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June 2, 2016 Dear Students, You did it! You made it to JUNE 2nd! You all worked hard and deserve a fabulous break. But in between swimming, camping, traveling, etc. please remember all we’ve learned about place value, time, multiplication, division, geometry, and fractions. The math next year and in the upper grades will continue to build on the foundation of what we just accomplished in third grade. Remember, without this strong foundation, future success in math is going to be difficult. This is why I have put together the Summer 2016 Math Program. Please work a little each week to complete these review problems. Why? Because you’ll be better able to retain the math facts and abilities you acquired over the past year and you will be ready for a rigorous course of mathematics this Fall. Also, please continue with your nightly 3-5 minutes of practice with Flash Cards. This is extremely important. You may think, “But I already KNOW my math facts!” That is terrific! Let’s make sure you don’t FORGET them between now and August! You can practice anywhere, anytime. During road trips, waiting in an airport, floating around on a raft in the pool – anywhere! In fourth grade, you will need to be able to recall these math facts quickly and automatically. Please practice everyday. Trust me, you will be a much happier student in the Fall if you spend regular time this summer revisiting and working with these mathematical concepts. If you don’t remember the vocabulary included in this packet you may easily look it up online. Bring the yellow packet back in August fully completed and you will receive a Math Certificate of Completion. Have a safe and enjoyable summer! Sincerely, Ms. Dooling Summer 2016 Math Program Week of June 6th –10th Reading and writing numbers in standard and expanded form. 1.) Write in standard form: 7,000 + 300 + 40 + 1 =______________________________________ 2.) Write in standard form: 900 + 70 + 4 = _____________________________________________ 3.) Write in expanded form: 5,673 ___________________________________________________ _________________________________________________________________________________ 4.) Write in standard form: 8,000 + 600 + 5 = __________________________________________ 5.) Write in standard form: 70,000 + 4000 + 200 + 60 + 3 + _______________________________ 6.) Write in expanded form: 76,333____________________________________________________ __________________________________________________________________________________ 7.) Write in expanded form 79 ________________________________________________________ _________________________________________________________________________________ 8.) Write the word name: 56,389 ________________________________________________________________________________ _________________________________________________________________________________ 9.) Write the word name: 7,045 ______________________________________________________ __________________________________________________________________________________ 10.) Write the word name: 876___________________________________________________ _________________________________________________________________________________ Week of June 13th– 17th Comparing and Ordering Numbers Write the numbers in order of least to greatest. 1.) 312 321 231 _______________________________________________________________ 2.) 3,576 3,756 3,657 ____________________________________________________________ 3.) 387 2,890 462 _______________________________________________________________ 4.) 2,870 873 3,708 ______________________________________________________________ Joe’s team had 248 hits for the season. Lisa’s team had 283 hits for the season and Maggie’s team had 284 hits during the season. 5.) Which team had the most hits?______________________________________________________ 6.) Which team had the least hits?______________________________________________________ Tim measured a chain that was 783 inches while Steve measured a chain that was 773 inches. Carla measured a chain that was 777 inches. 7.) Who measured the longest chain?____________________________________________________ 8.) Who measured the shortest chain?___________________________________________________ 9.) Miguel had 201 pages in his library book and Sam had 210 pages in his library book. Who had the book with the most pages? _______________________________________________________ 10.) Which is the greatest number? 100,001 or 100,101?_________________________________ Week of June 20th – 24th Place Value Review of different meanings of “digit” and “value” 1.) What digit is in the thousands place? 2,364 ________________________________________ 2.) What digit is in the ones place? 6,321 ____________________________________________ 3.) What digit is in the tens place? 657 ______________________________________________ 4.) What digit is in the ten thousands place? 45,908 ____________________________________ 5.) What digit is in the thousands place? 6.) What is the value of the 3 in the number 398? 7.) What is the value of the number 7 in the number 71? _________________________________ 8.) What digit is in the thousands place? 9.) George has four number cards 5 1,200________________________________________ ______________________________________ 9,786________________________________________ 8 7 3 What is the largest number George can make with his cards? ______________________________________________________ 10.) What is the largest EVEN number George can make using all four cards? ________________ __________________________________________________________________________________ Week of June 27th – July 1st Review of time 1.) How many minutes are in an hour? _________________________________________________ 2.) How many minutes are in a half hour? _____________________________________________ 3.) How many minutes are in a quarter of an hour? ______________________________________ 4.) How many hours are in one day? _________________________________________________ 5.) How many hours are in the A.M. portion of one day? __________________________________ 6.) I go to work at 8:00 A.M. and leave each day at 5:00 P.M. How long is my work day?______________________________________________________________________________ 7.) We go to lunch at 11:45 at St. Rose School. Is it A.M. or P.M.? _________________________ 8.) My doctor’s appointment is at 2:00P.M. It ended at 3:15 P.M. How long was my doctor’s appointment? _____________________________________________________________________ 9.) Is midnight A.M. or P.M.? How would it appear on your alarm clock (which digits?) ________________________________________________________________________________ 10.) The game started at 6:20 P.M. It ended at 8:05 P.M. How long was the game? ______________________________________________________ Week of July 4th – 8th Multiplication 1.) 2 x 2 = ______ 2.) 3 x 3 = ______ 3.) 4 x 4 = ______ 4.) 5 x 5 = ______ 5.) 6 x 6 = ______ 6.) 7 x 7 = _______ 7.) 8 x 8 = _______ 8.) 9 x 9 = _______ _________________________________________________________________________________ 9.) Please fill in the blank in #9 with one of these word choices: addition groups of subtraction documentation 9.) I know in multiplication, the symbol x means ________________________ __________________________________________________________________________________ 10.) Look at 5 x 3 Please draw below what the five and the three represent. Example: Is it five things and then you join three more things? Or are there groups of things? Are you separating things apart? Do you take three things away from five things? What is 5 x 3 telling you to do mathematically? Week of July 11th – 15th More Multiplication 1.) 12 x 4 = __________ 2.) 10 x 3 = ___________ 3.) 11 x 3 = ___________ 4.) 9 x 9 x 0 = __________ 5.) 2 x 3 x 7 = ___________ 6.) 6 x 8 = _______________ Choose an answer and fill in the blank. 7.) 3 x 4 = 4 x 3 This is called the _______ a.) Communion Property 8.) 75 x 0 = 0 3.) Community Property This is called the ________ a.) Zero Property of Multiplication 9.) b.) Commutative Property b.) Distributive Property c.) Denominator Property 3 x 5 x 2 can be found by 3 x 5 = 15 then 15 x 2 = 30 OR by 5 x 2 = 10, then 3 x 10 = 30. Is this the distributive property or the associative property?___________________________________ 10.) The answer to a multiplication problem is a___________. Addition answer?______________ Week of July 18th – 22nd More Multiplication 1.) There are only three rows of seats in the theater. Each row has 10 seats. John has 38 students to take to the movies. Will there be enough seats?_________________________________________ _________________________________________________________________________________ 2.) How many children will not have seats?____________________________________________ How did you figure this out? Which operation did you use? (subtraction, addition, multiplication or division?)__________________________________________________________________________ __________________________________________________________________________________ 3.) What is 5 x 5 x 5 = _________ 4.) What is 30 x 5 = _________ 5.) What is 60 x 3 = _________ 6.) What is 20 x 4 = _________ 7.) What is 100 x 7 = _________ 8.) Terry is teaching P.E. to 33 children. She needs to make 3 groups for a special game. How many students will be in each group? __________________________________________________ 9.) Sarah needs to make brownies. The information on each box of brownie mix at the store says one box can make 24 brownies. She has 72 people to serve at the party. How many boxes of brownie mix will she need to buy? __________________________How did you figure this out? What operation did you use?)_______________________________________________________ ________________________________________________________________________________ 10.) What is 12 x 12 = _________________________BONUS QUESTION: What are the numbers called that are multiplied together to get the product in a multiplication problem?________ Week of July 25th – July 29th Division 1.) 40 - 5 = _________ 2.) 60 – 6 = _________ 3.) 88 - 11 = _________ 4.) 10 - 2 = _________ 5.) 11 99 6.) 5 10 7.) 3 36 8.) 2 100 9.) 81 - 9 = _________ 10.) The answer in a division problem is called the ______________ Label which number is the dividend, quotient and divisor on the division problem below. Week of August 1- 5 Geometry Circle True or False 1.) Some examples of quadrilaterals are rhombuses, rectangles and squares. True False 2.) Parallelograms have two pairs of equal sides. True False 3.) A hexagon has six straight sides. True False 4.) A pentagon has five straight sides. True False 5.) A quadrilateral is a closed shape with four sides True False 6.) Draw a trapezoid in the space below. 7.) Draw a line segment in the space below. 8.) Another name for the different characteristics of a geometric shape is a.) Ray 9.) b.) attribute c.) 3 D What is a polygon? ________________________________________________________ _______________________________________________________________________________ 10.) What is the perimeter of a hexagon if all sides are 5 inches long? ____________________ BONUS Question: What is the difference between a 3 D and 2 D geometric shape? Is there such a thing as 1 D? ________________________________________________________________________ Week of August 8-12 Fractions 1.) Which is bigger? 1/3 or 1/2 _____________Please draw how you figured this out. __________________________________________________________________________________ 2.) Which is bigger? 1/8 or 1/4 _________________Please draw how you figured this out. __________________________________________________________________________________ 3.) What is 1/3 plus 1/3 = ________________________ 4.) What is ½ plus ½ = ______________________________ 5.) The top number in a fraction is called the _____________________________ 6.) The bottom number in a fraction is called the ___________________________ 7.) On a number line, please mark where the ½ would be (put a dot and label on the number line.) 0____________________________1_____________________________2 8.) On a number line please mark where the 2/3 would be (HINT: it is between the 0 and the 1 ) 0____________________________1_____________________________2 Choose the best answer and fill in the blank. 9.) 2/2 is the same as which number? ________ 10.) Which fraction is equivalent to 1/2 a.) 100 a.) 1/8 b.) 2 b.) 1 c.) 1 c.) 2/4