SUMMER MATH. for students completing. Grade 3. and entering. Grade 4. Rolling Terrace E.S. First name: Last name: Math Teacher:
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1 SUMMER MATH for students completing Grade 3 and entering Grade 4 Rolling Terrace E.S. First name: Last name: Math Teacher: 1
2 2
3 STUDY Multiplication Time Table Chart STUDY 1 Times Table 2 Times Table 3 Times Table 4 Times Table 1 x 1 = 1 1 x 2 = 2 1 x 3 = 3 1 x 4 = 4 1 x 5 = 5 1 x 6 = 6 1 x 7 = 7 1 x 8 = 8 1 x 9 = 9 1 x 10 = 10 2 x 1 = 2 2 x 2 = 4 2 x 3 = 6 2 x 4 = 8 2 x 5 = 10 2 x 6 = 12 2 x 7 = 14 2 x 8 = 16 2 x 9 = 18 2 x 10 = 20 3 x 1 = 3 3 x 2 = 6 3 x 3 = 9 3 x 4 = 12 3 x 5 = 15 3 x 6 = 18 3 x 7 = 21 3 x 8 = 24 3 x 9 = 27 3 x 10 = 30 4 x 1 = 4 4 x 2 = 8 4 x 3 = 12 4 x 4 = 16 4 x 5 = 20 4 x 6 = 24 4 x 7 = 28 4 x 8 = 32 4 x 9 = 36 4 x 10 = 40 1 x 11 = 11 2 x 11 = 22 3 x 11 = 33 4 x 11 = 44 1 x 12 = 12 2 x 12 = 24 3 x 12 = 36 4 x 12 = 48 5 Times Table 6 Times Table 7 Times Table 8 Times Table 5 x 1 = 5 5 x 2 = 10 5 x 3 = 15 5 x 4 = 20 5 x 5 = 25 5 x 6 = 30 5 x 7 = 35 5 x 8 = 40 5 x 9 = 45 5 x 10 = 50 6 x 1 = 6 6 x 2 = 12 6 x 3 = 18 6 x 4 = 24 6 x 5 = 30 6 x 6 = 36 6 x 7 = 42 6 x 8 = 48 6 x 9 = 54 6 x 10 = 60 7 x 1 = 7 7 x 2 = 14 7 x 3 = 21 7 x 4 = 28 7 x 5 = 35 7 x 6 = 42 7 x 7 = 49 7 x 8 = 56 7 x 9 = 63 7 x 10 = 70 8 x 1 = 7 8 x 2 = 14 8 x 3 = 21 8 x 4 = 28 8 x 5 = 35 8 x 6 = 42 8 x 7 = 49 8 x 8 = 56 8 x 9 = 63 8 x 10 = 70 5 x 11 = 55 6 x 11 = 66 7 x 11 = 77 8 x 11 = 77 5 x 12 = 60 6 x 12 = 72 7 x 12 = 84 8 x 12 = 84 9 Times Table 10 Times Table 11 Times Table 12 Times Table 9 x 1 = 9 9 x 2 = 18 9 x 3 = 27 9 x 4 = 36 9 x 5 = 45 9 x 6 = 54 9 x 7 = 64 9 x 8 = 72 9 x 9 = 81 9 x 10 = x 1 = x 2 = x 3 = x 4 = x 5 = x 6 = x 7 = x 8 = x 9 = x 10 = x 1 = x 2 = x 3 = x 4 = x 5 = x 6 = x 7 = x 8 = x 9 = x 10 = x 1 = x 2 = x 3 = x 4 = x 5 = x 6 = x 7 = x 8 = x 9 = x 10 = x 11 = x 11 = x 11 = x 11 = x 12 = x 12 = x 12 = x 12 = 144 3
4 STUDY Division Facts Chart STUDY 1 Division Facts 2 Division Facts 3 Division Facts 4 Division Facts 1 1 = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = 12 5 Division Facts 6 Division Facts 7 Division Facts 8 Division Facts 5 5 = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = 12 9 Division Facts 10 Division Facts 11 Division Facts 12 Division Facts 9 9 = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = 12 4
5 PLACE VALUE GREATER THAN, LESS THAN, EQUAL TO > < = Use the above symbols. 4,567 5, tens thousands 4,000 1,567 1,566 4 thousands , ,366 1, ,403 2,567 2, ,007 sixty seven Nine thousand five 9,005 5,567 5,589 1,111 1,011 23,987 2,398 READ THE NUMBERS TO SOMEONE. 5
6 NUMBER PARTS
7
8 NUMBER RIDDLE 2,743 Write the number that is: One greater One less 10 greater 10 less 100 greater 100 less 1,000 greater 1,000 less 8
9 NUMBER RIDDLE 8,591 Write the number that is: One greater One less 10 greater 10 less 100 greater 100 less 1,000 greater 1,000 less 9
10 NUMBER RIDDLE 48,749 Write the number that is: One greater One less 10 greater 10 less 100 greater 100 less 1,000 greater 1,000 less 10
11 USING DIFFERENT STRATEGIES Good problem solvers are efficient, accurate and flexible. Show 2 different ways to solve the problem! Show Your Thinking: = Way #1 Way #2 Show Your Thinking: = Way #1 Way #2 11
12 Show 2 different ways to solve the problem! Show Your Thinking: 4, = Way #1 Way #2 Show Your Thinking: 3,345 1,207 = Way #1 Way #2 12
13 Addition and Subtraction with composing and decomposing 5, , , ,
14 Addition and Subtraction with composing and decomposing 3, ,670 2, ,301 1,107 3,857 1,301 14
15 Addition and Subtraction with composing and decomposing 1, , , ,
16 Addition and Subtraction with composing and decomposing 3, ,631 2, , ,157 2,301 16
17 MULTIPLICATION PATTERNS 8 x 1 = 8 x 10 = 8 x 100 = 8 x 1,000 = 5 x 1 = 5 x 10 = 5 x 100 = 5 x 1,000 = 9 x 1 = 9x 10 = 9 x 100 = 9 x 1,000 = 3 x 1 = 3 x 10 = 3 x 100 = 3 x 1,000 = 10 x 1 = 10 x 10 = 10 x 100 = 10 x 1,000 = 12 x 1 = 12 x 10 = 12 x 100 = 12 x 1,000 = 10 x 45 = 64 x 100 = 24 x 100 = 125 x 10 = 10 x 97 = 63 x 100 = 17
18 5 x 60 = 4 x 40 = 5 x 30 = 9 x 20 = 3 x 60 = 2 x 40 = 5 x 20 = 8 x 20 = 7 x 30 = 2 x 80 = 3 x 60 = 3 x 40 = 5 x 60 = 4 x 50 = 5 x 40 = 2 x 40 = 9 x 30 = 4 x 70 = Amy had 5 bags. Each bag had 30 pencils. How many pencils did Amy have? Show how you solved this problem. 18
19 PROBLEM SOLVING Draw arrays to solve the problems. 6 rows of chairs. 3 chairs per row. How many chairs? Two rows of apples. Seven apples in each row. How many apples? 3 rows of cans. 7 cans per row. How many cans? Nine rows of ants. Two ants in each row. How many ants? 19
20 FINDING UNKNOWNS WITH MULTIPLICATION AND DIVISION 7 X = 14 5 = = X 3 8 X = 48 X 9 = 18 8 = = 4 x 20 5 = 6 X = 18 9 = = X 3 5 X = 30 X 2 = 18 6 = = 4 x 30 5 = 1
21 Multiplication and Division x Fact Family 3 15 X x x = 5 x = = = 2 10 X x x = 5 x = = = 2
22 4 20 X x x = x = = = 3 x x = X 9 x = = = 5 x x = X 8 x = = = 3
23 8 24 X x x = x = = = 28 X x x = 7 x = = = 5 x x = X 7 x = = = 4
24 FACTS PRACTICE 3 x 7 = 5 x = 15 6 x 4 = 3 x = = 4 x x 9 = 27 2 x 7 = 7 x = 35 5 x 4 = 6 x = = 8 x x 8 = 16 3 x 9 = 7 x = 14 5 x 4 = 5 x = 25 8 = 4 x x 7 = 7 5 x 10 = 4 x = 40 5
25 FACTS PRACTICE 3 x 3 = 2 x = 10 6 x 10 = 9 x = = 7 x x 5 = 15 3 x 10 = 10 x = 40 6 x 0 = 9 x = = 8 x x 8 = 64 2 x 9 = 7 x = 28 5 x 9 = 5 x = = 2 x x 7 = 70 5 x 11 = 4 x = 44 6
26 PROBLEM SOLVING 4 in Mrs. Olson-Beck wanted to put a wood frame 2 in around her picture. She needs to buy the wood for her frame. How many inches of wood does Mrs. Olson-Beck need to buy? Show how you solved the problem. Use pictures, words, and/or numbers to show your work. Mrs. Doeh measured her book. The book measured 6 inches on the top and 8 inches on the side. What is the perimeter of the book? Show how you solved the problem. Use pictures, words, and/or numbers to show your work. 8 in 6 in 7
27 ? ft Lydia had a new rug for her room. 6 ft Lydia s mother said that the perimeter of the rug is 22 feet. Each long side of the rug measures 6 feet. What is the length of the other two sides?? ft Show how you solved the problem. Use pictures, words, and/or numbers to show your work. 6 ft Hose drew a rectangle. His friend said that the area of this rectangle is the same as the perimeter. Do you agree with Hose s friend? YES NO Explain why. Show how you solved the problems. Use pictures, words, and/or numbers to show your work. 8
28 Natalie had a string that measured 34 inches. Gio had a string that measured 51 inches. How much longer is Gio s string than Natalie? Show how you solved the problem. Use pictures, words, and/or numbers to show your work. Write an equation for your problem. David s dog weight 16 pounds when it was a puppy. Now David s dog weighs 51 pounds. How many pounds did the dog gain? Show how you solved the problem. Use pictures, words, and/or numbers to show your work. Write an equation for your problem. 9
29 There were 349 students at the school fair. 125 students left before lunch time. How many students were at the fair for lunch? Show how you solved the problem. Use pictures, words, and/or numbers to show your work. Write an equation for your problem. Cristina and Ariana opened their piggy bank. There was 482 pennies in the bank. They decided to save 420 pennies to buy a toy. Cristina and Ariana will share the rest of the pennies to buy some candy. How many pennies will each girl have? Show how you solved the problems. Use pictures, words, and/or numbers to show your work. Write an equation for your problem. 10
30 Ms. Yordan baked a cake. Mrs. Doeh ate of the cake. How much cake was left? Show how you solved the problem. Use pictures, words, and/or numbers to show your work. Mrs. Robles was serving pizza at math night. All of the pizzas were cut into eights. There were of the pizza left. Was there more or less than a whole pizza left? Explain how you know. Show how you solved the problem. Use pictures, words, and/or numbers to show your work. 11
31 There are 4 girls in the media center. There are twice as many boys as girls in the media center. How many boys are in the media center? Show how you solved the problem. Use pictures, words, and/or numbers to show your work. Write an equation for your problem. Mary sold 4 times as many raffle tickets as Lisa. Lisa sold 9 tickets. How many tickets did Lisa sell? Show how you solved the problem. Use pictures, words, and/or numbers to show your work. Write an equation for your problem. 12
32 If this is one half, draw one whole. FRACTIONS If this is one whole, color to show one half. This is one third, draw one whole. If this is one whole, color to show one half. 13
33 Partition this number line into fourths. Show 0 1 Partition this number line into thirds. Show 0 1 Circle the greater fraction. Draw a picture to show why your answer is correct. Circle the greater fraction. Draw a picture to show why your answer is correct. 14
34 FRACTIONS GREATER THAN ONE Write TWO fraction number names for the pictures. A. 2 B. C. D. 15
35 LINE PLOTS Look at the data below about the lengths of some pencils in Ms. Doeh s class. Lengths of Pencils in Ms. Doeh s Class Pencil A - 12 centimeters Pencil B 11centimeters Pencil C 12centimeters Pencil D 14centimeters Pencil E - 15 centimeters Pencil F 13centimeters Pencil G - 15 centimeters Pencil H 14 centimeter Pencil I 13 centimeters Pencil J 16 centimeters Pencil K 17 centimeters Pencil L 14 centimeters Finish numbering the scale. Create a line plot to organize the data. Lengths of Pencils in Ms. Doeh s Class Length in Centimeters 16
36 TIME 1. Look at each clock. Write the time under each clock. : : : 2. Draw the hand on the clock to show the time. 8:06 8:47 12:41 3:27 5:28 12:35 9:03 7:49 10:59 17
37 Practice telling time on a clock at home. ELAPSED TIME Solve the problems. Use a time line or clock to help you solve the problem. Jennifer was baking a cake. She put the cake into the oven at 4:30. It will take 40 minutes for the bake to be done. What time will the cake be done? Walter needed to be in school at 8:40. It takes him 20 minutes to walk to school from his house. What time does Walter need to leave his house to get to school on time? 18
38 Bonnie loves to read. She began reading at 3:10. She stopped reading at 4:00. How long did Bonnie read? Gina took 35 minutes to wash the dishes. She took 40 minutes to sweep the floor. How long did Gina work? 19
39 Draw the money amounts. 79 MONEY $1.59 $5.09 $11.75 $
40 PROBLEM SOLVING WITH MONEY Taylor has 4 coins. The total value is 35. What coins does he have? Ivan has 3 quarters, 3 dimes and six pennies. Stephanie has 10 dimes and 3 nickels. Who has more money? Explain how you know. Would you rather have 5 quarters or 20 dimes? Explain why. 21
41 MEASUREMENT Use the words in the sentences. length weight time temperature capacity 1. When you measure how long it takes you to do homework you are measuring. 2. When you measure how heavy something is you are measuring. 3. When you measure how long a pencil may be you are measuring. 4. When you measure how much liquid will fill the bathtub you are measuring. 5. When you measure how hot or cold your food is you are measuring. 22
42 Cut out the cards. Practice the facts. 23
43 2 x 2 2 x 3 2 x 4 2 x 5 2 x 6 2 x 7 2 x 8 2 x 9 2 x 10 2 x 11 2 x 12 3 x 2 3 x 3 3 x 4 3 x 5 3 x 6 24
44 25
45 3 x 7 3 x 8 3 x 9 3 x 10 3 x 11 3 x 12 4 x 2 4 x 3 4 x 4 4 x 5 4 x 6 4 x 7 4 x 8 4 x 9 4 x 10 4 x 11 26
46 27
47 4 x 12 5 x 2 5 x 3 5 x 4 5 x 5 5 x 6 5 x 7 5 x 8 5 x 9 5 x 10 5 x 11 5 x 12 6 x 2 6 x 3 6 x 4 6 x 5 28
48 29
49 6 x 6 6 x 7 6 x 8 6 x 9 6 x 10 6 x 11 6 x 12 7 x 2 7 x 3 7 x 4 7 x 5 7 x 6 7 x 7 7 x 8 7 x 9 7 x 10 30
50 31
51 7 x 11 7 x 12 8 x 2 8 x 3 8 x 4 8 x 5 8 x 6 8 x 7 8 x 8 8 x 9 8 x 10 8 x 11 8 x 12 9 x 2 9 x 3 9 x 4 32
52 33
53 7 x 11 7 x 12 8 x 2 8 x 3 8 x 4 8 x 5 8 x 6 8 x 7 8 x 8 8 x 9 8 x 10 8 x 11 8 x 12 9 x 2 9 x 3 9 x 4 34
54 35
55 9 x 5 9 x 6 9 x 7 9 x 8 9 x 9 9 x 10 9 x 11 9 x x 2 10 x 3 10 x 4 10 x 5 10 x 6 10 x 7 10 x 8 10 x 9 36
56 37
57 10 x x x x 2 11 x 3 11 x 4 11 x 5 11 x 6 11 x 7 11 x 8 11 x 9 11 x x x x 2 12 x 3 38
58 39
59 12 x 4 12 x 5 12 x 6 12 x 7 12 x 8 12 x 9 12 x x x 12 40
60 41
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