Name ____________Lasher Monday - Session 1.1 Making Estimates Week of _March 5-9, 2012___________________ Topic: Unit 8 How Many Packages How Many Groups Grade: 4th Tuesday-1.2 Breaking Numbers Wednesday- 1.3 Multiplication Thursday 1.4 Assessment: Friday 1.5 Solving 2 Digit Apart Cluster Problems Solving Multiplication Problems Problems NCS COS OBJ 1.02 Develop fluency with multiplication and division: Two-digit by two-digit multiplication (larger numbers with calculator). Up to three-digit by two-digit division (larger numbers with calculator), Strategies for multiplying and dividing numbers, Estimation of products and quotients in appropriate situations, Relationships between operations. SFO TSW estimate solutions to 2 digit multiplication problems. TSW solve 2 digit multiplication problems by breaking a problem into smaller parts and combining the subproducts. . TSW explore the distributive property. TSW solve 2 digit multiplication problems by breaking a problem into smaller parts and combining the subproducts. EVAL/ ASSES VOC AB/ MATE SAB1-3 SAB 5-8 SAB 9-10 SAB 11-16 RIALS TMM BEFOR E Vocabulary: Estimate, multiplication, landmark, multiple, magnitude Vocabulary: Estimate, multiplication, landmark, multiple, magnitude Vocabulary: cluster Materials: SAB 57-59, T72-73, M15, M26, 27 Materials: SAB Materials: SAB Estimate the following: 1. 19 x 21 = 40 400 2,000 2. 38 x 12 = 380 450 1,000 How did you break the numbers apart? How did you determine the magnitude of your answer? Did you change any numbers in the problem? Why? Introducing Closest Estimate Estimate the following: 1. 21 x 33 = 60 600 1,000 2. 42 x 18 = 420 800 840 How did you break the numbers apart? How did you determine the magnitude of your answer? Did you change any numbers in the problem? Why? Estimating 2 Digit Multiplication Problems Estimate the following: 1. 54 x 23 = 100 500 1,000 2. 60 x 27 = 1,200 1,600 2,000 How did you break the numbers apart? How did you determine the magnitude of your answer? Did you change any numbers in the problem? Why? 28 x 15 We are going to estimate and solve multiplication problems with 2 digits. We will think up stories to make the problems easier. Cluster problems are related to the final problem. Can you think of a situations for this problem when all we need is an estimate, or to know about how much it is? TTW collect examples from the children. 53 x 24 Returning to Cluster Problems Materials: SAB, M14-17 Estimate the following: 1. 23 x 84 = 160 1,600 2,000 2. 57 x 32 = 1,500 1,800 2,100 How did you break the numbers apart? How did you determine the magnitude of your answer? Did you change any numbers in the problem? Why? Introducing Factor Bingo TTW model how to play Factor Bingo. TSW play with a partner Complete SAB 9. Star the cluster problems you used to help you. 46 x 37 Make an estimate for each problem. Will your actual Vocabulary: factor Create a story to accompany the equation. TSW solve 2 digit multiplication problems by breaking a problem into smaller parts and combining the subproducts. SAB 11-18 Vocabulary: Estimate, multiplication, landmark, multiple, magnitude, factor Materials: SAB, M14-17 If the class counted around the room by 15’s what would the last number be? How many students have counted at 105? 240? 315? Multiplication Practice . Math Workshop Factor Bingo Multiplication Cluster Problems (SAB 11-12) Assessment (SAB 14-15) We have 300 students who need penicls. If pencils come in packages of 15, do we have enough if we have 28 packages? TSW work with a partner to answer the question without actually solving the problem. answer be larger or smaller than your estimate? How do you know? TTW solicit responses from the class. TSW complete SAB 5-6 in partners. TTW collect student responses. DURIN TSW complete SAB 1 Using What You Know Breaking Numbers Apart Distributive Property Poster Multiplication Practice Problem 2: TSW use a 8 x 9 array to create a distributive poster. Math Workshop Factor Bingo Multiplication Cluster Problems (SAB 11-12) Assessment (SAB 14-15) G Problem 2: 46 x 37 = 18 x 26 How did you decide which of these estimates was closest? TTW collect student strategies. TSW share their story contexts. Which number tells the size of the group in the story? Which number tells how many groups you have? If you made your story about 37 pencils, how many packages do you have? Did you have a picture in your head of 46 teams with 37 players on each team while solving the problem? Arrays 8x 9 Make one cut and label the arrays Make a different cut and label the arrays Make another cut and label the array. Equations 8 x 9 = 72 Write the equations 8 x9 = ____ + _____ Write the equations 8 x9 = ____ + _____ Write the equations 8 x9 = ____ + _____ AFTER SAB 2-3 Early Finisher: Write your own multiplication story problems and solve them. Early Finisher: Solve your partner’s multiplication problems. 3x5 3 x 60 40 x 60 43 x 65 Give this problem a story. TTW solicit answers from the class. TSW visualize the problem. How could these cluster problems help? Did you add other cluster problems? How did you solve this problem. What if I started with 40 x 30? What would I do next? TSW share strategies that ttw post. SAB 7-8 Keeping Track of Groups SAB 10 SAB 16 SAB 17-18 Early Finishers: Same Products Early Finishers: Calculator Riddles Early Finishers: Calculator Riddles B. Same Products Give students a problem such as: 24 x 18 or 18 x 24 Write a problem that has the same answer. Possible solutions include: 48 x 9 , 12 x 36 , 6 x 72 Explain your reasoning. Prove you are correct by solving the problem. New problem: 25 x 60 Write a problem that has the same product: 50 x 30 100 x 15 Explain your reasoning. Prove you are correct by solving the problem. Some other problems to try: 84 x 60 (42 x 120 21 x 240) 75 x 60 (150 x 30 300 x 15)