https://padlet.com/watsonintx2/7fi79h0pqmmd1tsq How does the area model, partial products, and distributive property relate to one another? What do you notice? What are your takeaways? en-us 2020-07-08 12:53:31 UTC 2026-03-07 21:24:33 UTC hello@padlet.com https://padlet.com/watsonintx2/7fi79h0pqmmd1tsq/wish/650298779 Each model allows the student to approach the equation with the knowledge that they have. They are able to break the problem down into smaller equations that they are familiar with. It is also visual to them. ]]> 2020-07-08 17:17:45 UTC https://padlet.com/watsonintx2/7fi79h0pqmmd1tsq/wish/650298779 https://padlet.com/watsonintx2/7fi79h0pqmmd1tsq/wish/650298922 all different ways of breaking down the original problem into something easier to digest. All are valid mathematical solutions to a given problem utilizing a legitimate formula/concept vs strategies for solving that are lower on the chart (additive and transitional vs multiplicative)]]> 2020-07-08 17:17:56 UTC https://padlet.com/watsonintx2/7fi79h0pqmmd1tsq/wish/650298922 https://padlet.com/watsonintx2/7fi79h0pqmmd1tsq/wish/650299641 Each practice allows students to break down the problem into easily recognizable problems/solutions. It allows them to easily visualize the problem.]]> 2020-07-08 17:18:43 UTC https://padlet.com/watsonintx2/7fi79h0pqmmd1tsq/wish/650299641 https://padlet.com/watsonintx2/7fi79h0pqmmd1tsq/wish/650299781 Briana Simmons]]> 2020-07-08 17:18:52 UTC https://padlet.com/watsonintx2/7fi79h0pqmmd1tsq/wish/650299781 https://padlet.com/watsonintx2/7fi79h0pqmmd1tsq/wish/650299839 They all are different ways of approaching a problem. They are all ways to solve a multiplication problem. Take away is that there is no one way to solve a problem, it's about what method you prefer and what works best for you.]]> 2020-07-08 17:18:57 UTC https://padlet.com/watsonintx2/7fi79h0pqmmd1tsq/wish/650299839 https://padlet.com/watsonintx2/7fi79h0pqmmd1tsq/wish/650300308 There's a lot of grouping that students will do over time and as they start to move forward in math the grouping can become less pictorial and more procedural. ]]> 2020-07-08 17:19:30 UTC https://padlet.com/watsonintx2/7fi79h0pqmmd1tsq/wish/650300308 https://padlet.com/watsonintx2/7fi79h0pqmmd1tsq/wish/650300449 shows a progression of how a student can navigate/think of the problem and builds upon those early strategies to form multiplicative strategies later on in the learning process. ]]> 2020-07-08 17:19:42 UTC https://padlet.com/watsonintx2/7fi79h0pqmmd1tsq/wish/650300449 https://padlet.com/watsonintx2/7fi79h0pqmmd1tsq/wish/650300822 each breaks down the problem into smaller chunks for better comprehension.]]> 2020-07-08 17:20:12 UTC https://padlet.com/watsonintx2/7fi79h0pqmmd1tsq/wish/650300822 https://padlet.com/watsonintx2/7fi79h0pqmmd1tsq/wish/650300892 Each process breaks down the multiplication problem into smaller, more manageable multiplication and addition problems. It seems like students can use their foundational knowledge to solve more complex problems by using these models.]]> 2020-07-08 17:20:17 UTC https://padlet.com/watsonintx2/7fi79h0pqmmd1tsq/wish/650300892 thurmannatashia https://padlet.com/watsonintx2/7fi79h0pqmmd1tsq/wish/650300912 I notice that they are several strategies for students to interact with different problems and problem structures. They gain more knowledge and it helps them build their early traditional strategy to keep them moving forward with math.]]> 2020-07-08 17:20:19 UTC https://padlet.com/watsonintx2/7fi79h0pqmmd1tsq/wish/650300912 https://padlet.com/watsonintx2/7fi79h0pqmmd1tsq/wish/650301127 Each strategy describes an approach for multiplying or dividing numbers. The best strategy to use is dependent on the context of the problem. Area models are used to find area, and in that way, this strategy utilizes a visual model; partial products is algorithmic; the distributive property breaks down numbers according to place value.]]> 2020-07-08 17:20:24 UTC https://padlet.com/watsonintx2/7fi79h0pqmmd1tsq/wish/650301127 https://padlet.com/watsonintx2/7fi79h0pqmmd1tsq/wish/650301148 All of the practices are similar because they break down bigger numbers in multiplication and division problems to solve them easier. I noticed that each method uses similar strategies when simplifying the question but use different designs (boxes, traditional method, etc.)

]]> 2020-07-08 17:20:26 UTC https://padlet.com/watsonintx2/7fi79h0pqmmd1tsq/wish/650301148 https://padlet.com/watsonintx2/7fi79h0pqmmd1tsq/wish/650301433 All different strategies are used to analyzing a problem and arriving at the same conclusion. Area model analyzes/solves problems by using area geometrical shapes (more visual), partial demonstrates by utilizing order or process (numbers)/ traditional method, while solving problems left to right.]]> 2020-07-08 17:20:42 UTC https://padlet.com/watsonintx2/7fi79h0pqmmd1tsq/wish/650301433 https://padlet.com/watsonintx2/7fi79h0pqmmd1tsq/wish/650301447 All are different, equally relevant and correct ways of multiplying two large numbers. In order from area model to partial products to distributive property, they show a student's development to the point where they can think more abstractly about the multiplication algorithm. My main takeaway is that the best way to teach multiplication is to ensure that the student develops conceptual knowledge before they try to use the algorithms. ]]> 2020-07-08 17:20:44 UTC https://padlet.com/watsonintx2/7fi79h0pqmmd1tsq/wish/650301447 https://padlet.com/watsonintx2/7fi79h0pqmmd1tsq/wish/650301476 The area model is a way of visualizing the math taking place when one uses the partial products method or the distributive property. The processes is identical in each one, the difference is the way in which the numbers are laid out.

]]> 2020-07-08 17:20:46 UTC https://padlet.com/watsonintx2/7fi79h0pqmmd1tsq/wish/650301476 https://padlet.com/watsonintx2/7fi79h0pqmmd1tsq/wish/650301627 I notice that there is multiplication involved and the numbers are broken down. Once the numbers are broken down, students can then add the numbers up to find the answer. ]]> 2020-07-08 17:20:57 UTC https://padlet.com/watsonintx2/7fi79h0pqmmd1tsq/wish/650301627 https://padlet.com/watsonintx2/7fi79h0pqmmd1tsq/wish/650302033 Partial products, area model, and distributive property breakdown multiplying in different ways. I think it is a good that there are different ways to the same answer because everyone thinks differently. The traditional way of multiplying can be confusing for some students, so having multiple ways to reach the answer is super cool! I’ve never seen some of these methods and it blew my mind haha]]> 2020-07-08 17:21:25 UTC https://padlet.com/watsonintx2/7fi79h0pqmmd1tsq/wish/650302033 https://padlet.com/watsonintx2/7fi79h0pqmmd1tsq/wish/650302100 OGAP focuses on how students learn math concepts, errors made, and pre/misconceptions.

]]> 2020-07-08 17:21:29 UTC https://padlet.com/watsonintx2/7fi79h0pqmmd1tsq/wish/650302100 https://padlet.com/watsonintx2/7fi79h0pqmmd1tsq/wish/650302638 2020-07-08 17:22:07 UTC https://padlet.com/watsonintx2/7fi79h0pqmmd1tsq/wish/650302638 https://padlet.com/watsonintx2/7fi79h0pqmmd1tsq/wish/650303147 The area model, partial products method, and distributive property all allow the numbers being multiplied to be broken down into smaller, potentially more manageable chunks. The open area model is essentially a visualization of the partial products method, while the distributive property explains why the numbers can be split up in those models.]]> 2020-07-08 17:22:48 UTC https://padlet.com/watsonintx2/7fi79h0pqmmd1tsq/wish/650303147 https://padlet.com/watsonintx2/7fi79h0pqmmd1tsq/wish/650303170 I notice that students will approach the problem with the property or model they see as best or easiest for them to conceptualize. I realize the models break up different parts of the problem, but you still have to multiply...


]]> 2020-07-08 17:22:50 UTC https://padlet.com/watsonintx2/7fi79h0pqmmd1tsq/wish/650303170 https://padlet.com/watsonintx2/7fi79h0pqmmd1tsq/wish/650303180 In life there are many different ways to do something that create the same result. Following this idea are the mathematical concepts that build upon each other. In learning, many students are at different levels of progression each building off the foundation principles of addition and subtraction...

]]> 2020-07-08 17:22:50 UTC https://padlet.com/watsonintx2/7fi79h0pqmmd1tsq/wish/650303180 https://padlet.com/watsonintx2/7fi79h0pqmmd1tsq/wish/650304006 They all use different techniques using multiplication to get to the same product]]> 2020-07-08 17:23:55 UTC https://padlet.com/watsonintx2/7fi79h0pqmmd1tsq/wish/650304006 https://padlet.com/watsonintx2/7fi79h0pqmmd1tsq/wish/650304279 The Area model is similar to the partial product and distributive property because they break down numbers into smaller ones. They Separate tens and ones and solve.  ]]> 2020-07-08 17:24:18 UTC https://padlet.com/watsonintx2/7fi79h0pqmmd1tsq/wish/650304279 https://padlet.com/watsonintx2/7fi79h0pqmmd1tsq/wish/650304622 They all shows how to multiple using different techniques. Many of the techniques have the numbers broken down into smaller ones to make it easier to multiple then add up those numbers.]]> 2020-07-08 17:24:46 UTC https://padlet.com/watsonintx2/7fi79h0pqmmd1tsq/wish/650304622 https://padlet.com/watsonintx2/7fi79h0pqmmd1tsq/wish/650304731 2020-07-08 17:24:53 UTC https://padlet.com/watsonintx2/7fi79h0pqmmd1tsq/wish/650304731 https://padlet.com/watsonintx2/7fi79h0pqmmd1tsq/wish/650304933 The area model and partial products link back to the student's knowledge of place value. It makes it easier for them to keep track of all the numbers they are adding together to get the product. The same goes for the distributive property. When students have a base knowledge of place value, they can easily decompose one of the numbers in a multiplication problem.

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