How do you properly set up a proportion? • When setting up a...

How do you properly set up a proportion? • When setting up a proportion, you put "like" items across from each other • Use a variable for the item you are solving for. Let's Discuss How do you solve a proportion? Model Example: 3 miles = x miles 21 minutes 63 minutes Nov 10-10:12 AM Luke setup the following proportion to find out how many cups of water are necessary for 20 cups of juice concentrate. He followed a recipe that shows the rate of cups of water to juice concentrate as 6:2. $\frac{6}{2} = \frac{x}{20}$ Sally claims that the Luke is incorrect and the proportion should be setup as follows: $\frac{6}{x} = \frac{2}{20}$ TURN AND TALK: • Who would be correct? Why? • Does the order in which you setup the proportion matter? Explain. • Connect the concept of unit rate and proportions. Nov 12-10:45 PM Group Work: Proportional Relationships Real Life Applications • Discuss questions #'s 1-12 given on the classwork notes. • Show how proportional reasoning relates to each problem • Swap with a peer and check solutions to offer feedback. • State any common errors that you noticed. EXTENSION: a) Write 3 of our own real world problems that involve using proportional reasoning. Provide your solution as well. b) Proportions Challenge worksheet

Transcript

00:01 Let l is the length of the real ship, w is the width of the real ship, and h is the height of the real ship.

00:14 L is the length, w is the width, and h is the height.

00:24 Now, as per the scaling model, the length of the model, these are the values for real ship.

00:37 Now for the model, its length, let it be l -dash should be equal to l by 10.

00:49 So because the scale of model is 1 by 10, its width w -dash is equal to w by 10 and its height h -dash is equal to h by 10.

01:03 These are the values for the model.

01:14 These are the values for, right? now we come to question number one.

01:27 The area in si unit, the area is meter square.

01:39 Now, area of sales of the real ship.

01:43 Area of sales of real ship.

01:52 Real ship is 4 .110 si unit means 4 .1 .10.

01:59 10 meter square.

02:03 Now let l is the we know the area is equal to length into width.

02:10 Let we know l is the length of the real ship and w is the width of the real shape.

02:17 So we can say that lw is equal to 4 .1 .10.

02:23 This is equation number one.

02:27 Now for the scale ship, let its area is equal to say means x so we can say the area of sales of the model ship will be l -dash into w -dash let this be x right and we know l -dash is equal to l by 10 say means from this equation we know l -dash is equal to l by 10 so we can say l by 10 into w by 10 is equal to x, right? we can further solve this.

03:19 It means lw upon 100 is equal to x.

03:26 Here x is the area of sales of model, area of sales of model ship, right? we use the same formula area is length into width but length of the moment's model ship is one by tenth of the length of the real ship and width of the model shape is one by tenth that means width of the real shape so now we know that lw is 4 110 from this equation so we can find say x is equal to 4 110 upon is equal to 4 .10, 4 .10 meter square is the area of sale of the moral shape.

04:36 This is one.

04:41 Now we come to question number two.

04:45 Question number two, length of rigging of the scaled model.

04:51 For scale model, we have the symbol l -dash.

04:54 L -dash is equal to 328 feet.

05:00 So we are supposed to find the length of rigging of the real ship.

05:05 Now we know that real ship length l is equal to 10 times l dash because scaling model is 10.

05:15 So for real ship it should be like this.

05:18 So it should be 10 into 328 is equal to 3 280 feet.

05:27 Right and we converted into meter because here answer is required in meter so this will be triple 9 .74 meter this will be the length of rigging of the real ship right here we are using the conversion factor of 10 because the model's length is equal to real ship length upon 10.

06:00 So from here we can find l is equal to 10 times l -dash.

06:08 Now we come to question number three, right? question number three, let m is the mass carried by the real ship.

06:27 Let m is the mass carried by the mass of cargo, mass cargo of real ship.

06:39 Real ship and the data is given...

Question

Please give Ace some feedback