Unit 1, Activity 2, Grain of Rice. Grade 4 Mathematics


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1 Unit 1, Activity 2, Grain of Rice Grade 4 Mathematics
2 Unit 1, Activity 2, Grain of Rice One Grain of Rice Predict how many grains of rice Rani will get after one month. Complete the table with a partner. Look for a pattern. Number of days (input) Grains of rice (output) Pattern (rule) Number of days (input) Grains of rice (output) Pattern (rule) Number of days (input) Grains of rice (output) Pattern (rule) Blackline Masters, Mathematics, Grade 4 Page 1
3 Unit 1, Activity 2, Grain of Rice Number of days (input) Grains of rice (output) Pattern (rule) 1. How many grains of rice did Rani receive in all? Explain how you got your answer. 2. What did you notice about the grains of rice received each day? Explain the pattern you noticed in the table. Blackline Masters, Mathematics, Grade 4 Page 2
4 Unit 1, Activity 6, Number Riddles Cards Copy on card stock or copy numbers on index cards to make a set for each student. 32,564 23,564 34,687 45,230 45,459 34,876 45, ,409 54,409 34,078 45, ,564 Blackline Masters, Mathematics, Grade 4 Page 3
5 Unit 1, Activity 8, Ten Digit Spinner Partner 1 s Spinner Partner 2 s Spinner Blackline Masters, Mathematics, Grade 4 Page 4
6 Unit 1, Activity 8, Spin and Win You will also need the Ten Digit Spinner, BLM. The first person spins and writes his digit on one of the blank spaces. Once a digit is placed in a space, it cannot be moved. The second person spins and does the same thing. The partners continue taking turns until there are no more empty spaces. Last, they place the correct symbol (<, >, =) between the numbers determining who has won that round. Name: Name: Winner Round 1 Round 2 Round 3 Round 4 Round 5 Round 6 Round 7 Round 8 Round 9 Round 10 The overall winner of this game was Blackline Masters, Mathematics, Grade 4 Page 5
7 Unit 1, Activity 18, Explain the Rule Name: Date: Complete these tables and state the rule Rule: Rule: Rule: CHALLENGE 62,500 12,500 2, Rule: A. If the numbers in the pattern increase, what operations could be used? B. If the numbers in the pattern decrease, what operations could be used? Blackline Masters, Mathematics, Grade 4 Page 6
8 Unit 1, Activity 18, Explain the Rule with Answers Name: Date: Complete these tables and state the rule Rule: Add 5 (2 + n = 7 n = 5) Rule: Subtract 4 (78 n =74 n = 4) Rule: _Multiply by 2_( 12 x n = 24 n = 2) CHALLENGE 62,500 12, Rule: Divide by 5 (62,500 n = 12,500 n = 5) A. If the numbers in the pattern increase, what operations could be used? Addition or Multiplication B. If the numbers in the pattern decrease, what operations could be used? Subtraction or Division Blackline Masters, Mathematics, Grade 4 Page 7
9 Unit 1, Activity 19, InputOutput Tables Name: Date: 1. Joe s dad gives him $1.00 to start a savings account. If Joe saves $3.00 each month, how much money will he have after one month? Two months? Five months? How long will it take him to save $21.00? Input (Months) Output (Money saved) 0 $1 1 $ Tydrick worked on Saturdays cutting people s lawns. He charged $12 to cut a lawn. It took him approximately 2 hours to complete his work. How many hours will he have to work to have enough money to buy a video game that costs $45? Input (Hours worked) Output (Money earned) 3. The library charges a late fee of 15 a day for books that are overdue. If Maya owes $1.05, how many days overdue is her book? How much will she owe if she keeps it for 2 more days? Draw and label an input/output table to solve this problem. Could you have solved this problem a different way? Explain. Blackline Masters, Mathematics, Grade 4 Page 8
10 Unit 1, Activity 19, InputOutput Tables with Answers Name: Date: 1. Joe s dad gives him $1.00 to start a savings account. If Joe saves $3.00 each month, how much money will he have after one month? ($4) Two months? ($7)Five months? How long will it take him to save $21.00? (7 months) 2. Tydrick worked on Saturdays cutting people s lawns. He charged $12 to cut a lawn. It took him approximately 2 hours to complete his work. How many hours will he have to work to have enough money to buy a video game that costs $45? (Tydrick will have to work 8 hours before he can buy a video for $45.) Input (Hours worked) Output (Money earned) 2 $12 4 $24 6 $36 8 $48 10 Input (Months) Output (Money saved) 0 $1 1 $4 2 $7 3 $10 4 $13 5 $15 6 $18 7 $21 3. The library charges a late fee of 15 a day for books that are overdue. If Maya owes $1.05, how many days overdue is Days Overdue Charges her book? (7 days overdue) How much 1 15 will she owe if she keeps it for 2 more 2 30 days? ($1.35) Draw and label an input/output table to solve this problem Could you have solved this problem a 4 60 different way? yes Explain Divide $1.35 by Subtract 15 over and over and count how many times you did that 7 $1.05 until you got to 0. Or any other 8 $1.20 reasonable answer. 9 $1.35 Blackline Masters, Mathematics, Grade 4 Page 9
11 Unit 1, Activity 7, Specific Assessment, Number Grid Name: Date: 1,991 2,005 2,020 5,315 5,320 5,322 Blackline Masters, Mathematics, Grade 4 Page 10
12 Unit 1, Activity 7, Specific Assessment, Number Grid 6,987 6,992 7,000 99,983 99,999 A. Place these numbers on the correct grid: 2,007 99,976 6,971 2,000 99,994 5, ,000 6,990 2,012 99,971 6,982 5,330 1,995 99,989 6,977 5,308 B. Explain at least one strategy you used to place these numbers on the grid. Blackline Masters, Mathematics, Grade 4 Page 11
13 Unit 2, Activity 3, Find Your Partners Copy this on large cards. Distribute the cards to the class. Have them walk around the room until they have found their partners. Then have each group read their number in standard, word, and expanded form. 302,465 Three hundred two thousand four hundred sixtyfive 300,000+2, ,265 Thirtyfour thousand two hundred sixtyfive 30,000+4, ,625 Three hundred four thousand six hundred twentyfive 300,000+4, ,546 Thirtytwo thousand five hundred fortysix 30,000+2, ,465 Thirtytwo thousand four hundred sixtyfive 30,000+2, ,456 Three hundred twenty thousand four hundred fiftysix 300,000+20, ,420,456 Three million, four hundred twenty thousand four hundred fiftysix 3,000, , , ,456 Thirtytwo thousand four hundred fiftysix 30,000+2, Blackline Masters, Mathematics, Grade 4 Page 12
14 Unit 2, Activity 5, Bonus Purchase Bingo The teacher will run these cards on card stock and cut them apart to make Bonus Purchase Bingo Cards. After cutting the cards, place them in a box and have students pull cards in random order. Two items that cost $4.60 (Possible answers: =$9.20 or Estimated $ $5.00 = $10.00) The student will decide which one to mark. One item that costs $14.78 (Possible answers: $15.00 or $14.78) Two items that costs $12.45 (Possible answers: $24.90 or $24.00) Three items that cost $3.25 (Possible answers: $ $ $3.25 =$9.75 or Estimated $ $3.00 +$3.00 = $9.00) The student will decide which one to mark. Two items that costs: $6.75 (Possible answers: $13.50 or $14.00) Three items that cost 75 (Possible answers: $2.25 or $3.00) Blackline Masters, Mathematics, Grade 4 Page 13
15 Unit 2, Activity 5, Bonus Purchase Bingo The teacher will run these cards on card stock and cut them apart to make Bonus Purchase Bingo Cards. After cutting the cards, place them in a box and have students pull cards in random order. Two items that costs $8.55 (Possible answers: $17.10 or $18.00) One item that costs $34.42 (Possible answers: $34.42 or $34.00) Three items that costs $19.80 (Possible answers: $39.60 or $40.00) Blackline Masters, Mathematics, Grade 4 Page 14
16 Unit 2, Activity 6, Money Hunt Pig s Snack Shack Appetizers Fried Cheese Sticks..$4.55 Chips and Salsa $3.25 Cheese Fries..$4.75 Entrees (includes drink and side salad) Hamburger $5.59 Tacos..$5.79 Spaghetti $7.29 Pizza...$6.99 Desserts Ice Cream $3.68 Pie.$4.28 Cake.$4.38 Blackline Masters, Mathematics, Grade 4 Page 15
17 Unit 2, Activity 9, Organizing Your Money Name: $1.00 Each square stands for $.01 Shade in 10 Fraction Decimal Percent $1.00 Each square stands for $.01 Shade in 25 Fraction Decimal Percent $1.00 Each square stands for $.01 Shade in 50 Fraction Decimal Percent Blackline Masters, Mathematics, Grade 4 Page 16
18 Unit 2, Activity 9, Organizing Your Money Name: $1.00 Each square stands for $.01 Shade in 75 Fraction Decimal Percent You can choose your own amount for the next ones. $1.00 Each square stands for $.01 Shade in Fraction Decimal Percent $1.00 Each square stands for $.01 Shade in Fraction Decimal Percent Blackline Masters, Mathematics, Grade 4 Page 17
19 Unit 2, Activity 11, RealWorld Scenarios Name: Date: 1. The fourth graders have earned some free time. They want to play games. There are 7 groups of children with 4 children in each group. How many children are going to play games? 2. Ms. Smith s class is going to play kick ball. They will need two teams. If there are 24 children in the room, how many children will be on each team? 3. Mr. Thompson s class of 27 students wants to have relay races. If they put 9 people on each team, how many teams will they have? 4. Mrs. Clark has put her class into groups of 5 to bring treats for the 5 parties they will have this year. How many students are in Mrs. Clark s class? 5. Challenge QuestionActivities have been planned for the party. Each activity will last twelve minutes. There are three activities. If they begin their party at 2:10 and eat for 30 minutes, will they have enough time for all the activities to be completed by 3:15? Blackline Masters, Mathematics, Grade 4 Page 18
20 Unit 2, Activity 11, RealWorld Scenarios with Answers Name: Date: 1. The fourth graders have earned some free time. They want to play games. There are 7 groups of children with 4 children in each group. How many children are going to play games? 7 x 4 = n 7 x 4 = 28 There are 28 children playing games. 2. Ms. Smith s class is going to play kick ball. They will need two teams. If there are 24 children in the room, how many children will be on each team? 2 x n = 24 or 24 2 = n 24 2 = 12 There will be 12 children on each team. 3. Mr. Thompson s class of 27 students wants to have relay races. If they put 9 people on each team, how many teams will they have? 9 x n = 27 or 27 9 = n 27 9 = 3 They will have 3 teams. 4. Mrs. Clark has put her class into groups of 5 to bring treats for the 5 parties they will have this year. How many students are in Mrs. Clark s class? 5 x 5 = n 5 x 5 = 25 there are 25 students in Mrs. Clark s class. 5. Challenge QuestionActivities have been planned for the party. Each activity will last twelve minutes. There are three activities. If they begin their party at 2:10 and eat for 30 minutes before they begin the activities, will they have enough time for all the activities to be completed by 3:15? 2: minutes = 2:40 They will begin playing games at 2: minutes x 3 games = 36 They will need 36 more minutes to play the games. 2: minutes = 3:16 There is not enough time for all the activities as planned. BonusAsk students for possible solutions to have enough time for their party. (Start or end earlier/less time for eating/ fewer activities/less time for each activity, etc.) Blackline Masters, Mathematics, Grade 4 Page 19
21 Unit 3, Activity 2, Tiles Run on card stock. Have the students cut out the tiles to use to complete this activity. Blackline Masters, Mathematics, Grade 4 Page 20
22 Unit 3, Activity 2, Dividing with Tiles Working with a partner, model each given number using the tiles. Put tiles into groups according to the table s directions. Record the number of groups you were able to make. Divide these numbers into groups of 2. Given Number Groups of Could all these numbers be divided by 2 evenly? Why or why not? Divide these numbers into groups of 5. Given Number Groups of Could all these numbers be divided by 2 evenly? Why or why not? Divide these numbers into groups of 10. Given Number Groups of Could all these numbers be divided by 2 evenly? Why or why not? Divide these numbers into groups of 3. Given Number Groups of Could all these numbers be divided by 2 evenly? Why or why not? 12 BONUS: Can you think of a number that can be divided by 2, 5, and 10? Can you think of a number that can be divided by 2, 3, 5, and 10? (You can use your tiles.) Explain your thinking on the back of this page. Blackline Masters, Mathematics, Grade 4 Page 21
23 Unit 3, Activity 9, Fence It In! = 2 meters end post end post Start at the first end post and using the key for 2 meters, place fence posts every 2 meters. Do not consider the width of the posts. Simply use vertical lines for the posts, as in a chain link fence. How many fence posts will you need to draw? Then, starting with the first post you drew, add shrubs in front of the fence, every 4 meters. How many shrubs will be planted? Explain your work. Blackline Masters, Mathematics, Grade 4 Page 22
24 Unit 3, Activity 10, Catalog Shopping You must order ten items and spend no more than $25 and no less than $20. You must use estimation to determine if your order meets the prescribed criteria before completing the actual order The ten items chosen are: The estimated amount of these items are: Item Purchased How many? Actual Cost Total How close was your estimated amount to your actual amount? Blackline Masters, Mathematics, Grade 4 Page 23
25 Unit 3, Activity 13, Multiple Patterns Circle all the multiples of 2 in red Draw a blue square around the multiples of Blackline Masters, Mathematics, Grade 4 Page 24
26 Unit 3, Activity 13, Multiple Patterns Draw a green triangle around the multiples of Make a list of all the common multiples of 2 and 3 2 and 4 3 and 4 2, 3, and 4 Blackline Masters, Mathematics, Grade 4 Page 25
27 Unit 4, Activity 2, Multiplication Target Game Partner 1 Target Product: Turn Factors Product Difference Too High 1 Difference Too Low Partner 2 Target Product: Turn Factors Product Difference Too High 1 Difference Too Low Blackline Masters, Mathematics, Grade 4 Page 26
28 Unit 4, Activity 7, Multiplication Using Expanded Notation Multiplication Problem Estimated Answer Restated Using Expanded Form Calculator Check 36 x x x x x 19 Blackline Masters, Mathematics, Grade 4 Page 27
29 Unit 4, Activity 7, Multiplication Using Expanded Notation Blank grid to be used for additional practice. Multiplication Problem Estimated Answer Restated Using Expanded Form Calculator Check Blackline Masters, Mathematics, Grade 4 Page 28
30 Unit 5, Activity 9, Division as Part of a Whole Color the squares brown. Then cut them apart to use with the story, Hershey s Milk Chocolate Fractions Book. Use this chocolate bar rectangle to represent the whole unit. Students can put the fractional chocolate parts on top of this bar to help them better understand the fractional parts of the story. Chocolate Bar Write a fractional equivalent. 1/2 = 1/4 = 3/4 = 4/12 = 6/12 = 3/12 =.5 =.25 =.75 = Blackline Masters, Mathematics, Grade 4 Page 29
31 Unit 6, Activity 4, Baking Areas Blackline Masters, Mathematics, Grade 4 Page 30
32 Unit 6, Activity 4, Baking Areas Blackline Masters, Mathematics, Grade 4 Page 31
33 Unit 6, Activity 11, Customary and Metric Measurements Measurement Vocabulary Self Awareness Chart +  Example Definition capacity fluid ounce cup pint quart gallon liter milliliter weight mass gram pound ounce kilogram ton volume cubic cm Cubic in. Blackline Masters, Mathematics, Grade 4 Page 32
34 Unit 7, Activity 1, Fractions on Grids Show 50 on the grid by shading in the correct number of squares. Write 50 using a decimal. What fraction of a dollar is 50? Is there another way to write this fraction? What percent of a dollar is 50? Show 25 on the grid by shading in the correct number of squares. Write 25 using a decimal. What fraction of a dollar is 25? Is there another way to write this fraction? What percent of a dollar is 25? Show 10 on the grid by shading in the correct number of squares. Write 10 using a decimal. What fraction of a dollar is 10? Is there another way to write this fraction? What percent of a dollar is 10? Blackline Masters, Mathematics, Grade 4 Page 33
35 Unit 7, Activity 1, Fractions on Grids Show 75 on the grid by shading in the correct number of squares. Write 75 using a decimal. What fraction of a dollar is 75? Is there another way to write this fraction? What percent of a dollar is 75? Show 5 on the grid by shading in the correct number of squares. Write 5 using a decimal. What fraction of a dollar is 5? Is there another way to write this fraction? What percent of a dollar is 5? Show 60 on the grid by shading in the correct number of squares. Write 60 using a decimal. What fraction of a dollar is 60? Is there another way to write this fraction? What percent of a dollar is 60? Blackline Masters, Mathematics, Grade 4 Page
36 Unit 7, Activity 5, TwoColor Counter Fractions Number of Counters Fraction of Red Counters Fraction of Yellow Counters Blackline Masters, Mathematics, Grade 4 Page
37 Unit 7, Activity 6, Fraction/Decimal/Percent Dominoes 1/2 Number shaded 50%.25 4/8.5 4/12 100% 3/4 1/3 Number shaded 5/10 75% Number shaded.1 25% 9/ / Number shaded 1/4 Number shaded 10/100 Number shaded Number shaded 10% Number shaded Number shaded.75 Number shaded 2/6 Blackline Masters, Mathematics, Grade 4 Page 36
38 Unit 7, Activity 8, It s Not Fair! Measurement Vocabulary Self Awareness Chart Word +  Example Definition chance probability equally likely impossible certain least likely most likely absolutely never sometimes possible Blackline Masters, Mathematics, Grade 4 Page 37
39 Unit 7, Activity 13, Test Taking Probability First Attempt Circle the correct answers. 1. a b c d 2. a b c d 3. a b c d 4. a b c d 5. a b c d 6. a b c d 7. a b c d 8. a b c d 9. a b c d 10. a b c d 11. a b c d 12. a b c d 13. a b c d 14. a b c d 15. a b c d 16. a b c d 17. a b c d 18. a b c d 19. a b c d 20. a b c d Predict the probability of getting the answers correct? How many did you get correct out of 20? /20 What is the percent correct? (You may use a calculator.) Fold here until you are ready to take the second test Second Attempt Circle the correct answers. The answer will never be b or c. 1. a b c d 2. a b c d 3. a b c d 4. a b c d 5. a b c d 6. a b c d 7. a b c d 8. a b c d 9. a b c d 10. a b c d 11. a b c d 12. a b c d 13. a b c d 14. a b c d 15. a b c d 16. a b c d 17. a b c d 18. a b c d 19. a b c d 20. a b c d Predict the probability of getting the answers correct this time? How many did you get correct out of 20? /20 What is the percent correct? (You may use a calculator.) Did your score improve? If so, by how much? Blackline Masters, Mathematics, Grade 4 Page 38
40 Unit 7, Activity 13, Test Taking Probability Friendly Diner s Lunch Choices Spaghetti Dinner Milk Hamburger Dinner Baked Chicken Dinner Fruit Juice Water Jambalaya Dinner Use the lunch choices above to create a table, tree diagram, or list that shows all the possible lunch choices. Use the information above to answer these questions. State the answers as a fraction or a percent. 1. What is the probability that someone would choose milk to go with their lunch? 2. What is the probability that someone would choose the jambalaya dinner? 3. What is the probability that someone would choose a hamburger dinner and juice? 4. What is the probability that someone would choose a spaghetti dinner and tea? Blackline Masters, Mathematics, Grade 4 Page 39
41 Unit 8, Activity 7, Lunch Choices with Answers Friendly Diner s Lunch Choices Spaghetti Dinner Milk Hamburger Dinner Baked Chicken Dinner Fruit Juice Water Jambalaya Dinner Use the lunch choices above to create a table, tree diagram, or list that shows all the possible lunch choices. Example: Organized List Spaghetti Dinner Milk Spaghetti Dinner Fruit Juice Spaghetti Dinner Water Hamburger Dinner Milk Hamburger Dinner Fruit Juice Hamburger Dinner Water Baked Chicken Dinner Milk Baked Chicken Dinner Fruit Juice Baked Chicken Dinner Water Jambalaya Dinner Milk Jambalaya Dinner Fruit Juice Jambalaya Dinner Water Use the information above to answer these questions. State the answers as a fraction or a percent. 1. What is the probability that someone would choose milk to go with their lunch? 4/12 or 1/3 2. What is the probability that someone would choose the jambalaya dinner? 3/12 or 1/4 or 25% 3. What is the probability that someone would choose a hamburger dinner and juice? 1/12 4. What is the probability that someone would choose a spaghetti dinner and tea? 0/12 or 0% Blackline Masters, Mathematics, Grade 4 Page 40
42 Unit 8, Activity 9, Plot a Picture x axis y axis x axis y axis Blackline Masters, Mathematics, Grade 4 Page 41
43 Unit 8, Activity 12, Pattern Machine 4 In Out 16 The rule is: In Out The rule is: In Out The rule is: 72 The rule is: 9 Blackline Masters, Mathematics, Grade 4 Page 42
44 Unit 8, Activity 14, Probability Experiments Complete the directions for each spinner. Record all the possible outcomes for the spinner. Check if the spinner is fair or unfair. Divide this circle into four equal sections. Put a different color in each section. Color Times landed on Possible outcomes for this spinner: This spinner is fair unfair. Try your spinner. Spin it 50 times. Record your results. Create a spinner that contains three colors, such that one color is twice as likely than either of the other two colors. Possible outcomes for this spinner: This spinner is fair unfair. Try your spinner. Spin it 50 times. Record your results. Color Times landed on Blackline Masters, Mathematics, Grade 4 Page 43
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