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4th Grade Summer Math Packet Summer Math Packet Directions 1. Complete each problem from the calendar in the same numbered space on the answer sheet. If you need more space attach paper with the month and number problem identified. 2. Make sure you show all work required to complete each problem. 3. Do not use a calculator for any of the problems. 4. Return the completed packet on the first day of September 2014. Websites for the summer. www.IXL.com Name _______________________________________________Common Core Math Grade 4 Summer Calendar – JULY Monday Tuesday 1) Find all the factor pairs of 48 Wednesday 2) Solve; Thursday 3) Solve: Friday 4) Name the type of angle below. 5) Draw all the lines of symmetry. A a) 3 feet = ______ inches b) ______ inches = 7 feet c) ______ yards = 28 feet 2 4x = 3 B C 4.OA.4 6) Find the product and show your work using the standard algorithm. 4.NF.4 7) Look at the two numbers below. 4.MD.1 8) Draw an area model for; 4.MD.5 9) Draw a model to show that 28 x 94 3 5 x a) 3,754 6 7 4.NBT.5 11) Decompose the fraction 7 9 The 4 in number “a” is ______________ times greater than the 4 in number “ b”? Then find the product. 4.NBT.1 12) Solve: 4.NBT.5 13) Create a number line and place these fractions least to greatest. 5 7 2 different ways. 4 7 + 3 8 4.NF.3 16) Write an equivalent decimal for each fraction below. 9 = ________________ 10 7 = ________________ 100 2 6 = 4 8 b) 8,401 3 4 1 2 4.NF.2 14) Create a model to compare these two fractions. Explain which is larger and why. 5 8 4.NF.2 4.NF.2 17) Place .03 and .05 on the number line. 18) Complete the table. 19) Carl had 275 marbles to put into 5 boxes. How many marbles will he put into each box? . 0 . . . . . . 4.NF.2 15) Make an equivalent fraction with a denominator of 100. 2 2 and 3 6 4.NF.3 feet 1 2 4.G.3 10) If a trapezoid is a whole, what fraction of the whole is a triangle? Model your answer and explain. 7 10 4.NF.5 20) Find the area and perimeter of the polygon below. 35 ft inches 12 17 ft 36 48 .06 45 = ________________ 100 4.NF.6 17 ft 35 ft 4.NF.6 4.MD.2* 4.MD.1 Items with a * are those directly related to the “Fluencies” for 4 th Grade. 4.MD.3* Name ____________________________________________Common Core Math Grade 4 Summer Calendar – AUGUST Monday 1) Use <, >, = to make the number sentence correct. Tuesday 2) Round each number to the ten thousands place. 2000+20+3 ______ 2000+200+3 4.NBT.2* 6) What are the next 4 numbers in the sequence? What is the rule? What do you notice about the pattern? a) 321,795 b) 1,267,401 c) 69,573 4.NBT.3 7) Write an equation using “t” to represent the unknown. Then solve the problem. 42, 47, 52, ______, ______, ______, ______ Carl had 356 baseball cards. After his cousin game him a box of cards, he had 402. How many cards did he get from his cousin? 4.OA.5* 4.OA.3* 11) Draw and label the following: 12) Write a equation to define this statement. Wednesday 3) Find the sum for each problem. a) b) c) d) 394 + 481 2,905 – 876 3,700 + 7,641 8,015 – 3,679 4.NBT.4* 8) Create a line plot with the following data. 1 1 1 1 3 5 5 1 3 , , , , , , , , 4 8 2 4 8 8 8 4 4 4.NF.1 9) Use <, >, or = to make the number sentence correct. Then use a model to prove your answer. * Which fraction represents the mode? * What is the difference between the largest and smallest fraction? .7 ________ .07 4.MD.4 13) What properties do the figures below have in common? a) AB 72 is 8 times more than 9 b) CD c) Parallel lines RS and LM d) Perpendicular lines PT and KV 4.G.1 16) Create an area model to find the quotient of ; 4.OA.1 4.G.2 17) Which figures have line symmetry? 18) List the common properties of the polygons below. a) Thursday 4) Find an equivalent fraction for 2 and use a model to show the 3 two fractions are equivalent. 4.NF.7 4.MD.5 14) Carol measured the angle of the sun to the side of her house at 8:00 am and found the angle to be 27. She measured the angle again at 12:00 noon and found the angle to be 56. What is the degree of difference from 8:00 am to 12:00 noon? How much more will the sun need to move to get to 120? 15) Identify each number as Prime or Composite; 4.MD.7* 19) Find the quotient using the standard algorithm. Show your work. 4.OA.4 4.NBT.6 850 ÷ 5 4.G.3 a) b) c) d) 49 31 67 48 20) Draw and label each of the following and explain how you know your figure is correct. b) 448 ÷ 8 c) Friday 5) Write an equation using “n” to represent the unknown. Do not solve. The Environmental Club planted 245 trees in May. This was seven times as many trees as they planted in April. What did they plant in April? Let “n” equal the trees planted in April. 4.OA.3* 10) Show a 30 angle on the clock. d) 4.G.2 Items with a * are those directly related to the “Fluencies” for 4 4.OA.2 th Grade. a) acute angle b) right angle c) obtuse angle 4.G.1 These are the skills your child must be fluent in to be able to have success in the upcoming grade. Fluencies; 1) All 4th graders must be able to fluently add and subtract multi-digit whole numbers using the standard algorithm. *What this means is that every student must be able to add and subtract numbers that have more than 1 digit using the standard form of addition and subtraction. No support items like fingers, number line, calculator, or any other type of support. Only use a pencil and paper. Example: 298 + 43 1,354 +2,698 3,509 -1,685 217 - 59 2) All 4th graders must be able to solve multi-step word problems posed with whole numbers and having whole number answers using the four operations. *What this means is that students must be able to use any combination of the four mathematical operations (addition, subtraction, multiplication, or division) to solve word problems that require more than one operation to find a solution. Example: Jason went shopping and bought an iPod for $25.50, a pair of earphones for $13.75, and an iTunes card for $30.00. When he got home he had $10.45 left. How much did he have when he first went shopping? Items with a * are those directly related to the “Fluencies” for 4th Grade. 4th Grade students must practice problems with these “Fluencies” to become more proficient. Tutorial of some skills: 1. Area model with multiplication; 23 x 45 20 30 3 30 x 20 30 x 3 600 4 2. Area model with division: 600 90 80 + 12 782 90 4 x 20 4x3 80 12 So, 23 x 45 = 782 245 ÷ 5 5 20 20 + 9 49 20 20 x 5=100 100 20 20 x 5=100 100 9 9 x 5=45 So, 245 ÷ 5 = 49 + 45 245 3) Decompose fractions: To decompose fractions means to take them apart and show them in a different way. Example: 5 7 = 1 1 1 1 1 + + + + 7 7 7 7 7 OR + 1 4 + 7 7 OR Name ___________________________________________ Common Core Math Grade 4 Summer Calendar-Answer Sheet – JULY Monday Tuesday Wednesday Thursday Friday 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Name ___________________________________________ Common Core Math Grade 4 Summer Calendar-Answer Sheet – AUGUST Monday Tuesday Wednesday Thursday Friday 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20