Naming Multiplication Strategies 2.1 Quick Review What is a prime number? What is a square number? What is a factor? What is a multiple? S Review & Remember What are the prime factors of 36? Use a factor tree to find them! 36 Guiding Questions What are some strategies you can use to solve multiplication problems? Objective Today, you’re going to discover some different strategies you can use to multiply 2 digit numbers. Then, you will make a poster showing your solution to a multiplication problem. Let’s remember ways to keep track of all the parts of a multiplication problem…Solve this problem, and then compare solutions with your neighbor: 18 x 14 Discussion What was the first thing you did to solve 18x14? I only want your first step. Different Strategies Let’s review some different strategies you can use to help you solve multiplication problems. You will put each one in your journal. Creating an easier problem by changing one number 25 x 36 25 x 30 = 25 x 6 = 750 +150 900 Here, we break one number apart to make it easier to solve. Breaking 2 Numbers Apart 35 x 28 35 x 20 = 700 30 x 8 = 240 5 x 8 = + 40 980 Creating an equivalent problem 35 x 28 70 x 14 (double 35, halve 28) 70 x 10 = 700 70 x 4 = +280 980 Arrays 10 18 18 x 14 14 4 1 way array Creating A Story Can you create a simple story to solve 18x14, using your strategy? Drawing a Representation Who can give me some ideas on how to sketch each part of the problem as it is solved (using 18 x 15)? 35 x 28 You may use any tools you find useful, but none are required. Grid Tiles Board 300 Chart You are now going to make a poster that includes the following parts: Create a story problem for 35 x 28 Solve the problem and show your solution clearly Draw a representation for the problem by using tiles, an array, or groups You will use clear and concise notation this year. That means you will show the steps of your solution so that they can be easily followed, and reproduced by someone else. How you solved it, step by step, must be shown! Naming Strategies Now we are going to explain our solutions. As we look at each poster, try to name the strategy after seeing the first step. If you are explaining a strategy, your job is to help us follow your steps and to use your story or picture to explain how you are keeping track of the parts. If you are listening to someone else’s strategy, your job is to listen carefully, try to understand the strategy being explained, and compare it with your own strategy. Ask questions if you need a clearer explanation. Guiding Questions What are some strategies you can use to solve multiplication problems? Independent Work Complete the following: 26 x 12 18 x 32 Use any strategy you would like!