4th Grade Math Workstation AGENDA 7:30 - 7:40 – Do Now (10 minutes) 7:40 - 8:00 – Direct Instruction w/Guided Practice (I DO, WE DO) (20 minutes) 8:00 - 10:00 – Workstations (YOU DO) (60 minutes) 10:00 – 10:10 – Debrief/Exit Ticket CCSS S Targeted Objectives and Identified Verbs *4.OA.4 I can find and list all factors pairs for whole numbers 1-100. I can recognize, state, and show that a whole number is a multiple of its factors. I can use multiplication/division to determine that a whole number is a multiple (1-100). I can determine and describe prime and composite numbers. *4.OA.5 I can generate a number or shape pattern that follows a given rules. I can identify features of the pattern that were not explicit in the rule. WORKSTATION ACTIVITIES (15 minute rotations) #1 - Current Standard (Factors Rainbow) *4.OA.4 #2 - Math Facts in a Flash on iPads #3 – STAR (Factors/Multiples & Prime/Composite Prescription) *4.OA.5 *4.OA.5 #4 - Accelerated Math (AM) Name ____________________________________ Date _________________________ Group Members ____________________________________Standard (s) 4.OA.4/4.OA.5 Factors, Multiples, Prime, Composite, & Patterns Prescription EXEMPLAR 1. Find ALL of the factor pairs for 12. 2. Caleb was writing the multiples of 8 on his paper, but his sister accidentally erased some of them. Determine what multiples are missing. 8, ___, ____, 32, ____, 48, ____, 64, ___, 80 3. Randy said that 13 is prime number. Sue said it is a composite number. Determine which student is correct? Justify your answer. 4. List the first 6 multiples of 6. __________________________________ List the first 6 multiples of 12. __________________________________ What are the common multiples of these numbers? _____________________________________ 5. Determine all of the prime numbers between 20 and 30. Explain your thinking. ______________________________________ ______________________________________ ______________________________________ ______________________________________ ______________________________________ 7. Generate a rule for the following pattern. 6. Justify using the following process. 18 /\ 1 18 2 9 3 6 8. Suppose that the first term of a pattern is 3. Each subsequent term is 2 times the term before it. 79, 72, 56, 51, 47, 44 Enter the first 6 terms of the pattern in the table below. Term number 1 2 3 4 5 6 Term Name ____________________________________ Date _________________________ Group Members ___________________________________ Standard (s) 4.OA.4/4.OA.5 Factors, Multiples, Prime, Composite, & Patterns Prescription EXEMPLAR 1. Find ALL the factors pairs for 12. Î “What #s can I multiply together to get this #?” “What #s can divide into 12 EVENLY?” Determine what multiples are missing. 8, ___, ____, 32, ____, 48, ____, 64, ___, 80 12 / \ 1 2 3 2. Caleb was writing the multiples of 8 on his paper, but his sister accidentally erased some of them. 12 6 4 The factor pairs of 12 are 1 X 12, 2 X 6, and 3 X 4. Because the commutative property of multiplication states that numbers can be multiplied in any order and the same product will remain the same, 12 X 1, 6 X 2, and 4 X 3 are also factor pairs of 12. I can determine the multiples of 8 by using the 8 multiplication facts. 8X1=8 8 X 2 = 16 8 X 3 = 24 8 X 4 = 32 8 X 5 = 40 8 X 6 = 48 8 X 7 = 56 8 X 8 = 64 8 X 9 = 72 8 X 10 = 80 I know these are factors pairs of 12 because all of the By using the 8 facts, I have determined that 16, 24, 40, numbers listed above divide into 12 EVENLY. 56, and 72 are the missing multiples in this pattern. 3. Randy said that 13 is prime number. Sue said it is a composite number. Determine which student is correct? Justify your answer. 13 is a prime number; therefore, Randy is correct. I know this because prime numbers only have 2 factors 1 and itself. 13 is ONLY divisible by 1 and itself. 4. List the first 6 multiples of 6. Î “I can skip count by 6 to find the multiples of a 6.” 6, 12, 18, 24, 30, and 36 are the first 6 multiples of 6. List the first 6multiples of 12. Î “I can write my 5 multiplication facts to determine the multiples of 5.” 5X1=5 5 X 2 = 10 5 X 3 = 15 5 X 4 = 20 5 X 5 = 25 5 X 6 = 30 The first 6 multiples of 5 are 5, 10, 15, 20, 25, and 30. What are the common multiples of these numbers? A common multiple of 5 and 6 is 30. 5. Determine all of the prime numbers between 20 and 30. Explain your thinking. 6. Justify using the following process. Î “…means to explain 20 / \ 1 20 2 10 4 5 21 / \ 1 21 3 7 22 / \ 1 22 2 11 26 / \ 1 26 2 13 27 / \ 1 27 3 9 28 / \ 1 28 2 14 23 / \ 1 23 24 / \ 1 24 2 12 3 8 4 6 29 / \ 1 29 18 /\ 1 18 2 9 3 6 25 how do I know what I know…” / \ 1 25 5 5 This is a factorization tree for 18. This process is used to assist with finding all of the factors of 18. 1, 2, 3, 6, 9, and 18 are the only numbers that divide into 18 EVENLY. 30 / \ 1 30 2 15 3 10 5 6 By finding the factor pairs of all the numbers between 20 and 30, I have determined that 23 and 29 are the only prime numbers in this series. These numbers are prime because the only factors they have are 1 and themselves. 7. Generate a rule for the following pattern. 8. Suppose that the first term of a pattern is 3. Each subsequent term is 2 times the term before it. 79, 72, 56, 51, 47, 44 Enter the first 6 terms of the pattern in the table below. Because the numbers are decreasing, I can determine that subtracting or division are the operations used. Therefore, I’ve determined that a successive term is created by the rule Subtract 7 or 51 – 44 = 7, 44 – 37 = 7, and so on. Term number 1 2 3 4 5 6 Term TASK CARDS Factors Rainbow Step 1: Pull a rainbow. Step 2: Determine which factors can divide into the given number. Step 3: Write one factor in the cloud on the left side of the rainbow. Write the other factor, straight across, in the cloud on the right side of the rainbow. Step 4: Determine if the number beneath the rainbow is prime or composite. *A prime number has only TWO factors….1 and itself! *A composite number has MORE THAN two factors! Step 5: What’s your evidence? On the back of the rainbow, explain how you determined this. Step 6: Place your completed work inside of your center folder. Factors, Multiples, Prime, Composite, & Patterns Prescription Step 1: Carefully, read over each item on the prescription with your group members. Step 2: Underline important words. Step 3: Use the anchor charts to assist with answering all questions. Step 4: As you complete the prescription, be sure to show your work and/or evidence for each item. Step 5: Place your completed work inside of your center folder. Accelerated Math (AM) Step 1: Get your ID card. Step 2: Sign in. Step 3: Begin on the lesson that is assigned to you. Step 4: Record your lesson number and scores as you go. Math Facts in a Flash Step 1: Get your ID card. Step 2: Sign in. Step 3: Begin on your current session. Step 4: When time is up, record the level that you stop on. Factors Factors are numbers multiplied together to get a specific product. “How do I find these factors?” Step 1: Think of all the factors the given number is divisible by. 24 ÷ 1 = 24 24 ÷ 2 = 12 24 ÷ 3 = 8 24 ÷ 4 = 6 Step 2: Complete: a Factor Rainbow by placing 1 factor on the left side of the rainbow and placing the 2nd factor on the right side of the rainbow. or a Factorization Tree by listing the 24 / 24 12 8 6 \ 1 2 3 4 Multiples A multiple is the result of multiplying a number by an integer (another number). “How do I find these multiples?” Step 1: Write the given number down. 6 Step 2: Skip count by this number to get to the next multiple OR multiply 6 X 2. 6, hhhmmm…6, 7, 8, 9, 10, 11, 12 Step 3: Write this multiple down after the 1st multiple. 6, 12, Step 4: Skip count again to get the next multiple OR multiply 6 X 3. 6, 12, hhhmmm…12, 13, 14, 15, 16, 17, 18 Step 5: Write this multiple down after the 2nd multiple. 6, 12, 18 Step 6: Continue this process until you have the 1st 5 multiples. Prime Numbers A prime number is a number that is divisible by ONLY 2 factors…1 and itself. How do I determine if a number is prime? Step 1: Underline the last digit of the number. Step 2: If the digit is even, the number IS NOT prime. Step 3: Apply the divisibility rules to determine the factors of the number. Step 4: If the number is divisible by ONLY 1 and itself, then the number is PRIME. *HINT* 2 is the ONLY even number that is PRIME! Composite Numbers A composite number is a number that is divisible by MORE THAN 2 factors. How do I determine if a number is composite? Step 1: Underline the last digit of the number. Step 2: If the digit is even, the number IS composite. Step 3: If the digit is odd, apply the divisibility rules to determine the factors of the number. Step 4: If the number is divisible by more than 2 factors, then the number is COMPOSITE! *HINT* All even numbers are COMPOSITE except 2! 1 IS NEITHER prime nor composite!!