Summer Math Learning Packet for Students Entering. Grade 6. SFTitle I

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1 Summer Math Learning Packet for Students Entering Grade 6

2 Dear Parents, The attached packet provides a range of activities that review the skills and concepts that your child explored this year in their fifth grade mathematics classrooms. In addition, there are some skills that are expanded upon to help prepare your child for sixth grade. The attached packet is designed to get your child thinking about math throughout the summer, and helping to keep their skills sharp. The packet is designed so that your child can focus on working on a little bit of math each day, rather than completing the entire packet in one or a few days. We are proud of all of your child s efforts and their work completing this packet will be beneficial for them as they transition into sixth grade. Have a Great Summer! Spring-Ford 5/6 Staff Skills Targeted: Place Value Multiplying Whole Numbers Dividing with One and Two Digit Divisors Adding and Subtracting Decimals Multiplying and Dividing Decimals Adding and Subtracting Fractions Multiplying and Dividing Fractions Fractions to Decimals Geometry Perimeter & Area Measurement Ratios and Probability

3 Summer, Week 1 Monday Solve 15 x4= List All factors for the number 36: Which statement is the best estimate 5. What is the greatest common for the multiplication problem 24 x 62? factor for 6 and 8? A.) 20 x 50 C.) 30 x 60 Factors of 6: B.) 30 x 70 D. ) 20 x 60 Factors of 8: 465 x 8 = x =

4 Summer, Week 1 Tuesday Solve 39 x7= List All factors for the number 48: Which statement is the best estimate for the multiplication problem 123 x 47? 5. List the numbers below in order Smallest to Largest: A.) 130 x 40 C.) 120 x , 0.231, 1.17, 0.16, 1.16, B.) 130 x 50 D. ) 120 x = =

5 Summer, Week 1 Wednesday Solve 15 x24= List All factors for the number 60: Which statement is the best estimate for the multiplication problem 7.23x 19.8? 5. List the numbers below in order from smallest to largest: A.) 7 x 19 C.) 10 x 19.8 B.) 7 x 20 D. ) 20 x , 6.17, 6.08, 6.301, 6.3, / 12 =

6 Summer, Week 1 Thursday What is the perimeter of the Shape below? 614 / 8 There are four boys and three girls in class. What is the ratio of 5. Solve = boys to girls? A.) 4:7 C.) 7:4 B.) 3:4 D. ) 4:3

7 Summer, Week 1 Friday What is the perimeter of the Shape below? 603 / 12 There are Six Dogs and Five cats. What is the ratio of Dogs to Cats? 5. Solve = A.) 6:5 C.) 6:11 B.) 11:6 D. ) 5:6

8 Summer, Week 2 Monday What is the Area of the Shape below? 91/ 7 Write each fraction in 5. An ice cream store has 50 Simplest Form. popsicles. 31 of them are chocolate = What fraction of the popsicles are Chocolate? 8 10 =. You earn $42 a week babysitting. How much would you earn working for five weeks?

9 Summer, Week 2 Tuesday What is the Area of the Shape below? 165/ 15 Write each fraction in 5. A car dealership has 42 cars. Simplest Form. 12 are convertibles. 2 = What fraction of the cars are 10 convertibles? Simplify =. You have $132. you spend $18 on drinks and $64 on food. How much money do you have left over?

10 Summer, Week 2 Wednesday What is the Area of the Shape below? 2,936 / 4 Write each fraction in 5. SOLVE 14.2 x 8.5 Simplest Form. 25 = =. You have $334 to spend on pool items. You spend $218 on chlorine and $41 on floats. How much money do you have left over?

11 Summer, Week 2 Thursday What is the Volume of the shape below? 6885/ 15 Add The fractions Below: 5. SOLVE 1.2 x =. You earn $ 5 an hour. Your friend earns $7 an hour. If you each work for 5 hours, how much more money does your friend earn?

12 Summer, Week 2 Friday What is the Volume of the shape below? 15,369/3 Add The fractions Below: 5. SOLVE 3.65 x =. Which digit is in the tenths place? 1,564,

13 Summer, Week 3 Monday What is the Volume of the shape below? 5.62 / 4 Add The fractions Below: 5. SOLVE 5.25 x =. Which digit is in the hundredths place? 5, 456,

14 Summer, Week 3 Tuesday What is the Volume of the shape below? 5.62 / 4 Add the fractions Below: 5. Subtract the fractions Below: = =. Which digit is in the hundred millions place? 815, 456,

15 Summer, Week 3 Wednesday What is the Volume of the shape below? / 24 Add the fractions Below: 5. Subtract the fractions Below: = =. Which digit is in the ones place? 815, 456,

16 Summer, Week 3 Thursday What is the Volume of the shape below? / 39 Add the fractions Below: 5. Subtract the fractions Below: = 10-4 =. Which digit is in the thousandths place? 815, 456,

17 Summer, Week 3 Friday What is the Volume of the shape below? 12.8 /4 Add the fractions Below: 5. Wyatt bought a shirt for $11.42 and pants for $ What is the total amount he spent? =. Convert the fraction below to a decimal by dividing. 5 7

18 Summer, Week 4 Monday What is the Volume of the shape below? How many drivers are represented in this graph? Multiply the fractions Below: 5. Multiply the fractions Below:

19 1 4 2 x 5 = x 3 =. Convert the fraction below to a decimal by dividing. 1 Summer, Week 4 Tuesday 2 What is the Volume of the shape below?

20 How many students scored between 70-79? Multiply the fractions Below: 5. Multiply the fractions Below: x 5 = x 6 =. Convert the fraction below to a decimal by dividing. Summer, Week 4 Wednesday What is the Volume of the

21 shape below? If a bag of trail mix has 29 chocolate pieces, which bar would it be added to? Multiply the fractions Below:. DIVIDE the fractions Below: x 9 = =. Convert the fraction below to a decimal, divide if necessary. Summer, Week 4 Thursday What is the Volume of the shape below?

22 convert the improper fraction to proper: 5. DIVIDE the fractions Below: = 2 6 =. A wedding has 1, 064 flowers. They want to divide them evenly among 28 tables for centerpieces. How many flowers can go on each table? Summer, Week 4 Friday What is the Volume of the 5 shape below?

23 convert the improper fraction to proper 61 7 =. What is the greatest common factor of 12 and 42? 4. What is 15 Summer, Week 5 Monday 16 x 1 4? Compare using <, >, or =

24 ,738 / Divide the fractions Below: 5. Find the Product: = If a kite uses 125 feet of string, how much string is needed to make 15 kites? Summer, Week 5 Tuesday Compare using <, >, or =

25 ( 5 x 4 ) = Divide the fractions Below: 5. Find the Product: = If you buy 3 Wawa hoagies for $4.99 each, and pay with $20.00, what would your change be? Summer, Week 5 Wednesday Find the area of a lawn that is

26 63 feet long by 52.4 feet wide x 4 = Divide the fractions Below: 5. Find the Product: = Ben runs 12 minutes on Monday, 19 minutes on Tuesday, and 26 minutes on Wednesday. If this pattern continues, how long will he run on Thursday? Summer, Week 5 Thursday

27 A pair of shoes cost $50.00 Multiply by 0.06 to find the sales tax = Which is the best estimate of 381 9? 5. Name this polygon: A. 50 C. 40 B. 30 D. 20. A total of 88 parents attend the school concert. There are 8 chairs in each row. How many rows of chairs will be needed? Summer, Week 5 Friday

28 The width of a garden is 8 feet. What is the width of the garden in inches? $ = Is the shape below a regular or Irregular polygon? 5. Name this polygon:. How many faces are on a cereal box? How many edges are on a cereal box? How many vertices are on a cereal box? Summer, Week 6 Monday The length of a wall is 3 yards.

29 What is the length of the wall in feet? = Is the shape below a regular or Irregular polygon? 5. Name this polygon:. Each bag of candy contains 20 pieces. How many bags will be needed for 803 pieces of candy? Summer, Week 6 Tuesday Mr. Smith wants to fill a jar with cubes.

30 Which measurement does he need to determine the amount of cubes that will fit? A. area C. surface area = B. perimeter D. volume Is the shape below a regular or Irregular polygon? 5. Name this polygon:. Sue draws a regular pentagon. The total length of the sides is 40 feet. What is the length of one side? Summer, Week 6 Wednesday If you had 4 pints, would this be equal to 2 quarts. or 2 gallons?

31 = Is the shape below a regular or Irregular polygon? 5. Name this polygon:. A store stacks soda boxes into a triangular display. The bottom layer has 12 boxes. There are five layers. There are two fewer boxes as each layer gets stacked. How many boxes are in the display? Summer, Week 6 Thursday Pete draws a regular hexagon. The total length of the shape is 48 feet. What is the length of one side?

32 2 1 4 x = What Type of Triangle is shown below? 5. What Type of Triangle is shown below? A. Scalene A. Scalene B. Right B. Isosceles C. Equilateral C. Equilateral. Lynn ate 6 out of 10 grapes at lunch time. Which decimal shows the number of grapes that Lynn ate? A C. 0.4 B D. 4.0 Summer, Week 6 Friday Write the word form of the number below:

33 1, 403, x = What Type of lines are shown below? 5. What Type of lines are shown below?. There are two light bulbs in each pack. There are four packs of light bulbs in a box. How many lightbulbs will there be in eight boxes? A. 8 lightbulbs C. 64 lightbulbs B. 20 lightbulbs D. 32 lightbulbs Write the word form of the number below: 65, Summer, Week 7 Monday

34 2 2 5 x = What coordinate is the heart located at? 5. A recipe calls for 2 apples for every 1 banana. How many apples are needed if 3 bananas are used?. There are 12 boys and 9 girls in Mrs. Right s class. Write whether each statement is true or false. The ratio of boys to girls is 12:9. The ratio of girls to boys is 9:12. The ratio of boys to girls is The ratio of girls to boys is Summer, Week 7 Tuesday Using the Coordinate Grid below, answer questions Which gas station is closest to the mall?

35 2. Which gas station is furthest from the mall? 3. Shoppers want a new restaurant, but need to make sure it is at least 2 miles from any gas station. Should they build a restaurant 5 miles east and 8 miles north of the mall? 5. Write the math sentence using 683 1,000 <, >, or =. = 5 is less than is greater than 230 Summer, Week 7 Wednesday

36 Using the Coordinate Grid below, answer questions If you leave the house and go 6 yards east and 8 yard north, which tree do you arrive at? 2. Which tree is further west, G or C? 3. Pablo wants to plant a new tree. He wants it to be at least 3 square yards away from any other trees. where could he plant a new tree? 5. Write the math sentence using 121 1,000 <, >, or =. = 98 is equal to 98 Summer, Week 7 12 is less than 15 Thursday

37 Using the Coordinate Grid below, answer questions Which ship is 7 miles east and 4 miles north from the buoy? 2. Which way would ship G have to travel to get to Ship C? 3. A new captain wants to catch fish. He wants to be at least 4 square miles away from any other boats. If he sailed 2 east and 5 north will this location work? <, >, or =. 99 = 29 = 10 plus 7 is equal to minus 3 Summer, Week 7 Friday 5. Write the math sentence using

38 Using the Coordinate Grid below, answer questions Which well is 8 miles from well A? 2. Which well is located 10 east and 7 north of the origin? 3. The law says that a well cannot be within two miles of another well. If this is the law, which wells violate (break) this law? 761 = Write the math sentence using <, >, or =. = 12 plus 4 is less than 3 times 3

39 Summer, Week 8 Monday Using the Coordinate Grid below, answer questions Which letter is at coordinate (6, 4)? 2. Which letter is at coordinate (3, 6)? 3. Which coordinate is point D located at? 4. Which coordinate is point K located at? 5 6. What is the volume of a shape with a height of 6 in, a width of 3 in., and a length of 4 in.? 645 x 1.5 =

40 Summer, Week 8 Tuesday Using the Coordinate Grid below, answer questions Which point is located at the origin? 2. Which letter is at coordinate (5, 7)? 3. Which coordinate is point G located at? 4. Which coordinate is point D located at? 5 6. What is the volume of a shape with a = height of 7 in, and a base of 12 in.?

41 Summer, Week 8 Wednesday 1. Find the coordinate of point D 2. Find the coordinate of point D to make a rectangle. to make a rectangle. 3. Find the coordinate of point D 4. Find the coordinate of point D to make a rectangle. to make a rectangle.

42 Summer, Week 8 Thursday 1. Fill in the blank to make 2. Fill in the blank to make the conversion true. the conversion true. 3. Solve each problem. 4. Solve each problem ( ) = ( 2 x 9) -8 = (62-8) + 51= 2 x (9-8) = 7 x (18-2) + (7 x 18) -2 =

43 Summer, Week 8 Friday 1. Fill in the blank to make 2. Fill in the blank to make the conversion true. the conversion true. Find the sum of 6 and 4 and then take away 2 Find 6 times the difference of 8 and 2 Find the product of 3 and 2 and then take away 5 Find the sum of 6 and 1 and then times by 6 3. Solve each problem. 4. Solve each problem x 42.2=

44 Summer, Week 9 Monday What is the Volume of a shape that has a base of 24 square inches and a height of 12 inches? / 15 Divide The fractions Below: 5. SOLVE 4.52 x =. You earn $ 7.50 an hour mowing lawns. In one week, you earned $ How many hours did you work?

45 Summer, Week 9 Tuesday What is the Volume of a shape that has a base of 15 square inches and a height of 8 inches? 32: 64: Convert to improper: 4. Convert to Mixed Number: = = 7 = 8 =. Write the following in expanded form:

46 Summer, Week 9 Wednesday x

47 Summer, Week 9 Thursday What is the perimeter of a shape that has a length of 15 inches and a height of 6 inches? 18: 42: Convert to improper: 4. Convert to Mixed Number: = = 6 = 7 = 5. Solve the scrambled multiplication grid.

48 Summer, Week 9 Friday 2. What is the value of the expression: a. (10 2-2) 2= b. Lisa is 4 years older than her brother Sean. Sean is three years older than his sister Carrie. Carrie is 9 years younger than their brother Ed. If Ed is 22, how old are his siblngs? 3. Cienna made 42 bracelets using 12,368 centimeters of string. Each bracelet used an equal length of string. How many centimeters were used for each bracelet? 4. If forty-two thousand people fly on a 5. plane every day, how many people fly on a plane each hour?

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