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Chapter 4: Lessons 6-7 Multiplication with Regrouping Using Place Value Blocks Solve. 1) 9 x 40 2) 7 x 50 How can we multiply greater numbers? In the real-world, we use multiple strategies to rate and compare quarterbacks by multiplying with regrouping. Multiply 1-digit whole numbers by 2-digit whole numbers. Use base ten blocks to solve multiplication problems. ① ② ③ Regroup- Uses place value to exchange equal amounts when renaming a number. Factor-A whole number that divides exactly into another number. Also a number that is multiplied by another number. Product- The answer or result of a multiplication problem. You are the General Manager for the Tennessee Titans football team. You are looking at the draft for the 2015 season. Your Challenge: Which college quarterback should you draft for your team? To compare the players, you decide to look closely at the statistics. You have the statistics of two quarterbacks after their last 3 games. Player Bo Wallace Justin Worley College University of Mississippi University of Tennessee Touchdowns 11 14 Completions 15 27 Let’s figure out how many points each player gets for their touchdowns by using base ten blocks. Player Justin Worley College University of Tennessee Touchdowns 14 Completions 27 Touchdown 3 points Completion 2 points Let’s figure out how many points Justin Worley received for his touchdowns by using base ten blocks. 3 x 14 4 tens= 40 2 ones = 2 40 + 2 = 42 Let’s figure out how many points Justin Worley received for his completions by using base ten blocks. 27 x 2 5 tens= 50 50 + 4 = 54 4 ones = 4 Now we need to figure out the stats on Bo Wallace. Use base ten blocks to find the number of points Bo earned for his touchdowns and completions. Player Bo Wallace College University of Mississippi Touchdowns 11 Completions 15 Touchdown 3 points Completion 2 points Player Bo Wallace Justin Worley University of Mississippi University of Tennessee Touchdowns 11 x 3 = 33 14 x 3= 52 Completions 15 x 2 = 30 27 x 2 = 54 College Station B: Independent Practice Station C: Fluency Station D: How can using the base ten blocks help you solve multiplication problems? Draw base ten blocks to help you solve 23 x 5. Day 2: Use the Distributive Property to Multiply with Regrouping 4x5 4 x 10 4 x 50 4 x 49 How can we multiply greater numbers? In the real-world, we use multiple strategies to rate and compare quarterbacks by multiplying with regrouping. Multiply 1-digit whole numbers by 2-digit whole numbers. Use the distributive property to multiply greater numbers. ① Distributive Property- To multiply a sum by a number, multiply each addend by the number, and add the products. Yesterday we looked at two quarterbacks to determine which one we should draft. Today we’re going to look at one more possible draft pick, Marcus Mariota. Your Challenge: According to his stats, is Marcus a better pick? Let’s review yesterday’s stats! Player Bo Wallace Justin Worley Marcus Mariota University of Mississippi University of Tennessee University of Oregon Touchdowns 11 x 3 = 33 14 x 3= 52 17 Completions 15 x 2 = 30 27 x 2 = 54 24 College Let’s figure out how many points Marcus received for his touchdowns by using the distributive property. Player College Marcus Mariota University of Oregon Touchdowns 17 Completions 24 Touchdown 3 points Completion 2 points 3 x 17 10 3 30 + 7 21 (3 x 10) + (3 x 7) 30 + 21 51 Let’s figure out how many points Marcus received for his completions by using the distributive property. 2 x 24 20 2 40 + 4 8 (2 x 20) + (2 x 4) 40 + 8 48 Player Bo Wallace Justin Worley Marcus Mariota University of Mississippi University of Tennessee University of Oregon Touchdowns 11 x 3 = 33 14 x 3= 52 17 x 3= 51 Completions 15 x 2 = 30 27 x 2 = 54 24 x 2= 48 College Station B: Independent Practice Station C: Fluency Station D: Which strategy do you like best in solving greater multiplication problems? Why? Use the distributive property to solve: 32 x 6