, next and each of the tabs.
 Go back to the same page and click on test yourself.
 Play Best Friend Math. Click on counting money. Use paper if you need to, but try and figure out the answers in your head. How many friends did you make?
 Try Time Balloons. Choose five minutes. The clocks don’t have numbers on them. But you can count the lines and even just picture a clock in your head. Where is the 3, 6, 9 and 12?
Multiplying Bigger Numbers
 Do the timed addition facts. Choose up to 20 and 3 minutes.
 Mental Math Time!
 Check your Mental Math Answers, 413.
 Read this lesson on multiplying with hundreds and watch the first video.
 *Complete this worksheet on multiplying with hundreds. (answer key)
 When you are done, check your answers. Redo any problems you got wrong.
 Do the timed multiplication facts. Choose up to 10. Can you do more than before in 3 minutes?
 Mental Math Time!
 Check your Mental Math Answers, 414.
 Read this lesson on multiplying with hundreds and watch the second video.
 Click on the questions at the bottom and answer all ten.
 Do the timed subtraction facts. Choose up to 20 and 3 minutes.
 Mental Math Time!
 Check your Mental Math Answers, 415.
 *Complete the worksheet on multiplying hundreds.
 Check your answers. (answer key)
 Fix your mistakes.
 Do the timed division facts. Choose up to 10. Can you do more than before in 3 minutes?
 Mental Math Time!
 Check your Mental Math Answers, 416.
 *Complete your worksheet.
 Check your answers. (answer key)
 Fix your mistakes.
 Give this worksheet to a parent to put in your portfolio.
 Try this activity to review using data.
 Play the rounding cannon game.
 Find the standard form of the numbers in expanded notation.
 Do the timed addition facts. Choose up to 20. Can you do more than before in 3 minutes?
 Mental Math Time!
 Check your Mental Math Answers, 417.
 How would you add 16 + 7 in your head? You could add 6 + 7 + 10.
 *Complete the worksheet, multiplying practice 1.
 Check your answers. (answer key) Fix your mistakes.
 Do the timed multiplication facts. Choose up to 10. Can you do more than before in 3 minutes?
 Mental Math Time!
 Check your Mental Math Answers, 418.
 How would you add 88 + 8 in your head? You could add 8 + 8 + 80. Or, you could add 88 + 2 + 6.
 *Complete the worksheet, multiplying practice 2.
 Check your answers. (answer key) Fix your mistakes.
 Do the timed subtraction facts. Choose up to 20. Can you do more than before in 3 minutes?
 Mental Math Time!
 Check your Mental Math Answers, 419.
 How would you subtract 20 – 3 in your head. You could count down from 20. Or, you could think 10 + 10 – 3.
 *Complete the worksheet, multiplying practice 3.
 Check your answers. (answer key) Fix your mistakes.
 Do the timed division facts. Choose up to 10. Can you do more than before in 3 minutes?
 Mental Math Time!
 Check your Mental Math Answers, 420.
 *Complete the worksheet, multiplying practice 4.
 Check your answers. (answer key) Fix your mistakes.
 *Do the worksheet, Estimation with Multiplication. You are going to estimate the solution by rounding the top number to the nearest hundred and the bottom number to the nearest ten. Then you multiply the first digits together. Write down that number. Then you count up how many zeros are in the problem and write them in the answer. Here’s an example:
 458 x 34 = 500 x 30 = 15,000
 In America we put a comma after every three digits, starting on the far right with the ones. They don’t do that everywhere. I remember being confused when I was first living in Macedonia because in numbers they use decimal points for commas and commas for decimal points.
 Check your answers. Fix your mistakes.
 Do the timed addition facts. Choose up to 20 and 3 minutes.
 Mental Math Time!
 Check your Mental Math Answers, 421.
 *Complete the worksheet.
 Check you answers. (answer key) Find your mistakes.
Word Problems
 Do the timed multiplication facts. Choose up to 10. Can you do more than before in 3 minutes? If these are easy for you, choose up to 20.
 Check your Mental Math Answers, 422.
 Read about solving word problems and then solve the problems.
 Multiply and add to find the right amount.
 Do the timed subtraction facts. Choose up to 20 and 3 minutes.
 Check your Mental Math Answers, 423.
 Solve the multiplication and division word problems.
 Solve the word problems. Do five problems.
 Do the timed division facts. Choose up to 10. Can you do more than before in 3 minutes?
 Check your Mental Math Answers, 424.
 Solve the word problems. Do ten problems.
 Practice all operations build a bug.
 Solve the word problems. Make sure you write the label on your answer, 12 apples, $4.50, 6 children, etc.
Fractions
 Let’s start with a simple review.
 In the review it pointed out that one half, 1/2, is the same as two fourths, 2/4. What else is it the same as? If you had a pizza with 8 slices and you ate half, how many slices did you eat? 4! Four is half of eight. One way to read fractions is 4 out of 8.
 These are all the same amount.
 one half
 five tenths
 five out of ten
 0.5
 50%
 1/2 , 2/4 , 3/6 , 4/8 , 5/10 are called equivalent fractions. Equivalent means equal. Those fractions are all one half. The top number is half of the bottom number. The denominator is two times the numerator.
 When we change an equivalent fraction to its lowest terms, it’s called simplifying or reducing the fraction. That just means we take 5/10 (five tenths) and call it 1/2 (one half). If you ate 5 out of the 10 cookies, you ate one half of them. 5/10 and 1/2 are the same amount.
 One way to find an equivalent fraction is to multiply or divide the top and bottom numbers (the numerator and the denominator) by the same amount. Watch this presentation.
 Hang the monkeys on the line. Sometimes they will match what is on the number line. Sometimes you will have to hang the monkey on an equivalent fraction, one that equals the same amount but is written with different numbers.
 Match the fractions with the pictures.
 Match the equivalent fractions. (Hint: multiply the numerators and denominators by 2 or 3.)
 Compare the fractions. You compare them by looking at their numerators.
 Which fraction is the largest amount?
 1/2 is greater than 2/5 because…
 1/2 equals 5/10 (multiply top and bottom by 5)
 2/5 equals 4/10 (multiply top and bottom by 2)
 5 > 4
 *Complete the worksheet. (answer key)
 Read about proper fractions and do the questions.
 Read about improper fractions and do the questions.
 Read about mixed numbers or mixed fractions and do the questions.
 *Complete the worksheet. (answer key)
 *Complete the worksheet. (answer key)
 *Complete the worksheet. (answer key)
Long Division
Day 61* (Materials: yarn and file folder or poster board or some other strong paper, see picture)
 Read about long division. Don’t do the questions.
 *Print out the long division lapbook. There are five pages. Here are the directions and a picture of how it will look.
 Today you can cut out the quotient, dividend and divisor piece as well as the long, skinny rectangle with the steps of long division. Attach the pieces to whatever you are using for your lapbook.
 Read about long division.
 Today cut out and fill in the First Thing cat piece and Steps 24. Attach them to your lapbook.
 Watch the study jam on multiplication and division. Then test yourself. (Note! There are two pictures missing. The answer is the top one for both of them.)
 Cut out and fill in the answers to the smiley face and Then What. Attach them to your lapbook.
 Cut out all of the numbers. Make sure you cut out the blank square and leave it attached to each number. You are going to fold it in half to hang it on the yarn. Attach the yarn as described in the directions. Put the numbers in the number pocket and attach it to you lapbook.
 Divide 84 by each of the divisors.
 Do the study jam on singledigit division. Go through the lesson step by step and then make sure you test yourself.
 Read this page and answer the questions about remainders.
 Drag and drop math. Choose division. Choose 1 digit into 3 digits (1 digit on the left and 3 on the right). Leave it on 10 problems. Leave it on yes for remainders. Click on go.
 You can solve the problems online or write them down on paper if you like that better.
 Type the answer in the “result” box and click OK.
 Watch the study jam, step by step, on doubledigit division. Then test yourself.
 Read about long division. Do the questions.
 Drag and drop math. Choose division. Choose 2 digit into 4 digits (2 digits on the left and 4 digits on the right). Leave it on 10 problems. Leave it on yes for remainders. Click on go.
 You can solve the problems online or write them down on paper if you like that better.
 Type the answer in the “result” box and click OK.
Decimals
 Place value review — Read the page.
 Read about decimal place value and answer the questions.
 Read about the relationship between fractions, decimals and percents. Don’t do the questions.
 Do the study jam about dividing decimals.
 Watch the video changing fractions into decimals and answer the questions.
 Now divide to find the decimal form of 3/5 and 3/4. (answers: 0.6, 0.75)
 Match the fractions and decimals.
 Do it again.
 Do ten of the decimal problems. Match the decimal to the number in the top yellow bar.
 Add and subtract the fractions.
 Read about adding decimals and answer the questions.
 Read about subtracting decimals and answer the questions.
 Read about multiplying decimals, try the example problems and answer the questions 1, 2, and 3.
 *Complete, multiplying decimals.
 Check your answers when you are done. (answer key)
 *Complete, multiplying decimals.
 Check your answers when you are done. (answer key)
 Give this page to a parent to add to your portfolio.
 Play Making Change. Subtract to find the amount of change.
 Play cash out. Choose easy then medium. Click on NO for show change amount. Subtract or count on to find the amount. Can you use mental math?
 Read about dividing decimals and then answer the questions labeled 5th grade.
 Refer to your lapbook if you need help remembering the steps to division.
 Look at the different ways to write division problems. (Sometimes you may see 28 over 7 with a line in between, like a fraction, instead of 28/7. This means the same thing.)
 *Write the division problems in different formats, dividing in different formats. (answer key)
 *Complete the worksheet, comparing fractions and decimals. Divide the fractions to covert them into decimals and then compare the decimals.
 Check your answers when you are done. (answer key)
 Do drag and drop math. Choose multiplication. Choose three digits for both options. Do five problems. For any problem you get wrong, do another.
 Do drag and drop math. Choose division. Choose two digits into four digits. Leave it on Yes. Do five problems. For any problem you get wrong, do another.
 Read all THREE pages about adding fractions and do the problems. Notice how they simplify, reduce the fractions, writing an equivalent fraction for the answer.
 Play fruit shoot adding fractions, level 1 relaxed.
 Death to Decimals
 Visual Fractions — Make sure you read the directions! (under the word “report”)
 Do the timed addition facts. Choose up to 50 and 3 minutes.
 Mental Math Time!
 Check your Mental Math Answers, 425.
 Read about multiplying fractions and answer the questions.
 When you add and subtract, the denominator doesn’t change.
 When you multiply an divide, you use the numerator and the denominator.
 Do the timed multiplication facts. Choose up to 10 (or 20) and 3 minutes.
 Mental Math Time!
 Check your Mental Math Answers, 426.
 Read about multiplying fractions and answer the questions. You have to go on to the next page.
 *Complete the long division problems.
 Check your answers and fix any mistakes. (answer key) Use your long division lapbook to help you remember the steps.
 Do the timed subtraction facts. Choose up to 50 and 3 minutes.
 Mental Math Time!
 Check your Mental Math Answers, 427.
 Read about dividing fractions and answer the questions. (answer key)
 Do the timed division facts. Choose up to 10. Can you do more than before in 3 minutes?
 Mental Math Time!
 Check your Mental Math Answers, 428.
 *Complete the worksheet.
 Check and fix your answers when you are done. (answer key)
 Read about dividing fractions by whole numbers and answer the questions. You have to go on to the next page.
 *Complete this worksheet, dividing fractions and whole numbers. Remember that you can write a whole number as a fraction. 2 is 2/1 . 8 is 8/1 . (answer key)
Day 96
 Play this game to learn about the mean, median and mode.
 Read about the mean, median, mode and range.
 Answer the questions.
 Mean, median and mode
 Make a basket, divide the fraction.
 Play Jeopardy with 1 team unless you have a sibling that wants to play with you.
 The category tells you what to do with the numbers. Say your answer out loud. Then click on answer to see if you are right.
 If you are right, click on “correct” and it will add the points to your score.
Percents
 Read about percentages and answer the questions.
 I know you’ve seen this before, but read about fractions, decimals and percentages and answer the questions.
 Convert decimals, fractions and percentages.
 Change the fraction into a decimal. Try the hardest level.
 Watch the video on decimal place value.
Word Problems
 Solve the story problems.
 Solve the word problems. Do at least ten.
 Solve the word problems. Only use the information you need!
 Solve the word problems. Click on Q1 for the first question. Click on A1 when you are ready to check your answer. It will show you step by step how to solve it.
Rounding Decimals
 Play the football decimal place value game.
 Read about rounding decimals and answer the questions.
 Play the ducks decimal place value game.
 Play the pirate place value game.
 Play some games.
 Play the half court rounding game. Choose how many points you want to score to begin.
 Play Dude’s Dilemma. Choose mixture and hard.
 Play some games.
 Quick! Add the decimals. Combine two bones to make the target number.
 Round the decimals. Follow the directions each time at the bottom of the screen. It doesn’t always ask you to do the same thing.
 Play some games.
 Play with the decimal number line.
 Zoom in and again and again…until there is one digit in the decimal.
 Read the number line from 1 to 2.
 Zoom in again until there are two digits in the decimal.
 Read .1 to .2.
 How do those numbers fit into the number line from #3?
 Use the arrow right and left to move around the number line.
 Now, play the decimal detective game. Choose the sergeant mode.
Time
 Choose expert on the number cruncher.
 Choose the operation.
 Play the time traveler game.
 Solve the word problems.
 Practice elapsed time.
 Solve the word problems.
 Practice elapsed time.
Geometry (and Measurement)
 Solve the word problems.
 Watch the shape song. Yes, I know it starts with a circle, but be patient.
 Solve the word problems. (Take a screen shot of your correct answer and print it out for your portfolio.)
 Read about dimensions and 3D shapes.
 (*) Even if you don’t make it, take a look at this dodecahedron net. Nets are 3D images opened up and laid flat. You can print this and cut and paste it back into its 3D shape.
 Solve the word problems.
 Play 3D shape explorer.

 Play and read about 3D shapes.
 Catch the coins.

 Identify the angles. Click on the top row.

 Read about angles and answer the questions.
 Take a screen shot to include in your portfolio.

 Play and read about measurement.

 Measure with a ruler. Choose hard centimeters and inches (or super brain!)
 Read about perimeter and answer the questions.

 Find the perimeter. The perimeter is the measure around a shape. You add up all of the sides to find the perimeter.
 You will choose grade level 5. Then in the Math column choose Basketball Geometry: Perimeter for this one and then Baseball Geometry: Area for the next.
 Click on play two times to get this one started.
 Find the area. The area is the measure of the space inside a shape. To find the area of a rectangle you multiply the length times the width.
 To hit the ball click when the ball hits the green power line and then again quickly when it hits the green swing line.
 Click on “coach” if you want help.
 Find the perimeter. The perimeter is the measure around a shape. You add up all of the sides to find the perimeter.
 Design a zoo. Click and drag (don’t let go until you’ve made a rectangle) to make the enclosure have the right area.
 Pour the drinks. Read the directions before you begin.
Review

 Do the timed addition practice. Choose up to 50 and 3 minutes.
 Click and drag math. Choose addition. Do five of the biggest problems it allows.
 Do the timed subtraction practice. Choose up to 50 and 3 minutes.
 Click and drag math. Choose subtraction. Do five of the biggest problems it allows.
 Do the timed multiplication facts practice. Choose up to 10 and 3 minutes.
 Click and drag math. Choose multiplication. Do five of the biggest problems it allows.

 Do the timed division facts practice. Choose up to 10.
 Click and drag math. Choose division. Do five problems, choosing two numbers on the left and four numbers on the right.
 Play and read about time.
 Play this factors game. Factors are the numbers that can be divided evenly into a number with no remainder. For example, you can divide 24 by 2 and 3 and 4 and 6 and 8 and 12. 2, 3, 4, 6, 8, 12 are all factors of 24. 5 and 7 are NOT factors of 24 because you can’t divide 24 by 5 and get a whole number. You would get a decimal, or have a remainder.
 Thinking about what divides evenly into a number will help you simplify your fractions.
 Read about simplifying fractions and answer the questions.
 Fraction workshop — Click on add fractions with like denominators. Type in 10 for the number of problems.
 Drag the numbers into the answer squares. Use the little buttons next to the answer to check your answer or to show a picture of the problem.
 It will require you to simplify your answers. Do you remember what that means? It means to find the equivalent fraction that uses the lowest numbers. You do that by dividing the numerator and denominator (the top and bottom) by the same number. If the top and bottom numbers are both even, then you know you can divide them both by two to make them smaller.
 Fraction workshop — Click on add mixed fractions with like denominators. Type in 10 for the number of problems.
 Fraction workshop — Click on subtract fractions with like denominators. Type in 10 for the number of problems.
 Fraction workshop — Click on subtract mixed fractions with like denominators. Type in 10 for the number of problems.
 *Print and complete this worksheet, adding three fractions. If it is an improper fraction (the top number is bigger than the bottom number), divide the fraction to make it a mixed number. Simplify the fraction by finding the equivalent fraction with the lowest numbers. Look at the answer to the first problem to see how to write the answer.
 Check and fix your answers when you are done. (answer key)
 Read about adding and subtracting fractions when the denominators are different. Make sure you keep going to the next page and do the practice problems.
 Read about adding fractions when the denominators are different. Click on the animation. Answer the questions.
 Read about subtracting fractions when the denominators are different. Answer the questions.
 Round the numbers. Follow the directions.
 Fraction workshop — Click on add fractions with unlike denominators. Type in 10 for the number of problems.
 Fraction workshop — Click on subtract fractions with unlike denominators. Type in 10 for the number of problems.
 Fraction workshop — Click on multiply fractions. Type in 15 for the number of problems.
 Fraction workshop — Click on divide fractions. Type in 15 for the number of problems.
 Estimate to find the maximum capacity.
 *Complete the two pages of review. (answer key)
 *Complete the two pages of review. (answer key)
 *Complete the two pages of review. (answer key)
 *Complete the two pages of review. (answer key)
 Do you remember expanded notation?
 Play probability fair.
Order of Operations
 Do the timed addition practice. Choose 100 and 5 minutes.
 Read about the order of operations and answer the questions.
 Do the timed subtraction practice. Choose 100 and 5 minutes.
 Watch the order of operation video.
 Try some problems.
 Do the timed multiplication facts practice. Choose up to 10 (or 20) and 5 minutes.
 Save the day! Make sure you read the instructions. (If you can’t see the game, after you read the instructions, try this link.)
 Do the timed division facts practice. Choose up to 10 (or 20) and 5 minutes.
 Play a fraction board game.
 Play fraction, decimal and percent jeopardy.
Coordinate Plane
 Click and drag math. Choose addition. Do one of the biggest problems it allows. If you get it wrong, do another.
 Learn about the coordinate plane.
 Click and drag math. Choose subtraction. Do one of the biggest problems it allows. If you get it wrong, do another.
 Play Billy bug.
 Click and drag math. Choose multiplication. Do one of the biggest problems it allows. If you get it wrong, do another.
 Play space boy. This uses negative numbers. It’s not a problem. Just look at the labels.
 Click and drag math. Choose division. Do one problem, choosing two numbers on the left and four numbers on the right.
 Locate the aliens.
 Mental math
 Check your answers.
 Do the “play” and “read” probability.
 Mental math
 Check your answers.
 Probability spinner – Change the spinner to four sectors (under “spinner”). Watch the percentages change as you change the sectors. That’s the probability that the spinner will land on that color.
 Learn about probability as a fraction. Make sure you do each of the tabs and then test yourself.
 Mental math
 Check your answers.
 Learn about finding probability. Make sure you do each of the tabs and then test yourself.
 Mental math
 Check your answers.
 Learn about a tool to help you guess an outcome. Make sure you do each of the tabs and then test yourself.
 Mental math
 Check your answers.
 Learn about making predictions. Make sure you do each of the tabs and then test yourself.
 Mental math
 Check your answers.
 Learn about different units of measurement. Make sure you do each of the tabs and then test yourself.
 Mental math
 Check your answers.
 Learn about customary units of length. Make sure you do each of the tabs and then test yourself.
 Mental math
 Check your answers.
 Learn about tools of measurement. Make sure you do each of the tabs and then test yourself.
 Mental math
 Check your answers.
 Learn about measuring length. Make sure you do each of the tabs and then test yourself.
 Mental math
 Check your answers.
 Learn about finding volume. Make sure you do each of the tabs and then test yourself.
 Learn about telling temperature.
 Learn about telling time. Make sure you do each of the tabs and then test yourself.
 Convert units of time. Make sure you do each of the tabs and then test yourself.
 Practice with elapsed time. Make sure you do each of the tabs and then test yourself.
Congratulations on finishing fourth level math!
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SUMMER SCHOOL – Make sure you know those facts! Use flashcards, our facts practice workbooks, our online facts practice page, and programs like xtramath.
You might want to consider beginning Step 1 now. Take a look at the course. It begins with review which would work over the summer. 🙂 Just take it slowly.