Top 3 Problem Solving Strategies - Free Educational videos for Students in K-12

Top 3 Problem Solving Strategies - By Anywhere Math

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00:0-1	Have you ever felt that you're just not good at
00:02	word problems or when you read a word problem ,
00:04	you think I have absolutely no idea how to get
00:09	started . If you answered yes to either of those
00:12	questions then this video is for you . Welcome anywhere
00:33	. Math . I'm Jeff , Jacobson . And today
00:35	we're going to go over my top three problem solving
00:38	strategies to help you solve word problems . Let's get
00:42	started . Alright . We're gonna start with the number
00:44	three best strategy in my opinion for solving word problems
00:48	and that is solved a simpler problem . This strategy
00:52	works really , really well In two situations . 1
00:56	if the problem you're trying to solve has really difficult
00:59	numbers , what that means is maybe they are really
01:02	large numbers or fractions or decimals or mixed numbers .
01:05	Numbers that are hard to work with . The other
01:07	situation would be if you have just variables or kind
01:11	of a lot of vague information , Either one of
01:13	those , this strategy can work really well . So
01:15	the first part is you want to make it simpler
01:18	and to do that , cut out any extra information
01:21	that you don't need . Once you've done that .
01:24	Then if you have difficult numbers like fractions or decimals
01:27	or mixed numbers , just make them easier , make
01:30	them whole numbers . If you have a lot of
01:32	variables and or it's a very vague problem , you
01:35	want to substitute , choose some values for those variables
01:39	and then once you've done that , solve the problem
01:42	, hopefully at that point it's much easier to solve
01:45	. Once you do that , you think , oh
01:48	I got it , I understand what to do now
01:50	and you figure out the steps , you need to
01:52	solve that problem . Once you've got those steps ,
01:55	go back and do it for the original problem ,
01:58	the original numbers or original variables . Let's go to
02:01	example when you read a question like that and you
02:13	don't know where to get started . Think of these
02:15	strategies now this problem is difficult because it's got a
02:20	whole bunch of fractions . That's tough . We're working
02:23	with difficult numbers so we're gonna make it much simpler
02:27	. But first we're gonna cut out information . We
02:29	don't need no notice . I'm just making it much
02:32	shorter and much simpler . Now . Again , I
02:35	haven't changed the numbers yet so two thirds and 1/5
02:38	. That's hard . I'm still confused . I don't
02:39	know what to do . So in this situation I'm
02:42	going to change the numbers . If I just think
02:44	of we're talking about money race , let's just pick
02:46	an actual whole number and the amount of money two
02:49	thirds is created than 1/5 . So I'm gonna make
02:50	sure the numbers I choose represent that . Let's just
02:54	say the money raised from the website is $20 let's
02:57	say instead of 1/5 . Let's just say $5 .
03:00	If I think of the problem with those numbers ,
03:03	how many times more was raised from the website then
03:07	in person ? How many times more ? Well if
03:10	I did 20 Divided by 5 4 times more .
03:16	That's what I did to solve it with The numbers
03:19	I made up . But now that I know that
03:21	that's the process , I'm going to go back to
03:23	my original numbers so instead of 20 divided by five
03:27	I'm going to do two thirds divided by one fit
03:32	and it's three and a third times more . So
03:37	that's how we use the strategy of solve a simpler
03:40	problem when we have fractions or decimals or mixed numbers
03:43	are really large numbers . We want to make it
03:45	simpler . Alright next my number two strategy guests check
03:49	and revise this strategy sounds super simple . You basically
03:53	do exactly what it says in the name but there's
03:55	little tips that I think will help you be even
03:58	more effective using this strategy . So first this strategy
04:01	, guest check . Revise works really well when you
04:04	need to meet multiple conditions and what that means is
04:07	a problem that says well you have to do this
04:10	and you also have to do this . Maybe it'll
04:12	make more sense when you see the example . The
04:14	first step in guest check advice is to guess and
04:17	you guess an answer that meets one of those conditions
04:21	. Don't think too hard A lot of times people
04:24	when they look at these word problems into thinking what
04:26	should I guess be wishing I guess . Uh And
04:29	they're stressing out , don't just make a guess .
04:32	Obviously after you make that first guess , then we
04:34	are going to check and to check , we check
04:38	it against the other condition . We already know our
04:40	first guest met one condition . Now we check to
04:43	see if it meets the other . Once you check
04:45	if it meets the second edition . Great , you're
04:47	done . You saw this . If it doesn't then
04:50	we revise our guests . And what that means is
04:53	we're using information that we just gathered from looking at
04:58	her from checking our first guest to make a better
05:01	guess , adjust your guests based on the information you
05:05	just got from when you checked it and then you
05:07	go through the whole process again . All right .
05:10	So let's look at the example . Is this a
05:21	good strategy for using guest check revise ? Absolutely .
05:26	There are two conditions . We have to make one
05:29	. Sally has four times as many cards as Emily
05:33	and two together they have 90 guest check device is
05:37	absolutely perfect here . So first my first guest I
05:40	want to make sure it meets one of the conditions
05:43	for me . I'm just going to start with what's
05:45	first and that is Sally has four times as many
05:48	cards as Emily let's say Emily I'm just guessing right
05:53	Emily has 10 cards then Sally has 40 . Right
05:57	? Four times as many . Okay done . I
06:00	met the first condition now it's time to check together
06:03	. They have to have 90 . Well 10 plus
06:06	40 Does not equal 90 . Do I need to
06:10	revise ? Yes I need to revise . Okay so
06:14	now let's go back again . But this time I'm
06:18	looking at this and I'm thinking what information did I
06:21	just gather ? How can I make my guests better
06:24	? Well I know that 10 and 40 10 plus
06:27	40 is not even close to 90 . I got
06:30	to increase my guest for Emily I'm gonna say 15
06:33	. Emily is 15 . Sally four times that is
06:36	going to be 60 . Now let's check is 15
06:40	plus 60 90 and no it is not . But
06:47	We are getting closer we're in the right direction .
06:50	We just hopefully need to start fine tuning a little
06:53	bit . So do I need to revise ? Yes
06:56	I need to increase Emily a little bit more .
06:58	Not as much as before I'm gonna say 18 if
07:00	Emily is 184 times 18 is . Let's see 72-18
07:07	plus 72 that actually is equal to 90 . So
07:13	do I need to revise know once you get that
07:15	note then you're done . I know that Emily Has
07:20	18 cards and sally has 72 . So my final
07:24	answer , how many cars does sally have ? She
07:26	has 72 cards . Now let's check out the top
07:31	spot for problem solving strategies . All right . It's
07:33	time for the top spot . The number one problem
07:37	solving strategy in my humble opinion , which is draw
07:42	a picture . Yes , draw a picture . It's
07:45	the easiest strategy to actually do . But it is
07:49	the most helpful and the most widely used strategy .
07:53	I think I've I've used myself or I've seen other
07:56	people use throughout all my years studying math . Now
08:00	, drawing a picture might sound super simple of a
08:02	strategy , but there are a couple of things that
08:04	will be helpful to know if you're gonna use this
08:07	strategy even even more effectively . So first this strategy
08:11	works really well when you are solving a problem that
08:14	involves shapes . Obviously any pictures or situations that are
08:20	difficult to visualize . So what that means is ,
08:23	you know , it's talking about this problem is talking
08:26	about something some shape or some picture or some situation
08:30	and it's really hard to think of what's happening in
08:32	your head . It's hard to picture it . So
08:35	in that situation draw a picture first , make it
08:39	big . Do not draw your little pictures like this
08:44	and try to label things like this where you can't
08:47	even read it . Make sure you include any information
08:50	that could be useful to your picture . So any
08:53	labels , any distances , any units or other shapes
08:57	include those . The more you can include , the
09:00	more detailed and the better your picture is going to
09:02	be and the more it's gonna help when you're trying
09:05	to solve the problem . Now let's check out the
09:07	example . Let's draw a picture . What are we
09:20	gonna draw ? Well first it's talking about a rectangle
09:22	soap . Let's draw a rectangle . Now we also
09:25	want to include any distances or any other details that
09:28	we can to make it a better picture . So
09:31	I'm going to include this is 70 ft . This
09:35	would obviously then be 40 ft . It's getting a
09:38	little bit more detail . Now we're talking about fence
09:40	posts , Brian puts the fence post every 10 ft
09:44	. So for a fence post I don't need anything
09:45	fancy , I don't need a really fancy drawing .
09:48	I'm just gonna do a dot and I can start
09:50	wherever I'm gonna start right here in the corner .
09:52	There is my first fence posts and it's every 10
09:56	ft . So I'm just gonna count and go around
09:58	there is 10 2060 70 . That's perfect right because
10:05	this distance is 70 ft , I'm gonna keep going
10:08	30 40 Again that's 40 ft . I'm gonna be
10:12	the same 20 30 and then 40 would be on
10:17	my last one . I've got all my fence post
10:19	drawn . So the only thing I have to do
10:21	now is count 2021 22 . So my final answer
10:26	is Brian will need 22 fence post and that's how
10:32	you use draw a picture as always , thank you
10:34	so much for watching and if you like this video
10:36	, please subscribe .

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